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JAMB UTME Mathematics 2001 past questions and answers

This 2001 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 2001 set with instant marking.

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Sample JAMB UTME Mathematics 2001 questions

1. What is 243 in base five expressed in base ten?
  1. 73
  2. 68
  3. 83
  4. 123

Answer: A. 73

243 in base five equals 2(25) + 4(5) + 3 = 73 in base ten.

2. Evaluate 3/4 - (1/3 ÷ 2/5).
  1. 1/12
  2. -1/12
  3. 7/12
  4. -7/12

Answer: B. -1/12

Since 1/3 ÷ 2/5 = 5/6, the difference is 3/4 - 5/6 = -1/12.

3. If log10 x + log10 4 = 2, what is x?
  1. 10
  2. 20
  3. 25
  4. 40

Answer: C. 25

Combining the logarithms gives log10(4x) = 2, so 4x = 100 and x = 25.

4. In a class of 32 students, 19 study Biology, 17 study Chemistry and 8 study both; how many study neither subject?
  1. 2
  2. 3
  3. 5
  4. 4

Answer: D. 4

The number studying at least one subject is 19 + 17 - 8 = 28, leaving 32 - 28 = 4.

5. Solve 3(2x - 1) - 2(x + 4) = 9.
  1. 5
  2. 4
  3. 6
  4. 3

Answer: A. 5

Expanding gives 4x - 11 = 9, hence x = 5.

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