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Mathematics Past Questions

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1,853 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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1,853 questions

Question 1 of 20 1,853 total questions

Question 671

waec 1998

In the diagram, O is the center of the circle and the reflex angle ROS is 264^o. Find ∠RTS

A48^o

B53^o

C66^o

D132^o

E192^o

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Question 672

waec 1998

Two chords PQ and RS of a circle intersected at right angles at a point inside the circle. If ∠QPR = 35^o,find ∠PQS

A35^o

B45^o

C55^o

D70^o

E90^o

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Question 673

waec 1998

A chord of circle of radius 26cm is 10cm from the center of the circle. calculate the length of the chord

A16cm

B27.86cm

C32cm

D48cm

E55.72cm

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Question 674

waec 1998

A ladder 5cm long long rest against a wall such that its foot makes an angle 30o with the horizontal. How far is the foot of the ladder from the wall?

A\(\frac{5\sqrt{2}}{3}m\)

B\(2\frac{1}{2}m\)

C\(\frac{5\sqrt{3}}{2}m\)

D\(\frac{10\sqrt{3}}{3}m\)

E\(10\sqrt{3}m\)

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Question 675

waec 1998

Find the value of X if \(cos x = \frac{5}{8}\) for \(0^o\le X\le 180^o\)

A141.3^o

B128.7^o

C51.3^o

D48.7^o

E38.7^o

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Question 676

waec 1998

In \(sin(X+30)^o=cos40^o\),find X

A10^o

B20^o

C50^o

D60^o

E90^o

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Question 677

waec 1998

In the diagram, PQ||SR. Find the value of Z

A30^o

B40^o

C45^o

D90^o

E120^o

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Question 678

waec 1998

In ∆PQR. ∠PQR is a right angle. |QR| = 2cm and ∠PRQ = 60o. Find |PR|

A4√3cm

B4cm

C2√3cm

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

E1cm

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Question 679

waec 1998

A box contain 2 white and 3 blue identical balls. If two balls are picked at random, one after the other, without replacement, what is the probability of picking two balls of different colours?

A\(\frac{5}{25}\)

B\(\frac{7}{20}\)

C\(\frac{3}{5}\)

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

E\(\frac{5}{6}\)

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Question 680

waec 1998

The values of x when y = -1 are approximately

A-10 and 2.0

B-1.3 and 2.3

C-0.6 and 2.6

D-0.6 and 1.6

E1.6 and 1.6

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Question 681

waec 1998

The graph is that of the quadratic expression

A\(y=x^2 + x - 2\)

B\(y=x^2 - x + 2\)

C\(y=x^2 - x - 2\)

D\(y=x + x + 2\)

E\(y=x^2 - 2 x - 2\)

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Question 682

waec 1998

In the diagram above, the area of triangle ABC is 35cm\(^2\). Find the value of y

A5cm

B10cm

C17.5cm

D28cm

E70cm

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Question 683

waec 1998

A die with faces numbered 1 to 6 is rolled once. What is the probability of obtaining 4?

A\(\frac{1}{36}\)

B\(\frac{1}{6}\)

C\(\frac{1}{3}\)

D\(\frac{1}{2}\)

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

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Question 684

waec 1998

The following numbers represent at a set of scores for a class of 32 students, where the maximum score possible was 12, 6, 5, 9, 4, 4, 8, 7, 5, 6, 3, 2, 5, 4, 6, 9, 10, 4, 3, 2, 3, 4, 6, 8, 7, 4, 2, 1, 8, 7, 7, 6, 11. What is the percentage of the class, correct to the nearest whole number, scored above 6?

A34%

B35%

C37%

D36%

E38%

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Question 685

waec 1998

Express as a single fraction: \(\frac{x}{x-2}-\frac{x+2}{x+3}\)

A\(\frac{2x^2 - 3x - 4}{(x-2)(x+3)}\)

B\(\frac{2x^2 + 3x - 4}{(x-2)(x+3)}\)

C\(\frac{2}{(x-2)(x+3)}\)

D\(\frac{ 3x + 4}{(x-2)(x+3)}\)

E\(\frac{3x - 4}{(x-2)(x+3)}\)

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Question 686

waec 1998

In the diagram above, O is the center if the two concentric circle of radii 13cm and 10cm respectively. Find the area of the shaded portion in the sector with angle 120° at the center

A\(\frac{1}{3}\pi cm^2\)

B\(\pi cm^2\)

C\(3\pi cm^2\)

D\(23\pi cm^2\)

E\(46\pi cm^2\)

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Question 687

waec 1998

The radius of a geographical globe is 60cm. Find the length of the parallel of latitude 60oN

A\(66\pi cm\)

B\(60\pi cm\)

C\(30\pi cm\)

D\(15\pi cm\)

E\(6\pi cm\)

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Question 688

waec 1998

Given that \(\frac{6x-y}{x+2y}=2\), find the value of \(\frac{x}{y}\)

A\(\frac{3}{8}\)

B\(\frac{5}{8}\)

C\(\frac{4}{5}\)

D\(\frac{5}{4}\)

E\(\frac{8}{5}\)

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Question 689

waec 1998

If h(m+n) = m(h+r) find h in terms of m, n and r

A\(h=\frac{mr}{2m+n}\)

B\(h=\frac{mr}{n+m}\)

C\(h=\frac{m+n}{n}\)

D\(h=\frac{m+n}{m}\)

E\(h=\frac{mr}{n}\)

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Question 690

waec 1998

solve the inequality \((Y-2)

Ay > -9

By < 3

Cy > 4

Dy < 9

Ey > 0

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