KS2 SATs KS2 Mathematics 6 — Questions and Answers
Question 1: In a pie chart, one sector represents 90°. What percentage of the whole does it represent?
- 25% (Correct answer)
- 30%
- 45%
- 90%
Correct answer: 25%
A full circle = 360°. 90° ÷ 360° = 0.25 = 25%. A 90° sector represents one quarter (25%) of the whole circle.
Question 2: What is the next term in the sequence: 3, 7, 11, 15, ___?
- 18
- 19 (Correct answer)
- 20
- 21
Correct answer: 19
The sequence increases by 4 each time (arithmetic sequence with common difference 4). 15 + 4 = 19.
Question 3: A car travels at 60 km/h. How far does it travel in 2.5 hours?
- 120 km
- 130 km
- 150 km (Correct answer)
- 160 km
Correct answer: 150 km
Distance = speed × time = 60 × 2.5 = 150 km. 60 × 2 = 120, 60 × 0.5 = 30, total = 150 km.
Question 4: What is the missing angle in a triangle if the other two angles are 65° and 75°?
- 30°
- 40° (Correct answer)
- 45°
- 50°
Correct answer: 40°
Angles in a triangle sum to 180°. 65° + 75° = 140°. 180° − 140° = 40°. The missing angle is 40°.
Question 5: Write 72 as a product of its prime factors.
- 2 × 3 × 12
- 2³ × 3² (Correct answer)
- 2² × 18
- 4 × 18
Correct answer: 2³ × 3²
72 = 2 × 36 = 2 × 2 × 18 = 2 × 2 × 2 × 9 = 2 × 2 × 2 × 3 × 3 = 2³ × 3². Using a factor tree confirms this.
Question 6: A shop sells 3 pens for £1.20. How much would 8 pens cost?
- £2.80
- £3.20 (Correct answer)
- £3.60
- £2.40
Correct answer: £3.20
Cost of 1 pen = £1.20 ÷ 3 = £0.40. Cost of 8 pens = 8 × £0.40 = £3.20.
In a pie chart, one sector represents 90°.
What percentage of the whole does it represent?