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Mathematics Past Questions

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

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49 questions

Question 1 of 20 49 total questions

Question 11

jamb 2000

X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.

A0.30

B0.50

C0.57

D1.80

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Question 12

jamb 2000

If the volume of a hemisphere is increasing at a steady rate of 18π m\(^{3}\) s\(^{-1}\), at what rate is its radius changing when its is 6m?

A2.50m/s

B2.00 m/s

C0.25 m/s

D0.20 m/s

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Question 13

jamb 2000

A bowl is designed by revolving completely the area enclosed by y = x\(^2\) - 1, y = 3, and x ≥ 0 around the y-axis. What is the volume of this bowl?

A7π cubic units

B15π/2 cubic units

C8π cubic units

D17π/2 cubic units

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Question 14

jamb 2000

If y = 2xcos2x - sin2x, find \(\frac{dy}{dx}\) when x = \(\frac{π}{4}\)

Aπ

B-π

C\(\frac{π}{2}\)

D-\(\frac{π}{2}\)

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Question 15

jamb 2000

Find the value of \(\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta\)

Aπ

Bπ/2

C-π/2

D-π

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Question 16

jamb 2000

A predator moves in a circle of radius √2 centre (0,0), while a prey moves along the line y = x. If 0 \(\leq\) x \(\leq\) 2, at which point(s) will they meet?

A(1,1) only

B(1,1) and (1,2)

C(0,0) and (1,1)

D(√2,√2) only

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Question 17

jamb 2000

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.

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Question 18

jamb 2000

if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is

AA straight line

Ba circle

Cthe bisector of angle PXQ

Dthe perpendicular bisector of PQ

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Question 19

jamb 2000

3y = 4x - 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.

A-\(\frac{4}{3}\)

B-\(\frac{3}{4}\)

C\(\frac{3}{4}\)

D\(\frac{4}{3}\)

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Question 20

jamb 2000

An equilateral triangle of side √3cm is inscribed in a circle. Find the radius of the circle.

A2/3 cm

B2 cm

C1 cm

D3 cm

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Question 21

jamb 2000

P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and angle VUS = 50°, find angle UST.

A310°

B130°

C80°

D50°

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Question 22

jamb 2000

A frustrum of pyramid with square base has its upper and lower sections as squares of sizes 2m and 5m respectively and the distance between them 6m. Find the height of the pyramid from which the frustrum was obtained.

A8.0 m

B8.4 m

C9.0 m

D10.0 m

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Question 23

jamb 2000

If α and β are the roots of the equation 3x\(^2\) + 5x - 2 = 0, find the value of 1/α + 1/β

A-5/3

B-2/3

C1/2

D5/2

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Question 24

jamb 2000

Solve the inequality 2 - x > x\(^2\).

Ax < -2 or x > 1

Bx > 2 or x< -1

C-1 < x < 2

D-2 < x < 1

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Question 25

jamb 2000

A trader realizes 10x - x\(^2\) naira profit from the sale of x bags on corn. How many bags will give him the desired profit?

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Question 26

jamb 2000

if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax\(^3\) + bx\(^2\) + cx - 1, find a, b, c in that order.

A-1/2, 1., 1/2

B1/2, 1, 1/2

C1/2, 1, -1/2

D1/2, -1, 1/2

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Question 27

jamb 2000

Evaluate (\(\frac{1}{2} - \frac{1}{4} + \frac{1}{8} - \frac{1}{16} + ...) -1\)

A2/3

Bzero

C-2/3

D-1

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Question 28

jamb 2000

Find the inverse of p under the binary operation * defined by p*q = p + q - pq, where p and q are real numbers and zero is the identity

Bp -1

Cp/(p-1)

Dp/(p+1)

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Question 29

jamb 2000

The 3rd term of an A.P is 4x - 2y and the 9th term is 10x - 8y. Find the common difference.

A19x - 17y

B8x - 4y

Cx - y

D2x

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Question 30

jamb 2000

A binary operation * is defined by a * b = a\(^b\). If a * 2 = 2 - a, find the possible values of a.

A1, -1

B1, 2

C2, -2

D1, -2

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