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Mathematics Past Questions

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

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Past Questions

47 questions

Question 1 of 20 47 total questions

Question 1

jamb 1987

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h.

A12cm

B10cm

C8cm

D5cm

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Question 2

jamb 1987

The figure is an example of the construction of a

Aperpendicular bisector of a given straight line QR

Bperpendicular from a given point to a given line QR

Cperpendicular to a line from a given point P on that line

Dgiven angle

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Question 3

jamb 1987

In the figure, find the value of x

A110^o

B100^o

C90^o

D80^o

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Question 4

jamb 1987

Three angles of a nonagon are equal and the sum of six other angles is 1110^o. Calculate the size of one of the equal angles.

A210^o

B150^o

C105^o

D50^o

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Question 5

jamb 1987

In the diagram above, QR // TS, QR : TS = 2.3, Find the ratio of the area of triangle PQR to the area of the trapezium QRST.

A4:9

B4:5

C1:3

D2:3

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Question 6

jamb 1987

In the diagram, POQ is a diameter, 0 is the centre of the circle and TP is a tangent. Find the value of x

A30^o

B40^o

C45^o

D50^o

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Question 7

jamb 1987

An (\(n - 2)^2\) sided figure has n diagonals. Find the number n diagonals for a 25-sided figure

D10

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Question 8

jamb 1987

Find the probability of selecting a figure which is a parallelogram from a square, a rectangle, a rhombus, a kite and a trapezium

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

B\(\frac{2}{5}\)

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

D\(\frac{1}{5}\)

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Question 9

jamb 1987

Below are the scores of group of students in a music test
\(\begin{array}{c|c}scores & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline \text{No, of students} & 3 & 6 & 10 & 8 & 6 & 5 & 2 & 4 & 12\end{array}\)
If CF(x) is the number of students with scores less than or equal to x, find CF(6)

A40

B38

C33

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Question 10

jamb 1987

The numbers 3, 2, 8, 5, 7, 12, 9, and 14 are the marks scored by a group of students in a class test. If P is the mean and Q the median, the P + Q is

A18

B17\(\frac{1}{2}\)

C16

D15

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Question 11

jamb 1987

The goals scored by 40 football teams from three league divisions are recorded below

No of goals	0	1	2	3	4	5	6
Frequency	4	3	15	16	1	0	1

What is the total number of goals scored by all the teams?

A21

B40

C91

D96

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Question 12

jamb 1987

Taking the period of day light on a certain day to be from 5.30a.m to 7.00p.m. Calculate the angle of a pie chart designed to show the periods of the day light and of darkness on that day

A187^o30'

B172^o30'

C135^o225^o

D202^o30' 157^o 30'

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Question 13

jamb 1987

What is the locus of the mid-points of all chords of length 6cm within a circle of radius 5cm and with centre 0

AA circle of radius 4 cm and with centre O

BThe perpendicular bisector of the chords

Ca straight line passing through centre O

DA circle of radius 6 cm and with centre O

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Question 14

jamb 1987

The base of a pyramid is a square of side 8cm. If its vertex is directly above the centre, find the height, given that the edge is 4\(\sqrt3\)cm

A6cm

B5cm

C4cm

D3cm

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Question 15

jamb 1987

What is the circumference of latitude 0°S if R is the radius of the earth?

AR cos\(\theta\)

B2\(\pi\) R cos \(\theta\)

CR sin \(\theta\)

D2\(\pi\) R sin \(\theta\)

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Question 16

jamb 1987

A room is 12m long, 9m wide, and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

A\(\frac{15}{17}\)

B\(\frac{8}{17}\)

C\(\frac{8}{15}\)

D\(\frac{12}{17}\)

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Question 17

jamb 1987

From two points x and y, 8m apart, and in line with a pole, the angles of elevation of the top of the pole are 30ºand 60º respectively. Find the height of the pole assuming that x, y, and the foot of the pole are on the same horizontal plane and x and y are on the same side of the pole.

A\(\sqrt{6}\)

B4\(\sqrt{3}\)

C\(\sqrt{3}\)

D\(\frac{12}{\sqrt{3}}\)

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Question 18

jamb 1987

If tan \(\theta\) = \(\frac{m^2 - n^2}{2mn}\) find sec\(\theta\)

A\(\frac{m^2 + n^2}{(m^2 - n^2)}\)

B\(\frac{m^2 + n^2}{2mn}\)

C\(\frac{mn}{2(m^2 + n^2)}\)

D\(\frac{m^2n^2}{2(m^2 - n^2)}\)

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Question 19

jamb 1987

The sine, cosine and tangent of 210o are respectively

A\(\frac{1}{2}\), \(\frac{\sqrt{3}}{2}\), \(\frac{\sqrt{3}}{2}\)

B\(\frac{1}{2}\), \(\frac{\sqrt{3}}{2}\), \(\frac{\sqrt{3}}{3}\)

C\(\frac{1}{2}\), \(\frac{\sqrt{3}}{2}\), \(\frac{\sqrt{3}}{2}\)

D\(\frac{-1}{2}\), \(\frac{\sqrt{-3}}{2}\), \(\frac{\sqrt{3}}{3}\)

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Question 20

jamb 1987

Two chords QR and NP of a circle intersect inside the circle at x. If RQP = 37o, RQN = 49o and QPN = 35o, find PRQ

A35^o

B37^o

C49^o

D59^o

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