Numeracy (Questions 101-110) 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 101. 1 gram of protein contains 4 Calories (Cal). 1 gram of fat contains 9 Calories (Cal). 1 Calorie is equivalent to approximately 4.2 kilojoules (kJ). That lamb loin chop contains 672 kilojoules of protein. How many grams of protein are there in the lamb chop? Explanation of answer: Step 1: To find out how many grams of protein we will have to go through several steps. First we will have to convert the kilojoules to Calories, then convert the Calories to grams of protein. Step 2: If we have 672 kilojoules in the lamb chop we will need to divide that 672 by 4.2. This could be quite difficult from 672, however if we break it down we can figure it out. Step 3: We know that 1 Calorie = 4.2 kilojoules and 10 Calories = 42 kilojoules. So 100 Calories = 420 kilojoules. That also means that 50 Calories = 210 kilojoules, which is half of 420. If we add 420 (100 Cal) and 210 (50 Cal) together we get = 630 kilojoules (150 Cal). Our total is 672, so if we subtract 630 from 672 we get 42 kilojoules. This difference is exactly 10 Calories. This means that if we add 420 kJ (100 Cal) + 210 kJ (50 Cal) + 42kJ (10 Cal) = 672 kJ (160 Cal). Step 4: The first line in the question states that there is 4 Calories per 1 gram of protein. Now that we know there are 160 Calories in the lamb chop we can divide that by 4. So 160 ÷ 4 = 40. This means there is 40 grams of protein in the lamb loin chop. Step 5: The correct answer is – b) 40 grams. a) 35 grams Refer to Explanation of Answer b) 40 grams Correct Answer c) 44 grams Refer to Explanation of Answer d) 52 grams Refer to Explanation of Answer None Question 102. Charlie had 5 tests this week. His results are in the table below. What percentage did Charlie score in his S + E test? Explanation of answer: Step 1: If Charlie’s total mark was out of 25 then 25 is ¼ of 100. This means that if we multiply 25 by 4 we would get 100. A score of 100 would give 100%. Step 2: If Charlie got 16 out of 25, then we can multiply 16 by 4 to get his percentage score. 16 x 4 = 64. Alternatively we can do this: 16 x 2 = 32, 32 x 2 = 64. Step 3: Charlie scored 64% in his S + E test. Step 4: The correct answer is – b) 64%. a) 36% Refer to Explanation of Answer b) 64% Correct Answer c) 68% Refer to Explanation of Answer d) 71% Refer to Explanation of Answer None Question 103. Charlie had 5 tests this week. His results are in the table below. Which subject did he perform the best in? Explanation of answer: Step 1: We know that a score of 100 would give 100%, so we need to find out how to get the total marks to 100 and then do the same to his scores. We use multiplication as the tool to find out these percentage scores. Step 2: For English: 20 is 1⁄5 of 100 so we multiply both scores by 5. If he got 14 out of 20, then we can multiply 14 by 5 to get his percentage score. 14 x 5 = 70. Alternatively we can do this: 10 x 5 = 50 + 4 x 5 = 20, 50 + 20 = 70%. English = 70% Step 3: For Math: if the total score is out of 100 then his scores of 73 can already be considered as his percentage score. Math = 73% Step 4: For Science: 50 is ½ of 100 so we multiply both scores by 2. If he got 36 out of 50, then we can multiply 36 by 2 to get his percentage score. 36 x 2 = 72. Alternatively we can do this: 30 x 2 = 60, + 6 x 2 = 12, 60 + 12 = 72%. Science = 72% Step 5: For S + E: 25 is ¼ of 100 so we can multiply both scores by 4. If he got 16 out of 25, then we can multiply 16 by 4 to get his percentage score. 16 x 4 = 64. Alternatively we can do this: 16 x 2 = 32, 32 x 2 = 64%. S + E = 64% Step 6: For Information Technology (I.T.): 20 is 1⁄5 of 100 so we multiply both scores by 5. If he got 15 out of 20, then we can multiply 15 by 5 to get his percentage score. 15 x 5 = 75%. Alternatively we can do this: 10 x 5 = 50, + 5 x 5 = 25, 50 + 25 = 75%. I.T. = 75% Step 7: The correct answer is – e) Information Technology. a) English Refer to Explanation of Answer b) Math Refer to Explanation of Answer c) Science Refer to Explanation of Answer d) S + E Refer to Explanation of Answer e) Information Technology Correct Answer None Question 104.Which of the following shapes could be used to tile a floor without requiring cuts or having any gaps (except for tiles bordering onto the wall)?Explanation of answer:Step 1: To observe each tile in a floor format, look at the pictures below to see if they fit the criteria of the question above.Step 6: The answers are – a, b and c) a) Correct Answer b) Correct Answer c) Correct Answer d) Refer to Explanation of Answer Question 105.Sam spent $16 on spaghetti at the supermarket.Which of the following statements are true?Sam could have bought:Explanation of answer:Step 1: To figure out which statements are correct we need to go through each answer to determine if Sam spent $16 on the spaghetti.Step 2: Two 4 packs (2 x 4 = 8), two 3 packs (2 x 3 = 6) and two single cans (2 x 1 = 2) = 8 + 6 + 2 = $16. Answer is correct.Step 3: Three 4 packs (3 x 4 = 12) and one 3 pack (1 x 3 = 3) = 12 + 3 = $15. Answer is incorrect.Step 4: Four 3 packs (4 x 3 = 12) and four single cans (4 x 1 + 4) = 12 + 4 = $16. Answer is correct.Step 5: Five single cans (5 x 1 = 5), one 3 pack (1 x 3 = 3) and three 4 packs (3 x 4 = 12) = 5 + 3 + 12 = $20. Answer is incorrect.Step 6: The correct answers are – a) Two 4 packs, two 3 packs and two single cans and c) Four 3 packs and 4 single cans. a) Two 4 packs, two 3 packs and two single cans Correct Answer b) Three 4 packs and one 3 pack Refer to Explanation of Answer c) Four 3 packs and 4 single cans Correct Answer d) Five single cans, one 3 pack and three 4 packs Refer to Explanation of Answer Question 106. A car is travelling at 1.5km/min on a Freeway. How fast is the car travelling in kilometres per hour? Explanation of answer: Step 1: If a car was travelling at 1 km per minute on a freeway and there are 60 minutes in an hour, then the car would be travelling at 60km/h. Step 2: As the car is travelling at 1.5 km/min, and we know that 1 km/min = 60 km/h, we can find out what half of 60 is to find the 0.5 km/min. So half of 60 x 0.5 = 30 km/h. Step 3: When we add the 60 km/h and the 30 km/h we get = 90 km/h. The car is travelling at 90km/h. Step 4: The correct answer is – c) 90 km/h Alternative explanation: Step 1: If a car travels 1.5km in 1 minute then it must travel 60 times this distance in 1 hour since there are 60 minutes in an hour. We therefore need to multiply 1.5 by 60. Step 2: To make this easy, break it down. First multiply 1.5 by 10 to get 15. Then multiply 15 by 6 (15 + 15 +15 + 15 + 15 + 15 = 30 + 30 + 30 = 90) to get 90km/h. Step 3: The correct answer is – c) 90km/h a) 80 km/h Refer to Explanation of Answer b) 87 km/h Refer to Explanation of Answer c) 90 km/h Correct Answer d) 102 km/h Refer to Explanation of Answer None Question 107. Peter was looking at the Bureau of Meteorology website to determine how hot it was going to be in January. He lives in Brisbane. What is the chance that Peter will experience a warmer summer than normal? Explanation of answer: Step 1: To determine if Peter will experience a warmer summer than normal we must first look for Brisbane on the map. We can see it is in the dark red area. Step 2: From there we must look at the legend on the right hand side of the image. We must look for the dark red on the legend. When reading the text on the legend we can see that there is a greater than 80% chance of exceeding the median max temperature. This means that there is a very likely chance of the summer being warmer than normal. Step 3: The correct answer is – a) Very likely a) Very likely Correct Answer b) Moderately likely Refer to Explanation of Answer c) Likely Refer to Explanation of Answer d) Not at all likely Refer to Explanation of Answer None Question 108. The graph below shows population from different areas of the world over a one hundred year time period. From 1950 to 2010 the world population appears to have? Explanation of answer: Step 1: The world population in 1950 appears to be about 2.3 billion. In 2010, the world population appears to be about 7 billion. Step 2: This would indicate that the world’s population has tripled from 1950 to 2010 because 2.3 x 3 = 6.9. Step 3: The correct answer is – d) Tripled. a) Doubled Refer to Explanation of Answer b) Halved Refer to Explanation of Answer c) Stayed the same Refer to Explanation of Answer d) Tripled Correct Answer None Question 109. Joseph is looking for a holiday home to rent for 7 nights. He finds one that: Charges $150 per night Has a cleaning fee of $120 Wifi for $8 per night A repayable bond of $300 if there is no damage to the home. What is the total cost of his holiday rental if there is no damage to the home?Explanation of answer:Step 1: Calculate the total cost of the rental fee. 7 nights x \$150 = \$1,050.Step 2: Add the cleaning fee: \$1,050 + \$120 = \$1,170.Step 3: Add wifi (7 nights x \$8 = \$56): \$1,170 + \$56 = \$1,226.Step 4: He gets the bond back so he does not have to pay the \$300. The total cost of the holiday rental is: \$1,226.Step 5: The correct answer is – b) $1,226 a) $1,182 Refer to Explanation of Answer b) $1,226 Correct Answer c) $1,410 Refer to Explanation of Answer d) $1,526 Refer to Explanation of Answer None Question 110. Kimberley is building a helicopter model and she is using the scale of 1:50. If the helicopter blades span 18 cms on her model, what is the real life span of the helicopter blades? Explanation of answer: Step 1: The scale in this question means that if you have 1 cm on the model it equals 50 cms in real life. So in this instance, the length of the span on her helicopter blades is 18 cms long. We need to multiply that by 50 to find out the real life span of the helicopter blades. 18 x 50 = ? Step 2: Let’s split the numbers up to make the calculation easier. 10 x 50 = 500 cms. 8 x 50 = 400 cms. 500 cms + 400 cms = 900 cms in length. Step 3: In real life we wouldn’t say that the helicopter blades are 900 cms in length so we must convert to metres. 100 cms = 1 metre. So 900 cms = 9 metres. Step 4: The correct answer is – c) 9.0 m. a) 7.5 m Refer to Explanation of Answer b) 8.8 m Refer to Explanation of Answer c) 9.0 m Correct Answer d) 10.3 m 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 91-100) 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 91.In a game, two standard dice are thrown.The numbers that are facing up are added together. That number will determine how many spaces a player moves.If Ethan throws a 6 or 7 on his turn, he would land on a yellow square.What is the probability that Ethan would land on a yellow square?Explanation of answer:Step 1: When rolling a single dice, the probability of rolling a particular value are 1⁄6. There is an equal probability of rolling each of the numbers 1 – 6 because the dice is a cube which has six faces. But when we have two dice the probability of rolling a particular number is not as simple. For example, there’s only one way to roll a two (1+1), but there’s a lot of ways to roll a seven (1+6, 2+5, 3+4, 4+3, 5+2 and 6+1). Also, since each dice has 6 faces, there are 6 x 6 = 36 possible combinations of dice faces that could land facing up.Step 2: There are 5 possible ways to roll a 6 (1+5, 2+4, 3+3, 4+2 and 5+1). There are 6 possible ways to roll a 7 (1+6, 2+5, 3+4, 4+3, 5+2 and 6+1). This gives us a total of 11 (5 + 6) distinct possible ways of rolling either a 6 or a 7.Step 3: The probability of Ethan landing on a yellow square is therefore 11⁄36 i.e. 11 possible ways of rolling a 6 or a 7 out of 36 possible dice face combinations. Step 4: The correct answer is – d)11⁄36 a) 2⁄36 Refer to Explanation of Answer b) 6⁄36 Refer to Explanation of Answer c) 9⁄36 Refer to Explanation of Answer d) 11⁄36 Correct Answer None Question 92. A plane flight left from Melbourne to Perth. The time of departure in Melbourne was 10:00 and the flight arrived in Perth at 14:00. Melbourne time is 2 hours ahead of Perth time. If the distance flown was 2,720 kilometres, what was the approximate average flying speed of the plane? Explanation of answer: Step 1: There is some important information in this question. We need to know that Melbourne time is 2 hours ahead of Perth time. If the flight left at 10:00 and landed at 14:00, it took 4 hours flying time, but we must add 2 hours because of the time difference between each city. 6 hours is the number we have to work with. Alternatively, we can consider only the time in Perth. When the plane took off in Melbourne, the time in Perth would have been 8:00 because Perth is 2 hours behind Melbourne. When the plane landed, the time in Perth was 14:00. The difference in time between 8:00 and 14:00 is 6 hours, which is the actual amount of time that the plane was in the air. Step 2: To find the average flying speed of the plane we need to divide the total distance by the flying time. This means 2,720 km ÷ 6 = ? Step 3: Break down 2,720 km into 2,400 km and 320 km. Divide 2,400 km by 6 = 400 km. Divide 320 km by 6 ≈ 53 km. 400 km + 53 km = 453 km. This means the plane will cover approximately 453 km in 1 hour. This is the approximate average speed of the plane = 453 km/h. Step 4: The correct answer is – b) 453 km/h. a) 398 km/h Refer to Explanation of Answer b) 453 km/h Correct Answer c) 512 km/h Refer to Explanation of Answer d) 576 km/h Refer to Explanation of Answer None Question 93.A bobcat driver has to estimate the volume, V, of sand in a pile for removal.The pile forms a cone shape, 4 metres across the base and 1.5 metres high.Using the formula in the box, which of these answers is the best estimate of the volume of the sand pile?Explanation of answer:Step 1: To complete this answer you must use the order of operations acronym BIMDAS (brackets, indices, multiplication, division, addition and subtraction) in that order. We will answer this question line by line to get the answer.Step 2: V = 1⁄3(π r2) h.Step 3: V = 1⁄3(3.14 x 22) h : The radius is half the length of the base, in this case 2 is half of 4. The value of π is rounded to 3.14. Step 4: V = 1⁄3(3.14 x 4) h : 22is the same as 2 x 2 = 4.Step 5: V = 1⁄3(12) h : 3.14 x 4 = 12 (we round the value of 3.14 to 3 as we are estimating).Step 6: V = (1⁄3 x 12) h : we now do 1⁄3 x 12 = 4Step 7: V = 4 x h : The height is 1.5, so we multiply 4 by 1.5 = 6Step 8: V = 4 x 1.5 = 6Step 9: V = 6 m3Step 10: The correct answer is – d) 6 m3 a) 35 m3 Refer to Explanation of Answer b) 21 m3 Refer to Explanation of Answer c) 13 m3 Refer to Explanation of Answer d) 6 m3 Correct Answer None Question 94. A rectangular prism is cut in half and forms two cubes. The original prism had 6 faces and 12 edges. How many faces do the two cubes have combined? Explanation of answer: Step 1: The best way to explain how the rectangular prism becomes two cubes is to show a diagram of those two cubes. Step 2: The two cubes look like this: Step 3: We can now count the number of faces on each cube, which is 6. Two cubes each having 6 faces equals 12 faces in total. Step 4: The correct answer is – c) 12. a) 2 Refer to Explanation of Answer b) 6 Refer to Explanation of Answer c) 12 Correct Answer d) 14 Refer to Explanation of Answer None Question 95. Taxi company A charges \$1.40 per kilometre while Taxi company B charges \$1.55 per kilometre.How much do you save by using Taxi company A, if you travel 20 kilometres?Explanation of answer:Step 1: Taxi company A: \$1.40 x 10 km would be = \$14. Multiply by 2 to get 20 km and \$28 for the taxi fare.Step 2: Taxi company B: \$1.55 x 10 km would be = \$15.50. Multiply by 2 to get 20 km and \$31 for the taxi fare.Step 3: \$31 subtract \$28 = \$3. You save \$3 by using Taxi company A.Step 4: The correct answer is – b) $3 a) $1.50 Refer to Explanation of Answer b) $3 Correct Answer c) $4.50 Refer to Explanation of Answer d) $5 Refer to Explanation of Answer None Question 96. How many kilowatt hours has this household used? Explanation of answer: Step 1: Reading a power meter, you need to read the dials from left to right. Also you need to read the digits like time on a clock. The hands on the 1000 and 10 dials indicate the number they have past when moving clockwise. The hands on the 10000, 100, and 1 dials indicate the number they have past when moving anticlockwise.. Step 2: The first dial reads 2 as it is just fractionally past the number 2. The second dial reads 0 as the hand is not quite at the 1. The third dial is just past the 7 so it reads 7. The fourth dial is between the 1 and 2, so it is a 1. The last dial has the hand at the 5 so the last digit is a 5. Step 3: The total number of kWh from all 5 dials is: 20,715 kWh. This household has used 20,715 kWh. Step 4: The correct answer is – b) 20,715 kWh. a) 21,825 kWh Refer to Explanation of Answer b) 20,715 kWh Correct Answer c) 21,724 kWh Refer to Explanation of Answer d) 20,814 kWh Refer to Explanation of Answer None Question 97. Matthew got to work at ten minutes to 8am and left at a quarter past 5pm. How long was he at work? Explanation of answer: Step 1: To find out how long Matthew was at work we should break up times into smaller segments and then add them together to find out the total time working. Step 2: 7:50am to 8:00am is 10 mins difference. 8:00am to 12 noon is 4 hours difference. 12 noon to 5pm is 5 hours difference and 5pm to 5:15pm is 15 mins difference. Step 3: Let’s add all this time together. 4 hrs + 5 hrs = 9 hours. 10 mins + 15 mins = 25 mins. 9 hours + 25 mins = 9 hours and 25 mins at work. Step 4: The correct answer is – b) 9 hours and 25 mins. a) 8 hours and 45 minutes. Refer to Explanation of Answer b) 9 hours and 25 minutes. Correct Answer c) 9 hours and 45 minutes. Refer to Explanation of Answer d) 10 hours and 15 minutes. Refer to Explanation of Answer None Question 98.David is on a construction job. He charges $60 per half hour or part thereof.On Wednesday he was on the job for 5 ½ hours, on Thursday he returned for 3 ½ hours, and he finished the job on Friday with 50 minutes of work.How much did he charge for the job?Explanation of answer:Step 1: First piece of information we must note is that David charges $60 per half hour or part thereof. This means he charges $120 per hour.Step 2: Next we need to add up all the time he spent on the job. 5 ½ hours + 3 ½ hours + 50 mins (which we should round up to an hour, as that is what David would charge for) = 10 hours.Step 3: We can either multiply \$120 by 10 hours or \$60 by 20 half hours. Either way the result is the same. \$120 x 10 = \$1,200. David charges \$1,200 for the job.Step 4: The correct answer is – d) $1,200 a) $780 Refer to Explanation of Answer b) $920 Refer to Explanation of Answer c) $1,060 Refer to Explanation of Answer d) $1,200 Correct Answer None Question 99. In the swim leg of the Geelong Ironman, what direction are competitors heading in when they turn around the first turning buoy in the water? Explanation of answer: Step 1: To answer this question you must find the compass on the map. It is located in the top left hand corner of the map. Look for the direction of North and determine the other directions. Step 2: When the swimmers turn around the first turning buoy they are travelling in a South Easterly direction. Step 3: The correct answer is – d) South East a) South West Refer to Explanation of Answer b) North East Refer to Explanation of Answer c) South Refer to Explanation of Answer d) South East Correct Answer None Question 100. 1 gram of protein contains 4 Calories. 1 gram of fat contains 9 Calories. 1 Calorie is equivalent to approximately 4.2 kilojoules. A lamb loin chop contains 11 grams of fat. How many kilojoules of fat are there in the lamb chop? Explanation of answer: Step 1: If we have 11 grams of fat in the lamb chop we should multiply those 11 grams by 9 to figure out how many Calories there are in that chop. 11 x 9 = 99 Calories. Step 2: Next is to figure out the kilojoules. Let’s start by rounding up the 99 Calories to 100. Then we multiply the 100 Calories by 4.2 kilojoules = 420 kilojoules. We have added 1 extra Calorie to round 99 up to 100, so we need to take away the equivalent of 1 Calorie in kilojoules. 1 Calorie = 4.2 kilojoules. We should subtract 4.2 kilojoules from 420 to give us an accurate answer. 420 – 4.2 = 415.8 kilojoules. Step 3: There is 415.8 kilojoules of fat in this lamb loin chop. Step 4: The correct answer is – b) 415.8 kilojoules. a) 412.6 kilojoules Refer to Explanation of Answer b) 415.8 kilojoules Correct Answer c) 416.2 kilojoules Refer to Explanation of Answer d) 418.4 kilojoules Refer to Explanation of Answer None You’ve already answered some of the questions! 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Numeracy (Questions 81-90) 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 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 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 71-80) 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 71.A group of 30 AFL supporters are organising a catch up to watch an AFL match.Sixteen are Richmond supporters. The remaining people are Western Bulldogs supporters.One person is allocated to organise the catch up.What is the probability that a Richmond supporter will be allocated to organise the catch up?Explanation of answer:Step 1: To answer this question we must first figure out how many Richmond supporters there are in relation to the group. There are 16 Richmond supporters out of the 30 group members. This means there are 16⁄30 Richmond supporters.Step 2: The next part of the question asks us what is the probability that a Richmond supporter will be picked from the group. As we know there are 16⁄30 Richmond supporters in the group. The probability would be 16⁄30.Step 3: Be careful when picking the answer, as there is another correct answer in the multiple choice answers. 8⁄15 would also be correct as 8⁄15 is exactly the same as 16⁄30. The reason being is that 8⁄15 is the simplified version of 16⁄30. The numerator and denominator have both been divided by 2 to give the simplified answer of 8⁄15.Step 4: The correct answers are – a) 16⁄30 AND c) 8⁄15 a) 16⁄30 Correct Answer b) 1⁄16 Refer to Explanation of Answer c) 8⁄15 Correct Answer d) 14⁄30 Refer to Explanation of Answer Question 72. The table below shows the height, in metres, of the tides at Derby for five days in December 2016. Low tides are printed in red and high tides are printed in blue. What was the difference between the highest and the lowest tides on Saturday, 3rd of December? Explanation of answer: Step 1: In the table look for the row Saturday 3rd of December. Scan across and look for the red and blue digits. The tide height is under the coloured digits. The arrow pointing up is the high tide and the arrow pointing down is the low tide. Step 2: To find the difference between the high and low tides we must find the largest high tide and smallest low tide. The largest high tide is 9.3 m and the smallest low tide is 0.5m. Step 3: 9.3 m subtract 0.5 m is 8.8 m, the difference between the highest and lowest tide is 8.8 m Step 4: The correct answer is – a) 8.8 m a) 8.8 m Correct Answer b) 7.3 m Refer to Explanation of Answer c) 11.1 m Refer to Explanation of Answer d) 9.8 m Refer to Explanation of Answer None Question 73. The shape of a market garden paddock is a rectangle. It is 1.8 kilometres long and 700 metres wide. There is a fence around the entire paddock What is the length of the fence? Explanation of answer: Step 1: To answer this question you need to figure out the length of the fencing and to understand what a rectangle is. A rectangle has two sides, which in this case are 1.8 km long and two sides which are 700 m long. Step 2: Convert the 700 m to kilometres. 700 m = 0.7 km. This makes is easier to add the totals when they are all in the same unit of length. Step 3: The total length is (1.8 km x 2) + (0.7 km x 2) = (3.6 km + 1.4 km) = 5.0 km. Step 4: The correct answer is – c) 5.0 km a) 3.8 km Refer to Explanation of Answer b) 4.6 km Refer to Explanation of Answer c) 5.0 km Correct Answer d) 5.4 km Refer to Explanation of Answer None Question 74. An oven dial displays the temperature in degrees Celsius. The temperature shown on the dial above is closest to: Explanation of answer: Step 1: As the dial shows a dot to signal the temperature you will need to estimate the approximate temperature. In this case the dot is close to 220°C to about 225°C. Step 2: By looking at the answers provided in the multiple choice section the only answer that is close to our estimation is c) 225°C. Step 3: The correct answer is – c) 225°C a) 200°C Refer to Explanation of Answer b) 210°C Refer to Explanation of Answer c) 225°C Correct Answer d) 240°C Refer to Explanation of Answer None Question 75. A swimming pool has a length of 50 metres. The shallow end has a depth of 1.5 m and the deep end has a maximum depth of 4 m. There is a gradual slope from the shallow end to the deep end. Which diagram shows the correct profile of a side wall of the pool? Explanation of answer: Step 1: Since none of the images a) to d) are to scale or dimensioned, the length and depths stated in the question are irrelevant. The diagram that we are looking for must have three components; a deep end, a shallow end, and a gradual slope between the two. The diagram best suiting this description is answer c). Step 2: The correct answer is – c) a) Refer to Explanation of Answer b) Refer to Explanation of Answer c) Correct Answer d) Refer to Explanation of Answer None Question 76.Scott buys biscuits and savoury rolls for a morning tea.He buys 20 biscuits at \$2 each and 20 savoury rolls at \$3 each.Select all of the expressions that show the amount that Scott should pay in dollars.Explanation of answer:Step 1: To complete this answer you must use the order of operations acronym BIMDAS (brackets, indices, multiplication, division, addition and subtraction) in that order.Step 2: Before we use BIMDAS we must figure out how much it costs Scott to buy both the biscuits and rolls. The biscuits cost \$2 x 20 = \$40. The rolls cost \$3 x 20 = \$60. The total cost would be \$40 + \$60 = \$100.Step 3: Looking at the answers given we would do the multiplication first then addition. Let’s go through each answer.Step 4: a) 2 + 3 x 20: 3 x 20 = 60, then 2 + 60 = $62. Not the correct answer.Step 5: b) 20 x 2 + 3: 20 x 2 = 40, then 40 + 3 = 43 = $43. Not the correct answer.Step 6: c) 20 x 2 + 20 x 3: 20 x 2: = 40, then 20 x 3 = 60 then, 40 + 60 = $100. The correct answer.Step 7: d) 5 x 20: 5 x 20 = 100 = $100. The correct answer.Step 8: The correct answer is – both c) 20 x 2 + 20 x 3 AND d) 5 x 20 a) 2 + 3 x 20 Refer to Explanation of Answer b) 20 x 2 + 3 Refer to Explanation of Answer c) 20 x 2 + 20 x 3 Correct Answer d) 5 x 20 Correct Answer Question 77. Ethan wanted to estimate the length of a block of land. He counted 71 paces. Each pace was about 65 centimetres. The length of the block is closest to: Explanation of answer: Step 1: To answer this question we could simply multiply 71 by 65 to get our answer on a calculator, however, we don’t have one so we need to break down the numbers into parts. Step 2: Let’s break the 71 paces into two parts; 70 and 1. Step 3: Break down the 65 cms into two parts; 60 cms and 5 cms Step 4: We need to break down these numbers so we can work with different units of place value. This will allow us to do this calculation without a calculator. Step 5: Multiply 70 by 60 cms = 4,200 cms (7 x 6 = 42, then add two 0’s on the end to get 4,200 cms) Step 6: Multiply 70 by 5 cms = 350 cms (7 x 5 = 35, then add one 0 on the end to get 350 cms) Step 7: Multiply 65 by 1 = 65 cms Step 8: Add all the totals together; 4,200 + 350 + 65 = 4,615 cms Step 9: The answer we have is in centimetres; however, we need to the answer in metres. To do this we divide 4,615cm by 100 (100 cms in one metre), this gives us 46.15 m Step 10: The answer of 46.15 m is closest to the multiple choice answer of d) 46 m Step 11: The correct answer is – d) 46 m a) 42 m Refer to Explanation of Answer b) 44 m Refer to Explanation of Answer c) 45 m Refer to Explanation of Answer d) 46 m Correct Answer None Question 78. The graph below compares the times of trains that run to Fremantle Station and their arrival schedule. What percentage of the trains were early? Explanation of answer: Step 1: To determine what percentage of the trains were early we should look at some of the other arrival times to see what their percentages would be. Step 2: If we look at the “On time” section of the graph this would constitute about half of the graph which would equal about 50% of the time the train arrives “On time”. If we look at the “Late” section of the graph this would constitute about a quarter of the graph which would equal about 25% of the time the train arrives “Late”. Step 3: When looking at the “Early” section, that section is smaller that the “Late” section, so it must be less than 25% of the time. Step 4: When looking at the multiple choice answers the best answer would have to be c) Between 10% and 25% based on the size of that section in the pie graph. Step 5: The correct answer is – c) Between 10% and 25% a) About 50% Refer to Explanation of Answer b) Between 25% and 33% Refer to Explanation of Answer c) Between 10% and 25% Correct Answer d) Less than 10% Refer to Explanation of Answer None Question 79.A bank pays 1.25% simple interest per year on a term depositIf you deposit \$5,000 into that term deposit for 1 year, how much interest should the bank pay out?Explanation of answer:Step 1: The way to answer this question is to determine what 1% of \$5,000. 10% would be \$500, so 1% would be \$50.Step 2: To find out what 0.25% would be, we need to understand what that represents as a fraction, which is ¼ or one quarter. To find out what ¼ of 1% is, we halve the original number (\$50 ÷ 2 = \$25), then halve that number again (\$25 ÷ 2 = \$12.50). We now have one quarter or 0.25% of 1%, which is \$12.50.Step 3: To find out how much 1.25% of \$5,000 is we add the 1% (\$50) and the 0.25% (\$12.50) together to get (\$50 + \$12.50 = \$62.50) the answer of d) \$62.50Step 4: The correct answer is – d) $62.50 a) $50 Refer to Explanation of Answer b) $55 Refer to Explanation of Answer c) $60 Refer to Explanation of Answer d) $62.50 Correct Answer None Question 80. Rose and her four friends went out for lunch.The total bill for the lunch was \$67.20.Rose was the only one to have a cup of coffee.She paid \$4 for her coffee and the rest of the bill was shared equally.Which expression shows the total amount of money Rose paid for her lunch?Complete correctly:The total amount Rose paid for her lunch is equal to:Explanation of answer:Step 1: To complete this answer you must use the order of operations acronym BIMDAS (brackets, indices, multiplication, division, addition and subtraction) step by step to find the answer. We do not need to know the value amount of the meal and coffee only the expression which would lead us to the final cost.Step 2: To figure out how much it costs Rose for her meal we must break the bill into sections. If the total bill costs \$67.20, we must subtract \$4 from it to determine the portion that is to be shared. This is the first step and is represented by (67.2 – 4).Step 3: The next step requires us to divide the shared portion between the 5 friends. This would be represented by ÷ 5 in the equation.Step 4: The next step would be add the value of the coffee back onto Rose’s amount. This would be represented by + 4 in the equation.Step 5: We add all the components together to give the final equation of: (67.20 – 4) ÷ 5 + 4Step 6: The correct answer is – d) (67.20 – 4) ÷ 5 + 4. Please select your answer a) (67.20 – 4) ÷ 5 b) (67.20 + 4) ÷ 5 c) (67.20 + 4) ÷ 5 - 4 d) (67.20 – 4) ÷ 5 + 4 You’ve already answered some of the questions! 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Numeracy (Questions 61-70) 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 61. It was half past three, 4 minutes ago. What is the time now? Explanation of answer: Step 1: First read the time in the first part of the question = 3:30. Step 2: The second part of the question states, 4 minutes ago. This means 4 minutes have passed since 3:30. Step 3: Add 4 minutes to 3:30 to get 3:34. Step 4: The correct answer is – c) 3:34 a) Refer to Explanation of Answer b) Refer to Explanation of Answer c) Correct Answer d) Refer to Explanation of Answer None Question 62. At what grid reference are the emus found? Explanation of answer: Step 1: When looking at the map you can either look for the emu symbol or the word emu. To help guide you to where the emus would be you can look under the Australian Bushwalk heading in orange. Step 2: The emus are found in grid reference C4. Step 3: The correct answer is – d) C4 a) B3 Refer to Explanation of Answer b) D4 Refer to Explanation of Answer c) E9 Refer to Explanation of Answer d) C4 Correct Answer None Question 63. After visiting the emus, I walk to the rhinoceros enclosure. In what direction did I walk? Explanation of answer: Step 1: To answer this question you must find the compass on the map. It is located in the top left hand corner of the map underneath the Key. Look for the direction of North and determine the other directions. Step 2: Find the emus and the rhinoceroses on the map. Use the compass to help you find the direction of that travel from the emus to the rhinoceroses. Step 3: You should be travelling in a Southerly (S) direction. Step 4: The correct answer is – b) S a) SE Refer to Explanation of Answer b) S Correct Answer c) E Refer to Explanation of Answer d) SW Refer to Explanation of Answer None Question 64. The Mandurah region has 32 registered Uber cars and drivers. Of the 32 cars, ½ are Holdens, ¼ are Fords and the rest are Toyotas. How many cars are Toyotas? Explanation of answer: Step 1: To find out how many Toyotas there are, we must find out how many Holdens and Fords are being used for Uber. Step 2: Of the 32 cars, ½ are Holden. Divide 32 by 2 to get 16cars. This is the same as multiplying 32 by ½. Step 3: Of the 32 cars ¼ are Fords. Divide 32 by 4 to get 8 cars. This is the same as multiplying 32 by ¼. Alternatively you could divide 32 by 2 to get 16, and then divide 16 by 2 to get 8 cars. This is the same as multiplying 32 by ½ and then by ½ again (32 x ½ x ½ = 32 x ¼ = 32 ÷ 4 = 8). Step 4: If you have 32 cars total and 16 are Holdens and 8 are Fords we can subtract those totals from 32 to get the number of Toyotas. 32 – 16 = 16, 16 – 8 = 8. We have 8 cars that are Toyotas. Step 5: The correct answer is – b) 8 Alternative explanation: Step 1: A half is the same as two quarters. If half the cars are Holdens and one quarter are Fords, then in total, three quarters of all the Uber cars are not Toyotas. Step 2: Since “the rest are Toyotas”, that means that one quarter of all of the cars are Toyotas. Four quarters minus three quarters leaves one quarter. Step 3: All we have to work out is how many cars one quarter of 32 is. Divide 32 by 4 to get 8 cars. This is the same as multiplying 32 by ¼. Alternatively you could divide 32 by 2 to get 16, and then divide 16 by 2 to get 8 cars. This is the same as multiplying 32 by ½ and then by ½ again (32 x ½ x ½ = 32 x ¼ = 32 ÷ 4 = 8) Step 4: The correct answer is – b) 8 a) 6 Refer to Explanation of Answer b) 8 Correct Answer c) 12 Refer to Explanation of Answer d) 16 Refer to Explanation of Answer None Question 65. The birthdates of four friends are below: Who is the youngest? Explanation of answer: Step 1: As all the dates are presented in different format, we need to look at what common numbers are the same and then find the points of difference. Firstly, look at the year they were all born: 1975, this year is the same for all friends. We can’t determine who is the youngest from this info. Step 2: Next we should look at the months. These are different, two are in number form and two are in word form. If we place them in month order; 03 is March, then April, then May then 06, which is June. We can now find out who is the youngest from this info. Step 3: Anyone born in March, April or May would be older than someone born in June, so the person who is the youngest in this group of friends would be the one born in June. This is John. Step 4: The correct answer is – d) John a) Peter Refer to Explanation of Answer b) Bruce Refer to Explanation of Answer c) Phillip Refer to Explanation of Answer d) John Correct Answer None Question 66. This graph shows the average daily power usage of a family home over 2 years. Approximately, which season had the largest difference in power usage between the two years? Explanation of answer: Step 1: To answer this question you must compare the data from each season in 2014 to the same season in 2015 and find the approximate difference between the two. For example summer 2014 had 800 kWh usage and summer 2015 had about 780 kWh usage, which equals a 20 kW difference. We need to do that for each season to find the answer. Step 2: Autumn 2014 = 550 kW, Autumn 2015 = 530 kW = Difference of 20 kW Step 3: Winter 2014 = 700 kW, Winter 2015 = 750 kW = Difference of 50 kW Step 4: Spring 2014 = 600 kW, Spring 2015 = 580 kW = Difference of 20 kW Step 5: The season with the largest difference in power usage is Winter Step 6: The correct answer is – c) Winter a) Summer Refer to Explanation of Answer b) Autumn Refer to Explanation of Answer c) Winter Correct Answer d) Spring Refer to Explanation of Answer None Question 67 a.At the end of the trading day a newsagency has a number of notes in the till. They are:a) What was the amount collected in notes?Explanation of answerStep 1: To find out the answer for a) you must find out the totals of all the notes. 2 x \$100 = \$200, 3 x \$50 = \$150, 1 x \$20 = \$20, 4 x \$10 = \$40, 5 x \$5 = \$25.Step 2: Then add them together: \$200 + \$150 + \$20 + \$40 + \$25 = \$435. Step 3: The correct answer is c) $435 Please select your answer $385 $400 $435 $460 Question 67 b.At the end of the trading day a newsagency has a number of notes in the till. They are:b) \$43.75 was collected in coins; in total how much was collected altogether (notes + coins)?Explanation of answer:Step 1: To find out the answer you must find out the totals of all the notes. 2 x \$100 = \$200, 3 x \$50 = \$150, 1 x \$20 = \$20, 4 x \$10 = \$40, 5 x \$5 = \$25.Step 2: Then add them together: \$200 + \$150 + \$20 + \$40 + \$25 = \$435. Step 3: Now that you know the amount for notes, you can add the coins to the notes to get the answer. This is: \$435 + \$43.75 = \$478.75. Step 4: The correct answer is d) $478.75 Please select your answer a) $475.75 b) $476.75 c) $477.75 d) $478.75 Question 68. Mark filled up 5 buckets of water and weighed each one. He wrote the weight on each bucket. If he goes to pick up the two heaviest buckets how many kilograms would he be holding in total? Explanation of answer: Step 1: To answer this question you must know decimal places and the place value of each number. The closer the number to the decimal place (on the right hand of the decimal place) the larger the value of the number. For example 0.2 is ten times larger than 0.02. We have to look for the two largest values to add together. Step 2: The find the two heaviest buckets, we must find the two buckets that add to the largest value. For example: 8.2 kg + 8.032 kg = 16.232 kg, which is answer d) Step 3: 8.2 kg + 8.302 kg = 16.502kg, which is answer c) Step 4: 8.2 kg + 8.32 kg = 16.520 kg, which is answer b) Step 5: 8.302 kg + 8.32 kg = 16.622kg, which is answer a) Step 6: The correct answer is – a) 16.622 kg Alternative explanation: Step 1: Arranging the four different weights top to bottom from largest to smallest we get: 8.320 – largest 8.302 8.200 8.032 8.020 – smallest Step 2: We are only interested in the two largest weights, 8.32kg and 8.302kg. Adding these together gives us 8.32 kg + 8.302 kg = 16.622kg, which is answer a). Step 3: The correct answer is – a) 16.622 kg a) 16.622 kg Correct Answer b) 16.520 kg Refer to Explanation of Answer c) 16.502 kg Refer to Explanation of Answer d) 16.232 kg Refer to Explanation of Answer None Question 69. You have 4 Masters Choc milk containers. Each has 600 mL of Choc milk in them. You are sharing the Choc milk with 5 friends. You have five 450 mL glasses to share the milk with. How much milk would you have left over after filling those 5 glasses? Explanation of answer: Step 1: Figure out how much Choc milk we have first. Four containers with 600 mL each means 4 x 600 mL = 2,400 mL Step 2: Figure out how much milk needs to be shared. Five glasses that hold 450 mL each means 5 x 450 mL. Let’s break down that sum. 5 x 400 mL = 2,000 mL, 5 x 50 mL = 250 mL. 2,000 mL + 250 mL = 2,250 mL. Step 3: Find the difference between 2,400 mL and 2,250 mL = 2,400 mL – 2,250 mL = 150 mL Step 4: We have 150 mL of the Choc milk left over. Step 5: The correct answer is – c) 150 mL a) 50 mL Refer to Explanation of Answer b) 100 mL Refer to Explanation of Answer c) 150 mL Correct Answer d) 200 mL 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
