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JAMB UTME Mathematics 2011 past questions and answers

This 2011 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 2011 set with instant marking.

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Sample JAMB UTME Mathematics 2011 questions

1. Find the midpoint of the line segment joining (-2, 5) and (6, -1).
  1. (4, 2)
  2. (2, 3)
  3. (2, 2)
  4. (1, 2)

Answer: C. (2, 2)

The midpoint is ((-2 + 6)/2, (5 + (-1))/2) = (2, 2).

2. If a = (2, -1) and b = (-3, 4), find 2a + b.
  1. (1, 2)
  2. (7, -6)
  3. (-1, 2)
  4. (1, -2)

Answer: A. (1, 2)

Twice a is (4, -2), and adding b gives (4 - 3, -2 + 4) = (1, 2).

3. At what point does the line y = 2x - 5 cross the y = 3 line?
  1. (3, 1)
  2. (2, -1)
  3. (1, -3)
  4. (4, 3)

Answer: D. (4, 3)

Setting y to 3 gives 3 = 2x - 5, so x = 4 and the intersection is (4, 3).

4. Find the area of a triangle with sides 5 cm and 7 cm enclosing an angle of 60 degrees.
  1. 35/2 cm^2
  2. 35sqrt(3)/4 cm^2
  3. 35sqrt(3)/2 cm^2
  4. 35/4 cm^2

Answer: B. 35sqrt(3)/4 cm^2

The area is (1/2)(5)(7)sin(60 degrees) = 35sqrt(3)/4 cm^2.

5. Find the median of 3, 5, 5, 7, 10.
  1. 4
  2. 5
  3. 6
  4. 7

Answer: B. 5

The middle value in the ordered list of five observations is 5.

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