Numeracy (Questions 111-120) 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 111.A car was originally priced at \$20,000. Its price was reduced by \$2,000. There is now a further 5% off the reduced price.How much will the car cost now?Explanation of answer:Step 1: You need to figure out what the reduced cost would be first. So \$20,000 minus \$2,000 = \$18,000.Step 2: From there you need to figure out what 5% of \$18,000 is. To do this we start by figuring out 1%. 1% of \$18,000 = $180. We can then multiply \$180 by 5 and we will get what 5% is worth. So \$180 x 5 = \$900 (\$100 x 5 = \$500 + 5 x \$80 = \$400. \$500 + \$400 = \$900).Alternative step 2: From there you need to figure out what 5% of \$18,000 is. To do this we start by figuring out 10% which simply involves dropping one zero off the amount. So 10% of \$18,000 is \$1,800. To get 5% all we have to do is find half of 10%, so 5% is \$1,800 divided by 2 which is \$900.Step 3: Then we must subtract \$900 from \$18,000. \$18,000 – \$900 = \$17,100. The car will now cost \$17,100.Step 4: The correct answer is – c) $17,100 a) $18,150 Refer to Explanation of Answer b) $17,800 Refer to Explanation of Answer c) $17,100 Correct Answer d) $16,750 Refer to Explanation of Answer None Question 112. A bar fridge has a width of 500 mm and a depth of 500 mm. If the height is 70 cms, what is the volume of the fridge? Explanation of answer: Step 1: First we must convert the different measurements into the same unit. If the largest measurement is in cms and we need to find volume in cm3 then we can convert the 500 mm to cm. We divide 500 by 10 to get mm into cms. 500 ÷10 = 50 cm. The width and depth is 50 cm each. Step 2: To calculate the capacity of the fridge, we can do this by simply multiplying all three values. 50 cm x 50 cm = 2,500 x 70 = 175,000 cm3. Breakdown: (50 cm x 50 cm = 5 x 5 x 10 x 10 = 25 x 100 = 2,500. Then 2,500 x 70 = 25 x 7 x 100 x 10 = 175 x 1000 = 175,000 cm3. The fridge can hold 175,000 cm3. Step 3: The correct answer is – d) 175,000 cm3 a) 196,000 cm3 Refer to Explanation of Answer b) 187,000 cm3 Refer to Explanation of Answer c) 182,000 cm3 Refer to Explanation of Answer d) 175,000 cm3 Correct Answer None Question 113. Fridges are advertised with their capacity in litres. Use the rule below to figure out how many litres the bar fridge can hold. If the fridge has a capacity of 175,000 cm3, how many litres do this bar fridge hold? Explanation of answer: Step 1: First we must convert the 100 mL to litres. This is done by simply multiplying the 100 mL by 10 =1,000 mL = 1 L. If we do that, we must also convert the 100 cm3 by 10 = 1,000 cm3. This means our rule changes to 1 litre is equivalent to 1,000 cm3. Step 2: To convert from a quantity in cm3 to a quantity in litres, we must divide by 1,000. So 175,000 ÷ 1,000 = 175 (remove all the zeros, as there are three 0’in 1,000 and three 0’s in 175,000). There is 175 L capacity in this bar fridge. Step 3: The correct answer is – c) 175 L. Alternative explanation: Step 1: If 100 ml is equivalent to 100 cm³, then 1,000 ml must be equivalent to 1,000 cm³. 1,000 ml is a litre, so that means that 1 litre is equal to 1,000 cm³. Step 2: If the fridge has a capacity of 175,000 cm³ and 1 litre is 1,000 cm³, then all we have to do is divide 175,000 by 1,000 to get 175 litres. Step 3: The correct answer is – c) 175 L. a) 17.5 L Refer to Explanation of Answer b) 17,500 L Refer to Explanation of Answer c) 175 L Correct Answer d) 1,750 L Refer to Explanation of Answer None Question 114. Matt and Gary were both bowlers in a local cricket team. They were comparing how many runs were scored off their overs. They are:Matt: 3, 3, 4, 5, 8Gary: 3, 4, 4, 6, 6Which of the following statements are true?Explanation of answer:Step 1: To know if these statements are correct or not we must understand the mean, mode, median and range of data. These are:Step 2: Mean (average): To find the mean we must add all numbers together then divide by the amount of numbers in the data set. Both data sets add to 23. If we divide by 5 then we would get the same number (23 ÷ 5 = 4.6). Statement c) is correct.Step 3: Median, which is also known as the middle number in the data set. In this case both Matt and Gary have 4 as their middle number. This means that statement d) is correct.Step 4: Mode, which is also known as the most occurring number. Matt’s is 3 and Gary’s is 4, so the mode is different for both players. Statement a) is incorrectStep 5: Range, which is simply the largest number minus the smallest number. Matt’s is: 8 – 3 = 5. Gary’s is 6 – 3 = 3. Matt’s range is higher than Gary’s. Statement b) is correct.Step 6: The correct answer is – b), c) and d). a) Matt and Gary have the same mode Refer to Explanation of Answer b) Matt’s range is higher than Gary’s Correct Answer c) Matt’s and Gary’s mean are the same Correct Answer d) The median is the same for both players Correct Answer Question 115.At the Perth Arena, Keanu sat in the light blue section of block 214. His friend Tim sat in the yellow section of block 204.Which of the following statements are true?Explanation of answer:Step 1: Adjacent means next to so statement a) is incorrect.Step 2: The yellow section in block 204 is next to a stairway and exit, so statement b) is correct.Step 3: The navy blue section is right in front of the court, so statement c) is incorrect.Step 4: Opposite in this case means the other side. So Tim is sitting opposite Keanu. Statement d) is correct.Step 5: The correct answers are – b) and d). a) Keanu sat in the adjacent block to Tim Refer to Explanation of Answer b) Tim is sitting near a stairway and exit Correct Answer c) Keanu sat right in front of the court Refer to Explanation of Answer d) Tim sat in the opposite block to Keanu Correct Answer Question 116. The Star Wars Films were not made in numerical (or episode) order. There was a 21 year difference in release dates between Episode IV: A New Hope and Episode I: The Phantom Menace. How many years have passed between Episode VI: Return of the Jedi and Episode I: The Phantom Menace? Explanation of answer: Step 1: Episode VI: Return of the Jedi was released in 1983, while Episode I: The Phantom Menace was released in 1999. Step 2: We do count the year that a film was released in so we have to count from 1983 to 1999. In this case it was 16 years (1999 – 1983 = 99 – 83 = 16). Step 3: The correct answer is – c) 16 years a) 20 years Refer to Explanation of Answer b) 18 years Refer to Explanation of Answer c) 16 years Correct Answer d) 15 years Refer to Explanation of Answer None Question 117. In a 5 x 5 grid D4 is South East of B2. What direction is B4 from D1? Explanation of answer: Step 1: As there is no compass in this question, you must have a good knowledge of the compass directions and there is a hint in the question. If D4 is South East of B2 then we can figure out that B4 is in the North East of the grid and D1 is in the South West of the grid. This means that the direction from D1 to B4 is in a North East direction. Step 2: B4 to D1 is in the North East direction. Step 3: The correct answer is – a) North East. a) North East Correct Answer b) East Refer to Explanation of Answer c) North West Refer to Explanation of Answer d) South East Refer to Explanation of Answer None Question 118.Which of the following expressions represents the proportion of red smarties in the picture?Explanation of answer:Step 1: There are 2 red smarties out of 20 smarties all together. This can be represented as a fraction as 2⁄20 which when simplified is the same as 1⁄10. This answer is correct.Step 2: 1⁄10 when converted into a decimal is 0.10. This answer is correct.Step 3: 0.10 as a decimal is the same as saying 10%. This answer is correct.Step 4: 1 represents 1 whole or in this case with these smarties is 20⁄20 or 100%. This answer is not correct.Step 5: The correct answers are – a), c), and d) a) 10% Correct Answer b) 1 Refer to Explanation of Answer c) 1⁄10 Correct Answer d) 0.10 Correct Answer Question 119. During the summer time in Australia, NSW switches to Daylight Savings Time. This means that Sydney would be 3 hours ahead of Perth. What is the time in Perth, if it is 15:45 in Sydney? Explanation of answer: Step 1: As this question is in 24 hour time we must work in 24 hour time. If you need to know what the time is in 12 hour time, subtract 12:00 from 15:45 and you get 3:45pm. Step 2: If the time in Sydney is 15:45 and Sydney is 3 hours in front of Perth, then we have to subtract 3 hours from 15:45 to find out Perth time. So 15:45 – 03:00 hours = 12:45 Step 3: Perth time would be 12:45 Step 4: The correct answer is – d) 12:45 a) 11:45 Refer to Explanation of Answer b) 18:45 Refer to Explanation of Answer c) 17:45 Refer to Explanation of Answer d) 12:45 Correct Answer None Question 120. Layla cooks a lamb roast in the oven for 2 1⁄2 hours and then leaves it in the oven for another 1⁄4 of an hour to cool slightly. What is the total number of hours that the lamb roast was in the oven? Explanation of answer: Step 1: First we add the fractions together. 2 1⁄2 hours + 1⁄4 hour = 2 3⁄4 hours. Step 2: We know that the 2 means 2 hours but we need to figure out what 3⁄4 is as a decimal. If 0.5 = 1⁄2 as a fraction and 0.25 = 1⁄4 as a fraction, then 3⁄4 would equal 0.75. So 3 quarters of an hour (or 45 mins) would be represented as 0.75 as a decimal. Step 3: So this means that the Lamb roast was in the oven for 2.75 hours. Step 4: The correct answer is – c) 2.75 hours. a) 2.5 hours Refer to Explanation of Answer b) 3 hours Refer to Explanation of Answer c) 2.75 hours Correct Answer d) 3.25 hours 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
