## UTME Mathematics Questions and Answers

Here are 20 UTME (Unified Tertiary Matriculation Examination) mathematics questions with options and the correct answers indicated:

What is the value of x in the equation 3x + 7 = 22?

a) 5

b) 8

c) 9

d) 15

Correct answer: b) 8

Simplify the expression: (2 + 3) × (4 − 1) ÷ 5.

a) 2

b) 3

c) 4

d) 5

Correct answer: b) 3

If a car travels at a speed of 60 km/h, how long will it take to cover a distance of 240 km?

a) 2 hours

b) 3 hours

c) 4 hours

d) 5 hours

Correct answer: c) 4 hours

Solve for x: 2x − 5 = 13.

a) 7

b) 9

c) 12

d) 14

Correct answer: a) 7

What is the square root of 169?

a) 10

b) 11

c) 12

d) 13

Correct answer: d) 13

The sum of two angles in a triangle is 90 degrees. If one angle is 45 degrees, what is the measure of the other angle?

a) 30 degrees

b) 45 degrees

c) 60 degrees

d) 90 degrees

Correct answer: c) 60 degrees

A rectangle has a length of 12 cm and a width of 8 cm. What is its perimeter?

a) 24 cm

b) 32 cm

c) 48 cm

d) 64 cm

Correct answer: b) 32 cm

If a quarter of a number is 15, what is the number?

a) 30

b) 45

c) 55

d) 60

Correct answer: d) 60

Solve for x: 5x − 2 = 3x + 10.

a) 4

b) 6

c) 8

d) 12

Correct answer: b) 6

If the ratio of boys to girls in a class is 3:5 and there are 24 students in total, how many girls are in the class?

a) 9

b) 12

c) 15

d) 18

Correct answer: b) 12

What is the circumference of a circle with a radius of 5 cm?

a) 10π cm

b) 15π cm

c) 20π cm

d) 25π cm

Correct answer: c) 20π cm

If 20% of a number is 30, what is the number?

a) 100

b) 125

c) 150

d) 200

Correct answer: d) 200

Solve for x: 2x + 3 = 5x − 6.

a) -3

b) -2

c) 2

d) 3

Correct answer: d) 3

Find the value of 3! (factorial).

a) 3

b) 6

c) 9

d) 12

Correct answer: b) 6

In a geometric progression, the first term is 3 and the common ratio is 2. What is the fourth term?

a) 6

b) 12

c) 24

d) 48

Correct answer: c) 24

Solve the inequality: 2x + 5 < 15.

a) x < 5

b) x > 5

c) x < 10

d) x > 10

Correct answer: a) x < 5

If sinθ = 0.6, what is cosθ?

a) 0.4

b) 0.6

c) 0.8

d) 1.0

Correct answer: c) 0.8

Solve for x: log2(x) = 4.

a) 8

b) 12

c) 16

d) 32

Correct answer: c) 16

If 20% of a number is equal to 25, what is 30% of the same number?

a) 25

b) 30

c) 35

d) 45

Correct answer: c) 35

If the exterior angles of a polygon are each 36 degrees, how many sides does the polygon have?

a) 5

b) 6

c) 7

d) 8

Correct answer: b) 6

I hope these questions help you in your preparation for the UTME mathematics section!

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