Numeracy (Questions 161-170) 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 161. This bathroom scale shows Jeremy’s weight in kilograms. Which of these values is the closest to the weight shown on the scales? Explanation of answer: Explanation of Answer: Step 1: Phrased slightly differently, the question is simply asking you to round the value shown on the scale to the nearest whole number. Step 2: In this case you will need to round 68.7 to the nearest whole number so that it no longer has any decimals. Step 3: The number after the decimal point is 7, and since this is closer to 10 than it is to zero, we must round up. Step 4: To round up to the nearest whole number we must add 1 to the number in front of the decimal point, which in this case is 68. Step 5: So 68 + 1 = 69 Step 6: The correct answer is – c) 69 kg. a) 60 kg Refer to Explanation of Answer b) 65 kg Refer to Explanation of Answer c) 69 kg Correct Answer d) 70 kg Refer to Explanation of Answer None Question 162.Josh’s results in a javelin throwing contest are shown below.Ordered from the shortest throw at the top of the list to the longest throw at the bottom, what is the correct order of his throws?Explanation of answer:Step 1: This question asks you order the throws into ascending order. This means ordering them from the smallest number to the largest number.Step 2: One approach is to look for the smallest whole numbers first then order according to the decimal numbers after the whole number.Step 3: This means 35.16 m and 35.86 m are the smallest numbers. As the whole number (35) is the same we need to look at the decimals for the order, so .16 is smaller than .86.Step 4: This means that 35.16 m is smaller than 35.86 m.Step 5: The next two numbers are 36.42 m and 36.05 m. As the whole number (36) is the same we need to order the .42 and .05. The .05 is smaller so this means 36.05 m is smaller than 36.4 m.Step 6: This helps us form the ascending order of the throws. They are: 35.16 m, 35.86 m, 36.05 m and 36.42 m. This means answer d is in the correct ascending order.Step 7: The correct answer is – D A Refer to Explanation of Answer B Refer to Explanation of Answer C Refer to Explanation of Answer D Correct Answer None Question 163.A research agency was researching how many properties were sold in an inner city suburb. This is what they found:Approximately, what fraction of the total property sales is the number of Townhouses sold?Explanation of answer:Step 1: To find the answer for this question you must look at the correct type of properties asked in the question. You need to look for the values for Townhouses and total properties.Step 2: The number of Townhouses is 2,135. The total number of properties is 6,068. As the number of Townhouses is a proportion of the total number of properties, we can represent that proportion as a fraction.Step 3: To do this, form the fraction as 2,135/6,068. This is not a simplified fraction and we need to simplify it to get the answer. As we are looking for an approximate answer we can work with approximate numbers.Step 4: Lets round the two numbers to 2,000/6,000. The fraction is then easily simplified by dividing the top and bottom by 1,000. Dividing 2,000 by 1,000 = 2. Dividing 6,000 by 1,000 = 6. This means our fraction is now 2/6, which can be simplified again by dividing both the numerator and denominator by 2 to give us the simplified fraction of 1/3. This tells us that the approximate fraction of properties sold that were townhouses is 1/3.Step 5: The correct answer is – a) 1/3. a) 1/3 Correct Answer b) 2/4 Refer to Explanation of Answer c) 2/3 Refer to Explanation of Answer d) 1/5 Refer to Explanation of Answer None Question 164. Mike is going on an overnight hike. He weighs himself with his backpack. Mike then weighs himself without his backpack. How much does Mike’s backpack weigh? Explanation of answer: Step 1: This question essentially asks us what the difference is between the two weights. Step 2: To answer the question we need to subtract the smaller number from the larger number. We are fortunate that the decimals in both numbers are the same. This means that we do not have to use this number in the subtraction. Step 3: Now we need to subtract (or find the difference between the two numbers) 84 from 103. If our numbers were 84 and 104 the difference would be 20, but as our numbers are 84 and 103, that difference is one less than 20, so it is 19. Step 4: The question asks, what is the weight of his backpack. We know that the backpack weighs 19 kg. Step 5: The correct answer is – b) 19 kg. a) 18.5 kg Refer to Explanation of Answer b) 19 kg Correct Answer c) 19.5 kg Refer to Explanation of Answer d) 20 kg Refer to Explanation of Answer None Question 165. Wayne works in a part time job. He is paid $32 per hour.His is getting a 5% pay rise.How much more will Wayne be paid per hour?Explanation of answer:Step 1: To find out how much extra Wayne is being paid per hour, we must be able to manipulate percentages to find that answer. Step 2: The starting point is to find 10% of \$32. To find this, we move the decimal place one place to the left (This is 10% of \$32). This gives us \$3.20.Step 3: Now to find 5% we simply halve \$3.20 (as 5% is half of 10%). Half of \$3.20 is \$1.60.Step 4: Wayne will be paid as extra $1.60 per hour.Step 5: The correct answer is – b) $1.60 a) $1.06 Refer to Explanation of Answer b) $1.60 Correct Answer c) $3.20 Refer to Explanation of Answer d) $3.60 Refer to Explanation of Answer None Question 166. Tiffany and Caroline both work as a women’s boot makers. Tiffany makes one pair of boots every 15 minutes. Caroline’s rate is 5 pairs of boots per hour. Altogether, how many boots would they make in 4 hours? Explanation of answer: Step 1: To find the answer for this question we must figure out each individual’s rate of boot production, then add them together to get the final answer. Step 2: Firstly, we need to find out Tiffany’s production. She makes one pair of boots every 15 minutes. This means she makes 4 pairs of boots per hour (4 x 15 mins = 60 mins = 1 hour). She works for 4 hours so we multiply the 4 pairs of boots by 4 = 16 pairs of boots. Step 3: Secondly, we need to find out Caroline’s production. She makes 5 pairs of boots every hour. She works for 4 hours so we multiply the 5 pairs of boots by 4 = 20 pairs of boots. Step 4: Now we need to add both totals to find how many pairs of boots they have both made in 4 hours. 16 pairs of boots + 20 pairs of boots = 36 pairs of boots. Step 5: The correct answer is – c) 36 pairs of boots a) 6 pairs of boots Refer to Explanation of Answer b) 20 pairs of boots Refer to Explanation of Answer c) 36 pairs of boots Correct Answer d) 42 pairs of boots Refer to Explanation of Answer None Question 167. Tony bought some shade cloth for his backyard, but it needs to be cut to size. To fit the area he needs, he cuts a length exactly 1 metre and 9 centimetres. What is this length in millimetres? Explanation of answer: Step 1: This question asks us to convert from metres and centimetres to millimetres. This means we need to know how to convert from one to the other. Step 2: There are 10 millimetres in 1 centimetre. There are 1,000 millimetres in 100 centimetres, which is 1 metre in length. Step 3: 1 metre = 1,000 millimetres Step 4: 9 centimetres = 90 millimetres. Step 5: Add the 1,000 and 90 together = 1,090 millimetres. Step 6: The correct answer is – b) 1,090 millimetres. a) 1,900 mm Refer to Explanation of Answer b) 1,090 mm Correct Answer c) 1,009 mm Refer to Explanation of Answer d) 190 mm Refer to Explanation of Answer e) 109 mm Refer to Explanation of Answer None Question 168. Claudia runs every second night to work on her fitness. Her average time for her run is 1 hour and 20 minutes. Her average speed is 7 km per hour. Which expression gives the distance, in kilometres, of Claudia’s average run? Explanation of answer: Step 1: In this question we are looking at a final distance but using speed and time to find our answer as an expression. Step 2: The question states that Claudia runs for 1 hour and 20 mins at a pace of 7 km per hour. In the expressions shown, the 7 on the left hand side represents the distance covered in her first hour of running (7km). The extra 20 minutes she runs must be represented as a decimal. As 20 minutes is a one third of an hour, this is represented as a decimal as 0.33. Step 3: So if we multiply 0.33 by 7 we will find the distance Claudia runs in 20 minutes. The final expression should be written as: 7 + 0.33 x 7 Step 4: The correct answer is – d) 7 + 0.33 x 7 a) 7 + 0.20 Refer to Explanation of Answer b) 7 + 0.33 Refer to Explanation of Answer c) 7 + 0.20 x 7 Refer to Explanation of Answer d) 7 + 0.33 x 7 Correct Answer None Question 169. Sam bought a 20 kg bag of chicken feed. He has used 3.5 kg and now has 16.5 kg left. If he takes out 700 grams, how much is left in the bag? Explanation of answer: Step 1: For this question, it is important to recognise we are working with the 16.5 kg value not the 20 kg value. The 20 kg value is just there as a piece of information, but not required in the calculation. Step 2: We need to have an understanding of how many grams are in a kilogram to answer this question. There are 1,000 grams in 1 kilogram. This will help us in our calculations. Step 3: If we convert the 16.5 kilograms into grams we will have 16,500 grams. Next, we subtract 700 from 16,500. So 16,500 – 700 = 15,800 grams. We then convert back to kilograms. 15,800 ÷ 1,000 = 15.8 kilograms. ALTERNATE STEP 3: We can convert 700 grams into kilograms = 0.7 kg. We can then subtract the 0.7 kg from the 16.5 kg to get the answer. So, 16.5 kg subtract 0.7 kg = 15.8 kg Step 4: From both methods above, we can see that there is 15.8 kg chicken feed left in the bag. Step 5: The correct answer is – d) 15.8 kg a) 0.7 kg Refer to Explanation of Answer b) 7.7 kg Refer to Explanation of Answer c) 13.6 kg Refer to Explanation of Answer d) 15.8 kg Correct Answer None Question 170. Bruce had his backyard fence fall down during a storm. Temporary fencing is required while he organises to get a replacement fence. He needs 10 fencing panels to cover the fallen fence. The length of each fence panel is 2400 millimetres. There is a 5 centimetre gap between each of the panels when joined together. What will be the total length of the fencing once it has been assembled? Explanation of answer: Step 1: This question requires us to convert from millimetres and centimetres to metres. We also need to work with 2 different types of length then convert them both to metres. Step 2: The fencing panels are 2,400 millimetres in length and Bruce needs 10. To make this easier we should convert 2,400 millimetres to metres. 1,000 millimetres = 1 metre. So 2,400 millimetres = 2.4 metres. 10 panels multiplied by 2.4 metres each = 24 metres. Step 3: The gap between each panel is 5 centimetres. If we line up all 10 panels there would be 9 gaps in the line of panels. We need to multiply 5 centimetres by 9 gaps = 45 centimetres. 45 centimetres is the same as 0.45 metres. Step 4: Now let’s add the two totals together to get the total length of the fencing. 24 metres + 0.45 metres = 24.45 metres. Step 5: The correct answer is – c) 24.45 metres a) 244.5 metres Refer to Explanation of Answer b) 240.4 metres Refer to Explanation of Answer c) 24.45 metres Correct Answer d) 24.04 metres Refer to Explanation of Answer None Time's up Submit a CommentYour email address will not be published. Required fields are marked *Comment * Name Email Website Δ
