📝 Grade 5 Practice Paper 1

Non-Calculator  |  Cambridge Primary Stage 5 Style

⏱ 45 Minutes
✏️ 40 Marks
🚫 No Calculator
📋 25 Questions
45:00
Click timer to start

Section A — Number & Place Value (12 marks)

Q11 mark

Write the value of the digit 7 in the number 372,461.

✅ 70,000 (the 7 is in the ten-thousands column)
Q21 mark

Round 84,736 to the nearest thousand.

✅ 85,000
Q31 mark

Write these numbers in order from smallest to largest:
−8, 3, −2, 5, −5, 0

Write the largest number only.

✅ 5
Q42 marks

Calculate: 46,827 + 35,694

✅ 82,521
Q52 marks

Calculate: 73,200 − 28,547

✅ 44,653
Q62 marks

Calculate: 347 × 24

✅ 8,328
Q72 marks

Calculate: 952 ÷ 8

✅ 119
Q81 mark

List all the factors of 36.

How many factors does 36 have?

✅ 9 factors: 1, 2, 3, 4, 6, 9, 12, 18, 36

Section B — Fractions, Decimals & Percentages (10 marks)

Q91 mark

Simplify the fraction 18/24 to its lowest terms. Write the numerator.

✅ 3/4
Q102 marks

Calculate: 2³⁄₅ + 1²⁄₅

✅ 4 (2³⁄₅ + 1²⁄₅ = 3⁵⁄₅ = 3 + 1 = 4)
Q111 mark

Write 0.75 as a percentage.

✅ 75%
Q122 marks

Find 35% of 240.

✅ 84 (10% = 24, 30% = 72, 5% = 12, 35% = 84)
Q132 marks

Order these from smallest to largest: ¾, 0.7, 72%, ⅔

Write the second value in the ordered list as a decimal.

✅ Order: ⅔≈0.667, 0.7, 72%=0.72, ¾=0.75. Second value = 0.7
Q142 marks

A shop reduces a £45 jacket by 20%. What is the sale price?

✅ £36 (20% of 45 = 9, 45 − 9 = 36)

Section C — Geometry & Measures (12 marks)

Q151 mark

A triangle has angles of 65° and 48°. Find the third angle.

✅ 67° (180 − 65 − 48 = 67)
Q162 marks

A rectangle has length 13 cm and width 8 cm.

(a) Find the perimeter.

(b) Find the area.

✅ (a) 42 cm   (b) 104 cm²
Q172 marks

A triangle has base 10 cm and height 7 cm. Find its area.

✅ 35 cm² (½ × 10 × 7 = 35)
Q182 marks

A cuboid has length 8 cm, width 5 cm and height 3 cm. Find its volume.

✅ 120 cm³ (8 × 5 × 3)
Q192 marks

Convert 3.5 km to metres.

Convert 2750 g to kg.

✅ 3500 m   2.75 kg
Q203 marks

An L-shaped room is made of two rectangles.
Rectangle 1: 6 m × 4 m. Rectangle 2: 3 m × 2 m.

Find the total area of the room.

✅ 30 m² (6×4 = 24, 3×2 = 6, total = 30)

Section D — Data & Statistics (6 marks)

Q211 mark

The heights of 5 students (cm): 145, 152, 148, 160, 145.
Find the mode.

✅ 145 cm (appears twice)
Q222 marks

Data: 12, 7, 15, 9, 7, 14, 8
Find: (a) the median and (b) the range.

✅ Sorted: 7,7,8,9,12,14,15. (a) Median = 9   (b) Range = 15−7 = 8
Q231 mark

A bag has 4 red, 3 blue and 3 green counters. One is picked at random.
Find P(blue) as a fraction. Write the numerator (denominator is 10).

✅ 3/10
Q242 marks

The mean of 5 numbers is 12. Four of the numbers are: 8, 15, 11, 14.
Find the fifth number.

✅ Sum = 5×12 = 60. 8+15+11+14 = 48. Fifth = 60−48 = 12
Q250 marks — Challenge

★ A bus departs at 08:25 and arrives at 11:10. A second bus takes 30 minutes less.
How long does the second bus journey take? Give your answer in minutes.

✅ First bus: 2h 45m = 165 min. Second bus: 165−30 = 135 minutes

Section A (Number): /12

Section B (Fractions): /10

Section C (Geometry): /12

Section D (Data): /6