Numeracy (Questions 201 – 210) 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 201. Jensen is installing laminate flooring in his dining room. He needs to purchase an extra 10% of the flooring to allow for wastage when it is being installed. His dining room area is 16 m2. What is the total amount of flooring Jensen needs to order? Explanation of answer: Step 1: We know that Jensen’s dining room floor is 16 m2. To find out how much extra he needs we need to find out what 10% of 16 m2 is and then add it to 16 m2 to find our answer. Step 2: To find out what 10% would be, we are essentially moving the decimal point one place value to the left of that number. For example, 10% of 24 would be 2.4. Step 3: In our question, 10% of 16 m2 would be 1.6 m2. We now need to add these two values together to get our answer. 16 m2 + 1.6 m2 = 17.6 m2. Step 4: The correct answer is – c) 17.6 m2 a) 1.6 m2 Refer to Explanation of Answer b) 14.4 m2 Refer to Explanation of Answer c) 17.6 m2 Correct Answer d) 20.8 m2 Refer to Explanation of Answer None Question 202.Isabella bought a watch for \$4,000.Three years later she had sold it for \$4,800.What percentage profit did she make?Explanation of answer:Step 1: When determining a percentage profit, we need to determine the profit made over time. In this instance it is the sold price minus the original price. \$4,800 – \$4,000 = \$800Step 2: We need find out the profit as a percentage of the original cost. Our profit is \$800, and the original cost is \$4,000. To find out what percentage the \$800 profit is, we need to find our baseline 10% of \$4,000.Step 3: To find out what 10% would be, we are essentially moving the decimal point one place value to the left of the \$4,000 = \$400. 10% of \$4,000 is \$400. If we double \$400, we get \$800. Doubling the dollar value means we can double the percentage value. Double 10% = 20%.Step 4: 20% of \$4,000 is \$800. This was the value of the profit made by selling the watch. The percentage profit Isabella made by selling the watch was 20%.Step 5: The correct answer is – d) 20% a) 8% Refer to Explanation of Answer b) 12% Refer to Explanation of Answer c) 16% Refer to Explanation of Answer d) 20% Correct Answer None Question 203.Lottie works at a recycling collection factory.She is paid \$238 for every 1,000 plastic bottles sorted.She also received a bonus of \$821 if she sorts over 10,000 plastic bottles in the week.If Lottie sorted 18,000 plastic bottles in a week, which is the best estimate of the amount she earned?Explanation of answer:Step 1: To determine the answer in this question, we need to have a look at the number of bottles Lottie sorted, then break the other information into sections and round each figure to find the best estimate for the final answer.Step 2: Lottie sorted 18,000 bottles. She gets paid per 1,000 bottles, but also gets a bonus for sorting over 10,000 bottles. We need to round how much she gets paid per 1,000 and 10,000 bottles.Step 3: Lottie was paid $238 per 1,000 bottles. We need to round this dollar figure to the nearest 100. 238 is closer to 200 than 300 (as 38 is closer to 0 than 100), so 200 is our rounded figure.Step 4: Lottie was paid a bonus of $821 for sorting over 10,000 bottles. We need to round this dollar figure to the nearest 100. 821 is closer to 800 than 300 (as 21 is closer to 0 than 100), so 800 is our rounded figure.Step 5: These two figures of 800 and 200 can now be substituted into the answers provided in the multiple-choice section below.Step 6: The last value in the expression (x 10 or x 20) is the total rounded value of the amount of 1,000 bottles Lottie sorted. As Lottie sorted through 18,000 bottles, this can be expressed as 18 x 1,000 bottles sorted. We round this value of 18 to the nearest 10, which gives us 20. We can now substitute that value into our expression.Step 7: Our rounded values now sit at 800, 200 and 20. As an expression we get 800 + (200 x 20).Step 8: The correct answer is – c) 800 + (200 x 20) a) 800 + (200 x 10) Refer to Explanation of Answer b) 800 + (300 x 10) Refer to Explanation of Answer c) 800 + (200 x 20) Correct Answer d) 800 + (300 x 20) Refer to Explanation of Answer None Question 204. Common microwave ovens heat food at frequencies near 2.45 GHz (Gigahertz). 1 Gigahertz represents 1 billion cycles per second. 1 Hertz represents 1 cycle per second. What is 2.45 Gigahertz when converted into Hertz? Explanation of answer: Step 1: Converting Gigahertz to Hertz requires us to multiply the value given by 1 billion. This was stated in the question, that 1 gigahertz is 1 billion Hertz. Step 2: The microwave frequency was at 2.45 Gigahertz. This is the value we must convert. Step 3: We need to multiply 2.45 by 1 billion. This is 2.45 x 1,000,000,000 = 2,450,000,000 Step 4: Once converted, we have a value of 2,450,000,000 hertz. Step 5: The correct answer is – c) 2,450,000,000 hertz. a) 245,000,000,000 Hertz Refer to Explanation of Answer b) 24,500,000,000 Hertz Refer to Explanation of Answer c) 2,450,000,000 Hertz Correct Answer d) 245,000,000 Hertz Refer to Explanation of Answer None Question 205. The table below shows the weight of the players in a Super Rugby squad In Australia, the average weight of an adult male is 85 kg. How many of the players are 21 kg or more above this average weight? Explanation of answer: Step 1: To find out how many players are 21 kg above the average male weight, we must first add 21 kg and 85 kg. 21 + 85 = 106. 106 kg is the weight we need to look for. Step 2: We can now look at the table and see how many players are in the 106 – 108 kg weight range. It is 9. We then look at higher weight ranges and add all the players in those weigh categories to get our total. 9 + 6 + 5 + 3 + 2 = 25 Step 3: There are 25 players who are 21kg above the average weight of an adult male. Step 4: The correct answer is – a) 25 a) 25 Correct Answer b) 23 Refer to Explanation of Answer c) 20 Refer to Explanation of Answer d) 18 Refer to Explanation of Answer None Question 206. Graeme worked as a carpenter’s apprentice. His boss had asked him to saw a wood cube in half for a specific join. His boss specified that the cube was to be cut vertically and across the diagonal as per the diagram. Which of the following is the shape of the cut wood? Explanation of answer: Step 1: If the cube was cut vertically and across the diagonal, then the cut would be made in a downwards fashion and from one corner to another corner. This would give Graeme two triangular prisms. Step 2: The two cut triangular prisms would both have two faces at 90 degrees to each other – these are the sides of the original cube. So looking at the triangular end of each prism we would see that they are both right angled triangles. Step 3: We are looking for a right angled triangular prism in the answers provided. We need to look at the light shaded face at the front of the shape to determine this. Step 4: If we look at shape A, this is the shape that has a right-angled triangle on the light shaded face of the prism. This is the shape created from the saw cut. Step 5: The correct answer is – a) A a) A Correct Answer b) B Refer to Explanation of Answer c) C Refer to Explanation of Answer d) D Refer to Explanation of Answer None Question 207. Scott’s plane was leaving Sydney at 4:30 pm. He was flying to Perth. The flight to Perth normally takes 5 hours. His flight was quicker than normal and landed 15 mins ahead of time. In the winter months, Sydney is 2 hours ahead of Perth. What was the time in Perth when Scott arrived? Explanation of answer: Step 1: This question requires you to add then subtract time to get your answer. Initially we should add the 5 hours flying time to the time in Sydney. This is 4:30 pm + 5 hours = 9:30 pm Step 2: As the flight was 15 mins early, we should subtract the 15 mins from 9:30 pm = 9:15 pm. Step 3: Then to find out the time the plane landed in Perth; we subtract the 2 hours difference in time zones. 9:15pm – 2 hours = 7:15 pm Step 4: The time Scott landed in Perth was 7:15 pm Step 5: The correct answer is – d) 7:15 pm Alternative explanation of answer: Step 1: Time zone problems like this can be made less confusing by imagining that the whole flight took place in the destination time zone. Let’s imagine that the plane took off in Perth (rather than Sydney), flew around for 4 hours and 45 minutes (5 hours minus 15 minutes), and then landed again in Perth. Step 2: In Perth time, the plane took off at 2:30pm because Perth is 2 hours behind Sydney (4:30pm minus 2 hours = 2:30pm) Step 3: So if the plane takes off at 2:30pm Perth time and flies for 4 hours and 45 minutes, then all we need to do to work out the landing time is add 4 hours and 45 minutes to the take-off time. So, 2:30 plus 4 hours is 6:30pm, and 6:30pm plus 45 minutes is 7:15pm. Step 4: The correct answer is – d) 7:15pm a) 8:45 pm Refer to Explanation of Answer b) 8:15 pm Refer to Explanation of Answer c) 7:45 pm Refer to Explanation of Answer d) 7:15 pm Correct Answer None Question 208. This die-cast model car is made to a scale of 1:50 If the diameter of the model car wheel is 1.25cm, what is the diameter of the full-sized car wheel? Explanation of answer: Step 1: The scale of 1:50 tells us that 1 cm on the model is equal to 50 cm on a full-sized car. We must use this scale to calculate the diameter of the full-sized version of the car wheel. Step 2: As the model car wheel diameter is 1.25 cm, we can break this down to make our calculation easier. Let break it down to 1 cm and 0.25 cm. Step 3: As we know 1 cm = 50 cm, however we must figure out what 0.25 cm is. 0.25 is ¼ of 1. We need to find a ¼ of 50. To find a ¼ of 50 we halve 50 = 25, then we halve 25 again = 12.5 cm ( ½ of a ½ = ¼ or a half of a half equals a quarter) Step 4: We add the 50 cm and the 12.5 cm to give us our full-sized car wheel diameter = 62.5 cm Step 5: The correct answer is – b) 62.5 cm a) 6.25 cm Refer to Explanation of Answer b) 62.5 cm Correct Answer c) 625 cm Refer to Explanation of Answer d) 6,250 cm Refer to Explanation of Answer None Question 209. Harley worked a part time job at a large supermarket chain. He was asked to stack milk bottles to a fridge shelf from a trolley of milk crates. Each milk crate had 12 milk bottles in the crate. Harley was given a trolley that was 2 layers high. There was only space for 1 row of crates on each layer of the trolley. Each row had 3 crates of milk in it. How many milk bottles did Harley have to stack? Explanation of answer: Step 1: There are multiple steps to answer this question. First, we must acknowledge that in each milk crate there are 12 milk bottles. This means that we will be working with multiples of 12 (twelve timetables). Step 2: The trolley has 1 row at the bottom with 3 crates of milk on it, and 1 row at the top with 3 crates of milk on it (so 2 rows in total). If 1 row has 3 crates, then 2 rows would have 6 crates. Step 3: To get the total amount of milk bottles in the trolley, we multiply the 6 crates by 12 milk bottles. 6 x 12 = 72 milk bottles. Harley stacked 72 milk bottles from his trolley of milk crates. Step 4: The correct answer is – d) 72 cm Alternative method for above (replace Steps 2 and 3) Step 2: The next section tells us that the trolley has one row with 3 crates. This means that there are 3 lots of 12 milk bottles (3 x 12). This gives us 36 bottles of milk. Step 3: That same section also tells us that there are 2 layers of crates (which means there are really two rows of crates). This means that we need to multiply the first row by 2 to get our answer. 36 bottles x 2 rows = 72 bottles of milk. a) 48 Refer to Explanation of Answer b) 56 Refer to Explanation of Answer c) 64 Refer to Explanation of Answer d) 72 Correct Answer None Question 210. Bianca went to the petrol station of buy some diesel for her car.The price of diesel was 119.9 cents per litre.Bianca bought $36 worth of diesel.Roughly, how many litres of diesel did she buy?Explanation of answer:Step 1: The first thing to do is look at the price of diesel, it is 119.9 cents per litre. We can round this amount to 120 cents per litre. As we are looking for an answer in dollars, we should convert the 120 cents to dollars. 120 cents would be $1.20Step 2: If 1 litre of diesel costs \$1.20, then 2 litres costs \$2.40 (double the litres, double the cost), and 3 litres costs \$3.60.Step 3: If we look back at the question, we can see that Bianca bought \$36 worth of diesel. We know that 3 litres costs \$3.60. If we multiply \$3.60 by 10, we get \$36 dollars, which is the amount Bianca bought. We must then multiply the 3 litres by 10 to get our answer. 3 L x 10 = 30 litres. Bianca bought roughly 30 litres of diesel.Step 4: The correct answer is – c) 30 L a) 10 L Refer to Explanation of Answer b) 25 L Refer to Explanation of Answer c) 30 L Correct Answer d) 38 L Refer to Explanation of Answer None Question 1. Fred used this tray to make muffins. If he filled the tray 3 times, how many muffins would Fred make? Explanation of Answer: Step 1: Look at the baking tray and count the amount of muffin holes. Step 2: The answer is 12 muffin holes. Step 3: The question asks if Fred fills the tray 3 times, how many muffins would he make. Step 4: This means you need to multiply 12 times 3 to get the total number of muffins. Step 5: The correct answer is – c) 36 muffins. a) 42 Refer to Explanation of Answer b) 28 Refer to Explanation of Answer c) 36 Correct Answer d) 45 Refer to Explanation of Answer None Question 2. The table below shows the attendance for the Perth Wildcats at Perth Arena from 2013 to 2016. The West Australian Newspaper reported the attendance rounded to the nearest thousand. In 2015, what attendance did the West Australian Newspaper report? Explanation of Answer: Step 1: The question asks you to look for the attendance in the 2015 season. Step 2: Look for the year – 2015 in the table and then across to the attendance figure. Step 3: The figure is 154,600. Step 4: The question says the We
