Numeracy (Questions 191 – 200)

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!

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Question 191.

Sally bought a new Hybrid car for its fuel efficiency.

On average her car uses 6 L per 100 km.

Last week Sally drove a total of 354 km.

The amount of fuel her car used last week is closest to:

Explanation of answer:

Step 1: If a car uses 6 L per 100 km, then for every subsequent 100 km travelled we should add another 6 L of fuel used. For example, 100 km = 6 L, 200 km = 12 L.

Step 2: The question states that Sally drove 354 km in a week. If we continue to use the same formula as above, then 300 km = 18 L used.

Step 3: As 54 km is roughly half of 100 km, then we can assume that she would use approximately half of the fuel required to drive 100 km. Half of 6 L is 3 L. Now all we have to do is add the 18 L + 3 L = 21 L

Step 4: Sally’s car has used approximately 21 L in driving 354 km last week.

Step 5: The correct answer is – b) 21 L

a) 18 L Refer to Explanation of Answer

b) 21 L Correct Answer

c) 24 L Refer to Explanation of Answer

d) 27 L Refer to Explanation of Answer

Question 192.

A personal trainer was instructing a client on how to perform a squat.

In those instructions it was said that the angle behind the knee joint should be small to achieve a deep squat.

Which of the following best describes the angle formed behind the knee joint in this picture?

Explanation of answer:

Step 1: A right angle should be at exactly 90°, the knee angle above is less than 90°.

Step 2: An obtuse angle is more than 90° and less than 180°, the knee angle above is less than that range.

Step 3: A reflex angle is more than 180° but less than 360°, again, the knee angle above is less than that range.

Step 4: An acute angle is less than 90°, the knee angle above matches this description and is the correct answer.

Step 5: The correct answer is – d) Acute angle

a) Right angle Refer to Explanation of Answer

b) Obtuse angle Refer to Explanation of Answer

c) Reflex angle Refer to Explanation of Answer

d) Acute angle Correct Answer

Question 193.

Asha has a gift-wrapping business that uses many different coloured ribbons when wrapping presents.

For one job, she needed 8 different coloured ribbons, each 5,500 mm long.

The cost of the ribbon is $2 per metre, how much did Asha pay?

Explanation of answer:

Step 1: We know that Asha needs 8 different types of ribbon. We will need to use this number as a multiplication later in our calculation.

Step 2: The ribbon is charged at $2 per metre. She buys ribbon in lengths of 5,500 mm. We need to covert that figure into metres. 1,000 mm = 1 m, so 5,500 mm = 5.5 m.

Step 3: We need to multiply \$2 by 5.5 m to get the cost of one ribbon. 2 x \$5.5 = \$11. One ribbon costs \$11.

Step 4: Since Asha has 8 ribbons, we need to multiply the 8 ribbons by \$11. 8 x \$11 = \$88

Step 5: The correct answer is – b) $88

a) $44 Refer to Explanation of Answer

b) $88 Correct Answer

c) $440 Refer to Explanation of Answer

d) $880 Refer to Explanation of Answer

Question 194.

Kayden owns a two-bedroom townhouse which has the following plan.

The unit has exterior and interior doors.

Excluding the garage door and cupboard doors, what is the total number of doors in Kayden’s plan?

Explanation of answer:

Step 1: The only way to answer this question is to count the number of doors on the plan.

Step 2: There is 1 door between the kitchen and garage, and 1 door to the pantry. There are 2 doors to the bathroom and laundry, 2 doors from the master bedroom to the walk-in-closet, 1 door to the master bedroom, 2 doors in bedroom 2 and 1 door to the porch.

Step 3: When we add all the doors together, we get 10 doors.

Step 4: The correct answer is – a) 10

a) 10 Correct Answer

b) 9 Refer to Explanation of Answer

c) 8 Refer to Explanation of Answer

d) 7 Refer to Explanation of Answer

Question 195.

Mercy was looking at the Australian Bureau of Statistics website and noticed that almost 500,000 people regularly took the train to work. Out of the total population that uses some type of transport to work, this equals 5% of the Australian population traveling to a workplace.

What is 5% expressed as a fraction?

Explanation of answer:

Step 1: In answering this question we need to know what a percentage is expressed as a fraction.

Step 2: 50% is expressed as ⁵⁰⁄₁₀₀ which is the same as ⁵⁄₁₀, 10% is expressed as ¹⁰⁄₁₀₀ which is the same as ¹⁄₁₀, and 1% is expressed as ¹⁄₁₀₀.

Step 3: 5% is therefore expressed as ⁵⁄₁₀₀.

Step 4: The correct answer is – c) ⁵⁄₁₀₀

a) ⁵⁄₁₀ Refer to Explanation of Answer

b) ¹⁄₅ Refer to Explanation of Answer

c) ⁵⁄₁₀₀ Correct Answer

d) ¹⁄₅₀ Refer to Explanation of Answer

Question 196.

An ice cream shop collected some data of people’s favourite ice cream purchases. The graph below shows the data they collected.

Which of the following statements is NOT true?

Explanation of answer:

Step 1: The question asks us to find the answer that is NOT true. So, we must go through all the answers to see which one is not true.

Step 2: a) “Just less than half of the people chose Cookies and Cream or Vanilla as their favourite ice cream” – This statement is true as the combined Vanilla and Cookies and Cream chart area is just less than half of the full area of the chart.

Step 3: b) “Cookies and Cream was less popular than Vanilla” – This statement is NOT true, as the chart area for Cookies and Cream was larger than the chart area for Vanilla, making it MORE popular.

Step 4: c) “Mint Choc Chip was the most popular ice cream” – This statement is true as the chart area for Mint Choc Chip is the largest of all the flavours.

Step 5: d) “More people chose Chocolate, than Strawberry, as their favourite ice cream” – This statement is true as the chart area for Chocolate is larger than the chart area for Strawberry.

Step 6) Going through these answers shows us that answer b) is the statement that is NOT true.

Step 6: The correct answer is – b) Cookies and Cream was less popular than Vanilla

a) Just less than half of the people chose Cookies and Cream or Vanilla as their favourite ice cream Refer to Explanation of Answer

b) Cookies and Cream was less popular than Vanilla Correct Answer

c) Mint Choc Chip was the most popular ice cream Refer to Explanation of Answer

d) More people chose chocolate, than Strawberry, as their favourite ice cream Refer to Explanation of Answer

Question 197.

Wyatt and Anton are playing a game of Battleship, a grid guessing game.

Anton has set up his ships in the format below. Wyatt has the first turn and calls out the first grid location of (E, 5) which is a miss.

On Wyatt’s second turn he calls out the next grid location of (C, 7). What ship does he hit?

Explanation of answer:

Step 1: The way to answer this question is to make sure you read the grid reference and ship key correctly.

Step 2: The grid reference of (C, 7) must be read in that order. Find the letter “C” on the left-hand side of the grid then track along that row until you find the number ”7” along the top columns. This grid reference indicates that a ship has been hit.

Step 3: This ship is a 5-hole ship, so when looking at the key on the right, this would indicate that the Carrier was hit.

Step 4: The correct answer is – a) Carrier

a) Carrier Correct Answer

b) Battleship Refer to Explanation of Answer

c) Submarine Refer to Explanation of Answer

d) Patrol Boat Refer to Explanation of Answer

Question 198.

Meadow’s family owns a pet pig. When they bought the pig, it weighed 30.3 kg. They weighed the pig two weeks later. It weighed 31.2 kg

How many grams did the pig gain over the two weeks?

Explanation of answer:

Step 1: We need to find the difference between the initial weight and the last recorded weight of the pig to find our answer.

Step 2: The initial weight was 30.3 kg. The latest recorded weight was 31.2 kg. To find the difference we subtract 30.3 kg from 31.2 kg. To make this easier we can remove the 30 kg from each total to find the difference. Doing this gives us: 1.2 kg and 0.3 kg. 1.2 kg – 0.3 kg = 0.9 kg.

Step 3: Even though we have found the answer, we need to convert to grams as this is what the question requires as an answer. We need to convert 0.9kg into grams. 1,000 g is 1 kg, 500 g is 0.5 kg and 100 g is 0.1 kg. So, 900 g is 0.9 kg.

Step 4: The correct answer is – c) 900 g

Question 199.

Peter owns a self-storage facility in an industrial area. He is creating new units that have floor dimensions of 3 m by 3 m. The total floor space available for storage units is 540 m²

What is the largest number of units he can create?

Explanation of answer:

Step 1: First we need to calculate the floor area (number of m²) of each unit. We are told the unit dimensions are 3 m by 3 m. 3 x 3 is 9, so we have 9 m² of floor space per unit.

Step 2: Peter has a total of 540m² floor space to create these units. We need to divide that total floor space by the space of one unit. So, 540m² divided by 9m². We can make this calculation a bit easier by dropping the zero from the 540 then adding it onto the end of the answer. 54 ÷ 9 = 6. We add the zero on the end of the 6 to give 60.

Step 3: We have found that Peter can create 60 units of storage from his total of 540m² of floor space.

Step 4: The correct answer is – a) 60

a) 60 Correct Answer

b) 54 Refer to Explanation of Answer

c) 36 Refer to Explanation of Answer

d) 27 Refer to Explanation of Answer

Question 200.

This picture is from a car fuel gauge. This gauge shows how much petrol is left in the petrol tank.

The tank can hold 60 litres of petrol when full.

Estimate how much fuel is left in the petrol tank.

Explanation of answer:

Step 1: To find the answer for this question, we must understand that a fuel gauge is divided into quarters. In this picture the needle is pointing to the last quarter (before empty) mark. This would be represented as ¹⁄₄ as a fraction.

Step 2: The tank holds 60 Litres of petrol. A quarter can be found by halving a half. So, a half of 60 is 30 and a half of 30 is 15. So, the volume of fuel remaining in the tank is equal to ¹⁄₄ of the total tank volume, and this is 15 Litres.

Step 3: The correct answer is – d) 15 L

a) 60 L Refer to Explanation of Answer

b) 45 L Refer to Explanation of Answer

c) 30 L Refer to Explanation of Answer

d) 15 L Correct Answer