LLN - Language Literacy and Numeracy Numeracy and Problem Solving 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?

Accepted Answer

24 litres

Answer

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?

Accepted Answer

124 square metres

Answer

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?

Accepted Answer

$450 / 1.10

Answer

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?

Accepted Answer

$207.50

Answer

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?

Accepted Answer

1,140 units

Answer

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.

(LLN) Language Literacy and Numeracy Test Practice Test

(LLN) Language Literacy and Numeracy Test Practice Test

LLN - Language Literacy and Numeracy Numeracy and Problem Solving Questions and Answers