Numeracy (Questions 171-180) 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 171. Printing business cards costs $3 for a box of 50 cards.Pia wants to buy 27 boxes of business cards.Which expression states the total cost of the business cards that Pia wants to purchase?The correct expression is:Explanation of answer:Step 1: To answer this question it is worth looking at the expressions displayed in the drop down box. These expressions give us a hint to how we should go about answering the question.Step 2: What the answers are telling us is that the number of 27 has been split into two parts to find the answer. We can see that the 27 has been split into 20 and 7. Both must be multiplied by 3 (dollar value) and added together to give us our answer. The fact that there are 50 cards in a box is not important because we are not being asked to calculate the total number of cards.Step 3: So 3 x 20 and 3 x 7 are the split numbers. We add the + symbol to the middle of the expression to give us the final number.Step 4: Therefore, the expression is 3 x 20 + 3 x 7Step 5: The correct answer is – d) 3 x 20 + 3 x 7 Please select your answer a) 3 x 20 + 7 b) 3 x 20 + 27 c) 3 x 20 + 3 + 7 d) 3 x 20 + 3 x 7 Question 172.The nutrition information on a flavoured milk carton is shown below:One serving size of the milk contains 19 g of protein. What amount of protein does 1000 mL of milk contain?Explanation of answer:Step 1: The serving size of the carton of flavoured milk is 600 mL, we need to find out how much fat is in 1,000 mL of milk. This means multiplying 600 mL is not going to be a neat operation.Step 2: We know that 600 mL of milk contains 19 grams of protein. If we multiply the 600 mL by 2 then we get 1,200 mL of milk, which is too much milk. The difference between 1,000 mL and 600 mL is 400 mL. This difference of 400 mL is 2/3 of the original size. 600 mL + 400 mL = 1,000 mL. All we need to do is figure out what is 2/3 of 19 grams of protein and we can find out the answer.Step 3: To find 2/3 of 19 grams we need to split the 19 grams into thirds.18 ÷ 3 = 6 and 1 ÷ 3 = 0.33So if 1/3 of 19 is 6 + 0.33 = 6.33, then 2/3 of 19 must be 2 x 6.33 = 12.66. So 400 mL of milk would have 12.66 grams of protein.Step 4: We now add the totals together.600 mL contains 19 grams and 400 mL contains 12.66 grams, so 1,000 mL (400mL + 600 mL) contains 19 + 12.66 = 31.66 grams of protein.Step 5: The correct answer is – b) 31.66 grams a) 30.50 grams Refer to Explanation of Answer b) 31.66 grams Refer to Explanation of Answer c) 32.33 grams Refer to Explanation of Answer d) 34.66 grams Correct Answer None Question 173. Aaron painted the ceilings of the rooms shown below: How many square metres did he paint? Explanation of answer: Step 1: The easiest way to solve this question is to work out the area of the large rectangle that would go around the outer perimeter of both rooms, and then subtract the small rectangular area that is not part of a room. This simplifies the calculations but if it doesn’t seem intuitive, refer to the alternative explanation below. Step 2: The horizontal dimension of the large outer rectangle is given as 8m. The vertical dimension is 5m + 1m = 6m. We multiply these overall dimensions to work out the area of the large outer rectangle in square metres. 8m x 6m = 48m² Step 3: The vertical dimension of the small rectangle that is not part of a room is given as 1m. The horizontal dimension of this rectangle is 8m – 4.5m = 3.5m. Again we multiply these dimensions to work out the area of the small rectangle in square metres. 1m x 3.5m = 3.5m². Step 4: We must subtract the small area from the large area to find out the total area of the ceiling. 48m² – 3.5m² = 44.5m². Aaron painted 44.5m² of ceiling. Step 5: The correct answer is – a) 44.5m² ALTERNATE Explanation Step 1: To find out how many square metres Aaron had to paint we need to divide the diagram above into two rectangles – one representing each room. Step 2: Before we try to split the diagram up, we are missing two pieces of information. One is the smaller horizontal line on the right-hand side of the diagram (the kitchen). To find this information we need to subtract the bottom horizontal line value (4.5m) from the top horizontal line value (8m). 8m – 4.5m = 3.5m. Step 3: We now need to find the length of the vertical line running down the middle of the diagram. To find this we can add the two lengths on the right hand side of the diagram. This is 5m + 1m = 6m. Step 4: Now we can split the diagram along the vertical line that separates the two rooms. This gives us two rectangles. The smaller rectangle now has two sides with dimensions 5m and 3.5m. To find the area of this rectangle we multiply the 5m by 3.5m. This equals 17.5m2 Step 5: The larger rectangle now has two sides with dimensions 6m and 4.5m. To find the area of this rectangle we multiply the 6m by 4.5m. This equals 27m2 Step 6: We add the areas of both rectangles to find our answer. So 17.5m2 + 27m2 = 44.5m2 Step 7: The correct answer is – a) 44.5m2 a) 44.5m2 Correct Answer b) 41m2 Refer to Explanation of Answer c) 39.5m2 Refer to Explanation of Answer d) 38m2 Refer to Explanation of Answer None Question 174.Over the last few years Matt averaged his expenditures on his car: These were:On average, how much did he spend on his car each year?Explanation of answer:Step 1: As we can see from the table Matt has different time frames for how much he spends on his car. The question asks how much does he spend on his car over a year. We need to put all these values into a yearly total.Step 2: The car licence (\$620) and service and repairs (\$440) are already in a yearly total, so we don’t need to change these totals.Step 3: The petrol cost (\$20 per week) needs to be changed. We multiply the $20 by 52 (as there are 52 weeks in a year), so \$20 x 52 = \$1,040. You can break this up to make it easier to work out: 20 x 52 = 2 x 10 x 52 = 104 x 10 = 1,040.Step 4: The insurance cost (\$50 per month) also needs to be changed. We multiply the \$50 by 12 (as there are 12 months in a year), so \$50 x 12 = \$600. Again, you can break this up to make it easier to work out: 50 x 12 = 5 x 10 x 12 = 60 x 10 = 600Step 5: To find our answer we must add all these totals together. So, \$620 + \$440 + \$1,040 + \$600 = \$2,700Step 6: The correct answer is – b) $2,700 a) $2,650 Refer to Explanation of Answer b) $2,700 Correct Answer c) $2,780 Refer to Explanation of Answer d) $2,800 Refer to Explanation of Answer None Question 175. Grant has a water container that is 40cm high, 50cm wide and 60cm long. The surface of the water is 10 cm from the top of the container. If Grant wants to fill 2-litre water bottles for his friends to use on a hiking trip, how many bottles will he be able to fill using the water in the container? Explanation of answer: Step 1: This question requires us to first work out the volume of water in the container and then how many 2 litre bottles can be filled with that volume. Step 2: We are given the length and width of the container, but remember that the depth of the water is 10 cm less that the height of the container. So the depth of the water is 40 cm – 10 cm = 30 cm. Step 3: To find the volume of the water in the container we must multiply 60 cm x 50 cm x 30 cm. To simplify this calculation we can break it up as follows: 60 x 50 x 30 = 6 x 5 x 3 x 10 x 10 x 10 = 30 x 3 x 1000 = 90 x 1000 = 90,000. So the volume of water is 90,000 cm³ Step 4: One cubic centimetre (1 cm³) is the same as one millilitre (1 ml). There are 1000 millilitres in a litre, so to find out how many litres are in the container we need to divide 90,000 by 1,000. 90,000 cm3 ÷ 1,000 = 90,000 ml = 90,000 ml ÷ 1,000 = 90 litres. There are 90 litres of water in the container. Step 5: Now we need to divide the 90 litres by 2 as we are trying to fill 2-litre bottles. 90 ÷ 2 = 45, so Grant would be able to fill 45, 2-litre bottles using the water in the container. Step 5: The correct answer is – a) 45 bottles a) 45 bottles Correct Answer b) 43 bottles Refer to Explanation of Answer c) 38 bottles Refer to Explanation of Answer d) 35 bottles Refer to Explanation of Answer None Question 176. Before slikpik, lotto players had to choose six numbers from 1 to 45.To win the lotto jackpot, they had to have all six numbers corresponding to the lotto draw.Charlotte’s numbers were: 16, 17, 25, 27, 36, 42Matilda’s numbers were: 15, 20, 25, 30, 35, 45Olivia’s numbers were: 9, 13, 21, 28, 41, 45Which one of these statements is true?Explanation of answer:Step 1: Whenever reading a question on chance like this one, it is important to understand that in any chance event that requires a random selection of numbers, every person involved in that chance event has an equal chance of winning. Regardless of which numbers a person chose or how they chose them, each number has the same probability of being drawn in the lotto.Step 2: So in this question all three players have the same chance of winning.Step 3: The correct answer is – c) All three players have the same chance of winning. a) Olivia’s numbers are completely random, so she is the most likely to win. Refer to Explanation of Answer b) Charlotte’s numbers are large, and hence have the best chance of winning. Refer to Explanation of Answer c) All three players have the same chance of winning. Correct Answer d) Matilda’s numbers have a pattern, so she has the least chance of winning. Refer to Explanation of Answer None Question 177. A map of Perth Airport’s runway network has a scale of 1 : 50,000 On the map, the length of the main runway is 7 centimetres. What is the actual length of the main runway? Explanation of answer: Step 1: The way to figure out the length of the runway is to use the scale ratio mentioned in the first sentence. The scale ratio says that 1 cm on the map is equivalent to 50,000 cm on the ground. Step 2: We need to multiply the length of the runway on the map (7 cm) by the scale ratio of 50,000. We can remove the three zeros to make the multiplication easier. 7 x 50 = 350. Bring back the three zeros to the total to make 350,000. This means the runway is actually 350,000 cm long. Step 3: There are 100 centimetres in a metre, so to convert 350,000 cm into metres we need to divide it by 100. This is simply done by dropping two zeros: 350,000 ÷ 100 = 3,500. So according to the map, the runway at Perth Airport is actually 3,500 metres long. Step 4: The correct answer is – b) 3,500 m. a) 4,000 metres Refer to Explanation of Answer b) 3,500 metres Correct Answer c) 3,250 metres Refer to Explanation of Answer d) 3,000 metres Refer to Explanation of Answer None Question 178. Tom found an old soup recipe that required him to use 4 pints of chicken stock and 2 pints of water in the soup. A pint measures 568 millilitres in volume. If Tom doesn’t add any other ingredients, what is the closest amount of soup that the recipe makes in litres? Explanation of answer: Step 1: This question is basically asking us covert millilitres to litres. We have 4 pints of chicken stock and 2 pints of water, giving us a total of 6 pints of fluid in the soup. We now need to multiply the 6 pints by the volume of the pint (568 mL). The question asks what is closest amount of soup made from the recipe. This says that we should have an approximate value from our calculations. Step 2: To make the calculation easier we can round the volume of a pint from 568 mL up to 570 mL. Note that since we are only working with 6 pints, this rounding up will only increase our answer by 6 x 2 mL = 12 mL, which is the same as 0.012 litres – a very small inaccuracy. Step 3: We need to multiply the 570 by 6. Break apart the 570 into two parts. 500 and 70. 500 mL x 6 = 3,000 mL and 70 mL x 6 = 420 mL. Add the two totals together 3,000 mL + 420 mL = 3,420 mL. Step 3: Divide by 1,000 to convert the 3,420 mL to litres. 3,420 mL ÷ 1,000 = 3.42 litres. This becomes 3.4 litres if we round to one decimal place. Step 4: The correct answer is – c) 3.4 litres a) 3.8 litres Refer to Explanation of Answer b) 3.5 litres Refer to Explanation of Answer c) 3.4 litres Correct Answer d) 3.1 litres Refer to Explanation of Answer None Question 179. The middle triangle that is formed in this roof truss is an isosceles triangle. What is the size of the angle labelled x? Explanation of answer: Step 1: The first piece of information that we need to know, is the characteristics of an isosceles triangle. An isosceles triangle has two sides and two angles that are the same. In this instance the two sides that would be same are the sides coming from the apex of the roof. That means the two angles that are the same, are the bottom two angles. Step 2: To find the value of x we also need to know that the interior angles of a triangle add up to 180°. This requires us to subtract the total value of the bottom two angles from 180° to give the value of x. Step 3: If the bottom two angles are the same, we can calculate the total size of the two angles at the bottom of the triangle. This would be 72° x 2 = 144°. Step 4: All that is required now is to subtract 144° from 180° to find the value of x. 180° – 144° = 36°. Step 5: The correct answer is – b) 36°. a) 23° Refer to Explanation of Answer b) 36° Correct Answer c) 42° Refer to Explanation of Answer d) 48° Refer to Explanation of Answer None Question 180. On a real estate website, the median sales price for a house in the suburb of Hill Valley was \$450,000.During the last month 37 houses were sold, including one for \$1.5 million.If the $1.5 million house is not included in the calculation of the median price, which statement would be true?Explanation of answer:Step 1: In statistical analysis the median is known as the “middle” number in a numerically ordered data set. Removing a number from the data set could change the median value because the number in the middle of the old set is no longer in the middle of the new set. However, the median number could also stay the same if there are multiple numbers in the remaining set that are the same as the original median number.Step 2: If we take out the sale of the $1.5 million house from the data range, we could find that the median house price decreases because we have removed a number that was higher than the original median i.e. the original median is now positioned just above the new median. Note that if we take one number away from a set of 37 numbers, then we are left with 36 numbers. Since 36 is even, there is no middle number. In this case the mean is calculated as being the average of the two middle numbers in the set. So the new median could be lower, but it cannot be higher.Step 3: As we don’t know the data set, we don’t know if it contains several numbers that are the same as the original median price. This means the new median price could remain the same.Step 4: This gives us our answer that the median price must either stay the same or be lower.Step 5: The correct answer is – a) The median price must either stay the same or be lower. a) The median price must either stay the same or be lower. Correct Answer b) The median price must either stay the same or be higher. Refer to Explanation of Answer c) The median price must stay the same. Refer to Explanation of Answer d) The median price must be lower. Refer to Explanation of Answer None You’ve already answered some of the questions! Would you like to continue with quiz or restart it from beginning? Time's up
Numeracy (Questions 161-170) 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 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 You’ve already answered some of the questions! Would you like to continue with quiz or restart it from beginning? Time's up
Numeracy (Questions 151-160) 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 151. Bob and his friends regularly volunteer at a soup kitchen. The weekly roster for all the friends is below. How many days were Joe, Mia and Helen rostered to work on the same day? Explanation of answer: Step 1: Let’s find the days that Joe, Mia and Helen each worked and then we can see if they worked on the same days. We are looking for the green rectangles under each name as they are the days they worked. Step 2: Joe worked: Monday, Thursday and Sunday. Step 3: Mia worked: Monday, Thursday and Friday. Step 4: Helen worked: Monday, Saturday and Sunday. Step 5: The only common day they all worked was Monday. They were only rostered to work 1 day together. Step 6: The correct answer is – b) 1 day a) 0 days Refer to Explanation of Answer b) 1 day Correct Answer c) 2 days Refer to Explanation of Answer d) 4 days Refer to Explanation of Answer None Question 152. Gabriel went to the shop to buy some chewing gum. In one packet there were 14 sticks of gum. He bought 3 packets. How many sticks of gum did he have in total? Explanation of answer: Step 1: If there were 14 sticks in one packet and Gabriel bought 3 packets, we have to multiply 14 by 3 to find out how many sticks of gum in total. Step 2: We can break the 14 into two totals, 10 and 4 and multiply them each by 3. 10 x 3 = 30 and 4 x 3 = 12. We then add the two totals together to give us our final answer. 30 + 12 = 42. Step 3: The total amount of sticks of gum is 42. Step 6: The correct answer is – d) 42 a) 32 Refer to Explanation of Answer b) 36 Refer to Explanation of Answer c) 40 Refer to Explanation of Answer d) 42 Correct Answer None Question 153. Isla has 3 bags of Snakes from The Natural Confectionery Company. There are 18 snakes in each bag. She wants to divide up the snakes in 5 bags for herself and her friends. If she divides up the snakes equally per bag, how many snakes are left over? Explanation of answer: Step 1: This question requires you to find out how many snakes Isla has and then divide them into the paper bags equally. We need to multiply 3 bags of 18 snakes: 3 x 18 = 54 snakes (3 x 10 = 30, 8 x 3 = 24, and 30 + 24 = 54). Step 2: As we have 5 bags we want to be working with multiples of 5. 50 and 55 are multiples of 5, but 54 is not. We can divide 50 snakes into the 5 bags equally. 50 ÷ 5 = 10, so each bag would get 10 snakes. This leaves us with 4 snakes left over that cannot be divided equally into the bags. Step 3: Isla is left with 4 snakes that can’t be placed equally into the bags. Step 4: The correct answer is – b) 4. a) 3 Refer to Explanation of Answer b) 4 Correct Answer c) 5 Refer to Explanation of Answer d) 7 Refer to Explanation of Answer None Question 154. Kayla left work early to attend an appointment. It took her 25 minutes to drive to the appointment. The appointment took 30 minutes. She then had to drive home which took her 45 minutes. She arrived home at 6:10pm. What time did Kayla leave work for her appointment? Explanation of answer: Step 1: There are several times that we must consider in trying to figure out when Kayla left work. We should add all the times spent travelling and the appointment time first. Step 2: Travel time 1 = 25 mins, appointment time = 30 mins, travel time 2 = 45 mins. 25 mins + 30 mins = 55 mins. 55 mins + 45 mins = 1 hour and 40 mins. Kayla spent 1 hour and 40 mins travelling and at the appointment. Step 3: Kayla got home at 6:10pm. We need to subtract 1 hour and 40 mins off that time to find out what time she left work. Let’s break the 1 hour and 40 mins into two parts and work with each number. Step 4: 6:10pm – 40 mins = 5:30pm. 5:30pm – 1 hour = 4:30pm Step 5: Kayla left work at 4:30pm to leave for her appointment. Step 6: The correct answer is – d) 4:30pm. a) 4:55pm Refer to Explanation of Answer b) 4:45pm Refer to Explanation of Answer c) 4:39pm Refer to Explanation of Answer d) 4:30pm Correct Answer None Question 155.A factory’s management collected data about its work force.It collected that data in two different ways.Use the information from both tables to determine the correct statement.Explanation of answer:Step 1: To find out the correct statement we need to go through each statement a look at their respective details.Step 2: Statement a): Experienced workers have worked for 1 year. We can see on the left hand table that experienced workers have worked for 2 – 4 years. This statement is incorrect.Step 3: Statement b): A level 6 worker is considered a very experienced worker. When looking at the right hand table we can see that a level 6 worker has worked between 4 – 5 years. This links with the table on the left that says very experienced workers have worked for 4+ years. This statement is correct. Step 4: Statement c): A worker with little experience would be a level 4 worker. Looking at the right hand side table we can see that a level 4 worker has 2 – 3 years of experience. This amount of years experience places them as an experienced worker. This statement is incorrect.Step 5: Statement d) A very experienced worker has worked for at least 3 years. Looking at the right hand table we can see that a very experienced worker has worked for 4+ years. This statement is incorrect.Step 6: The correct answer is – b) A level 6 worker is considered a very experienced worker. a) Experienced workers have worked for 1 year Refer to Explanation of Answer b) A level 6 worker is considered a very experienced worker Correct Answer c) A worker with little experience would be a level 4 worker Refer to Explanation of Answer d) A very experienced worker has worked for at least 3 years Refer to Explanation of Answer None Question 156.Two hotels rent out rooms to paying customers.Hotel one charges $1500 for a 7 night stayHotel two charges ¾ of Hotel one’s price.What is Hotel two’s price for 7 nights?Explanation of answer:Step 1: To answer this question we must first find out what is one quarter of \$1,500. From there was can work out ¾ of \$1,500.Step 2: Half of \$1,500 would be \$750. To find half of \$750, we should split the number into two parts: \$700 and \$50. Half of \$700 = \$350 and Half of \$50 is \$25. We need to add those two numbers together. \$350 + \$25 = \$375. This is one quarter of \$1,500.Step 3: If a quarter of \$1,500 is \$375 and a half of \$1,500 is \$750 then we need to add that quarter and half together to get three quarters. We can split the numbers into easier parts to make the addition. \$750 becomes \$700 and \$50. \$375 becomes \$300 and \$75. We can add \$700 and \$300 to get \$1,000. Adding \$75 and \$50 together gives \$125. So \$1,000 add \$125 = \$1,125.Step 4: Hotel two charges \$1,125 for a 7 night stay.Step 5: The correct answer is – d) $1,125. a) $965 Refer to Explanation of Answer b) $1,000 Refer to Explanation of Answer c) $1,075 Refer to Explanation of Answer d) $1,125 Correct Answer None Question 157. Lucas was making a picnic table for his outdoor alfresco area. He was fastening the last nuts and bolts into the table. When fastening one nut, he turned his wrench through 7 half revolutions to tighten the nut. How man degrees did Lucas turn the wrench through? Explanation of answer: Step 1: The question states that the wrench went through 7 half revolutions. One revolution is 360 degrees, so a half revolution would be 180 degrees. We would have to multiply 180 by 7 to find out our answer. Step 2: Let’s break down the number 180 into two parts; 100 and 80. Let’s multiply 100 by 7 = 700. Let’s multiply 80 by 7 = 560. Add 700 and 560 together to give = 1,260 degrees. Alternate Step 2: 180 x 2 = 360 = 1 full revolution. 7 half revolutions is equal to 3 full revolutions and 1 half revolution. 3 x 360 = 1,080 degrees. 1080 + 180 = 1,260 degrees. Step 3: Lucas had to turn the wrench through 1,260 degrees to fasten the nut to the picnic table. Step 4: The correct answer is – c) 1,260 degrees. a) 900 degrees Refer to Explanation of Answer b) 1,080 degrees Refer to Explanation of Answer c) 1,260 degrees Correct Answer d) 1,440 degrees Refer to Explanation of Answer None Question 158. A cricket sight screen is used so a batsman can see the cricket ball clearly as it comes out of a bowler’s hand. Sight screens are rectangular in size, mostly 4 m by 5 m and are placed at the edge of the oval behind the bowler’s run up. What is the area of the 4 m by 5 m sight screen in square centimetres (cm2)? Explanation of answer: Step 1: When working with figures that need conversion it is best to know some base measurements. For example: 1 m by 1 m = 1 m2 and 100 cm x 100 cm = 10,000 cm2. Step 2: In this case we are working with metres and converting into centimetres. As there are 100 centimetres in 1 meter we must convert the original values into centimetres to find out our answer. Step 3: So 4 m = 400 cm and 5 m = 500 cm. To get the answer we must multiply 400 cm by 500 cm. The best way to do this is to remove the 4 zeros off the 400 and 500 and add them onto the end of the answer. For example we multiply 4 by 5 to get 20. We then add those same 4 zeros onto the end of the 20 to give us 200,000. Step 4: This means that 400 cm by 500 cm equals 200,000 cm2. Step 5: The correct answer is – a) 200,000 cm2. a) 200,000 cm2 Correct Answer b) 185,000 cm2 Refer to Explanation of Answer c) 160,000 cm2 Refer to Explanation of Answer d) 144,000 cm2 Refer to Explanation of Answer None Question 159. Brett was selling his boat for \$165,000.Three weeks later the price was reduced by \$25,000He ended up selling the boat for 5% less than the reduced price.How much did he sell the boat for?Explanation of answer:Step 1: You need to figure out what the reduced cost would be first. So \$165,000 minus \$25,000 = \$140,000.Step 2: From there you need to figure out what 5% of \$140,000 is. 10% of \$140,000 = \$14,000. 5% is half of 10% so half of \$14,000 is \$7,000.Step 3: Then we must subtract \$7,000 from \$140,000. Subtracting \$7,000 from \$140,000 would be \$133,000. So the price Brett sold the boat for was \$133,000.Step 4: The correct answer is – b) $133,000 a) $130,000 Refer to Explanation of Answer b) $133,000 Correct Answer c) $135,000 Refer to Explanation of Answer d) $138,000 Refer to Explanation of Answer None Question 160. Jack bought a new iPhone. It has a 128 gigabyte (GB) hard drive. He notices that 5% of the storage space is already used for the iPhone operating system. How much space is left on his new iPhone? Explanation of answer: Step 1: When figuring out the percentage for this question you should first find 10% of the total amount (128 GB). Step 2: To find 10% of 128, we move the decimal point one place value to the left. This will give you 12.8 (If you multiply 12.8 by 10 you would get 128 which is 100% of Jack’s iPhone space). Step 3: Once you have found 10% then you need to find 5% as this is the amount of space used on the iPhone. As 12.8 is 10% of the total we simply divide 12.8 by 2 to get 5% of the total. So 12.8 ÷ 2 = 6.4. This means that 6.4 GB of storage space is already used. Step 4: To find out how much space is left on his new iPhone we need to subtract 6.4 GB (5% of storage space) from 128 GB. As this value has a decimal point let’s split the 6.4 into 6 and 0.4 and subtract each separately. 128 GB – 6 GB = 122 GB and 122 GB – 0.4 GB = 121.6 GB. Step 5: There is 121.6 GB of storage space left on Jack’s new iPhone. Step 5: The correct answer is – d) 121.6 GB. a) 98.9 GB Refer to Explanation of Answer b) 105.6 GB Refer to Explanation of Answer c) 114.2 GB Refer to Explanation of Answer d) 121.6 GB Correct Answer None You’ve already answered some of the questions! Would you like to continue with quiz or restart it from beginning? Time's up
Numeracy (Questions 141-150) 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 141 a.Bianca’s recipe for 10 banana muffins is:400g flour500g sugar2 eggs300g of banana20g baking sodaa) If Bianca wants to make 16 muffins, how much sugar does she need to use?Explanation of answer:Step 1: Firstly we know that 10 muffins needs 500g of sugar in the recipe. We need to find out how much sugar is needed for 6 muffins.Step 2: To do this we need to find out how much sugar is needed for 1 muffin. To find this we divide 500g by 10 = 50g. One muffin takes 50g of sugar to make. If we now multiply 50g by 6 we will get the amount of sugar we need. 50g x 6 = 300g. To make the extra 6 muffins Bianca needs an additional 300g of sugar.Step 3: We now need to add the 500g and 300g to find out the total amount of sugar needed for the 16 muffins. 500g + 300g = 800g.Step 4: The correct answer is d) 800g Please select your answer a) 640g b) 700g c) 780g d) 800g Question 141 b.Bianca’s recipe for 10 banana muffins is:400g flour500g sugar2 eggs300g of banana20g baking soda From question 141 a. Bianca actually made 16 muffins.b) If Bianca gives away half of her muffins and eats 1 muffin, how many muffins does she have now?Explanation of answer:Step 1: Bianca gives away half of her muffins. This means we need to divide the total by 2. 16 ÷ 2 = 8. Bianca then eats one herself. This means we subtract 1 muffin from the total. 8 – 1 = 7. She has 7 muffins left.Step 2: The correct answer is c) 7 Please select your answer a) 3 b) 5 c) 7 d) 9 Question 142.Georgie wanted to buy some new shoes. The shoes cost $60 a pair. When she went to pay for the shoes, the sales assistant said there was special deal for buying shoes.She could buy one pair of shoes and get ¼ off the price of the second pair of shoes.How much did Georgie pay for the two pairs of shoes?Explanation of answer:Step 1: The first step in answering this question would be to find the ¼ off the \$60. ¼ is a ½ of a ½. Half of \$60 is \$30 and half of \$30 is \$15. \$15 is a ¼ of \$60. Now we need to subtract \$15 from \$60. \$60 – \$15 = \$45.Step 2: We now have our two prices for the shoes. The first pair is \$60 and the second pair is \$45. We need to add these two values together to find our total cost. So \$60 + \$45 = \$105.Step 3: The cost of the two pairs of shoes is $105.Step 4: The correct answer is – a) $105 a) $105 Correct Answer b) $95 Refer to Explanation of Answer c) $60 Refer to Explanation of Answer d) $35 Refer to Explanation of Answer e) $15 Refer to Explanation of Answer None Question 143. A swimmer is training for an international event. The swimmer swims 3.4 kilometres 3 times a week and also swims on the weekend. The total distance for the week is 21 kilometres. What is the distance swum on the weekend? Explanation of answer: Step 1: To find out the total distance swum on the weekend we must first find out how many kilometres they have swum during the week. That person swum 3.4 km, 3 times a week. So 3 x 3 km = 9 km and 3 x 0.4 km = 1.2 km. 9 km + 1.2 km = 10.2 km. Step 2: Now that we know they swum 10.2 km during the week we can subtract that total from 21 km to give us the distance swum on the weekend. 21 km – 10.2 km = 10.8 km. Step 3: Alternatively we can do it this way: 21 km – 10 km = 11 km. 11 km – 0.8 km = 10.8 km. Step 4: They swum 10.8 km on the weekend. Step 5: The correct answer is – d) 10.8 km a) 5.6 km Refer to Explanation of Answer b) 7.3 km Refer to Explanation of Answer c) 9.2 km Refer to Explanation of Answer d) 10.8 km Correct Answer None Question 144. A triangular pyramid has three edges on its base and three edges reaching to the apex of the pyramid. This gives a total of 6 edges for a triangular pyramid. A square pyramid has four edges on its base and four edges reaching to the apex of the pyramid. This give a total of 8 edges for a square pyramid. How many edges would a hexagonal pyramid have? Explanation of answer: Step 1: First we must know how many edges a hexagon has to determine how many edges in a hexagonal pyramid. Hex means six, so a hexagon has six sides and a hexagonal pyramid’s base would have six edges. Step 2: If we look at the pattern developed in the other pyramids, 3 edges on the base, 3 edges to the apex = 6 edges. 4 edges on the base, 4 edges to the apex = 8 edges. We can deduce that 6 edges on the base and 6 edges to the apex will give 12 edges on this type of pyramid. Look at this model to check: Step 3: The amount of edges on a hexagonal pyramid would be 12. Step 4: The correct answer is – c) 12 edges a) 5 edges Refer to Explanation of Answer b) 9 edges Refer to Explanation of Answer c) 12 edges Correct Answer d) 14 edges Refer to Explanation of Answer None Question 145.Logan went to the rugby with \$70.He bought three items and had \$22 in his pocket at the end of the game.Select the three items that Logan bought.Explanation of answer:Step 1: The question says that \$70 was used and there was \$22 left in his pocket, this means that \$48 was spent. You need to find out what three items added together came to \$48.Step 2: To make \$48, we will need to make sure the hat is included as it represents the largest cost within the total of \$48. Notice that adding the cost of items B, C & D together gives \$6 + \$5 + \$8 = \$19 which is far less than the \$48 dollars that was spent. This is why the hat must be one of the three items purchased.Step 3: Add items A, B & C together. \$35 + \$6 + \$5 = \$46. Not the correct answer.Step 4: Add items A, C & D together. \$35 + \$5 + \$8 = \$48. The correct answer.Step 5: Add items A, B & D together. \$35 + \$6 + \$8 = \$49. Not the correct answer.Step 7: As there are multiple combinations of items to get to the correct answer of $48, this question requires a process of elimination to determine the correct answer. This process is shown above.Step 8: The correct answer is – c) A, C & D. a) A, B & C Refer to Explanation of Answer b) B, C & D Refer to Explanation of Answer c) A, C & D Correct Answer d) A, B & D Refer to Explanation of Answer None Question 146. Thomas was looking at Perth City on google maps. He measured the straight-line distance between the WACA ground and Perth Arena to be approximately 3 centimetres. Thomas looked up the real straight line distance between WACA ground and Perth Arena. It is approximately 3 kilometres. What is the scale ratio of the google map that Thomas was looking at? Explanation of answer: Step 1: The first thing we know is that 3 centimetres on the map is equal to 3 kilometres in real life. We need to convert that 3 kilometres into centimetres to find out our scale ratio. Step 2: 3 kilometres is the same as saying 3,000 metres (1,000 metres in 1 kilometre). 3,000 metres is the same as saying 300,000 centimetres (100 centimetres in 1 metre). Step 3: So therefore 1 centimetre on the map is equal to 100,000 centimetres on the ground. We know this because 300,000 cm ÷ 3 cm = 100,000 cm. Step 4: The correct answer is – d) 1 : 100,000 a) 1 : 100 Refer to Explanation of Answer b) 1 : 1,000 Refer to Explanation of Answer c) 1 : 10,000 Refer to Explanation of Answer d) 1 : 100,000 Correct Answer None Question 147. The internal playing surface of a 7 foot English pool table is 180 cm by 90 cm. When adding on the cushion and frame the pool table is larger in size. If the cushion and frame are an extra 13 cm on each side of the table, what is the total length and width of the pool table in metres? Explanation of answer: Step 1: The cushion and frame of the pool table are 13 cm per side. With the table being a rectangle there are two sides in the length direction and two sides in the width direction. We must therefore add 2 x 13 = 26 cm to each internal dimension to work out what the external dimensions are since the question asks for the “total length and width”. Step 2: We need to add 26 cm to the internal length. 180 cm + 26 cm = 206 cm Step 3: We need to add 26 cm to the internal width. 90 cm + 26 cm = 116 cm Step 4: We need to convert 206 cm and 116 cm into metres. As 1 m = 100 cm we can convert these numbers. Step 5: 206 cm = 2.06 m Step 6: 116 cm = 1.16 m. Step 7: This means the pool table dimensions are 2.06 m by 1.16 m. Step 8: The correct answer is – c) 2.06 m by 1.16 m. a) 1.67 m by 0.77 m Refer to Explanation of Answer b) 1.93 m by 1.03 m Refer to Explanation of Answer c) 2.06 m by 1.16 m Correct Answer d) 2.10 m by 1.20 m Refer to Explanation of Answer None Question 148.Ethan went to the local community fair. Whilst he was there he bought a wooden hand-made toy for \$14 and a painting for \$27.How much in total did Ethan spend?Explanation of answer:Step 1: Simply add the two values together. \$27 + \$14 = \$41.Step 2: The correct answer is – c) $41. a) $32 Refer to Explanation of Answer b) $36 Refer to Explanation of Answer c) $41 Correct Answer d) $43 Refer to Explanation of Answer None Question 149.Jack went to the Melbourne Town Hall as part of the Melbourne International Comedy Festival. His ticket was in A reserve, section DD, seat 47. His friend Ben was C reserve, section QQ, seat 34.Which statements are true?Explanation of answer:Step 1: Jack’s seat is number 47, the end of the row is seat 52. Jack’s seat is 4 away from the walkway. So he is near a walkway. Statement a) is correct. Step 2: Jack’s seat is on the balcony so his seat is not on the lower floor. Statement b) is incorrect.Step 3: Ben, is sitting in C reserve, section QQ, seat 34. This seat is further away from the stage than Jack’s. So Jack is sitting closer to the stage than Ben. Statement c) is correct.Step 4: Section CC is adjacent to section DD. Section GG is on the other side of the Hall so statement d) is incorrect.Step 5: The correct answers are – a) Jack is near a walkway and c) Jack is sitting closer to the stage than his friend Ben. a) Jack is near a walkway Correct Answer b) His seat is on the lower floor Refer to Explanation of Answer c) Jack is sitting closer to the stage than his friend Ben Correct Answer d) Section GG is directly adjacent to where Jack is sitting Refer to Explanation of Answer You’ve already answered some of the questions! Would you like to continue with quiz or restart it from beginning? Time's up
Writing (Stimuli 7 – Police right to search – Per #5) Show session ID Load QuizSave Quiz Welcome to the OLNA Support Writing Skill Builder The timer will start as soon as you click 'next' You will have 60 minutes to write a 600 word response to 1 question Click submit once you are done to compare your answer with the OLNA Support marking guide Aim for a green response! Argue whether or not you think Police officers should have the right to search you if they think you are a danger to others. You have 60 minutes to complete this task and 600 words maximum. You should plan your writing before starting and organise your ideas.You could write a letter, an essay, a speech or a few structured paragraphs explaining your thoughts.You will need to consider: How you can engage your audience Be clear about the purpose of your response and the argument you want to present The structure and organisation of your points and the evidence or examples you will use to support them The words and language you will choose to use for effect and ensure your spelling, punctuation and grammar are clear and effective 600 Comment You’ve already answered some of the questions! Would you like to continue with quiz or restart it from beginning? Time's upTime is Up!
