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Mathematics Past Questions

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

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135 questions

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Question 61

jamb 2004

Some white balls put in a basket containing twelve red balls and sixteen black balls. If the probability of picking a white ball from the baskets is \(\frac{3}{7}\), how many white balls were introduced?

A12

B21

C28

D32

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Question 62

jamb 2004

Evaluate \(\int_{1}^{3}(x^2 - 1)dx\)

A\(\frac{2}{3}\)

B\(-\frac{2}{3}\)

C\(-6\frac{2}{3}\)

D\(6\frac{2}{3}\)

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Question 63

jamb 2004

Find the derivatives of the function y = 2x\(^2\)(2x - 1) at the point x = -1?

A18

B16

C-4

D-6

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Question 64

jamb 2004

What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?

A8π

B16π

C2π

D4π

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Question 65

jamb 2004

Find the derivatives of (2 + 3x)(1 - x) with respect to x

B-3

C1 - 6x

D6x - 1

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Question 66

jamb 2004

If y = 3 cos(\(\frac{x}{3}\)), find \(\frac{dy}{dx}\) when x = (\(\frac{3π}{2}\))

B-3

D-1

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Question 67

jamb 2004

The locus of a point which is 5 cm from the line LM is a

Aline distance 10 cm from LM and parallel to LM

Bpair of line on opposite sides of LM and parallel to it, each distance 5 cm from LM

Cline parallel to LM and 5 cm from LM

Dpair of parallel lines on one side of LM and parallel to LM

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Question 68

jamb 2004

P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO

A45^o

B55^o

C35^o

D40^o

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Question 69

jamb 2004

Find the value of x in the figure above

A15\(\sqrt{6}\)

B20\(\sqrt{6}\)

C3\(\sqrt{6}\)

D5\(\sqrt{6}\)

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Question 70

jamb 2004

Determine the locus of a point inside a square PQRS which is eqidistant from PQ and QR

AThe diagonal QS

Bthe perpendicular bisector of PQ

CThe diagonal PR

Dside SR

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Question 71

jamb 2004

Find the midpoint of the line joining P(-3, 5) and Q(5, -3).

A(1, 1)

B(2, 2)

C(4, 4)

D(4, -4)

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Question 72

jamb 2004

In the diagram above, PQ = 4 cm and TS = 6 cm. If the area of parallelogram PQTU is 32 cm\(^2\), find the area of the trapezium PQRU

A60 cm²

B72 cm²

C48 cm²

D24 cm²

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Question 73

jamb 2004

The sum of the interior angles of a pentagon is 6x + 6y. Find y in the terms of x

Ay = 90 - x

By = 150 - x

Cy = 60 - x

Dy = 120 -x

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Question 74

jamb 2004

Find the value of α\(^2\) + β\(^2\) if α + β = 2 and the distance between points (1, α) and (β, 1) is 3 units

A14

D11

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Question 75

jamb 2004

An arc of a circle of length 22 cm subtends an angle of 3x° at the center of the circle. Find the value of x if the diameter of the circle is 14 cm

A60^o

B120^o

C180^o

D30^o

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