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# UTME Mathematics Questions and Answers

## 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

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

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

Solve for x: 2x − 5 = 13.
a) 7
b) 9
c) 12
d) 14

What is the square root of 169?
a) 10
b) 11
c) 12
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

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

If a quarter of a number is 15, what is the number?
a) 30
b) 45
c) 55
d) 60

Solve for x: 5x − 2 = 3x + 10.
a) 4
b) 6
c) 8
d) 12

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

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

If 20% of a number is 30, what is the number?
a) 100
b) 125
c) 150
d) 200

Solve for x: 2x + 3 = 5x − 6.
a) -3
b) -2
c) 2
d) 3

Find the value of 3! (factorial).
a) 3
b) 6
c) 9
d) 12

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

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

Solve for x: log2(x) = 4.
a) 8
b) 12
c) 16
d) 32

If 20% of a number is equal to 25, what is 30% of the same number?
a) 25
b) 30
c) 35
d) 45