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NECO SSCE Mathematics 2005 past questions and answers

This 2005 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 2005 set with instant marking.

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Sample NECO SSCE Mathematics 2005 questions

1. If 4^(x+1) = 8^(x-1), what is the value of x?
  1. 3
  2. 4
  3. 5
  4. 6

Answer: C. 5

Writing both sides as powers of 2 gives 2x + 2 = 3x - 3, so x = 5.

2. Evaluate log_3(81) - log_3(3).
  1. 2
  2. 3
  3. 4
  4. 5

Answer: B. 3

Since 81 = 3^4, the expression is 4 - 1 = 3.

3. Simplify sqrt(50) - sqrt(8).
  1. 3sqrt(2)
  2. 7sqrt(2)
  3. sqrt(42)
  4. 3sqrt(6)

Answer: A. 3sqrt(2)

The terms simplify to 5sqrt(2) and 2sqrt(2), whose difference is 3sqrt(2).

4. In a class of 45 students, 28 play football, 22 play volleyball and 12 play both games; how many play neither game?
  1. 5
  2. 6
  3. 8
  4. 7

Answer: D. 7

The number playing at least one game is 28 + 22 - 12 = 38, leaving 45 - 38 = 7.

5. An arithmetic sequence begins 7, 11, 15, ...; what is its 15th term?
  1. 63
  2. 59
  3. 67
  4. 61

Answer: A. 63

The common difference is 4, so the 15th term is 7 + 14(4) = 63.

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