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Mathematics Past Questions

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

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Past Questions

45 questions

Question 1 of 20 45 total questions

Question 1

jamb 1989

In a class of 30 students, the marks scored in an examination are displayed in the histogram. What percentage of the student scored more than 40%?

A14%

B40%

C46\(\frac{3}{4}\)%

D53\(\frac{1}{3}\)%

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Question 2

jamb 1989

If PST is a straight line and PQ = QS = SR in the diagram, find y.

A24^o

B48^o

C72^o

D84^o

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Question 3

jamb 1989

If PQR is a straight line with QS = QR, calculate TPQ, If QT\\SR and TQS = 3y^o

A62^o

B56\(\frac{3}{2}\)^o

C20\(\frac{3}{2}\)^o

D18^o

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Question 4

jamb 1989

In the diagram, HK is parallel to QR, PH = 4cm and HQ = 3cm. What is the ratio of KR:PR?

A7:3

B3:7

C3:4

D4:3

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Question 5

jamb 1989

MN is tangent to the given circle at M, MR, and MQ are two chords. IF QMN is 60º and MNQ is 40º. Find RMQ

A120^o

B110^o

C60^o

D20^o

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Question 6

jamb 1989

On the curve, the points at which the gradient of the curve is equal to zero are

Ac, d, f. i, l

Bb, e, g, j, m

Ca, b, c, d, f, i, j, l

Dc, d, f, h, i, l

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Question 7

jamb 1989

If n is the median and m is the mode of the following set of numbers, 2.4, 2.1, 1.6, 2.6, 2.6, 3.7, 2.1, 2.6, then (n, m) is

A(2.6, 2.6)

B(2.5, 2.6)

C(2.6, 2.5)

D(2.5, 2.1)

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Question 8

jamb 1989

In a family of 21 people, the average age is 14years. If the age of the grandfather is not counted, the average age drops to 12 years. What is the age of the grandfather?

A35 years

B40 years

C42 years

D54 years

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Question 9

jamb 1989

In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represents meat in pie chart

A30^o

B60^o

C112.5^o

D157.5^o

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Question 10

jamb 1989

OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT

A2\(\sqrt{5}\)

D4\(\sqrt{3}\)

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Question 11

jamb 1989

A cylindrical metal pipe 1m long has an outer diameter of 7.2cm and an inner diameter of 2.8cm. Find the volume of metal used for the cylinder

A440\(\pi\)cm³

B1100\(\pi\)cm³

C4400\(\pi\)cm³

D11,000\(\pi\)cm³

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Question 12

jamb 1989

A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A336

B420

C576

D720

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Question 13

jamb 1989

4sin² x - 3 = 0, find x if 0 \(\geq\) x \(\geq\) 90^o

A30^o

B45^o

C60^o

D9^o

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Question 14

jamb 1989

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35^o and 55^o. Find the distance between the two points of observation

A10(sin 35^o - sin 55^o)

B10 cos35^o - cos 55^o

C10(tan35^o - tan55^o)

D10(cot35^o - cot55^o)

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Question 15

jamb 1989

if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle.

A68cm

B84cm

C100cm

D120cm

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Question 16

jamb 1989

In XYZ, y = z = 30° and XZ = 3cm. Find YZ

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

B3\(\frac{\sqrt{3}}{2}\) cm

C3\(\sqrt{3}\) cm

D2\(\sqrt{3}\) cm

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Question 17

jamb 1989

PQRS is a rhombus. If PR\(^2\) + QS\(^2\) = kPQ\(^2\), determine k.

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Question 18

jamb 1989

A regular polygon of (2k + 1) sides has 140° as the size of each interior angle. Find k

B4\(\frac{1}{2}\)

D8\(\frac{1}{2}\)

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Question 19

jamb 1989

If -8, m, n, 19 are in arithmetic progression, find (m, n)

A1, 10

B2, 10

C3, 13

D4, 16

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Question 20

jamb 1989

The sum of the first two terms of a geometric progression is x and sum of the last terms is y. If there are n terms in all, then the common ratio is

A\(\frac{x}{y}\)

B\(\frac{y}{x}\)

C(\(\frac{x}{y}\))^{\(\frac{1}{n - 2}\)}

D(\(\frac{y}{x}\))^{\(\frac{1}{n - 2}\)}

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