Mathematics UI Post UTME Past Questions Test

Welcome to your Mathematics UI Post UTME Past Questions Test

1.

Simplify: (3x + 5x - 2x)

5x

6x

10x

2.

Solve for (x): (2x + 7 = 15)

4

5

6

3.

If (x = 3), find the value of (2x^2 + 1).

17

19

21

4.

Factorize (x^2 - 9).

((x-9)(x+1))

((x-3)(x+3))

((x-1)(x+9))

5.

Solve (x^2 - 5x + 6 = 0).

x = 2 or 3

x = 1 or 6

x = -2 or -3

6.

Simplify (\frac{12x}{4}).

3

3x

4x

7.

What is 25% of 240?

50

60

80

8.

A student scored 45 out of 60. What percentage did the student score?

65%

75%

80%

9.

Express 0.75 as a fraction in its simplest form.

1/2

3/4

4/5

10.

Find the HCF of 24 and 36.

6

12

18

1 out of 5

11.

If (x+\frac{1}{x}=3), find (x^2+\frac{1}{x^2}).

5

7

9

12.

Given that (2x^2-5x-3=0), the roots of the equation are:

3 and (-\frac{1}{2})

2 and (-3)

3 and (\frac{1}{2})

13.

If (f(x)=2x^2-3x+1), find (f(-2)).

11

15

17

14.

Given (f(x)=3x-2) and (g(x)=x^2+1), find (g(f(2))).

15

17

19

15.

If (x^2-6x+k=0) has equal roots, find (k).

6

9

12

16.

Simplify: [ \frac{x^2-9}{x^2-3x}. ]

(\frac{x+3}{x})

(\frac{x-3}{x+3})

17.

If (a) and (b) are the roots of [ x^2-7x+10=0, ], find (a^2+b^2).

19

29

39

18.

Find the value of (x) if [ \log_2(x-1)=3. ]

7

9

10

19.

If Y = cos3x, find dy/dx

3 sin

-3 sin3x

-1sin

20.

A chord of a circle subtends an angle of 60 deg at the center of a circle of radius 14cm. Find the length of the chord.

21cm

7cm

14cm

2 out of 5

21.

If log 5 = 0.6989, log 2 = 0.3010 and log 4 = 0.6021, evaluate: 2log 4 + log 2 - log 5 + log 40

2.41

3.2

7.15

22.

The interior angles of a pentagon are:180, 80, 118, 78, and x in degrees. The value of x is

84

109

130

23.

If m * n = [mn − nm] for m, n belong to R, evaluate − 3 * 4

24

3

5

24.

Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5)

2x + 2y = 9

2x + 3y = 8

x + 2y = 8

25.

y is inversely proportional to x and y and 6 when x = 7. Find the constant of the variation

42

56

40

26.

Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum

₦ 4,900

₦ 5,000

₦ 7,000

27.

If a rod 10cm in length was measured as 10.5cm, calculate the percentage error

5%

10%

7%

28.

A car dealer bought a second-hand car for of 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

25%

35%

47%

29.

A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was?

three times as much

the same

twice as much

30.

The value of x + x ( xx) when x = 2 is

13

10

16

3 out of 5

4 out of 5

5 out of 5

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Mathematics UI Post UTME Past Questions Test

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