LLN - Language Literacy and Numeracy Numeracy and Problem Solving Questions and Answers 1 — Questions and Answers
Question 1: A painter needs to mix blue and white paint in a ratio of 3:2 to create a specific shade of light blue. If they need to make a total of 40 litres of light blue paint, how many litres of blue paint are required?
- 16 litres
- 24 litres (Correct answer)
- 20 litres
- 30 litres
Correct answer: 24 litres
The ratio 3:2 means there are 3+2=5 parts in total. To find the amount for one part, divide the total volume by the total number of parts: 40 litres / 5 parts = 8 litres per part. The amount of blue paint is 3 parts, so 3 parts * 8 litres/part = 24 litres.
Question 2: A construction site has a rectangular safety zone that measures 15.5 metres by 8 metres. What is the total area of the safety zone in square metres?
- 124 square metres (Correct answer)
- 47 square metres
- 112.5 square metres
- 120 square metres
Correct answer: 124 square metres
The area of a rectangle is calculated by multiplying its length by its width. In this case, Area = 15.5 metres * 8 metres = 124 square metres.
Question 3: An invoice for a total of $450 has a 10% Goods and Services Tax (GST) included in the price. Which of the following is the correct calculation to find the original price before the GST was added?
- $450 * 0.10
- $450 / 1.10 (Correct answer)
- $450 * 1.10
- $450 - 10
Correct answer: $450 / 1.10
The total price ($450) represents 110% of the original price (100% original + 10% GST). To find the original price, you need to divide the total amount by 1.10.
Question 4: A landscaper charges a $50 call-out fee plus $35 per hour for their services. If a job takes 4.5 hours to complete, what will be the total charge?
- $157.50
- $200.00
- $207.50 (Correct answer)
- $242.50
Correct answer: $207.50
First, calculate the cost for the hours worked: $35/hour * 4.5 hours = $157.50. Then, add the fixed call-out fee: $157.50 + $50 = $207.50.
Question 5: A factory produces 1,200 units per day. If 5% of the units are found to be defective, how many units are NOT defective?
- 60 units
- 1,140 units (Correct answer)
- 1,195 units
- 600 units
Correct answer: 1,140 units
First, find the number of defective units: 1,200 * 0.05 = 60 units. Then, subtract the defective units from the total: 1,200 - 60 = 1,140 units. Alternatively, if 5% are defective, then 95% are not. 1,200 * 0.95 = 1,140 units.
Question 6: A worker needs to cut a 3.6-metre pipe into smaller pieces that are each 40 centimetres long. What is the maximum number of full pieces they can cut?
- 8
- 10
- 9 (Correct answer)
- 14
Correct answer: 9
First, ensure both measurements are in the same unit. Convert the pipe length to centimetres: 3.6 metres * 100 cm/metre = 360 cm. Then, divide the total length by the length of each piece: 360 cm / 40 cm/piece = 9 pieces.
LLN - Language Literacy and Numeracy Numeracy and Problem Solving Questions and Answers 1
A painter needs to mix blue and white paint in a ratio of 3:2 to create a specific shade of light blue.
If they need to make a total of 40 litres of light blue paint, how many litres of blue paint are required?