Mathematics Past Questions

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Past Questions

2,359 questions
Question 1 of 20 2,359 total questions
Question 801
jamb 1993

In the figure, PT is tangent to the circle at U and QU/RS if TUR = 35º and SRU = 50º find x

A95o
B85o
C50o
D35o
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Question 802
jamb 1993

In the diagram, QP//ST:PQR = 34o qrs = 73o and Rs = RT. Find SRT

A68o
B102o
C107o
D141o
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Question 803
jamb 1993

In the diagram, O is the centre of the circle and POQ a diameter. If POR = 96o, find the value of ORQ.

A84o
B48o
C45o
D42o
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Question 804
jamb 1993

In the diagram, PQRS is a circle with O as centre and PQ||RT. If RTS = 32°. Find PSQ

A32o
B45o
C58o
D90o
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Question 805
jamb 1993

PQRST is a regular pentagon and PQVU is a rectangle with U and V lying on TS and SR respectively as shown in the diagram. Calculate TUP

A18o
B54o
C90o
D108o
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Question 806
jamb 1993
The figure represents the graphs of y = x(2 - x) and y = (x - 1)(x - 3). What are the x-coordinates of P, Q and F respectively?
A1, 3, 2
B0, 0, 0
C0, 2, 3
D1, 2, 3
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Question 807
jamb 1993

The shaded portion in the venn diagram is

Ax \(\cap\) z
Bxo \(\cap\) y \(\cap\) z
Cx \(\cap\) yo \(\cap\) z
Dx \(\cap\) y \(\cap\) zo
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Question 808
jamb 1993

The chances of three independent events X, Y, Z occurring are \(\frac{1}{2}\), \(\frac{2}{3}\), \(\frac{1}{4}\) respectively. What are the chances of Y and Z only occurring?

A\(\frac{1}{8}\)
B\(\frac{1}{24}\)
C\(\frac{1}{12}\)
D\(\frac{1}{4}\)
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Question 809
jamb 1993
Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13.
A2
B4
C10
D11
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Question 810
jamb 1993
A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime
A\(\frac{2}{11}\)
B\(\frac{5}{11}\)
C\(\frac{6}{11}\)
D\(\frac{8}{11}\)
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Question 811
jamb 1993
\(\begin{array}{c|c} Class & Frequency\\ \hline 1 - 5 & 2\\6 - 10 & 4\\11 - 15 & 5\\16 - 20 & 2 \\ 21 - 25 & 3\\26 - 30 & 2\\31 - 35 & 1\\36 - 40 & 1 \end{array}\)
Find the median of the observation in the table given
A11.5
B12.5
C14.0
D14.5
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Question 812
jamb 1993
The mean of the ages of ten secondary school pupils is 16 but when the age of their teacher is added to it the men becomes 19. Find the age of the teacher
A27
B35
C38
D49
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Question 813
jamb 1993

\(\begin{array}{c|c} Weight(s) & 0 -10 & 10 - 20 & 20 - 30 &30 - 40 & 40 - 50\\ \hline \text{Number of coconuts} & 10 & 27 & 19 & 6 & 2\end{array}\)

Weight(g) 0-10 10-20 20-30 30-40 40-50
No. of coconuts 10 27 19 6 2

Estimate the mode of the frequency distribution above

A13.2g
B15.0g
C16.8g
D17.5g
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Question 814
jamb 1993
The following marks were obtained by twenty students in an examination: 53, 30, 70, 84, 59, 43, 90, 20, 78, 48, 44, 60, 81, 73, 50, 37, 67, 68, 64, 52. Find the numbers of students who scored at least 50 marks
A6
B10
C13
D14
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Question 815
jamb 1993
Quantities in the proportions 1, 4, 6, 7 are to be represented in a pie chart. Calculate the angle of the sector with proportion 7
A20o
B80o
C120o
D140o
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Question 816
jamb 1993

If two angles of a triangle are 30° each and the longest side is 10cm. Calculate the length of each of the other sides.

A5cm
B4cm
C3√3 cm
D\(\frac{10\sqrt{3}}{3}\)cm
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Question 817
jamb 1993

If sin \(\theta\) = cos \(\theta\), find \(\theta\) between 0o and 360o

A45o, 225o
B135o, 315o
C45o, 315o
D135o, 225o
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Question 818
jamb 1993
The angle between latitudes 30oS and 13oN is
A17o
B33o
C43o
D53o
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Question 819
jamb 1993
Find the area of the sector of a circle with radius 3m, if the angle of the sector is 60o
A4.0m2
B1m2
C4.7m2
D5.0m2
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Question 820
jamb 1993
find the radius of a sphere whose surface area is 154cm2 (\(\pi = \frac{22}{7}\))
A7.00cm
B3.50cm
C3.00cm
D1.75cm
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