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NECO SSCE Mathematics 2010 past questions and answers

This 2010 NECO SSCE 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 2010 set with instant marking.

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Sample NECO SSCE Mathematics 2010 questions

1. A bag contains 4 red balls and 3 blue balls; two balls are drawn at random without replacement, so what is the probability that both are blue?
  1. 1/7
  2. 2/7
  3. 1/3
  4. 1/2

Answer: A. 1/7

The probability is (3/7)(2/6) = 1/7.

2. The mean of 8, 10, x and 14 is 12; what is x?
  1. 14
  2. 16
  3. 18
  4. 20

Answer: B. 16

The four numbers must total 48, so x = 48 - (8 + 10 + 14) = 16.

3. If vector a = (3, -2) and vector b = (-1, 5), what is a + b?
  1. (4, 3)
  2. (2, -7)
  3. (2, 3)
  4. (-4, 7)

Answer: C. (2, 3)

Add corresponding components to obtain (3 - 1, -2 + 5) = (2, 3).

4. What is the determinant of the matrix [[2, 3], [1, 4]]?
  1. 3
  2. 8
  3. 11
  4. 5

Answer: D. 5

The determinant is (2 x 4) - (3 x 1) = 5.

5. The point (2, -3) is reflected in the line y = x; what are its new coordinates?
  1. (-3, 2)
  2. (3, -2)
  3. (-2, 3)
  4. (2, 3)

Answer: A. (-3, 2)

Reflection in y = x interchanges the x- and y-coordinates, giving (-3, 2).

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