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 Question 1. Fred used this tray to make muffins. If he filled the tray 3 times, how many muffins would Fred make? Explanation of Answer: Step 1: Look at the baking tray and count the amount of muffin holes. Step 2: The answer is 12 muffin holes. Step 3: The question asks if Fred fills the tray 3 times, how many muffins would he make. Step 4: This means you need to multiply 12 times 3 to get the total number of muffins. Step 5: The correct answer is – c) 36 muffins. a) 42 Refer to Explanation of Answer b) 28 Refer to Explanation of Answer
