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Created on April 24, 2023 By Ace/Undergragra

JAMB MATHS MOCK TEST

1 / 40

1. Copy -

The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

A. 64

B. 35/3

C. 35/2

D. 16

2 / 40

2.

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells 23 of her share to Taiwo for N720.00. Find the value of the store

A. N3,000.00

B. N3,600.00

C. N2,400.00

D. N1,080.00

3 / 40

3. The pie chart shows the income of a civil servant in month. If his monthly income is N6,000. Find his monthly basic salar

A. N3,100

B. N2600

C. N3,450

D. N2,050

4 / 40

4. Factorize 4a2 - 9b2

A. (2a-3b) (2a+3b)

B. (a-3b) (a+3b)

C. (2a-3b) (a+3b)

D. (2a-b) (2a+3b)

5 / 40

5.

Find the value of x if√2/ 2x+2 = 1/x−√2

A. 3 - 2√ 2

B. 3 √ 2 + 4

C. 3 √ 2 - 4

D. 4 + 2√ 2

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

A. 20

B. 30

C. 48

D. 60

7 / 40

7. A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

A. 40cm

B. 43cm

C. 15cm

D. 52cm

8 / 40

8.

Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12

A. 5x + 7y = 20

B. 7x + 5y = 70

C. xy = 7

D. 15x + 17y = 90

9 / 40

9. Three times a certain number (x), minus 2 is less than the number minus 6. Find the possible values of x.

A. x>2

B. x>-2

C. x<2

D. x <-2

10 / 40

10. A binary operation x is defined by a x b = ab. If a x 2 = 2 - a, find the possible values of a?

A. 2, -1

B. 1, -2

C. 2, -2

D. 1, -1

11 / 40

11. Find the simple interest rate percent annum at which N1000 accumulates to N1240 in 3 year

A. 8%

B. 6%

C. 10%

D. 12%

12 / 40

12. Copy -

Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio

A. 3/2

B. 1/4

C. 2/3

D. 1/2

13 / 40

13.

If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ).

A. 15

B. 40

C. 30

D. 10

14 / 40

14.

If x is positive real number, find the range of values for which 13x + 12 > 14x

A. x > - 1/6

B. x > 0

C. 0 < x < 1/6

D. 0 < x < 6

15 / 40

15. In the diagram shown, XY = 8cm and OX = 5cm. Find Oz

A. 9cm

B. 9.1cm

C. 3.4cm

D. 3cm

16 / 40

16. If a dress is sold for #3800.00 at a 20% discount. what is its original price?

A. #4,000.00

B. #4,750.00

C. #3,000.00

D. #5,000.00

17 / 40

17.

Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio

A. 3/2

B. 1/2

C. 2/3

D. 1/4

18 / 40

18.

If 6x^3+2x^2−5x+1 divides x^2−x−1, find the remainder.

A. 5x - 3

B. 6x + 8

C. 2x + 6

D. 9x + 9

19 / 40

19. Find the distance between the points C(2, 2) and D(5, 6).

A. 13 units

B. 7 units

C. 12 units

D. 5 units

20 / 40

20.

Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60^o

A. 100o

B. 120o

C. 10o

D. 140o

21 / 40

21.

The number line is represented by inequality.

A. x<2

B. x≥2

C. x>2

D. x≤2

22 / 40

22.

The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart?

A. 36o

B. 180 o

C. 108o

D. 60 o

23 / 40

23. A sector of circle of radius 7.2cm which substends an angle of 300o at the centre is used to form a cone. What s the radius of the base of the cone?

A. 9cm

B. 7cm

C. 8cm

D. 6cm

24 / 40

24. If y = 8x^3 - 3x^2 + 7x - 1, find d^2y/dx^2

A. 32x + 7

B. 48x - 6

C. 11x 2 + 6x - 7

D. 24x 2 - 6x + 7

25 / 40

25.

The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST

A. π r /6

B. π r /2

C. π r /12

D. π r /3

26 / 40

26. Copy - A binary operation x is defined by a x b = ab. If a x 2 = 2 - a, find the possible values of a?

A. 2, -1

B. 1, -1

C. 2, -2

D. 1, -2

27 / 40

27.

Given sin⁡58°=cos⁡p°, find p.

A. 52 degree

B. 32 degree

C. 38 degree

D. 48 degree

28 / 40

28.

Evaluate log2 8 – log3 19

A. -1

B. 5

C. -1 1 /5

D. 1

29 / 40

29. Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)2, then find 3 * 5

A. -232

B. 32

C. 223

D. 232

30 / 40

30.

Differentiate 2x/sin⁡x with respect to x.

A. 2 cosec x( 1 - x cot x)

B. 2 cot x sec x(1 + tan x)

C. 2x cosec x + tan x

D. 2 cosec x - x cot x

31 / 40

31.

If 8, p, q and 26 is an A.P. Find the values of p and q.

A. p = 14 and q = 14

B. p = 20 and q = 14

C. p = 20 and q = 20

D. p = 14 and q = 20

32 / 40

32.

Integrate the expression 6x2 - 2x + 1

A. 2x 3 – 3x 2 + c

B. x 3 + x 2 – x + c

C. 3x 3 - 2x 2 + x + c

D. 2x 3 - x 2 + x + c

33 / 40

33.

The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

A. 35/3

B. 35/2

C. 16

D. 64

34 / 40

34.

A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m?

A. 22m

B. 20m

C. 23m

D. 25m

35 / 40

35.

In how many ways can the letters LEADER be arranged?

A. 360

B. 144

C. 74

D. 720

36 / 40

36.

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

A. 15/17

B. 19/17

C. 12/17

D. 8/15

37 / 40

37. If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12.

A. 1

B. 2

C. 3

D. 4

38 / 40

38. A man's initial salary is N540.00 a month and increases after each period of six months by N36.00 a month. Find his salary in the eight month of the third year.

A. N828.00

B. N756.00

C. N684.00

D. N720.00

39 / 40

39.

The base in which the operation was performed was

 

A. 4

B. 6

C. 5

D. 2

40 / 40

40.

0.00256×0.0064/0.025×0.08

 

A. 8.8 x 10 − 1

B. 8.8 x 10 − 2

C. 8.8 x 10 3

D. 8.8 x 10 − 3

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