Hearthprep

13+ Maths Entrance Examination

Past Paper — Practice

Time allowed: 60 minutesTotal marks: 50Questions: 5

Instructions

• Answer ALL questions.
• Show your working where required — marks may be awarded for method.
• Write your answers clearly in the spaces provided.
• You may NOT use a calculator unless stated otherwise.
• Check your work if you finish early.

1. Express 0.36̇ (0.3666...) as a fraction in its simplest form.

[3 marks]

Answer:

Working:

2. The sum of three consecutive odd numbers is 87. What is the largest of the three numbers?

[3 marks]

Answer:

Working:

3. A cube has surface area 294 cm². What is its volume?

[3 marks]

A343 cm³

B216 cm³

C512 cm³

D125 cm³

4. Solve the simultaneous equations: 2x + 3y = 16 5x − 3y = 5

[4 marks]

Answer:

Working:

5. A train travels at 90 km/h. A car travels at 75 km/h. Both start from the same point at the same time travelling in the same direction. After how many minutes will they be 5 km apart?

[3 marks]

Answer:

Working:

— End of Paper —

Worked solutions are in the Answer Book (paid).