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Mathematics Past Questions

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50 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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50 questions

Question 1 of 20 50 total questions

Question 11

jamb 2001

Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.

Asquare of sides p

Bsquare of sides 2p

Csquare of sides (p/2)

Dsquare of sides (p/4)

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Question 12

jamb 2001

If y = x sinx, find dy/dx when x = π/2.

A-π/2

B-1

Dπ/2

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Question 13

jamb 2001

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

A12π

B4π

C24π

D8π

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Question 14

jamb 2001

Find the area bounded by the curves y = 4 - x2 and y = 2x + 1

A20(1/3) sq. units

B20(2/3) sq. units

C10(2/3) sq. units

D10(1/3) sq. units

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Question 15

jamb 2001

Differentiate \((2x+5)^{2} (x-4)\) with respect to x.

A4(2x+5)(x-4)

B4(2x+5)(4x-3)

C(2x+5)(2x-13)

D(2x+5)(6x-11)

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Question 16

jamb 2001

Evaluate \(\int 2(2x - 3)^{\frac{2}{3}} \mathrm d x\)

A3/5(2x-3)^5/3 + k

B6/5(2x-3)^5/3 + k

C2x-3+k

D2(2x-3)+k

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Question 17

jamb 2001

If the gradient of the curve y = 2kx² + x + 1 at x = 1 is 9, find k.

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Question 18

jamb 2001

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

Aπr/6

Bπr/2

Cπr/12

Dπr/3

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Question 19

jamb 2001

Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.

Ay = 4 \(\pm\) k

By = k \(\pm\) 4

Cy = 4 + k

Dy = k - 4

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Question 20

jamb 2001

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

(Take pi = 22/7)

A23 m

B25 m

C20 m

D22 m

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Question 21

jamb 2001

The bearings of P and Q from a common point N are 020° and 300° respectively. If P and Q are also equidistant from N, find the bearing of P from Q.

A040°

B070°

C280°

D320°

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Question 22

jamb 2001

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

A6.5 units

B13.0 units

C3.5 units

D7.0 units

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Question 23

jamb 2001

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.

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Question 24

jamb 2001

Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3).

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Question 25

jamb 2001

A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Find the equation of the straight line.

Ay = (x/10) + 5

By = x + 5

C√3y = - x + 5√3

D√3y = x + 5√3

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Question 26

jamb 2001

A point P moves such that it is equidistant from Points Q and R. Find QR when PR = 8cm and angle PRQ = 30°

A4√3cm

B8cm

C8√3cm

D4cm

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Question 27

jamb 2001

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

A8cm

B6cm

C9cm

D7cm

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Question 28

jamb 2001

Factorize 4x² - 9y² + 20x + 25

A(2x -3y + 5)(2x - 3y - 5)

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

C(2x - 3y +5)(2x + 3y + 5)

D(2x + 5)(2x - 9y +5)

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Question 29

jamb 2001

The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to

Azero

Bhalf of the common difference

Cdouble the common difference

Dthe common difference

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Question 30

jamb 2001

An operation * is defined on the set of real numbers by a*b = a + b + 1. If the identity elements is -1, find the inverse of the element 2 under *.

Bzero

C-2

D-4

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