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 Time's up
