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

Answer: b) 81

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

Answer: c) 8

What is the value of 1/5 as a decimal?

a) 0.15

b) 0.25

c) 0.5

d) 0.2

Answer: 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

Answer: a) 1/3

Find the product of 7 and 8.

a) 15

b) 56

c) 64

d) 48

Answer: b) 56

Express 3/5 as a percentage.

a) 30%

b) 60%

c) 75%

d) 150%

Answer: a) 60%

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

Answer: a) 200

Find the area of a square with a diagonal of 10 cm.

a) 50 cm²

b) 25 cm²

c) 100 cm²

d) 75 cm²

Answer: b) 25 cm²