LLN Mathematical Problem Solving 2 — Questions and Answers

Question 1: A construction job requires 240 bricks. Each pallet holds 48 bricks. How many full pallets are needed?

4
5 (Correct answer)
6
3

Correct answer: 5

240 divided by 48 = 5 pallets exactly.

Dividing 240 by 48 gives exactly 5, meaning 5 full pallets are required with no bricks left over. Division is a fundamental numeracy skill used regularly on Australian construction sites when ordering materials.

Question 2: A worker earns $27.50 per hour and works 38 hours this week. What is their gross pay?

$1,025.00
$1,045.00 (Correct answer)
$985.00
$1,075.00

Correct answer: $1,045.00

$27.50 x 38 = $1,045.00.

Multiplying $27.50 by 38 hours: 27.50 x 38 = 1,100 - 55 = $1,045.00. This type of pay calculation is relevant to understanding pay slips and Fair Work entitlements in Australian workplaces.

Question 3: A recipe serves 8 people and uses 400g of flour. To serve 20 people, how much flour is needed?

800g
1,000g (Correct answer)
1,200g
1,600g

Correct answer: 1,000g

Scale factor = 20 divided by 8 = 2.5. Flour = 400g x 2.5 = 1,000g.

To scale a recipe, divide the desired number of servings by the original: 20 divided by 8 = 2.5. Multiply each ingredient by this factor: 400g x 2.5 = 1,000g. Scaling recipes is a practical skill in hospitality and catering industries across Australia.

Question 4: A petrol bowser shows $78.40 for 56 litres. What is the cost per litre?

$1.35
$1.40 (Correct answer)
$1.45
$1.50

Correct answer: $1.40

$78.40 divided by 56 = $1.40 per litre.

Dividing $78.40 by 56 litres gives $1.40 per litre. Understanding unit pricing is a key numeracy skill for Australian consumers and workers in transport and logistics industries who need to track fuel costs accurately.

Question 5: A rectangular storage room measures 8m by 5m. What is its area?

26 m2
40 m2 (Correct answer)
13 m2
32 m2

Correct answer: 40 m2

Area = length x width = 8 x 5 = 40 m2.

The area of a rectangle is calculated by multiplying its length by its width: 8m x 5m = 40 m2. This is a standard measurement skill used in construction, warehousing, and facilities management contexts in Australia.

Question 6: A worker drove 3/4 of the distance to a site before stopping. If the full distance is 120 km, how far had they driven?

80 km
90 km (Correct answer)
100 km
75 km

Correct answer: 90 km

3/4 x 120 = 90 km.

To find three-quarters of 120 km: (3 divided by 4) x 120 = 0.75 x 120 = 90 km. Working with fractions and proportions is an essential numeracy skill, particularly for logistics and transport workers estimating travel distances in Australia.

LLN Mathematical Problem Solving 2

A construction job requires 240 bricks.
Each pallet holds 48 bricks.
How many full pallets are needed?