Further Mathematics Past Questions

Question 11

waec 2022

Given that P = (-4, -5) and Q = (2,3), express →PQ in the form (k,θ). where k is the magnitude and θ the bearing.

A(10 units, 053º)

B(9 units, 049º)

C(10 units, 037º)

D(9 units, 027º)

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Question 12

waec 2022

Solve: \(3^{2x-2} - 28(3^{x-2}) + 3 = 0\)

 

Ax = -2 or x = 1

Bx = 0 or x = -3

Cx = 2 or x = 1

Dx = 0 or x = 3

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Question 13

waec 2022

In how many ways can six persons be paired?

A5

B10

C15

D20

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Question 14

waec 2022

If Un = kn\(^2\) + pn, U\(_1\) = -1, U\(_5\) = 15, find the values of k and p.

Ak = -1, p = 2

Bk = -1, p = -2

Ck = 1, p = -2

Dk = 1, p = 2

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Question 15

waec 2022

A particle moving with a velocity of 5m/s accelerates at 2m/s\(^2\). Find the distance it covers in 4 seconds.

A16m

B26m

C36m

D46m

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Question 16

waec 2022

Given that P = {x: x is a multiple of 5}, Q = {x: x is a multiple of 3} and R = {x: x is an odd number} are subsets of μ = {x: 20 ≤ x ≤ 35}, (P⋃Q)∩R.

A{20, 21, 25, 30, 33}

B{21, 25, 27, 33, 35}

C{20, 21, 25, 27, 33, 35}

D{21, 25, 27, 30, 33, 35}

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Question 17

waec 2022

Find the coefficient of x\(^2\)in the binomial expansion of \((x + \frac{2}{x^2})^5\)

A10

B40

C32

D80

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Question 18

waec 2022

Evaluate \(4p_2 + 4C_2 - 4p_3\)

A18

B6

C-6

D-18

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Question 19

waec 2022

A linear transformation T is defined by T: (x,y) → (3x - y, x + 4y). Find the image of (2, -1) under T.

A(7, -2)

B(5, -2)

C(-2, 7)

D(-7, 2)

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Question 20

waec 2022

Given \(\begin{vmatrix} 2 & -3 \\ 1 & 4 \end{vmatrix} \begin{vmatrix} -6 \\ k \end{vmatrix}  \begin{vmatrix} 3 \\ -26 \end{vmatrix} = 15\). Solve for k.

A-8

B-5

C-4

D-3

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Question 21

waec 2022

Evaluate\({1_0^∫} x^2(x^3+2)^3\)

A\(\frac{56}{12}\)

B\(\frac{65}{12}\)

C12

D65

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Question 22

waec 2022

If \(x^2+y^2+-2x-6y+5 =0\), evaluate dy/dx when x=3 and y=2.

A2

B-2

C-4

D4

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Question 23

waec 2022

Given that \(\frac{8x+m}{x^2-3x-4} ≡ \frac{5}{x+1} + \frac{3}{x-4}\)

A23

B17

C-17

D17

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Question 24

waec 2022

Differentiate \(\frac{5x^ 3+x^2}{x}\), x ≠ 0 with respect to x.

A10x + 1

B10x + 2

Cx(15x + 1)

Dx(15x + 2)

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Question 25

waec 2022

If 36, p,\(\frac{9}{4}\) and q are consecutive terms of an exponential sequence (G.P), find the sum of p and q.

A9/16

B81/16

C9

D9 \(\frac{9}{16}\)

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Question 26

waec 2022

Evaluate \(∫^0_{-1}\) (x + 1)(x - 2) dx

A7/6

B5/6

C-5/6

D-7/6

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Question 27

waec 2022

Which of the following is the semi-interquartile range of a distribution?

AMode - Median

BHighest score - Lowest score

C1/2 (Upper Quartile - Median)

D1/2 (Upper Quartile - Lower Quartile)

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Question 28

waec 2022

A straight line makes intercepts of -3 and 2 on the x and y axes respectively. Find the equation of the line.

A2x + 3y + 6 = 0

B3x - 2y - 6 = 0

C-3x 2y - 6 = 0

D-2x + 3y - 6 = 0

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Question 29

waec 2022

Express \(\frac{4π}{2}\) radians in degrees.

A288º

B200º

C144º

D120º

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Question 30

waec 2022

The functions f:x → 2x\(^2\) + 3x -7 and g:x →5x\(^2\) + 7x - 6 are defined on the set of real numbers, R. Find the values of x for which 3f(x) = g(x).

Ax = -3 or -5

Bx = -3 or 5

Cx = 3 or -5

Dx = 3 or 5

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