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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