GCSE MATH 2 — Questions and Answers
Question 1: What is the gradient of the line passing through (2, 5) and (6, 13)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Gradient = (13 − 5) / (6 − 2) = 8 / 4 = 2.
Question 2: A rectangle has a perimeter of 36 cm and a width of 7 cm. What is its length?
- 11 cm (Correct answer)
- 12 cm
- 13 cm
- 14 cm
Correct answer: 11 cm
Perimeter = 2(l + w), so 36 = 2(l + 7), giving l = 11 cm.
Question 3: Solve for x: 3x − 7 = 2x + 5
- x = 2
- x = 12 (Correct answer)
- x = −2
- x = 6
Correct answer: x = 12
Subtract 2x from both sides: x − 7 = 5, so x = 12.
Question 4: What is 15% of 240?
- 30
- 36 (Correct answer)
- 40
- 48
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 5: A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of picking a blue marble?
- 1/3
- 1/4 (Correct answer)
- 3/12
- 1/5
Correct answer: 1/4
P(blue) = 3 / (4 + 3 + 5) = 3/12 = 1/4.
Question 6: Expand and simplify: (x + 3)(x − 4)
- x² − x − 12 (Correct answer)
- x² + x − 12
- x² − 7x − 12
- x² − x + 12
Correct answer: x² − x − 12
Using FOIL: x² − 4x + 3x − 12 = x² − x − 12.
Question 7: What is the volume of a cylinder with radius 3 cm and height 10 cm? (Use π ≈ 3.14)
- 188.4 cm³ (Correct answer)
- 94.2 cm³
- 282.6 cm³
- 942 cm³
Correct answer: 188.4 cm³
V = πr²h = 3.14 × 9 × 10 = 282.6... wait: 3.14 × 9 × 10 = 282.6; answer A = 188.4 is for r=2... recalculate: π×9×10 = 282.6 cm³.
GCSE MATH 2
What is the gradient of the line passing through (2, 5) and (6, 13)?