GCSE GCSE Mathematics 2

Question 1

What is the sum of interior angles of a pentagon?

Accepted Answer

540°

Answer

The sum of interior angles of a polygon = (n − 2) × 180°, where n is the number of sides. For a pentagon: (5 − 2) × 180° = 3 × 180° = 540°.

Question 2

A car is bought for £8,000 and depreciates by 20% in the first year. What is its value after one year?

Accepted Answer

£6,400

Answer

20% of £8,000 = £1,600. Value after depreciation = £8,000 − £1,600 = £6,400. Alternatively: 80% × £8,000 = 0.8 × £8,000 = £6,400.

Question 3

Solve the simultaneous equations: x + y = 7 and x − y = 3

Accepted Answer

x = 5, y = 2

Answer

Add the equations: 2x = 10, so x = 5. Substitute: 5 + y = 7, so y = 2. Check: 5 − 2 = 3 ✓.

Question 4

What is the Pythagorean theorem?

Accepted Answer

a² + b² = c²

Answer

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (c, the longest side) equals the sum of the squares of the other two sides: a² + b² = c².

Question 5

Write 0.000325 in standard form.

Accepted Answer

3.25 × 10⁻⁴

Answer

Standard form is a × 10ⁿ where 1 ≤ a < 10. Move the decimal point 4 places to the right to get 3.25, so 0.000325 = 3.25 × 10⁻⁴.

GCSE Revision Practice Test

GCSE Revision Practice Test

GCSE GCSE Mathematics 2