Numeracy (Questions 211 – 220) 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 211.Kiara was giving her house a spring clean and she decided to hire an upholstery (furniture) cleaner. These were the equipment-hire company’s rates and prices.Kiara hired the standard machine for 3 days. She also hired the upholstery wand tool, organised home delivery, and bought 4 large bottles of cleaning fluid.She also had to pay the deposit when hiring the upholstery machine.What was Kiara’s total cost including the deposit?Explanation of answer:Step 1: The sentence underneath the table tells us what items Kiara paid for. The first point says she hired the standard machine for 3 days. The table shows the hire rate in hours. We must convert the hours to days. There are 24 hours in a day so 48 hours = 2 days and 72 hours = 3 days. So, Kiara hired the standard machine for 3 days (72 hours) for a cost of $45.Step 2: Next Kiara hired the upholstery wand tool, which is \$5 in the table. The next item was home delivery, which was \$25, and the last item was 4 large bottles of cleaning fluid. One large bottle costs \$20, so 4 large bottles cost \$80 (4 x \$20 = \$80).Step 3: Lastly the deposit cost Kiara $100. Even though she got this back on returning the undamaged machine, it states in the question that we must include the cost of the deposit in the total cost.Step 4: We need to add up all the costs \$45 (machine) + \$5 (wand tool) + \$25 (home delivery) + \$80 (cleaning fluid) + \$100 (deposit). \$45 + \$5 + \$25 + \$80 + \$100 = \$255.Step 5: The correct answer is – d) $255 a) $200 Refer to Explanation of Answer b) $225 Refer to Explanation of Answer c) $245 Refer to Explanation of Answer d) $255 Correct Answer None Question 212. Eli was living and working in Auckland, New Zealand. He had family all over the globe; from Perth to Johannesburg to New York. One evening Eli wanted to call his cousin in New York. It was 8:15 pm in Auckland. He didn’t call, as he realised, that the time in New York was 2:15 am. Eli called his cousin the next day at 11 am Auckland time. What was the time in New York when he called his cousin? Explanation of answer: Step 1: The first thing we need to look at when answering this question is the time difference between Auckland and New York. Looking at the map above we can see that New York is 18 hours behind Auckland. We need to know this information when calculating the time difference between the two cities. Step 2: If Eli called at 11am, we need to work backwards in time (as New York is behind Auckland). That time difference is 18 hours. Step 3: So, 11am subtract 11 hours = 12 am (midnight) then we subtract 7 hours (as 11 hours + 7 hours = 18 hours) from 12 am to give us 5 pm. The time in New York when Eli called was 5 pm. Step 4: The correct answer is – b) 5 pm a) 5 am Refer to Explanation of Answer b) 5 pm Correct Answer c) 7 am Refer to Explanation of Answer d) 7 pm Refer to Explanation of Answer None Question 213. Susan put a new cooktop in her kitchen and needed to place a splashback (glass protective shield) behind the cooktop to protect the wall.She had ordered a 70 cm by 80 cm rectangular splashback.The cost of the glass was quoted in dollars per square metre ($/m2). Susan had to convert her measurement to find out the cost of the splashback.What is the area of Susan’s splashback?Explanation of answer:Step 1: To find out the size of the splashback in m2 we need to convert the values in cm into metres. We have 70 cm x 80 cm. If we want to convert these values into metres, we need to divide them by 100 (100 cm in a metre).Step 2: 70 cm ÷ 100 = 0.7 m. 80 cm ÷ 100 = 0.8 m. We now have the equation as 0.7 x 0.8. To find our answer, we need to multiply the 0.7 by the 0.8. The easiest way to do this is to say:Step 3: The area of the splashback was 0.56 m2Step 4: The correct answer is – c) 0.56 m2 a) 56 m2 Refer to Explanation of Answer b) 5.6 m2 Refer to Explanation of Answer c) 0.56 m2 Correct Answer d) 560 m2 Refer to Explanation of Answer None Question 214.Regina has a part time job at a newsagency. Her pay rate depends on the day and time she works. Her pay is shown in the table below:Last week, Regina worked from 3 pm to 9 pm on Thursday and 9 am to 1 pm on Sunday.What was Regina’s total pay for last week?Explanation of answer:Step 1: When Regina worked on Thursday, she worked 3 hours before 6 pm and 3 hours after 6pm. This means there are 2 rates of pay. The 3 hours before 6 pm was at \$12 per hour. 3 x 12 = \$36. The 3 hours after 6 pm was at \$14 hour. 3 x \$14 = \$42 (3×10=30 + 3×4=12, 30+12=42)Step 2: Regina worked 4 hours on Sunday. Her rate was \$17 an hour. 4 x 17 = \$68 (4×10=40 + 4×7=28, 40+28=68)Step 3: Add all the amounts together. \$36 + \$42 + \$68 = \$146 (68 + 42 = 110, then 110 + 36 = 146). Regina was paid \$146 for the time she worked.Step 4: The correct answer is – a) $146 a) $146 Correct Answer b) $134 Refer to Explanation of Answer c) $128 Refer to Explanation of Answer d) $112 Refer to Explanation of Answer None Question 215.Brad was building a new house. In the bedrooms he was installing Jarrah wood flooring.It costs $120 per square metre.Looking at the floor plan for Bedroom 4 below, how much should it cost to install the Jarrah wood flooring?Explanation of answer:Step 1: The first step in solving this problem is to find out the area of the bedroom. Floorplans in Australia are measured in metres. The numbers in the above diagram are in metres. We can find the square metres by multiplying 3.1 x 4. 3 x 4 = 12, and 0.1 x 4 = 0.4. 12 + 0.4 = 12.4 m2Step 2: Now that we have found the area of the bedroom, we need to multiply that by the cost of the wood flooring which is $120 per square metre. We need to multiply 12.4 by 120. This could be a difficult calculation, but if we split the values apart, we can make the calculation easier.Step 3: We can split the 12.4 into 2 parts: 12 and 0.4. We can then multiply them by 120. 12 x 120 = 1,440 (12×12=144 then add the 0 at the end). 0.4 x 120 = 0.4 x 12 x 10 = 4 x 12 = 48 (alternatively 0.1 x 120 = 12, 0.2 x 120 = 24, 0.3 x 120 = 36, 0.4 x 120 = 48). We then add 1,440 + 48 = 1,488.Step 4: The total cost of installing the Jarrah wood flooring is $1,488Step 5: The correct answer is – b) $1,488 a) $1,500 Refer to Explanation of Answer b) $1,488 Correct Answer c) $1,432 Refer to Explanation of Answer d) $1,376 Refer to Explanation of Answer None Question 216.Fletcher is painting the exterior walls of his house.The paint comes in small (1 L), medium (4 L) and large (10 L) tins.A hardware warehouse is offering a “buy 2 medium tins and get 1 small tin free” special deal.Fletcher needs a minimum of 9 litres of paint.Which of the following will give him the lowest cost?Explanation of answer:Step 1: The best way to find the answer will be find the cost of each option.Step 2: a) One large tin (10 L) costs $219.Step 3: b) 1 Special deal: 2 medium tins (\$96.60 x 2 = \$193.20) plus a free small tin = \$193.20 (If you round the price to \$100 and subtract \$3.40 you would get \$96.60. To find the value of 2 medium tins round the total to \$200 and then subtract \$6.80 to get the actual cost)Step 4: c) 3 medium tins (\$96.60 x 3 =\$289.80) = \$289.80Step 5: d) 2 small tins (\$51.40 x 2 = \$102.80) 2 medium tins (\$96.6 x 2 = \$193.2) = \$102.80 + \$193.20 = \$296Step 6: The correct answer is – b) 1 special deal a) One large tin Refer to Explanation of Answer b) 1 Special deal Correct Answer c) 3 Medium tins Refer to Explanation of Answer d) 2 small tins and 2 medium tins Refer to Explanation of Answer None Question 217. After painting the outside of his house Fletcher decides to paint the inside of his house. The paint he is looking at comes in 4 litre tins. 1 litre of paint covers approximately 10 m2. The wall area of the house is 420 m2, but Fletcher only needs to paint 310 m2. How many tins of paint should Fletcher buy? Explanation of answer: Step 1: The first thing we must look at is that a 1 litre tin covers approximately 10 m2. This means a 4 litre tin would cover an area of 40 m2 (4 x 10 m2 = 40 m2) Step 2: We know that Fletcher needs to paint 310 m2 of his house walls. We need to divide 310 by 40 to get our answer. The number 40 wouldn’t fit easily into 310, so we can multiply the amount of tins by 40 m2 to give us an estimate of area coverage. 8 tins x 40 = 320 and 7 tins x 40 = 280. We can see by this calculation that 8 tins of paint would give us 320 m2 Step 3: This means that if Fletcher bought 8 tins of paint, he would be able to cover the 310 m2 of walls he needs to paint. Step 4: The correct answer is – b) 8 Alternative explanation of answer: Step 1: The first thing we must look at is that a 1 litre tin covers approximately 10 m2, so if Fletcher wants to paint 310m2, then he will need 310 ÷ 10 = 31 litres of paint. Step 2: The paint only comes in 4 litre tins, so Fletcher won’t be able to buy exactly 31 litres because 31 is not exactly divisible by 4. This means he will need to buy more than 31 litres. Step 3: Fletcher can buy 32 litres of paint because 32 ÷ 4 = 8. So in this case he would buy 8 tins. Step 4: The correct answer is – b) 8 a) 9 Refer to Explanation of Answer b) 8 Correct Answer c) 7 Refer to Explanation of Answer d) 6 Refer to Explanation of Answer None Question 218.Maia is looking to rent an apartment in Adelaide.She was researching the cost of a one-bedroom apartment and found five that she liked.The cost of rent for the week for the five apartments were:What is the median rental price of these 5 apartments?Explanation of answer:Step 1: In statistical analysis the median is known as the “middle” number in a numerically ordered data set. What we need to do, is place these values in ascending order to find our “middle” number.Step 2: \$310, \$310, \$320, \$350, \$380Step 3: In this above data set, we can see that $320 is the “middle” number. This is the median rental price of the five properties.Step 4: The correct answer is – b) $320 a) $310 Refer to Explanation of Answer b) $320 Correct Answer c) $350 Refer to Explanation of Answer d) $380 Refer to Explanation of Answer None Question 219.Armani made a batch of home-made jam to sell at her local markets. She used a round cylindrical jar to sell the jam in.The dimensions of the jar were:Diameter = 5 cmHeight = 7 cmWhich expression would give Armani the closest amount of Jam she needs to fill the Jar?Explanation of answer:Step 1: To find the volume of a cylinder we must know what the formula represents. The formula is V = π x r2 x h or Volume = Pi x radius squared x height.Step 2: As we are just trying to find the expression for the volume of the jar, we must make sure we are substituting the correct values into the formula.Step 3: We are given the values of the diameter (5 cm) and the height (7 cm). We need to find the value for the radius to work with this formula. To find the radius of the jar, we simply halve the value of the diameter. This is 2.5 cm.Step 4: We can now substitute these values into the formula: V = π x 2.52 x 7. This is our correct expression.Step 5: The correct answer is – c) (π x 2.52 x 7) cm3 a) (π x 52 x 7) cm3 Refer to Explanation of Answer b) (π x 72 x 5) cm3 Refer to Explanation of Answer c) (π x 2.52 x 7) cm3 Correct Answer d) (π x 102 x 5) cm3 Refer to Explanation of Answer None Question 220. Daniel works as an electrician around Perth. He charges a call out fee of \$50, and \$80 labour per hour worked.He was called out to a house in South Perth and worked there for 4 hours.Which of the following expressions should Daniel use to calculate his charge for working at the house?Explanation of answer:Step 1: To complete this answer you must understand how the order of operations acronym BIMDAS (brackets, indices, multiplication, division, addition and subtraction) works. You don’t actually need to calculate an answer, but you will need to know how BIMDAS works.Step 2: The main concept in this question is identifying where the figures for Daniel’s call out fee and hourly labour rate are located in the expression.Step 3: It is important to recognise that the \$50 call out fee should not be multiplied by anything in the expression. The \$80 hourly labour rate should be multiplied by the number of hours worked as this will give the total labour charge.Step 4: Answer a) does not have the $50 in its expression so can’t be considered.Step 5: Answer b) the values are in incorrect order (the expression says that the call out fee is \$80 and Daniel charges a \$50 per hour labour rate).Step 6: This is where your knowledge of BIMDAS is important. In Answer c) the two values are placed in brackets. This means you would add them together to give you a total ($130) and then multiply that by the number of hours worked. This answer is incorrect.Step 7: The last expression d) has the call out fee first (\$50), then added to that is the hourly labour cost (\$80) multiplied by the number of hours Daniel worked. In the rules of BIMDAS we multiply the \$80 by the hours worked, then add the call out fee (\$50) to get our answer. This means that expression d) is the correct answer.Step 8: The correct answer is – d) Amount in $ = 50 + 80 x hours worked a) Amount in $ = 80 x hours worked Refer to Explanation of Answer b) Amount in $ = 80 + 50 x hours worked Refer to Explanation of Answer c) Amount in $ = (50 + 80) x hours worked Refer to Explanation of Answer d) Amount in $ = 50 + 80 x hours worked Correct Answer None Question 2. The table below shows the attendance for the Perth Wildcats at Perth Arena from 2013 to 2016. The West Australian Newspaper reported the attendance rounded to the nearest thousand. In 2015, what attendance did the West Australian Newspaper report? Explanation of Answer: Step 1: The question asks you to look for the attendance in the 2015 season. Step 2: Look for the year – 2015 in the table and then across to the attendance figure. Step 3: The figure is 154,600. Step 4: The question says the West Australian Newspaper rounded the attendance to the nearest thousand. Step 5: You need to round 154,600 to the nearest thousand. Step 6: Look at the number in the thousands column, it is 4. Step 7: When rounding we need to look at the number on the right hand side of the number being rounded. In this case it is 6. Step 8: Because the 6 is closer to 10 we must round up the 4 in the thousands column by 1 digit to 5. This gives us 155,000. Step 9: The correct answer is – d) 155,000. a) 161 000 Refer to Explanation of Answer b) 154 000 Refer to Explanation of Answer c) 150 000 Refer to Explanation of Answer d) 155 000 Correct Answer None Question 4. On a travel website, the travel distances between places in New Zealand are listed in a table. Approximately how many kilometres is it from Auckland to Taupo? Explanation of answer Step 1: Look at the top graph and locate the city of Auckland and the city of Taupo. Step 2: From the name of Taupo, trace left 4 places along the grey row to the Auckland column. Step 3: This number should be 279. This means it is 279 km from Auckland to Taupo. Step 4: The correct answer is – d) 279 km. a) 299 km Refer to Explanation of Answer