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# Further Mathematics post UTME past questions and answers

## Further Mathematics post UTME past questions and answers

Here they are;

If a car travels at a constant speed of 80 km/h for 2.5 hours, how far does it travel?
a) 160 km
b) 100 km
c) 200 km
d) 250 km
Answer: a) 200 km

Simplify the expression: 5(x - 3) + 2x.
a) 7x - 15
b) 7x - 3
c) 5x - 15
d) 7x + 15
Answer: a) 7x - 15

What is the square of 9?
a) 18
b) 81
c) 27
d) 72

Solve for z: 2z/4 = 3.
a) z = 1.5
b) z = 6
c) z = 12
d) z = 0.75
Answer: a) z = 1.5

Calculate the volume of a cube with side length 4 cm.
a) 8 cm³
b) 16 cm³
c) 32 cm³
d) 64 cm³
Answer: b) 64 cm³

If a rectangle has a perimeter of 22 cm and one side is 5 cm, what is the length of the other side?
a) 4 cm
b) 6 cm
c) 8 cm
d) 10 cm
Answer: b) 6 cm

Find the value of 5² - 3³.
a) 10
b) -34
c) 8
d) -17

What is the value of 1/5 as a decimal?
a) 0.15
b) 0.25
c) 0.5
d) 0.2

Solve the equation: 4y + 9 = 25.
a) y = 4
b) y = 5
c) y = 4.5
d) y = 6
Answer: b) y = 4

Calculate the area of a triangle with base 10 cm and height 12 cm.
a) 60 cm²
b) 120 cm²
c) 72 cm²
d) 140 cm²
Answer: a) 60 cm²

If a box contains 3 red balls, 2 green balls, and 4 blue balls, what is the probability of drawing a green ball?
a) 1/3
b) 1/4
c) 1/5
d) 1/9

Find the product of 7 and 8.
a) 15
b) 56
c) 64
d) 48

Express 3/5 as a percentage.
a) 30%
b) 60%
c) 75%
d) 150%

What is the sum of the interior angles of a triangle?
a) 90 degrees
b) 180 degrees
c) 360 degrees
d) 270 degrees
Answer: b) 180 degrees

Solve for x: 2x/3 = 8.
a) x = 3
b) x = 6
c) x = 12
d) x = 24
Answer: b) x = 12

Calculate the circumference of a circle with a radius of 7 cm. (Use π ≈ 3.14)
a) 21.98 cm
b) 43.96 cm
c) 44 cm
d) 22 cm
Answer: c) 44 cm

If a triangle has two angles of 45 degrees each, what is the measure of the third angle?
a) 45 degrees
b) 90 degrees
c) 30 degrees
d) 60 degrees
Answer: b) 90 degrees

Solve the equation: 3z - 7 = 20.
a) z = 9
b) z = 12
c) z = 11
d) z = 27
Answer: a) z = 9

If 15% of a number is 30, what is the number?
a) 100
b) 150
c) 200
d) 250