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Numeracy (Questions 241 – 250) Show session ID Load QuizSave Quiz Welcome to the OLNA Support Numeracy Skill Builder Each question will be multiple choice There will be 4 answers to select from If you can’t figure out the answer, you should use the “Explanation of the Answer” as a guide to work out the correct response There maybe alternate ways to find these answers - this is only our suggested way. If you know another way to figure out the answer, follow that method! Click next to begin! Question 241. A bakery wanted to purchase bulk paper bags for their baked goods.1 box contains 100 paper bags and costs $4Omar wants to buy 18 boxes of paper bags.Which expression states the total cost of purchasing the boxes of paper bags?The correct expression is:Explanation of answer:Step 1: To answer this question it is worth looking at the expressions displayed in the dropdown box. These give us a hint on how to find the answer to the question.Step 2: The answers show us that the number 18 has been split into two parts: 10 and 8. Both must be multiplied by 4 (dollar value) and then added together to give us our answer. The fact that there are 100 paper bags in a box is not important because we are not being asked to calculate the total number of paper bags.Step 3: So 4 x 10 and 4 x 8 are the split numbers. We add the + symbol to the middle of the expression to give us the final number.Step 4: Therefore, the expression is 4 x 10 + 4 x 8Step 5: The correct answer is – a) 4 x 10 + 4 x 8 Please select your answer a) 4 x 10 + 4 x 8 b) 4 x 10 + 4 + 8 c) 4 x 10 + 18 d) 4 x 20 + 8 Question 242. The Emu Downs Wind Farm is a 79.2 MW wind farm, approximately 200 kilometres North of Perth, near Cervantes. The wind farm provides electricity to the Kwinana Desalination Plant to produce drinking water for Perth.If 1 Megawatt (MW) = 1000 kilowatts (kW) and 1 kilowatt (kW) = 1000 watts (W) how many kilowatts are produced by the Emu Downs wind farm?Explanation of answer:Step 1: The most important part of this question is found in the last line. We are asked to find out how many kilowatts (kW) are produced at Emu Downs. We need to convert from MW (79.2 MW) into kilowatts.Step 2: A clue is given in the question, that 1 Megawatt (MW) = 1,000 kilowatts (kW). We can use that information for our equation: 79.2 MW x 1,000 kW/MW = 79,200 kW. Be careful that you do not convert to watts (W) as that will give you the incorrect answer.Step 3: The Emu Downs wind farm produces 79,200 kWStep 4: The correct answer is – d) 79,200 kW a) 79,200,000 kW Refer to Explanation of Answer b) 7,920,000 kW Refer to Explanation of Answer c) 792,000 kW Refer to Explanation of Answer d) 79,200 kW Correct Answer None Question 243. Christine was tiling her living room floor.She bought several boxes of tiles to cover the area of the floor.Each box had 6 tiles and covered an area of 4 m2. Christine used 72 tiles to cover the area.What was the total area covered by tiles?Explanation of answer:Step 1: In answering this question, we need to find out how many square metres 72 tiles cover. Firstly, we know that 6 tiles cover an area of 4 m2, and that she has used 72 tiles to cover the floorStep 2: We can find out how many tiles we use per square metre. This is done by dividing the 6 tiles by the 4 m2 = 1.5 tiles per m2. To find out how many square metres were covered by the 72 tiles, we divide the 72 tiles by the 1.5 m2 per tile. 72 ÷ 1.5 = 48.Step 3: This means that 48 m2 were covered by the 72 tiles.Alternative method:Step 1: We know that Christine used 72 tiles and that there are 6 tiles per box.Step 2: By dividing the 72 tiles by 6 tiles per box 72 ÷ 6 we know Christine used 12 boxes of tiles.Step 3: If Christine used 12 boxes of tiles each capable of covering 4 m2, then she covered a total area of (12 x 4) or 48 m2Step 4: The correct answer is – b) 48 m2 a) 64 m2 Refer to Explanation of Answer b) 48 m2 Correct Answer c) 36 m2 Refer to Explanation of Answer d) 28 m2 Refer to Explanation of Answer None Question 244. Christian was on holiday and rented a motor home with his family for a week.The rental was $80 per day and 80 cents per kilometre driven.After 7 days, Christian returned the motor home having driven a total of 500 kilometres.What was the total bill for renting the motor home?Explanation of answer:Step 1: The first thing to do when answering this question would be figure out how much the rental was for the week. Christian rented the motor home for 7 days at \$80 per day. 7 x \$80 = \$560Step 2: Next would be to find out how much the cost was for the total kilometres he travelled. This would be 80 cents multiplied by 500 kilometres. The easiest way to work this out is to first convert from cents to dollars: 80c = $0.80. Then, to work out 0.8 x 500 we do the following:0.8 x 500 = 0.8 x 5 x 10 x 10 = 8 x 5 x 10 = 40 x 10 = $400. Remember, we converted to dollars, so that’s why the answer is in dollars.Step 3: Now we add the \$560 and \$400 together to get our final cost. \$560 + \$400 = \$960.Step 4: The correct answer is – c) $960 a) $750 Refer to Explanation of Answer b) $880 Refer to Explanation of Answer c) $960 Correct Answer d) $1,020 Refer to Explanation of Answer None Question 245. Matt and Adam were playing a game of Monopoly. Matt needed to roll 2 sixes (12) to pass all of Adam’s properties and land on GO.Adam told Matt that the probability of rolling two sixes was very low and that he would be landing on one of his properties.What is the probability that Matt would roll two sixes and land on GO?Explanation of answer:Step 1: First we must find out the probability of all outcomes (rolled numbers) when rolling two dice. Let’s say we have a green die, and a red die, then we can show all the possible outcomes in the following table.Step 2: The green die’s possible numbers are in the top row (all green) while the red die’s possible numbers are in the first column (all red). The numbers on the yellow background are the total of the numbers on the red and green dice.Step 3: From the table we can see that we have 36 possible outcomes. Matt is only interested in one outcome, which is a 6 on the red die and a 6 on the green die. This gives a total of 12.Step 4: There is only one possible outcome from a total of 36 possible outcomes. There has to be a 6 on both dice to give a total of 12. Hence the probability of rolling two sixes will be 1 over 36, or 1⁄36.Step 5: The correct answer is – a) 1⁄36 a) 1⁄36 Correct Answer b) 2⁄36 Refer to Explanation of Answer c) 12⁄36 Refer to Explanation of Answer d) 18⁄36 Refer to Explanation of Answer None Question 246. Carrie was buying food for her daughter’s birthday party. She noticed that chocolate bars and boxes were on sale.A bar of chocolate was \$3 and a box of chocolates was \$5. She bought the same number of bars as boxes.If she paid with a \$50 note and got \$2 in change, how many bars and boxes did she buy altogether?Explanation of answer:Step 1: There are multiple steps to finding this answer. The first is to find out how much money Carrie spent on chocolate. In the last sentence of the question, she paid with a \$50 note and received \$2 change. This means she paid \$48 for the chocolate.Step 2: The next step requires us to find out how many bars and boxes she bought. A reminder that she bought the same amount of each and the total cost has to equal $48.Step 3: To find this number we should work in multiples of \$3 and \$5. For instance, if we multiply 3 x \$3 (\$9) + 3 x \$5 (\$15) we get a total of \$24 – not the correct answer.Step 4: We can try 4 x \$3 (\$12) + 4 x \$5 (\$20) = \$32 – again not the correct answer.Step 5: From the multiple choice answers we can see the next number is 6. 6 x \$3 (\$18) + 6 x \$5 (\$30) = \$48 which is the correct answer. We know Carrie bought 6 bars and 6 boxes of chocolatesStep 6: The correct answer is – a) 6Alternative explanation of answer:Step 1: As per step 1 in the previous method, Carrie paid $48 for the chocolate.Step 2: The question tells us that she bought the same number of bars as boxes, and that a bar costs \$3 and a box costs \$5. So, in other words, for every \$5 dollars spent, an additional \$3 was also spent, so we are working with multiples of 5 + 3 = \$8. Each \$8 spent represents one bar and one box.Step 3: If we divide Carrie’s total spend of \$48 by \$8, we will find the correct answer. \$48 ÷ 8 = 6, so Carrie bought 6 bars and 6 boxes of chocolate.Step 4: The correct answer is – a) 6 a) 6 Correct Answer b) 8 Refer to Explanation of Answer c) 9 Refer to Explanation of Answer d) 4 Refer to Explanation of Answer None Question 247. Stephen plays for a professional sporting club.He can be remunerated (paid) in several different ways: A weekly wage of $2,000 A game payment of $1,000 A bonus payment of $20,000 if he is the highest scoring player in his team at the end of the year. If Stephen worked for 52 weeks of the year, played 14 games and was also the highest scoring player at the end of the season, how much did he earn?Explanation of answer:Step 1: To answer this question we must figure out the totals for each section of the question and then add them all together to get our answer.Step 2: If Stephen works 52 weeks and is paid \$2,000 per week, then we must multiply those values together to get our first answer: 52 x \$2,000 = \$104,000 (52 x 2,000 = 52 x 1,000 x 2 = 104 x 1,000 = 104,000).Step 3: He plays 14 games and gets \$1,000 per game played. This is: 14 x 1,000 = \$14,000Step 4: He is the highest scoring player and gets a \$20,000 bonus payment.Step 5: We need to add all those values together to get our final answer. \$104,000 + \$14,000 + \$20,000 = \$138,000 (\$104,000 + \$14,000 = \$118,000 and \$118,000 + \$20,000 = \$138,000).Step 6: The correct answer is – d) $138,000 a) $112,000 Refer to Explanation of Answer b) $118,000 Refer to Explanation of Answer c) $127,000 Refer to Explanation of Answer d) $138,000 Correct Answer None Question 248.Nathan owns a petrol station which sells snacks & confectionery at the front desk.Each week he orders 6 multipack boxes (20 packets per box) of Smiths chips to sell.Unfortunately, he was unable to make his order and must purchase the smaller multipack (6 packets per bag) from the shops.How many smaller multipacks does he need to buy to get the same number of chip packets as the larger multipack boxes?Explanation of answer:Step 1: The first step in this process is to find out how many chip packets there are in 6 multipack boxes each containing 20 packets. 6 boxes x 20 chip packets = 120 chip packets (6 x 20 = 6 x 2 x 10 = 12 x 10 = 120).Step 2: We know Nathan had to purchase the small packs which had 6 chip packets in them. As there are 6 packets per bag, we will be working with multiples of 6.Step 3: Our aim is to find out the multiple (or factor) that goes into 120. As we are working with multiples of 6, we know that 10 x 6 = 60. If we doubled that number, we would get 120. So, 10 x 2 = 20.Alternative step 3: We need to work out 120 ÷ 6. If we have 120 chip packets, how many groups of 6 chip packets can we make? To work this out easily we can break up the problem as follows:120⁄6 = 12 x 10⁄6 = 2 x 10 = 20Step 4: It would take 20 packets of the smaller multipacks to get the same number of chip packets as the larger multipack.Step 5: The correct answer is – c) 20 a) 11 Refer to Explanation of Answer b) 16 Refer to Explanation of Answer c) 20 Correct Answer d) 24 Refer to Explanation of Answer None Question 249.A dance company in Perth produced an end of year concert and were selling tickets for audience members.Tickets were sold at \$10, \$20 and \$25 per ticket.The graph below shows the prices and number of tickets sold.What percentage of tickets sold were $20 tickets?Explanation of answer:Step 1: To find a percentage of ticket sales we need to find out how many tickets were sold overall. We need to add the totals of all 3 columns on the graph.Step 2: We can see the number on the left-hand side of the graph. The first column is 90, the second column is 60 and the last column is 50. Add these to get the total: 90 + 60 + 50 = 200. There were 200 tickets sold.Step 3: We must then try and figure out how to get a percentage from the total number of $20 tickets sold. As we have 200 tickets, we can divide that number by 2 to get 100, which is easier to find a percentage (as it is the same figure as 100%) for the tickets sold.Step 4: As we have divided the total tickets sold by 2, we should also divide the total number of $20 tickets sold to get our percentage. 60 ÷ 2 = 30. This now represents tickets sold as a percentage = 30%Step 5: The correct answer is – d) 30% a) 60% Refer to Explanation of Answer b) 45% Refer to Explanation of Answer c) 35% Refer to Explanation of Answer d) 30% Correct Answer None Question 250. Emma has a job working as a receptionist. Her wage is $1,200 after-tax.If she pays 20% of her weekly wage in tax, how much does she earn before tax?Explanation of answer:Step 1: To find out how much Emma earns before tax, we must understand that we need to find a value above her after-tax wage of $1,200.Step 2: If Emma pays 20% of her wage in tax, that means that $1,200 represents 80% of her before-tax wage. We just don’t know what that 20% represents as a value.Step 3: To find that value, we can try and spilt the $1,200 into 20% parts. The reason for doing this, is that 20% is the same as saying 1/5 and 80% is 4/5. If we can break 80% down to 20% parts, we can find out the value of 20%. Step 4: By dividing 80% by 4 we get 4 parts, each being 20%. We can use this same idea for the \$1,200. \$1,200 ÷ 4 = \$300. This means that \$300 is 20% of \$1,200. We can now use this value (\$300) to add to Emma’s after-tax wage of \$1,200 to get her before tax wage.Step 5: \$1,200 (80%) + \$300 (20%) = \$1,500. We can now see that Emma earns \$1,500 before tax.Step 6: The correct answer is – b) $1,500Alternative explanation of answer:Step 1: To find out how much Emma earns before tax; we must understand that we need to find a value above her after-tax wage of $1,200.Step 2: If Emma pays 20% of her wage in tax, that means that $1,200 represents 80% of her before-tax wage. We can write this as the equation 80⁄100 x y = 1,200, which is the same as saying 80% of y equals 1,200, where y is what Emma earns before tax.Step 3: All we have to do now is solve for y. So, we simplify the equation as follows:8⁄10 x y = 1,200And then 8 x y = 1,200 x 10So: y = 1,200 x 10⁄8 = 12 x 100 x 10⁄8 = 3 x 1,000⁄2 = 3 x 500 = $1,500Emma earns $1,500 before tax.Step 4: The correct answer is – b) $1,500 a) $1,650 Refer to Explanation of Answer b) $1,500 Correct Answer c) $1,440 Refer to Explanation of Answer d) $1,300 Refer to Explanation of Answer None You’ve already answered some of the questions! 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Numeracy (Questions 231 – 240) Show session ID Load QuizSave Quiz Welcome to the OLNA Support Numeracy Skill Builder Each question will be multiple choice There will be 4 answers to select from If you can’t figure out the answer, you should use the “Explanation of the Answer” as a guide to work out the correct response There maybe alternate ways to find these answers - this is only our suggested way. If you know another way to figure out the answer, follow that method! Click next to begin! Question 231. Last cricket season Brendan had a batting average of 40. This season he has increased his average by 15% What is his batting average for this season? Explanation of answer: Step 1: To find out Brendan’s batting average for this season, we need to find out what 15% of 40 is and add that value to last season’s batting average of 40 to get the answer. Step 2: First we should split 15% into 10% and 5% to make it easier to calculate. To find 10% of 40, simply drop off the 0 from 40. Essentially, we move the decimal point one place value to the left when we want to find out 10% of a value. 10% of 40 = 4 Step 3: To find the 5% all we have to do is find half of 10%, so 5% is 4 divided by 2 which equals 2. 5% of 40 = 2 Step 4: Add the 4 (10%) and 2 (5%) together to get 15% = 6 Step 5: We then add 6 to 40 to find out Brendan’s new average. 40 + 6 = 46 Step 6: The correct answer is – c) 46 a) 42 Refer to Explanation of Answer b) 44 Refer to Explanation of Answer c) 46 Correct Answer d) 50 Refer to Explanation of Answer None Question 232. At a children’s party, a game of "pass the parcel" was played with a toy as the final prize.12 children played the game and all 12 children could be picked multiple times.8 rounds were played and 8 children got minor prizes. 4 children hadn’t won a prize yet.What chance do each of the four children have of winning the final prize?Explanation of answer:Step 1: This question looks like it would be simple to answer, however, there is a key statement that gives a clue on how to answer the question.Step 2: It is easy to assume that with only 4 children left to win a prize, that they would have a 1 in 4 chance of winning the final prize. That assumption would be incorrect.Step 3: The statement “all 12 children could be picked multiple times” means that any child can be picked twice or more times to win a prize. One of the 4 children might win the final prize, but also one of the 8 children might win the final prize.Step 4: This also means that any of the 12 children could potentially win that final prize. This is represented as a 1 in 12 chance.Step 5: The correct answer is – d) 1 in 12 a) 1 in 2 Refer to Explanation of Answer b) 1 in 4 Refer to Explanation of Answer c) 1 in 6 Refer to Explanation of Answer d) 1 in 12 Correct Answer None Question 233. Once every 6 months Bruce donates plasma to the Australian Red Cross In the last 4 years he has donated 300 millilitres of plasma per visit. How many litres has Bruce donated over those 4 years? Explanation of answer: Step 1: First we must find out how many visits Bruce has made in 4 years. He gives blood every 6 months so he would donate 2 times a year. Multiply those 2 visits (per year) by 4 years and he has donated 8 times over 4 years. Step 2: We then need to multiply that 8 times by 300 millilitres. We can multiply 8 by 3 = 24 and add the two zeros (00) after the 4 to give us = 2,400 millilitres. Step 3: The answers are in litres, so we have to convert 2,400 millilitres into litres. There are 1,000 millilitres to 1 litre. 2,400 ÷ 1000 = 2.4 L Step 4: Bruce has donated 2.4 L of plasma over 4 years Step 5: The correct answer is – c) 2.4 L Alternative Explanation of answer: Step 1: If Bruce donates 300 millilitres of plasma per visit, and he visits twice a year (every 6 months), then this means that he donates 2 x 300 = 600 millilitres each year. Step 2: So, if Bruce has been donating for 4 years, then we need to multiply 600 millilitres by 4 years: 600 x 4 = 1200 x 2 = 2,400 millilitres. Step 3: The answers are in litres, so we have to convert 2,400 millilitres into litres. There are 1,000 millilitres to 1 litre. 2,400 ÷ 1,000 = 2.4 L Step 4: Bruce has donated 2.4 L of plasma over 4 years Step 5: The correct answer is – c) 2.4 L a) 1.2 L Refer to Explanation of Answer b) 1.8 L Refer to Explanation of Answer c) 2.4 L Correct Answer d) 3.2 L Refer to Explanation of Answer None Question 234. Ed drives a special delivery service from Perth to Bunbury once a week. The average time for his one-way drive from Perth to Bunbury is 1 hour and 50 minutes. His average speed is 90 km per hour. Which expression gives the distance, in kilometres, of Ed’s delivery run? Explanation of answer: Step 1: We are looking for a total distance but using speed and time to find our answer as an expression. Step 2: The question states that Ed drives for 1 hour and 50 minutes at an average speed of 90 kilometres per hour. In the expressions shown, the 90 on the left-hand side represents the distance covered in his first hour of driving (90 km). The extra 50 minutes he drove must be represented as a decimal. As 50 minutes is 50⁄60 = 5⁄6 of an hour, this is represented as a decimal as 0.83. Step 3: If we multiply 0.83 hours by 90 km per hour, we will find the distance Ed drives in 50 minutes. The final expression should be written as: 90 + (0.83 x 90) Step 4: The correct answer is – b) 90 + (0.83 x 90) a) 90 + (0.50 x 90) Refer to Explanation of Answer b) 90 + (0.83 x 90) Correct Answer c) 90 + 0.50 Refer to Explanation of Answer d) 90 + 0.83 Refer to Explanation of Answer None Question 235.A company listed on the Australian Stock Exchange (ASX) uses Australia Post to send documents about their Annual General Meetings or share purchase plans to their investors.The cost of sending these documents will depend on their size and weight. Larger, heavier documents will cost more than smaller, lighter documents as seen in the table below.This year the company posted 120 Share Purchase Plan documents and 150 Annual General Meeting documents.Which expression shows the company’s total postage cost?Explanation of answer:Step 1: To find the answer in this question we need to decipher which information helps us in finding the equation that tells us the company’s postage cost. In this instance it will be the type of document, how many of them and the individual cost per document.Step 2: We can see from the table that a Share Purchase Plan (SPP) document costs \$2.20 to post, and from the information below the table, that there were 120 SPP’s posted out. We can also see from the table that an Annual General Meeting (AGM) document costs \$3.30 to post, and there were 150 AGM’s posted out.Step 3: What we need to do now is find the expression that contains this data. If there were 120 SPP’s sent out at a cost of $2.20 each, then this would be represented by (120 x 2.20).Step 4: If there were 150 AGM’s sent out at a cost of $3.30 each, then this would be represented by (150 x 3.30).Step 5: As these costs need to be added together, the total cost expression would look like this: (120 x 2.20) + (150 x 3.30).Step 6: The correct answer is – d) (120 x 2.20) + (150 x 3.30) a) (125 x 2.20) + (250 x 3.30) Refer to Explanation of Answer b) (120 + 150) x (2.20 + 3.30) Refer to Explanation of Answer c) (120 x 3.30) + (150 x 2.20) Refer to Explanation of Answer d) (120 x 2.20) + (150 x 3.30) Correct Answer None Question 236. A Physical Education class consisting of 32 students, were organising a soccer competition.Eighteen of the students are girls, the remainder are boys.One student is responsible for creating fixtures for the competition.Which of the answers below represent the probability that a boy will be allocated to create the fixtures?Explanation of answer:Step 1: To answer this question we must first figure out how many boys are in the class. 32 students subtract 18 (girls) = 14 boys. There are 14 boys out of the 32 students, meaning 14/32 of the students are boys.Step 2: The next part of the question asks us what is the probability that a boy will be picked from the group. As we know there are 14/32 boys in the class. The probability would be 14/32.Step 3: Be careful when picking the answer, as there is another correct answer in the multiple-choice answers. 7⁄16 is also correct because it is exactly the same as 14⁄32 – it’s just the simplified version of the fraction. If you divide both the numerator and denominator of 14/32 by 2, you get 7⁄16.Step 4: The correct answers are – b) 7/16 AND d) 14/32 a) 1/32 Refer to Explanation of Answer b) 7/16 Correct Answer c) 18/32 Refer to Explanation of Answer d) 14/32 Correct Answer Question 237.Charlotte was listening to the Queen Greatest Hits Disc One whilst on the train.She was approximately 20 minutes away from her destination and she was wondering if she could get through the first 5 songs on disc one.What is the total playing time for the first 5 songs?Explanation of answer:Step 1: This can be a tricky question to answer as we are working with time and we must remember there are 60 seconds to each minute when adding totals.Step 2: One method is to simply add the time of one song after another to get the final answer. This is shown in the table below:The total is 18 minutes and 51 seconds.Step 3: An alternative method is to place them into a table and add each time up in their respective columns. The table below shows this:Step 4: There is a very important point to remember in adding time using this method. When it comes to the Tens of Seconds column, we must remember that every 6 tens of seconds equals 1 minute (60 seconds). If we add those numbers in that column, we actually get 17 lots of Tens of Seconds. This means there are 2 minutes and 50 seconds (2 x 60 secs + 50 seconds) of time in that column. The 5 is placed in the total row and the 2 (mins) are placed in the carry over column to add 2 mins to the final total. This method still gives us a total of 18 mins and 51 seconds.Step 5: Both methods give us an answer of 18 minutes and 51 seconds.Step 6: The correct answer is – c) 18 minutes and 51 seconds. a) 19 minutes and 33 seconds Refer to Explanation of Answer b) 18 minutes and 17 seconds Refer to Explanation of Answer c) 18 minutes and 51 seconds Correct Answer d) 17 minutes and 48 seconds Refer to Explanation of Answer None Question 238.Western Australia is the largest iron ore supplier in the world, producing 39% of the global iron ore supply in 2018.An increased demand for iron ore across the world is projected to continue throughout this century.Table sourced from the WA government department of Jobs, Tourism, Science and Innovation.In the above table we can see iron ore demand from Asian countries. Approximately how many Megatonnes did China demand in 2011?Explanation of answer:Step 1: Firstly, we are asked to find data on China’s iron ore demands, we need to find the colour that represents China, which is red on the bar graph.Step 2: Secondly, we need to find 2011 in the chart. We can see the years are displayed in intervals of 3. Start at 2009 and count up to 2011 (two bars to the right of 2009).Step 3: Looking at the red bar in 2011, we can see it reaches the 1,000 Mt line. This gives us our answer for iron ore demand in China in 2011.Step 4: The correct answer is – c) 1,000 Mt a) 1,200 Mt Refer to Explanation of Answer b) 1,050 Mt Refer to Explanation of Answer c) 1,000 Mt Correct Answer d) 900 Mt Refer to Explanation of Answer None Question 239. At a large supermarket distribution centre Marie had to pack eggs into bulk packaging. There were 60 eggs in each bulk container. After she had packed the eggs in containers, she had to place them on the shelves for customers to buy. She had 2 shelves to place the containers on. The top shelf had room for 6 containers, while the bottom shelf had room for 12 containers. In total, how many eggs were there in all the containers on both shelves? Explanation of answer: Step 1: There are multiple steps to answer this question. We are looking for the total amount of eggs in the containers on the 2 fully stacked shelves. Step 2: We are told that there are 60 eggs per bulk container. This means we will be working in multiples of 60. Step 3: The next piece of information tells us that on the top shelf, there was room for 6 containers. We need to multiply the 6 containers by 60 eggs. 60 x 6 = 360 (OR 6 x 6 x 10 = 36 x 10 = 360). Step 4: We are also told the bottom shelf has room for 12 containers. We can find the answer in one of two ways. 1) 12 is double the amount of 6 (containers), so we can double 360 to find our answer, OR 2) multiply 12 by 60 to find our answer. Both pathways will give us an answer of 720. Alternative step: We can add 6 and 12 containers together to get 18 containers, then multiply 18 by 60 to get our answer. We could split the 10 and 8 and find the answer that way as well. (10 x 60 = 600) + (8 x 60 = 480) = 1,080. Step 5: The next step is to add the 2 numbers together to get the combined amount of eggs in all containers on both shelves. 360 + 720 = 1080. There is a total of 1,080 eggs in all the containers on both shelves. Step 6: The correct answer is – b) 1,080 a) 1,240 Refer to Explanation of Answer b) 1,080 Correct Answer c) 980 Refer to Explanation of Answer d) 720 Refer to Explanation of Answer None Question 240. Chiara is a local artist who was asked to paint a dog on a wall in a public space. Before she starts painting, she needs to figure out the size of the wall so she can get the proportions of her painting correct. The brick wall is 18 bricks high and 24 bricks long. Each brick is 20 centimetres high and 30 centimetres long. What is the height of the wall that Chiara is going to paint on? Explanation of answer: Step 1: From the last line in the question, all we are trying to do is find the height of the wall that Chiara is going to paint on. To do this, we need to find the height of a brick, and then multiply it by the number of bricks in the height direction of the wall. Step 2: The question gives us this information. The height of a brick is 20 cm. The question also tells us the wall is 18 bricks high. This means we multiply 20 cm x 18 bricks. Step 3: The easiest way to do this is to split the 20 into 2 lots of 10: 10 x 18 = 180. As we have 2 lots of 180, we add them together to get our answer. 180 + 180 = 360 (or 20 x 18 = 2 x 10 x 18 = 2 x 180 = 360). Step 4: The height of the wall is 360 cm. Step 5: The correct answer is – c) 360 cm a) 260 cm Refer to Explanation of Answer b) 320 cm Refer to Explanation of Answer c) 360 cm Correct Answer d) 400 cm Refer to Explanation of Answer None You’ve already answered some of the questions! Would you like to continue with quiz or restart it from beginning? Time's up
Numeracy (Questions 221 – 230) Show session ID Load QuizSave Quiz Welcome to the OLNA Support Numeracy Skill Builder Each question will be multiple choice There will be 4 answers to select from If you can’t figure out the answer, you should use the “Explanation of the Answer” as a guide to work out the correct response There maybe alternate ways to find these answers - this is only our suggested way. If you know another way to figure out the answer, follow that method! Click next to begin! Question 221.Amber’s Thai green curry recipe serves 4 people. The ingredients are:300g rice1 brown onion210g of Thai green curry paste400 mL of coconut milk450g Chicken100g snow peas1 green capsicumIf Amber wants to make 10 servings, how much additional coconut milk does she need to use?Explanation of answer:Step 1: We know that 400 mL of coconut milk is used to make 4 servings of the recipe, but Amber wants to make 10 servings We are being asked how much extra coconut milk she will need in addition to the 400mL required for 4 servings. So, we need to work out how much coconut milk is needed for 10 – 4 = 6 servings.Step 2: To do this we need to find out how much coconut milk is needed for 1 serving. To find this we divide 400mL by 4 = 100mL. One serving equals 100 mL of coconut milk.Step 3: If 100mL makes 1 serving, then 600mL will make the extra 6 servings Amber wants to make. 100mL x 6 = 600 mL. Amber needs an additional 600mLof coconut milk to make 10 servings of the recipe.Step 4: The correct answer is d) 600 mL Please select your answer a) 1000 mL b) 800 mL c) 700 mL d) 600 mL Question 222. A delivery van has been parked in a loading zone for 38 minutesHow many minutes of parking time has the van got left?Explanation of answer:Step 1: The sign tells us that a vehicle can use a loading zone for one hour. This is the equivalent of 60 minutes.Step 2: The delivery van has been parked for 38 minutes. This means that we need to find the remaining time the van can be permitted to park in the loading zone. This can be done by subtracting 38 from 60. 60 – 38 = 22Step 3: This means that the delivery van has only 22 minutes left to stay parked in the loading zone.Step 4: The correct answer is – d) 22 minutes a) 102 minutes Refer to Explanation of Answer b) 32 minutes Refer to Explanation of Answer c) 28 minutes Refer to Explanation of Answer d) 22 minutes Correct Answer None Question 223. Ava and her 5 friends went out for dinner.The total bill for the dinner was \$146.80.Ava was the only one to have a starter with her main meal.She paid \$16 for her starter and the rest of the bill was shared equally amongst the six of them.Which expression shows the total amount of money Ava paid for her dinner?The total amount Ava paid for her dinner is equal to:Explanation of answer:Step 1: To complete this answer you must use the order of operations acronym BIMDAS (brackets, indices, multiplication, division, addition and subtraction) step by step to find the answer. We do not need to know the value amount of the meal only the expression which would lead us to the final cost.Step 2: To figure out how much it costs Ava for her meal we must break the bill into sections. If the total bill costs \$146.80, we must subtract \$16 from it to determine the portion that is to be shared. This is the first step and is represented by (146.80 – 16).Step 3: The next step requires us to divide the shared portion between the 6 friends. This would be represented by ÷ 6 in the equation.Step 4: The next step would be adding the value of the meal back onto Ava’s amount. This would be represented by +16 in the equation.Step 5: We add all the components together to give the final equation of: (146.80 – 16) ÷ 6 + 16Step 6: The correct answer is – a) (146.80 – 16) ÷ 6 + 16. Please select your answer a) (146.80 – 16) ÷ 6 + 16 b) (146.80 + 16) ÷ 6 - 16 c) (146.80 + 16) ÷ 6 d) (146.80 – 16) ÷ 6 Question 224.Ezekiel was repairing a tap in his back garden.He used an adjustable spanner to tighten the garden tap onto the pipe fixing.Ezekiel placed his spanner in the position below:He rotated the spanner through a three-quarter turn clockwise.What was the position of the spanner after that rotation?Explanation of answer:Step 1: The best way to answer this question is to use the available pictures to visualise the position of the spanner handle in a quarter, half and three-quarter turns.Step 2: Looking at the original picture we can see that the handle is slightly tilted to the right. If we rotated the spanner a quarter turn, it would look like the picture in option b), handle slighted tilted down.Step 3: A half turn would have the spanner handle facing towards the ground and the three-quarter turn would have the handle slightly facing upwards as shown in option a). This means that option a) would be the correct position for a three-quarter turn.Step 4: The correct answer is – a) a) Correct Answer b) Refer to Explanation of Answer c) Refer to Explanation of Answer d) Refer to Explanation of Answer None Question 225.The graph below shows the fundraising effort of two Surf lifesaving Clubs in 2019.How much more money did the Mullaloo SLSC raise than Fremantle SLSC?Explanation of answer:Step 1: The question asks us what is the difference between how much money each club raised. We need to find that difference.Step 2: First look at the vertical lines separating the monetary value on the horizontal axis. This tells us that each interval represents $200.Step 3: Look at the top bar representing Fremantle SLSC. The bar sits three quarters of the way across the interval between the \$1,000 and the \$1,200 lines. If the interval represents \$200, then half the interval represents \$100. So, three quarters of the interval represents \$150. We can see that the Fremantle SLSC bar extends past the \$1,000 line. We add the \$1,000 and \$150 to tell us that the Fremantle SLSC raised \$1,150.Step 4: Look at the bottom bar representing Mullaloo SLSC. The bar sits one quarter of the way across the interval between the \$1,400 and the \$1,600 lines. One quarter of the interval represents \$50. We can see that the Mullaloo SLSC bar extends past the \$1,400 line. We add the \$1,400 and \$50 to tell us that the Fremantle SLSC raised \$1,450.Step 5: To find out the difference raised between the two club we must subtract the Fremantle amount from the Mullaloo amount. So, \$1,450 – \$1,150 = \$300. Mullaloo SLSC raised \$300 more than Fremantle SLSC.Step 6: The correct answer is – d) $300 a) $1,450 Refer to Explanation of Answer b) $1,150 Refer to Explanation of Answer c) $400 Refer to Explanation of Answer d) $300 Correct Answer None Question 226.A father and his young son were watching a West Coast Eagles and Fremantle derby at Optus Stadium.The son asked his father what the green and red zones on the screen meant.The father explained that the green zone represented a goal worth 6 points and the red zone represented a behind worth 1 point.At the end of the game the winning team kick 9 goals and 8 behinds.How many points did the winning team kick, as their final score?Explanation of answer:Step 1: From the description, we know that 1 goal equals 6 points and 1 behind equals 1 point. The team kicked 9 goals and 8 behinds.Step 2: To get our answer we must first multiply 9 goals by 6 points, which equals 54 points. Secondly, we multiply 8 behinds by 1 point, which equals 8 points. We add the 54 points and 8 points together to get 62 points.Step 3: The winning team kicked 62 points as their final score.Step 4: The correct answer is – b) 62 a) 80 Refer to Explanation of Answer b) 62 Correct Answer c) 55 Refer to Explanation of Answer d) 48 Refer to Explanation of Answer None Question 227.Chris owns a farm just South of Perth. He was on the Bureau of Meteorology website looking to gather some information on the likelihood of getting above the median rainfall on his farm.What is the chance that Chris will get above the median rainfall for his farm?Explanation of answer:Step 1: To determine if Chris will get above the median rainfall on his farm, we need to look at two specific areas on the image above. First, we need to look just South of Perth to see what coloured shading is represented in the key to the right-hand side of the image. We can see that colour as being light brown/orange.Step 2: Now looking at the key we can see that the colour light brown/orange represents a 30% to 35% chance of getting above the median rainfall on his farm.Step 3: When looking at our options for the answer 30% to 35% could not be considered for “Moderately Likely” or “Likely”, as they would represent a percentage chance above 50%. “Not at all Likely” would be represented by anything close to 0% chance. This leaves us with “Unlikely”, which would represent a 30%-35% chance of getting above the median rainfall for his farm.Step 4: The correct answer is – c) Unlikely a) Moderately likely Refer to Explanation of Answer b) Likely Refer to Explanation of Answer c) Unlikely Correct Answer d) Not at all likely Refer to Explanation of Answer None Question 228. During the Corona virus pandemic, the public transport capacity in cities around Australia were affected.Each was working at a lower capacity than in normal times.Which figure shows the greatest reduction in public transport capacity?Explanation of answer:Step 1: The quickest way to answer this question is to convert the fractions into their respective percentages, so we can compare using the same units to find the greatest reduction in capacity.Step 2: For a) Brisbane at 3/4 capacity, three quarters is converted into 75%, for d) Adelaide at 2/3 capacity, two thirds is converted into 66%. We now have all the same units to compare against.Step 3: Comparing those percentages we can see that the city with the greatest reduction of capacity is Adelaide with a capacity of 66%.Step 4: The correct answer is – d) Adelaide at 2/3 capacity a) Brisbane: 3/4 capacity Refer to Explanation of Answer b) Melbourne: 68% capacity Refer to Explanation of Answer c) Sydney: 70% capacity Refer to Explanation of Answer d) Adelaide: 2/3 capacity Correct Answer None Question 229.Mikael and Astrid had just visited Karijini National Park in the Pilbara. They were staying in Newman and were on their way back to Perth.They estimated that the distance to Perth was about 1,200 kilometres. They wanted to drive an average of 400 km a day. At the end of their first day driving they reached Meekatharra.Image from: http://ontheworldmap.com/australia/state/western-australia/road-map-of-western-australia-with-cities-and-towns.htmlWhich town did they reach at the end of their second day of driving?Explanation of answer:Step 1: In answering this question we are looking for an estimated answer, but the distances travelled have to be roughly the same for each day and they are travelling in the direction of Perth as their final destination. We should look through the answers to see which one is probable.Step 2: a) Leonora – Leonora is not in the general direction of Perth so we can discount that answer.Step 3: b) Gascoyne Junction – again is not the general direction of Perth, so we can discount that as an answer.Step 4: c) Northampton – could be considered the answer, however, it deviates away from the general direction of Perth in the last part of the drive and might be considered a bit further than the 400 km drive each day.Step 5: d) Paynes Find – Is the most correct answer as it is in the general direction of Perth and is about the 400 km away from Meekatharra.Step 6: The correct answer is – d) Paynes Find a) Leonora Refer to Explanation of Answer b) Gascoyne Junction Refer to Explanation of Answer c) Northampton Refer to Explanation of Answer d) Paynes Find Correct Answer None Question 230.Recently a young skateboarder named Gui Khury in California was the first person to be able to perform a 1080-degree trick on a halfpipe — a trick in which the skater spins three full times in the air, 1,080 degrees. Before this accomplishment, the best skateboarding trick anyone has ever done was a 900-degree trick by Tony Hawk.When Tony Hawk performed his 900-degree trick, how many turns did he go through?Explanation of answer:Step 1: The key to answering this question can be found in the question. A 1080-degree trick is three full turns/spins in the air. 1 full turn or spin is 360 degrees. If we divide 1080 by 360, we will get 3 full turns. Alternatively, if we multiply 360 degrees by 3 turns, we will get 1080 degrees.Step 2: The question asks us how many turns Tony Hawk went through for a 900-degree trick. We know that 3 turns give us 1080 degrees and 2 turns would be 2 x 360 = 720 degrees.Step 3: A 900-degree turn must be between those two values. If we halve 360 degrees, we will get 180 degrees (360 ÷ 2 = 180 degrees), which means a half turn. If we add 180 degrees (½ turn) to the 720 degrees (2 turns) we get a 900-degree turn.Step 4: This means that a 900-degree trick would be 2 ½ turns or 2.5 turnsStep 5: The correct answer is – b) 2.5 turns a) 3 turns Refer to Explanation of Answer b) 2.5 turns Correct Answer c) 2 turns Refer to Explanation of Answer d) 1.5 turns Refer to Explanation of Answer None You’ve already answered some of the questions! Would you like to continue with quiz or restart it from beginning? Time's up
Numeracy (Questions 211 – 220) Show session ID Load QuizSave Quiz Welcome to the OLNA Support Numeracy Skill Builder Each question will be multiple choice There will be 4 answers to select from If you can’t figure out the answer, you should use the “Explanation of the Answer” as a guide to work out the correct response There maybe alternate ways to find these answers - this is only our suggested way. If you know another way to figure out the answer, follow that method! Click next to begin! Question 211.Kiara was giving her house a spring clean and she decided to hire an upholstery (furniture) cleaner. These were the equipment-hire company’s rates and prices.Kiara hired the standard machine for 3 days. She also hired the upholstery wand tool, organised home delivery, and bought 4 large bottles of cleaning fluid.She also had to pay the deposit when hiring the upholstery machine.What was Kiara’s total cost including the deposit?Explanation of answer:Step 1: The sentence underneath the table tells us what items Kiara paid for. The first point says she hired the standard machine for 3 days. The table shows the hire rate in hours. We must convert the hours to days. There are 24 hours in a day so 48 hours = 2 days and 72 hours = 3 days. So, Kiara hired the standard machine for 3 days (72 hours) for a cost of $45.Step 2: Next Kiara hired the upholstery wand tool, which is \$5 in the table. The next item was home delivery, which was \$25, and the last item was 4 large bottles of cleaning fluid. One large bottle costs \$20, so 4 large bottles cost \$80 (4 x \$20 = \$80).Step 3: Lastly the deposit cost Kiara $100. Even though she got this back on returning the undamaged machine, it states in the question that we must include the cost of the deposit in the total cost.Step 4: We need to add up all the costs \$45 (machine) + \$5 (wand tool) + \$25 (home delivery) + \$80 (cleaning fluid) + \$100 (deposit). \$45 + \$5 + \$25 + \$80 + \$100 = \$255.Step 5: The correct answer is – d) $255 a) $200 Refer to Explanation of Answer b) $225 Refer to Explanation of Answer c) $245 Refer to Explanation of Answer d) $255 Correct Answer None Question 212. Eli was living and working in Auckland, New Zealand. He had family all over the globe; from Perth to Johannesburg to New York. One evening Eli wanted to call his cousin in New York. It was 8:15 pm in Auckland. He didn’t call, as he realised, that the time in New York was 2:15 am. Eli called his cousin the next day at 11 am Auckland time. What was the time in New York when he called his cousin? Explanation of answer: Step 1: The first thing we need to look at when answering this question is the time difference between Auckland and New York. Looking at the map above we can see that New York is 18 hours behind Auckland. We need to know this information when calculating the time difference between the two cities. Step 2: If Eli called at 11am, we need to work backwards in time (as New York is behind Auckland). That time difference is 18 hours. Step 3: So, 11am subtract 11 hours = 12 am (midnight) then we subtract 7 hours (as 11 hours + 7 hours = 18 hours) from 12 am to give us 5 pm. The time in New York when Eli called was 5 pm. Step 4: The correct answer is – b) 5 pm a) 5 am Refer to Explanation of Answer b) 5 pm Correct Answer c) 7 am Refer to Explanation of Answer d) 7 pm Refer to Explanation of Answer None Question 213. Susan put a new cooktop in her kitchen and needed to place a splashback (glass protective shield) behind the cooktop to protect the wall.She had ordered a 70 cm by 80 cm rectangular splashback.The cost of the glass was quoted in dollars per square metre ($/m2). Susan had to convert her measurement to find out the cost of the splashback.What is the area of Susan’s splashback?Explanation of answer:Step 1: To find out the size of the splashback in m2 we need to convert the values in cm into metres. We have 70 cm x 80 cm. If we want to convert these values into metres, we need to divide them by 100 (100 cm in a metre).Step 2: 70 cm ÷ 100 = 0.7 m. 80 cm ÷ 100 = 0.8 m. We now have the equation as 0.7 x 0.8. To find our answer, we need to multiply the 0.7 by the 0.8. The easiest way to do this is to say:Step 3: The area of the splashback was 0.56 m2Step 4: The correct answer is – c) 0.56 m2 a) 56 m2 Refer to Explanation of Answer b) 5.6 m2 Refer to Explanation of Answer c) 0.56 m2 Correct Answer d) 560 m2 Refer to Explanation of Answer None Question 214.Regina has a part time job at a newsagency. Her pay rate depends on the day and time she works. Her pay is shown in the table below:Last week, Regina worked from 3 pm to 9 pm on Thursday and 9 am to 1 pm on Sunday.What was Regina’s total pay for last week?Explanation of answer:Step 1: When Regina worked on Thursday, she worked 3 hours before 6 pm and 3 hours after 6pm. This means there are 2 rates of pay. The 3 hours before 6 pm was at \$12 per hour. 3 x 12 = \$36. The 3 hours after 6 pm was at \$14 hour. 3 x \$14 = \$42 (3×10=30 + 3×4=12, 30+12=42)Step 2: Regina worked 4 hours on Sunday. Her rate was \$17 an hour. 4 x 17 = \$68 (4×10=40 + 4×7=28, 40+28=68)Step 3: Add all the amounts together. \$36 + \$42 + \$68 = \$146 (68 + 42 = 110, then 110 + 36 = 146). Regina was paid \$146 for the time she worked.Step 4: The correct answer is – a) $146 a) $146 Correct Answer b) $134 Refer to Explanation of Answer c) $128 Refer to Explanation of Answer d) $112 Refer to Explanation of Answer None Question 215.Brad was building a new house. In the bedrooms he was installing Jarrah wood flooring.It costs $120 per square metre.Looking at the floor plan for Bedroom 4 below, how much should it cost to install the Jarrah wood flooring?Explanation of answer:Step 1: The first step in solving this problem is to find out the area of the bedroom. Floorplans in Australia are measured in metres. The numbers in the above diagram are in metres. We can find the square metres by multiplying 3.1 x 4. 3 x 4 = 12, and 0.1 x 4 = 0.4. 12 + 0.4 = 12.4 m2Step 2: Now that we have found the area of the bedroom, we need to multiply that by the cost of the wood flooring which is $120 per square metre. We need to multiply 12.4 by 120. This could be a difficult calculation, but if we split the values apart, we can make the calculation easier.Step 3: We can split the 12.4 into 2 parts: 12 and 0.4. We can then multiply them by 120. 12 x 120 = 1,440 (12×12=144 then add the 0 at the end). 0.4 x 120 = 0.4 x 12 x 10 = 4 x 12 = 48 (alternatively 0.1 x 120 = 12, 0.2 x 120 = 24, 0.3 x 120 = 36, 0.4 x 120 = 48). We then add 1,440 + 48 = 1,488.Step 4: The total cost of installing the Jarrah wood flooring is $1,488Step 5: The correct answer is – b) $1,488 a) $1,500 Refer to Explanation of Answer b) $1,488 Correct Answer c) $1,432 Refer to Explanation of Answer d) $1,376 Refer to Explanation of Answer None Question 216.Fletcher is painting the exterior walls of his house.The paint comes in small (1 L), medium (4 L) and large (10 L) tins.A hardware warehouse is offering a “buy 2 medium tins and get 1 small tin free” special deal.Fletcher needs a minimum of 9 litres of paint.Which of the following will give him the lowest cost?Explanation of answer:Step 1: The best way to find the answer will be find the cost of each option.Step 2: a) One large tin (10 L) costs $219.Step 3: b) 1 Special deal: 2 medium tins (\$96.60 x 2 = \$193.20) plus a free small tin = \$193.20 (If you round the price to \$100 and subtract \$3.40 you would get \$96.60. To find the value of 2 medium tins round the total to \$200 and then subtract \$6.80 to get the actual cost)Step 4: c) 3 medium tins (\$96.60 x 3 =\$289.80) = \$289.80Step 5: d) 2 small tins (\$51.40 x 2 = \$102.80) 2 medium tins (\$96.6 x 2 = \$193.2) = \$102.80 + \$193.20 = \$296Step 6: The correct answer is – b) 1 special deal a) One large tin Refer to Explanation of Answer b) 1 Special deal Correct Answer c) 3 Medium tins Refer to Explanation of Answer d) 2 small tins and 2 medium tins Refer to Explanation of Answer None Question 217. After painting the outside of his house Fletcher decides to paint the inside of his house. The paint he is looking at comes in 4 litre tins. 1 litre of paint covers approximately 10 m2. The wall area of the house is 420 m2, but Fletcher only needs to paint 310 m2. How many tins of paint should Fletcher buy? Explanation of answer: Step 1: The first thing we must look at is that a 1 litre tin covers approximately 10 m2. This means a 4 litre tin would cover an area of 40 m2 (4 x 10 m2 = 40 m2) Step 2: We know that Fletcher needs to paint 310 m2 of his house walls. We need to divide 310 by 40 to get our answer. The number 40 wouldn’t fit easily into 310, so we can multiply the amount of tins by 40 m2 to give us an estimate of area coverage. 8 tins x 40 = 320 and 7 tins x 40 = 280. We can see by this calculation that 8 tins of paint would give us 320 m2 Step 3: This means that if Fletcher bought 8 tins of paint, he would be able to cover the 310 m2 of walls he needs to paint. Step 4: The correct answer is – b) 8 Alternative explanation of answer: Step 1: The first thing we must look at is that a 1 litre tin covers approximately 10 m2, so if Fletcher wants to paint 310m2, then he will need 310 ÷ 10 = 31 litres of paint. Step 2: The paint only comes in 4 litre tins, so Fletcher won’t be able to buy exactly 31 litres because 31 is not exactly divisible by 4. This means he will need to buy more than 31 litres. Step 3: Fletcher can buy 32 litres of paint because 32 ÷ 4 = 8. So in this case he would buy 8 tins. Step 4: The correct answer is – b) 8 a) 9 Refer to Explanation of Answer b) 8 Correct Answer c) 7 Refer to Explanation of Answer d) 6 Refer to Explanation of Answer None Question 218.Maia is looking to rent an apartment in Adelaide.She was researching the cost of a one-bedroom apartment and found five that she liked.The cost of rent for the week for the five apartments were:What is the median rental price of these 5 apartments?Explanation of answer:Step 1: In statistical analysis the median is known as the “middle” number in a numerically ordered data set. What we need to do, is place these values in ascending order to find our “middle” number.Step 2: \$310, \$310, \$320, \$350, \$380Step 3: In this above data set, we can see that $320 is the “middle” number. This is the median rental price of the five properties.Step 4: The correct answer is – b) $320 a) $310 Refer to Explanation of Answer b) $320 Correct Answer c) $350 Refer to Explanation of Answer d) $380 Refer to Explanation of Answer None Question 219.Armani made a batch of home-made jam to sell at her local markets. She used a round cylindrical jar to sell the jam in.The dimensions of the jar were:Diameter = 5 cmHeight = 7 cmWhich expression would give Armani the closest amount of Jam she needs to fill the Jar?Explanation of answer:Step 1: To find the volume of a cylinder we must know what the formula represents. The formula is V = π x r2 x h or Volume = Pi x radius squared x height.Step 2: As we are just trying to find the expression for the volume of the jar, we must make sure we are substituting the correct values into the formula.Step 3: We are given the values of the diameter (5 cm) and the height (7 cm). We need to find the value for the radius to work with this formula. To find the radius of the jar, we simply halve the value of the diameter. This is 2.5 cm.Step 4: We can now substitute these values into the formula: V = π x 2.52 x 7. This is our correct expression.Step 5: The correct answer is – c) (π x 2.52 x 7) cm3 a) (π x 52 x 7) cm3 Refer to Explanation of Answer b) (π x 72 x 5) cm3 Refer to Explanation of Answer c) (π x 2.52 x 7) cm3 Correct Answer d) (π x 102 x 5) cm3 Refer to Explanation of Answer None Question 220. Daniel works as an electrician around Perth. He charges a call out fee of \$50, and \$80 labour per hour worked.He was called out to a house in South Perth and worked there for 4 hours.Which of the following expressions should Daniel use to calculate his charge for working at the house?Explanation of answer:Step 1: To complete this answer you must understand how the order of operations acronym BIMDAS (brackets, indices, multiplication, division, addition and subtraction) works. You don’t actually need to calculate an answer, but you will need to know how BIMDAS works.Step 2: The main concept in this question is identifying where the figures for Daniel’s call out fee and hourly labour rate are located in the expression.Step 3: It is important to recognise that the \$50 call out fee should not be multiplied by anything in the expression. The \$80 hourly labour rate should be multiplied by the number of hours worked as this will give the total labour charge.Step 4: Answer a) does not have the $50 in its expression so can’t be considered.Step 5: Answer b) the values are in incorrect order (the expression says that the call out fee is \$80 and Daniel charges a \$50 per hour labour rate).Step 6: This is where your knowledge of BIMDAS is important. In Answer c) the two values are placed in brackets. This means you would add them together to give you a total ($130) and then multiply that by the number of hours worked. This answer is incorrect.Step 7: The last expression d) has the call out fee first (\$50), then added to that is the hourly labour cost (\$80) multiplied by the number of hours Daniel worked. In the rules of BIMDAS we multiply the \$80 by the hours worked, then add the call out fee (\$50) to get our answer. This means that expression d) is the correct answer.Step 8: The correct answer is – d) Amount in $ = 50 + 80 x hours worked a) Amount in $ = 80 x hours worked Refer to Explanation of Answer b) Amount in $ = 80 + 50 x hours worked Refer to Explanation of Answer c) Amount in $ = (50 + 80) x hours worked Refer to Explanation of Answer d) Amount in $ = 50 + 80 x hours worked Correct Answer None You’ve already answered some of the questions! Would you like to continue with quiz or restart it from beginning? Time's up
