Mathematics Past Questions FUTA Post UTME

Welcome to Mathematics Past Questions – FUTA Post UTME.

Are you preparing for the FUTA Post-UTME screening examination? Test your knowledge with these Mathematics Past Questions for FUTA Post UTME, designed to help you improve your speed, accuracy, problem-solving skills, and overall examination readiness.

Start your Mathematics practice today and prepare yourself for success in the FUTA Post-UTME screening examination!

If a function is defined by f(x +1) = 3x2 - x +4 Find f(0).

(A) 4

(B) 8

(D) 6

At what value of x does the function y = -3x + 2x + x2 attain a minimum value?

(A) 4

(B) -4

(D) 1/2

A solid cylinder of radius 3cm has a total surface area of 367 cm2, Find its height.

(A) 3cm

(B) 2cm

(D) 5cm

If it is given that 5x+1 + 5x = 150, then the value of x is equal to

(A) 1.5

(B) 1

(D) 2

Divide the L. C. M of 48, 64 and 80 by their H. C. F.

(A) 48

(B) 30

(D) 60

If 5(x+2y) = 5 and 4(x+3y) = 16, find 3(x+y)

(A) 7

(B) 1

(D) 2

An open rectangular box externally measures 4m x3m x4m. Find the cost of painting the box externally if its cost #2.00 to paint one square metre

(A) ₦112.00

(B) ₦113.00

(D) ₦116.00

If S=(x : x2 = 9 , x > 4), then S is equal to

(A) 4

∅

{∅}

Find the rate of change of the volume of v of a sphere with respect to its radius r when r=1.

4π

10 π

7π

10π

10.

An equilateral triangle of side 3cm is inscribed in a circle. Find the radius of the circle.

(A) 1.0cm

(B) 2.0cm

(D) 3.0cm

1 out of 6

11.

An arc of a circle subtends an angle of 30° on the circumference of a circle of radius 21cm. Find the length of the arc.

(A) 66cm

(B) 22cm

(D) 11cm

12.

If log318 + log33 - log3x = 3, find x.

(A) 3

(B) 1

(D) 0

13.

Find the remainder when x3 - 2x2 + 3x - 3 is divided by x2 + 1.

(A) 2x-1

(B) x-3

(D) x+3

14.

Factorize completely 9y2 - 16x2.

(A) (3y - 4x)(3y + 4x)

(B) (3y + 2x)(3y - 4x)

(D) (3y + 4x)(3y + 4x)

15.

A circle of perimeter 28cm is opened to form a square. What is the maximum possible area of the square?

(A) 28 cm²

(B) 49 cm²

(D) 98 cm²

16.

Find the value of x at the minimum point of the curve y = x3 + x2 - x + 1.

(A) -1

(B) -1/3

(D) 1

17.

Find the mode of the below distribution.

Class Interval				0-2	3-5	6-8	9-11
Frequency				1	4	3	8

(A) 10

(B) 9

(D) 8

18.

A man earns N3500 per month out of which he spends 15% on his children’s education. If he spends additional N1950 on food, how much does he have left?

(A) N1950

(B) N2975

(D) N525

19.

Find the remainder when 2x3 - 11x2 + 8x - 1 is divided by x + 3.

(A) -178

(B) -781

(D) -187

20.

Given that I3 is a unit matrix of order 3, find | I3 |

(A) 1

(B) 2

(D) -1

2 out of 6

21.

Find r, if 7r78 = 6189

(A) 6

(B) 2

(D) 3

22.

A rectangular picture 6cm by 8cm is enclosed by a frame (1/2) wide. Calculate the area of the frame.

(A) 17 sq cm

(B) 13 sq cm

(D) 15 sq cm

23.

A man runs a distance of 9 km/h for the first 4 km and then 2 km/h for the rest of the distance. The whole run takes him one hour. His average speed for the first 4 km is

(A) 9 km/h

(B) 6 km/h

(D) 8 km/h

24.

A bag contains 3 apples, 4 oranges and 3 bananas. What is the probability of selecting a banana and then an apple?

(A) 9/10

(B) 1/10

(D) 9/100

25.

Evaluate nPr / n-1Pr-1

(A) 2n

(B) n-2

(D) n

26.

If the two smaller sides of right angled triangle are 8cm and 9cm, find its area.

(A) 20 cm2

(B) 15 cm2

(D) 36 cm2

27.

The interior angles of a quadrilateral are (x + 20°), (2x - 45°) (x - 15%)and (2x + 10°). Find the value of the least interior angle.

(A) 63°

(B) 120°

(D) 88°

28.

The chance of three independent events X, Y, Z occurring are 1/2 , 2/3, 1/4 respectively. What are the chances of Y and Z only occurring.

(A) 1/8

(B) 1/24

(D) 1/7

29.

A cylindrical pipe 40m long with radius 7m has one end open. What is the total surface area of the pipe?

(A) 560π

(B) 609π

(D) 658π

30.

What is the locus of points equidistant from points P(1,4) and Q(2,5).

(A) y=-x-6

(B) y=-x-6

(D) y=-x-6

3 out of 6

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Mathematics Past Questions FUTA Post UTME

Welcome to Mathematics Past Questions – FUTA Post UTME.

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