JAMB MATHS MOCK TEST

Created on April 24, 2023 By

Ace/Undergragra

JAMB MATHS MOCK TEST

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1.

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

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

B. 2x cosec x + tan x

C. 2 cosec x - x cot x

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

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

A. 1, -1

B. 2, -1

C. 1, -2

D. 2, -2

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3.

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

A. 15

B. 30

C. 40

D. 10

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4.

Integrate the expression 6x2 - 2x + 1

A. 2x 3 - x 2 + x + c

B. x 3 + x 2 – x + c

C. 2x 3 – 3x 2 + c

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

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5.

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. 12/17

B. 15/17

C. 19/17

D. 8/15

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6.

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. N3,600.00

B. N1,080.00

C. N3,000.00

D. N2,400.00

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7.

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

A. 23m

B. 25m

C. 20m

D. 22m

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8. 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

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9.

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

A. 2x + 6

B. 5x - 3

C. 9x + 9

D. 6x + 8

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10.

The base in which the operation was performed was

See also FMS 102 CBT PRACTICE TEST

A. 6

B. 5

C. 4

D. 2

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

A. 12 units

B. 13 units

C. 5 units

D. 7 units

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12.

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. 180 o

B. 60 o

C. 36o

D. 108o

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13.

In how many ways can the letters LEADER be arranged?

A. 360

B. 74

C. 144

D. 720

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14. 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. 8cm

C. 7cm

D. 6cm

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15.

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

A. 10o

B. 140o

C. 100o

D. 120o

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16. 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. 1, -1

B. 1, -2

C. 2, -1

D. 2, -2

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

A. 3.4cm

B. 9.1cm

C. 3cm

D. 9cm

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18. 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. N3,450

B. N2600

C. N3,100

D. N2,050

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19. 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

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20.

See also GST 106 CBT PRACTICE TEST

The number line is represented by inequality.

A. x>2

B. x≥2

C. x<2

D. x≤2

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21. 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

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22.

Evaluate log2 8 – log3 19

A. -1

B. 5

C. 1

D. -1 1 /5

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23.

0.00256×0.0064/0.025×0.08

A. 8.8 x 10 3

B. 8.8 x 10 − 3

C. 8.8 x 10 − 1

D. 8.8 x 10 − 2

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24.

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

A. 5x + 7y = 20

B. xy = 7

C. 7x + 5y = 70

D. 15x + 17y = 90

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

A. 32x + 7

B. 48x - 6

C. 24x 2 - 6x + 7

D. 11x 2 + 6x - 7

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26.

Given sin⁡58°=cos⁡p°, find p.

A. 52 degree

B. 32 degree

C. 48 degree

D. 38 degree

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

A. #4,750.00

B. #3,000.00

C. #4,000.00

D. #5,000.00

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28.

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

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29. Copy -

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

A. 35/2

B. 35/3

C. 16

D. 64

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30.

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

A. 35/3

B. 16

C. 35/2

D. 64

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31.

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

A. 3 √ 2 - 4

B. 3 √ 2 + 4

C. 3 - 2√ 2

D. 4 + 2√ 2

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32. 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. 2/3

C. 1/2

D. 1/4

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33.

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

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34.

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

A. p = 20 and q = 14

B. p = 20 and q = 20

C. p = 14 and q = 14

D. p = 14 and q = 20

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35. 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. N684.00

C. N720.00

D. N756.00

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

A. 60

B. 30

C. 48

D. 20

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37. Factorize 4a2 - 9b2