Numeracy (Questions 71-80) 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 71.A group of 30 AFL supporters are organising a catch up to watch an AFL match.Sixteen are Richmond supporters. The remaining people are Western Bulldogs supporters.One person is allocated to organise the catch up.What is the probability that a Richmond supporter will be allocated to organise the catch up?Explanation of answer:Step 1: To answer this question we must first figure out how many Richmond supporters there are in relation to the group. There are 16 Richmond supporters out of the 30 group members. This means there are 16⁄30 Richmond supporters.Step 2: The next part of the question asks us what is the probability that a Richmond supporter will be picked from the group. As we know there are 16⁄30 Richmond supporters in the group. The probability would be 16⁄30.Step 3: Be careful when picking the answer, as there is another correct answer in the multiple choice answers. 8⁄15 would also be correct as 8⁄15 is exactly the same as 16⁄30. The reason being is that 8⁄15 is the simplified version of 16⁄30. The numerator and denominator have both been divided by 2 to give the simplified answer of 8⁄15.Step 4: The correct answers are – a) 16⁄30 AND c) 8⁄15 a) 16⁄30 Correct Answer b) 1⁄16 Refer to Explanation of Answer c) 8⁄15 Correct Answer d) 14⁄30 Refer to Explanation of Answer Question 72. The table below shows the height, in metres, of the tides at Derby for five days in December 2016. Low tides are printed in red and high tides are printed in blue. What was the difference between the highest and the lowest tides on Saturday, 3rd of December? Explanation of answer: Step 1: In the table look for the row Saturday 3rd of December. Scan across and look for the red and blue digits. The tide height is under the coloured digits. The arrow pointing up is the high tide and the arrow pointing down is the low tide. Step 2: To find the difference between the high and low tides we must find the largest high tide and smallest low tide. The largest high tide is 9.3 m and the smallest low tide is 0.5m. Step 3: 9.3 m subtract 0.5 m is 8.8 m, the difference between the highest and lowest tide is 8.8 m Step 4: The correct answer is – a) 8.8 m a) 8.8 m Correct Answer b) 7.3 m Refer to Explanation of Answer c) 11.1 m Refer to Explanation of Answer d) 9.8 m Refer to Explanation of Answer None Question 73. The shape of a market garden paddock is a rectangle. It is 1.8 kilometres long and 700 metres wide. There is a fence around the entire paddock What is the length of the fence? Explanation of answer: Step 1: To answer this question you need to figure out the length of the fencing and to understand what a rectangle is. A rectangle has two sides, which in this case are 1.8 km long and two sides which are 700 m long. Step 2: Convert the 700 m to kilometres. 700 m = 0.7 km. This makes is easier to add the totals when they are all in the same unit of length. Step 3: The total length is (1.8 km x 2) + (0.7 km x 2) = (3.6 km + 1.4 km) = 5.0 km. Step 4: The correct answer is – c) 5.0 km a) 3.8 km Refer to Explanation of Answer b) 4.6 km Refer to Explanation of Answer c) 5.0 km Correct Answer d) 5.4 km Refer to Explanation of Answer None Question 74. An oven dial displays the temperature in degrees Celsius. The temperature shown on the dial above is closest to: Explanation of answer: Step 1: As the dial shows a dot to signal the temperature you will need to estimate the approximate temperature. In this case the dot is close to 220°C to about 225°C. Step 2: By looking at the answers provided in the multiple choice section the only answer that is close to our estimation is c) 225°C. Step 3: The correct answer is – c) 225°C a) 200°C Refer to Explanation of Answer b) 210°C Refer to Explanation of Answer c) 225°C Correct Answer d) 240°C Refer to Explanation of Answer None Question 75. A swimming pool has a length of 50 metres. The shallow end has a depth of 1.5 m and the deep end has a maximum depth of 4 m. There is a gradual slope from the shallow end to the deep end. Which diagram shows the correct profile of a side wall of the pool? Explanation of answer: Step 1: Since none of the images a) to d) are to scale or dimensioned, the length and depths stated in the question are irrelevant. The diagram that we are looking for must have three components; a deep end, a shallow end, and a gradual slope between the two. The diagram best suiting this description is answer c). Step 2: The correct answer is – c) a) Refer to Explanation of Answer b) Refer to Explanation of Answer c) Correct Answer d) Refer to Explanation of Answer None Question 76.Scott buys biscuits and savoury rolls for a morning tea.He buys 20 biscuits at \$2 each and 20 savoury rolls at \$3 each.Select all of the expressions that show the amount that Scott should pay in dollars.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) in that order.Step 2: Before we use BIMDAS we must figure out how much it costs Scott to buy both the biscuits and rolls. The biscuits cost \$2 x 20 = \$40. The rolls cost \$3 x 20 = \$60. The total cost would be \$40 + \$60 = \$100.Step 3: Looking at the answers given we would do the multiplication first then addition. Let’s go through each answer.Step 4: a) 2 + 3 x 20: 3 x 20 = 60, then 2 + 60 = $62. Not the correct answer.Step 5: b) 20 x 2 + 3: 20 x 2 = 40, then 40 + 3 = 43 = $43. Not the correct answer.Step 6: c) 20 x 2 + 20 x 3: 20 x 2: = 40, then 20 x 3 = 60 then, 40 + 60 = $100. The correct answer.Step 7: d) 5 x 20: 5 x 20 = 100 = $100. The correct answer.Step 8: The correct answer is – both c) 20 x 2 + 20 x 3 AND d) 5 x 20 a) 2 + 3 x 20 Refer to Explanation of Answer b) 20 x 2 + 3 Refer to Explanation of Answer c) 20 x 2 + 20 x 3 Correct Answer d) 5 x 20 Correct Answer Question 77. Ethan wanted to estimate the length of a block of land. He counted 71 paces. Each pace was about 65 centimetres. The length of the block is closest to: Explanation of answer: Step 1: To answer this question we could simply multiply 71 by 65 to get our answer on a calculator, however, we don’t have one so we need to break down the numbers into parts. Step 2: Let’s break the 71 paces into two parts; 70 and 1. Step 3: Break down the 65 cms into two parts; 60 cms and 5 cms Step 4: We need to break down these numbers so we can work with different units of place value. This will allow us to do this calculation without a calculator. Step 5: Multiply 70 by 60 cms = 4,200 cms (7 x 6 = 42, then add two 0’s on the end to get 4,200 cms) Step 6: Multiply 70 by 5 cms = 350 cms (7 x 5 = 35, then add one 0 on the end to get 350 cms) Step 7: Multiply 65 by 1 = 65 cms Step 8: Add all the totals together; 4,200 + 350 + 65 = 4,615 cms Step 9: The answer we have is in centimetres; however, we need to the answer in metres. To do this we divide 4,615cm by 100 (100 cms in one metre), this gives us 46.15 m Step 10: The answer of 46.15 m is closest to the multiple choice answer of d) 46 m Step 11: The correct answer is – d) 46 m a) 42 m Refer to Explanation of Answer b) 44 m Refer to Explanation of Answer c) 45 m Refer to Explanation of Answer d) 46 m Correct Answer None Question 78. The graph below compares the times of trains that run to Fremantle Station and their arrival schedule. What percentage of the trains were early? Explanation of answer: Step 1: To determine what percentage of the trains were early we should look at some of the other arrival times to see what their percentages would be. Step 2: If we look at the “On time” section of the graph this would constitute about half of the graph which would equal about 50% of the time the train arrives “On time”. If we look at the “Late” section of the graph this would constitute about a quarter of the graph which would equal about 25% of the time the train arrives “Late”. Step 3: When looking at the “Early” section, that section is smaller that the “Late” section, so it must be less than 25% of the time. Step 4: When looking at the multiple choice answers the best answer would have to be c) Between 10% and 25% based on the size of that section in the pie graph. Step 5: The correct answer is – c) Between 10% and 25% a) About 50% Refer to Explanation of Answer b) Between 25% and 33% Refer to Explanation of Answer c) Between 10% and 25% Correct Answer d) Less than 10% Refer to Explanation of Answer None Question 79.A bank pays 1.25% simple interest per year on a term depositIf you deposit \$5,000 into that term deposit for 1 year, how much interest should the bank pay out?Explanation of answer:Step 1: The way to answer this question is to determine what 1% of \$5,000. 10% would be \$500, so 1% would be \$50.Step 2: To find out what 0.25% would be, we need to understand what that represents as a fraction, which is ¼ or one quarter. To find out what ¼ of 1% is, we halve the original number (\$50 ÷ 2 = \$25), then halve that number again (\$25 ÷ 2 = \$12.50). We now have one quarter or 0.25% of 1%, which is \$12.50.Step 3: To find out how much 1.25% of \$5,000 is we add the 1% (\$50) and the 0.25% (\$12.50) together to get (\$50 + \$12.50 = \$62.50) the answer of d) \$62.50Step 4: The correct answer is – d) $62.50 a) $50 Refer to Explanation of Answer b) $55 Refer to Explanation of Answer c) $60 Refer to Explanation of Answer d) $62.50 Correct Answer None Question 80. Rose and her four friends went out for lunch.The total bill for the lunch was \$67.20.Rose was the only one to have a cup of coffee.She paid \$4 for her coffee and the rest of the bill was shared equally.Which expression shows the total amount of money Rose paid for her lunch?Complete correctly:The total amount Rose paid for her lunch 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 and coffee only the expression which would lead us to the final cost.Step 2: To figure out how much it costs Rose for her meal we must break the bill into sections. If the total bill costs \$67.20, we must subtract \$4 from it to determine the portion that is to be shared. This is the first step and is represented by (67.2 – 4).Step 3: The next step requires us to divide the shared portion between the 5 friends. This would be represented by ÷ 5 in the equation.Step 4: The next step would be add the value of the coffee back onto Rose’s amount. This would be represented by + 4 in the equation.Step 5: We add all the components together to give the final equation of: (67.20 – 4) ÷ 5 + 4Step 6: The correct answer is – d) (67.20 – 4) ÷ 5 + 4. Please select your answer a) (67.20 – 4) ÷ 5 b) (67.20 + 4) ÷ 5 c) (67.20 + 4) ÷ 5 - 4 d) (67.20 – 4) ÷ 5 + 4 You’ve already answered some of the questions! 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