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 Submit a CommentYour email address will not be published. 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