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JAMB UTME Mathematics 2024 past questions and answers

This 2024 JAMB UTME Mathematics set has 40 practice questions. Try these 5 free sample questions, tap a question to reveal the answer and explanation. Then practise the whole 2024 set with instant marking.

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Sample JAMB UTME Mathematics 2024 questions

1. If a = (2, -1) and b = (-1, 3), what is 2a + b?
  1. (3, 1)
  2. (3, 5)
  3. (5, 1)
  4. (5, -1)

Answer: A. (3, 1)

2a + b = (4, -2) + (-1, 3) = (3, 1).

2. What is the midpoint of the line segment joining (-3, 4) and (5, -2)?
  1. (4, 1)
  2. (1, 1)
  3. (1, 3)
  4. (-1, 1)

Answer: B. (1, 1)

The midpoint is ((-3 + 5)/2, (4 - 2)/2) = (1, 1).

3. What is the gradient of the line through (2, 1) and (6, 9)?
  1. 1/2
  2. 1
  3. 2
  4. 4

Answer: C. 2

The gradient is (9 - 1)/(6 - 2) = 8/4 = 2.

4. Which equation represents a circle with centre (2, -1) and radius 3?
  1. (x + 2)^2 + (y - 1)^2 = 9
  2. (x - 2)^2 + (y + 1)^2 = 3
  3. (x + 2)^2 + (y + 1)^2 = 9
  4. (x - 2)^2 + (y + 1)^2 = 9

Answer: D. (x - 2)^2 + (y + 1)^2 = 9

A circle with centre (h, k) and radius r has equation (x - h)^2 + (y - k)^2 = r^2.

5. If f(x) = 3x^2 - 4x + 7, what is f'(2)?
  1. 8
  2. 10
  3. 12
  4. 16

Answer: A. 8

Since f'(x) = 6x - 4, f'(2) = 12 - 4 = 8.

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