Numeracy (Questions 81-90) 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 81.Four university students are renting a house. They all share an equal part of the rent.They each pay $120 per week.Two more students will move into the house and the rent will be shared equally between all six people.By how much does the weekly rent per student decrease?Explanation of answer:Step 1: First we need to find out the total amount of rent that is being paid by the students. This would be 4 students times \$120 each. 4 x \$120 = \$480.Step 2: If there are now 6 students renting the house, we would divide \$480 by 6 students to figure out how much each would pay. \$480 ÷ 6 = \$80 (6 times tables = 6 x 8 = 48).Step 3: Now we have to figure out the difference between the totals. \$120 – \$80 = \$40.Step 4: The rent decreases by $40 per student.Step 5: The correct answer is – a) $40 a) $40 Correct Answer b) $45 Refer to Explanation of Answer c) $50 Refer to Explanation of Answer d) $60 Refer to Explanation of Answer None Question 82. Georgie completed a training run in 30 minutes. She ran at a steady speed of 8 km/h. The distance of the run is equal to: Explanation of answer: Step 1: 30 minutes is exactly half of 60 minutes, and is therefore half an hour. Step 2: If she was running at a steady pace of 8 km/h and ran for half an hour, then she would only have had enough time to run half of 8 kilometres. Therefore, she ran 4 kilometres. Step 3: The correct answer is – b) 4 km a) 3.5 km Refer to Explanation of Answer b) 4 km Correct Answer c) 4.5 km Refer to Explanation of Answer d) 5 km Refer to Explanation of Answer None Question 83. A home security system takes an image every 10 seconds. Each image is deleted 20 hours after it was taken. What is the largest number of images that can be stored in the camera? Explanation of answer: Step 1: Use the first piece of information that is given to us. We have an image every 10 seconds. This means there are 6 images every minute. There would be 12 images in 2 minutes, 30 images in 5 minutes, 60 images in 10 minutes and 360 images in 1 hour: (6 x 60 = 6 x 6 x 10 = 36 x 10 = 360). Step 2: If there are 360 images in 1 hour there would be 3,600 in 10 hours (360 x 10 = 3,600). If 10 hours gives us 3,600 images then we should multiply 3,600 by 2 to give us 20 hours worth of images (10 x 2 = 20 hours and 3,600 x 2 = 7,200 images). Step 3: This means over 20 hours the camera has taken 7,200 images. Step 4: The correct answer is – c) 7,200 images. a) 6,000 images Refer to Explanation of Answer b) 6,900 images Refer to Explanation of Answer c) 7,200 images Correct Answer d) 7,600 images Refer to Explanation of Answer None Question 84.Julia works 38 hours a week as a secretary and earns \$22 per hour.Every fortnight, \$340 of tax is taken from her pay.How much pay does Julia take home each fortnight?Explanation of answer:Step 1: First we must figure out what Julia’s total pay would be for one week. This requires us to multiply 38 by 22. To do this, multiply 38 by 10 to give \$380. Then multiply 380 by 2 (same as 38 x 20) = \$760. Then we must multiply 38 by 2 (we left 2 off the 22 at the start). 38 x 2 = \$76. Then add \$760 and \$76 = \$836.Step 2: Julia’s pay for one week is \$836, to figure out how much she gets paid for a fortnight we must multiply that by 2 (2 weeks in a fortnight). \$836 x 2 = \$1,672 (800 x 2 = 1,600, 30 x 2 = 60, 6 x 2 = 12, then 800 + 60 + 12 = 1,672). Julia earns \$1,672 per fortnight.Step 3: She is taxed \$340 per fortnight, we must subtract this from \$1,672. Let’s subtract \$300 from \$1,672. \$1,672 – \$300 = \$1,372. Now take \$40 from \$1,372. \$1,372 – \$40 = \$1,332. Julia takes home \$1,332 per fortnight after tax.Step 4: The correct answer is – b) $1,332. a) $1,287 Refer to Explanation of Answer b) $1,332 Correct Answer c) $1,372 Refer to Explanation of Answer d) $1,408 Refer to Explanation of Answer None Question 85.A 10 kilometre section of highway is to be resurfaced.The highway is straight and is 6.3 metres wide.How many square metres of the road need to be resurfaced? Explanation of answer:Step 1: To find the answer in metres squared we must convert the 10 km to metres. As there is 1000 metres in a kilometre, there must be 10,000 metres in 10 km.Step 2: Next we must multiply 6.3 metres by 10,000 metres (10 km) to get the total square metres. 6.3 x 10,000 = 63,000 m2Step 3: There needs to be 63,000 m2 of road resurfaced.Step 4: The correct answer is – c) 63,000 m2 Please select your answer a) 13,000 m2 b) 47,000 m2 c) 63,000 m2 d) 87,000 m2 Question 86. To supplement his diet, Campbell takes 500 milligrams of calcium every day. So far, he has taken a total of 25 grams. Approximately for how long has Campbell been taking calcium? Explanation of answer: Step 1: First we must know how many milligrams in a gram to work this problem out. There are 1,000 milligrams in 1 gram. This means that 500 milligrams are ½ (0.5) a gram. Step 2: This means that Campbell needs to take 2 tablets to take 1 gram of calcium. This also means that if he takes 500 milligrams per day it takes 2 days to take 1 gram of calcium. Step 3: So if he has taken a total of 25 grams, we double it to find out how many days he has been taking calcium. 25 x 2 = 50 days. Campbell has been taking calcium for 50 days. Step 4: The correct answer is – d) 50 days. a) 25 days Refer to Explanation of Answer b) 35 days Refer to Explanation of Answer c) 43 days Refer to Explanation of Answer d) 50 days Correct Answer None Question 87.You can buy soft drink from a shop in different ways. One 2 litre bottle will cost you $3.00 Two smaller 1.25 litre bottles for a total for $5 A box of twenty 350 millilitre cans for $16 When comparing the cost per litre, what is the correct order from the lowest to highest cost per litre?Explanation of answer:Step 1: To figure out the cost per litre we must divide the cost by the amount of litres. For the 2 litre bottle we divide \$3 by 2 litres = \$1.50 per litre. Step 2: For the 2 smaller 1.25 litre bottles, we divide \$5 by 2.5 litres (2 x 1.25L) = \$2 per litre.Step 3: For the cans we must figure out how many litres we have if we have 20 cans, but let’s start by multiplying by 10 cans. 350 x 10 = 3,500 millilitres or 3.5 litres, now times that by 2 to get 20 cans. 3.5 litres x 2 = 7 litres. Now we divide \$16 by 7 litres = approximately \$2.3 per litre (\$14 ÷ 7 = \$2, \$2 ÷ 7 = approx \$0.3, \$2 + \$0.3 = \$2.30).Step 4: This means that the correct order from lowest cost to highest cost per litre is: One 2 litre bottle, two smaller bottles and a box of cans.Step 5: The correct answer is – c) One 2 litre bottle, two smaller bottles and a box of cans. a) Two smaller bottles, one 2 litre bottle, a box of cans. Refer to Explanation of Answer b) A box of cans, one 2 litre bottle, two smaller bottles. Refer to Explanation of Answer c) One 2 litre bottle, two smaller bottles, a box of cans. Correct Answer d) Two smaller bottles, a box of cans, one 2 litre bottle. Refer to Explanation of Answer None Question 88. Gavin uses a diagram, with a scale of 1:10, to calculate the area of his bathroom. If the diagram is 20 cm long and 15 cm wide, what is the area of Gavin’s actual bathroom? Explanation of answer: Step 1: The scale in this question means that if you have 1 cm on the diagram it equals 10 cms in real life. So in this instance, the length of the diagram is 20 cms long. We need to multiply that by 10 to find out the real length of the bathroom. 20 x 10 = 200 cms. 200 cms is the same as 2 metres. Step 2: The width of diagram is 15 cm wide. We need to multiply that by 10 to find out the real width of the bathroom. 15 x 10 = 150 cms. 150 cms is the same as 1.5 metres. Step 3: We multiply the 2 metres by 1.5 metres to get the area. 2 m x 1.5 m = 3 m2. The bathroom is 3 m2 in real life. Step 4: The correct answer is – d) 3 m2. a) 20 m2 Refer to Explanation of Answer b) 12.5 m2 Refer to Explanation of Answer c) 6 m2 Refer to Explanation of Answer d) 3 m2 Correct Answer None Question 89. A standard paperclip weighs 1 gram. I collected one hundred thousand paperclips.I wanted to estimate the mass of the collection in grams.Which statement does not reflect this estimation?Explanation of answer:Step 1: The question asks you to estimate the mass of the collection of paperclips in grams. If 1 paperclip weighs 1 gram then 100,000 paperclips will weigh 100,000 grams. So we are looking for the statement that does not have an answer of 100,000.Step 2: statement a) 50 x 2,000 = 100,000. A correct answer.Step 3: statement b) 100,000 ÷ 1000 = 100. Not a correct answer.Step 4: statement c) 100 x 1,000 = 100,000. A correct answer.Step 5: statement d) 10 x 10,000 = 100,000. A correct answer.Step 6: The correct answer is – b) Counting the number of paperclips in 1 kilogram, then dividing 100,000 by this number. a) Finding the mass of 50 paperclips, then multiplying by 2,000 Refer to Explanation of Answer b) Counting the number of paperclips in 1 kilogram, then dividing 100,000 by this number. Correct Answer c) Finding the mass of 100 paperclips, then multiplying by 1,000. Refer to Explanation of Answer d) Finding the mass of 10 paperclips, then multiplying by 10,000. Refer to Explanation of Answer None Question 90.Noah wants to save for a new motorbike.He spends 75% of his wage and is left with \$300 to save per week for the motorbike.What is Noah’s wage per week? Explanation of answer:Step 1: If Noah spends 75% and is left with \$300, this means that the \$300 makes up 25% of his wage. This represents ¼ of his wage. The 75% represents ¾ of his wage.Step 2: If \$300 represents ¼ of his wage then we can multiply \$300 by 4 to get his total wage (4 quarters make a whole). 4 x \$300 = \$1,200.Step 3: Noah’s wage per week is $1,200.Step 4: The correct answer is – d) $1,200. a) $600 Refer to Explanation of Answer b) $800 Refer to Explanation of Answer c) $1,000 Refer to Explanation of Answer d) $1,200 Correct Answer None Time's up Submit a CommentYour email address will not be published. Required fields are marked *Comment * Name Email Website Δ
