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JAMB UTME Mathematics 2020 past questions and answers

This 2020 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 2020 set with instant marking.

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Sample JAMB UTME Mathematics 2020 questions

1. A cylindrical tank has radius 7 cm and height 10 cm. Find its volume, taking pi = 22/7.
  1. 1,320 cm^3
  2. 3,080 cm^3
  3. 1,650 cm^3
  4. 1,540 cm^3

Answer: D. 1,540 cm^3

The volume is pi r^2 h = (22/7)(7^2)(10) = 1,540 cm^3.

2. A rectangular field measures 24 m by 18 m. A path 2 m wide runs inside all around its boundary. What is the area of the path?
  1. 152 m^2
  2. 160 m^2
  3. 168 m^2
  4. 176 m^2

Answer: A. 152 m^2

The inner rectangle is 20 m by 14 m, so the path area is 24(18) - 20(14) = 152 m^2.

3. The curved surface area of a cone of radius 6 cm is 60pi cm^2. Find its vertical height.
  1. 8 cm
  2. 9 cm
  3. 10 cm
  4. 12 cm

Answer: A. 8 cm

The slant height is 60/6 = 10 cm, so the height is sqrt(10^2 - 6^2) = 8 cm.

4. A sector of a circle of radius 14 cm subtends an angle of 90 degrees at the centre. Find its perimeter, using pi = 22/7.
  1. 44 cm
  2. 56 cm
  3. 52 cm
  4. 50 cm

Answer: D. 50 cm

Its arc length is one quarter of 2pi(14), or 22 cm, and its perimeter is 22 + 14 + 14 = 50 cm.

5. A sphere has radius 3 cm. Find its volume in terms of pi.
  1. 12pi cm^3
  2. 24pi cm^3
  3. 48pi cm^3
  4. 36pi cm^3

Answer: D. 36pi cm^3

The volume is (4/3)pi(3^3) = 36pi cm^3.

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