Mathematics Past Questions

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48 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
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Past Questions

48 questions
Question 1 of 20 48 total questions
Question 1
jamb 1983

In the figure PT is a tangent to the circle with centre at O. If PQT = 30o, find the value of PTO

A30o
B50o
C24o
D12o
E60o
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Question 2
jamb 1983
In the diagram, if PS = SR and PQ||SQ, what is the size of PQR?
A25o
B50o
C55o
D65o
E75o
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Question 3
jamb 1983

In the figure, PQR is a straight line. Find the values of x and y

Ax = 22.5o, y = 33.75o
Bx = 15o, y = 52.5o
Cx = 22.5o, y = 45.0o
Dx = 56.25o, y = 11.5o
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Question 4
jamb 1983
The farm yield of four crops on a piece of land in Ondo are represented on the pie chart. what is the angle of the sector occupies by Okro in the chart?
A11o
B19\(\frac{1}{3}\)o
C33\(\frac{1}{3}\)o
D91\(\frac{1}{3}\)o
E91o
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Question 5
jamb 1983

PQRS isa cyclic quadrilateral which PQ = PS. PT is a tangent to the circle and PQ makes an angle of 50o with the tangent as shown in the figure. What is the size of QRS?

A50o
B40o
C110o
D80o
E100o
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Question 6
jamb 1983
If O is the centre of the circle in the figure, find the value of x
A50
B260
C100
D65
E130
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Question 7
jamb 1983
PQRS is a desk of dimensions 2m x 0.8 which is inclined at 30o to the horizontal. Find the inclination of the diagonal PR to the horizontal
A30o 35'
B30o 32'
C15o 36'
D10o
E10o 42'
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Question 8
jamb 1983
The figure FGHK is a rhombus. What is the value of angle X?
A30o
B90o
C150o
D120o
E60o
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Question 9
jamb 1983

Which of the following equations represents the graph?

Ay = 1 + 2x + 3x2
By = 1 - 2x + 3x2
Cy = 1 + 2x - 3x2
Dy = 1 - 2x - 3x2
Ey = 3x2 + 2x - 1
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Question 10
jamb 1983
In the figure, find PRQ
A66\(\frac{1}{2}\)o
B62\(\frac{1}{2}\)o
C125o
D105o
E65o
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Question 11
jamb 1983

In a class of 60 pupils, the statistical distribution of the numbers of pupils offering Biology, History, French, Geography and Additional mathematics is as shown in the pie chart. How many pupils offer Additional Mathematics?

A15
B10
C18
D12
E20
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Question 12
jamb 1983

A man drove for 4 hours at a certain speed, he then doubled his speed and drove for another 3 hours. Although he covered 600 kilometers. At what speed did he drive for the last 3 hours?

A120km/hr
B60km/hr
C670km/hr
D40km/hr
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Question 13
jamb 1983
Find the mean of the following 24.57, 25.63, 24.32, 26.01, 25.77
A25.12
B25.30
C25.26
D25.50
E25.75
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Question 14
jamb 1983

In a triangle PQT, QR = \(\sqrt{3}cm\), PR = 3cm, PQ = \(2\sqrt{3}\)cm and PQR = 30o. Find angles P and R

AP = 60o and R = 90o
BP = 30o and R = 120o
CP = 90o and R = 60o
DP = 60o and R 60o
EP = 45o and R = 105o
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Question 15
jamb 1983

PQR is the diameter of a semicircle RSP with centre at Q and radius of length 3.5cm. If QPT = 60º. Find the perimeter of the figure PTRS. \(\pi\) = \(\frac{22}{7}\)

A25cm
B18cm
C36cm
D29cm
E25.5cm
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Question 16
jamb 1983

Simplify \(\sqrt[3]{\frac{27a^{-9}}{8}}\).

A\(\frac{9a^2}{2a^3}\)
B\(\frac{3}{2a^3}\)
C\(\frac{2}{3a^2}\)
D\(\frac{3a^2}{2}\)
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Question 17
jamb 1983
On a square paper of length 2.524375cm is inscribed square diagram of length 0.524375cm. Find the area of the paper not covered by the diagram. correct to 3 significant figures.
A6.00cm2
B6.10cm2
C6cmv
D6.09cm2
E4.00cm2
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Question 18
jamb 1983
In a sample survey of a University Community, the following table shows the percentage distribution of the number of members per house hold
\(\begin{array}{c|c} \text{No. of members per household} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & \text{Total} \\ \hline \text{No. of households} & 3 & 12 & 15 & 28 & 21 & 10 & 7 & 4 & 100\end{array}\)

What is the median?
A4
B3
C5
D4.5
ENone
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Question 19
jamb 1983

A ship H leaves a port P and sails 30 km due south. Then it sails 60km due west. What is the bearing of H from P?

A20o 34'
B243o 26'
C116o 34'
D63o 26'
E240o 56'
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Question 20
jamb 1983
One interior angle of a convex hexagon is 170o and each of the remaining interior angles is equal to xo. Find x
A120o
B110o
C105o
D102o
E100o
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