Mathematics Past Questions

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

51 questions
Question 1 of 20 51 total questions
Question 1
jamb 1993

The bar chart shows the distribution of marks in a class test. How many students took the test?

A15
B20
C25
D30
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Question 2
jamb 1993

From the figure, calculate TH in centimeters

A\(\frac{5}{\sqrt{3} + 1}\)
B\(\frac{5}{\sqrt{3} - 1}\)
C\(\frac{5}{\sqrt{3}}\)
D\(\frac{\sqrt{3}}{5}\)
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Question 3
jamb 1993
In the figure, the area of the square of the square PQRS is 100cm2. If the ratio of the area of the square TUYS to the area of the area of the square XQVU is 1 : 16, Find YR
A6cm
B7cm
C8cm
D9cm
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Question 4
jamb 1993
In the figure, the line segment ST is tangent to two circles at S and T. O and Q are the centres of the circles wih OS = 5cm. QT = 2cm and OR = 14cm. Find ST
A7 \(\sqrt{3}\)cm
B12.9cm
C\(\sqrt{87}\)cm
D7cm
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Question 5
jamb 1993

In the diagram, QPS = SPR, PR = 9cm. PQ = 4cm and QS = 3cm, find SR.

A6\(\frac{3}{4}\)cm
B3\(\frac{3}{8}\)cm
C4\(\frac{3}{8}\)cm
D2\(\frac{3}{8}\)cm
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Question 6
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 7
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 8
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 9
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 10
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 11
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 12
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 13
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 14
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 15
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 16
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 17
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 18
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 19
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 20
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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