Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 2011
jamb 1986

Find the smallest number by which 252 can be multiplied to obtain a perfect square

A2
B3
C5
D7
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Question 2012
jamb 1986
Divide the L.C.M of 48, 64, and 80 by their H.C.F
A20
B30
C48
D60
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Question 2013
jamb 1986
If Musa scored 75 in biology instead of 57, his average mark in four subjects would have been 60. What was his total mark?
A282
B240
C222
D210
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Question 2014
jamb 1986
Evaluate (212)3 - (121)3 + (222)3
A(313)3
B(1000)3
C(1020)3
D(1222)3
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Question 2015
jamb 1985
In the figure, find angle x
A100o
B120o
C60o
D110o
E140o
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Question 2016
jamb 1985

In the figure, the area of the shaded segment is

A3\(\pi\)
B9\(\frac{\sqrt{3}}{4}\)
C3 (\(\pi - 3 \frac{\sqrt{3}}{4}\))
D\(\frac{(\sqrt{3 - \pi)}}{4}\)
E\(\pi + \frac{9 \sqrt{3}}{4}\)
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Question 2017
jamb 1985

In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QPR = \(\theta\)o and RQP = \(\phi\)o, which of the following relationships between \(\theta\)o and \(\phi\)o is correct

A\(\theta\)o + \(\phi\)o = 902
B\(\phi\)o = 902 - 2\(\theta\)o
C\(\theta\)o = \(\phi\)o
D\(\phi\)o = 2\(\theta\)o
E\(\theta\)o + 2\(\phi\)o
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Question 2018
jamb 1985
In the figure, GHIJKLMN is a cube of side a. Find the length of HN.
A\(\sqrt{3a}\)
B3a
C3a2
Da\(\sqrt{2}\)
Ea\(\sqrt{3}\)
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Question 2019
jamb 1985

In the figure POQ is the diameter of the circle PQR. If PSR = 145o, find xo

A25o
B35o
C45o
D125o
E55o
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Question 2020
jamb 1985

In the figure, MNQP is a cyclic quadrilateral. MN and Pq are produced to meet at X and NQ and MP are produced to meet at Y. If MNQ = 86o and NQP = 122o find (xo, yo)

A28o, 36o
B36o, 28o
C43o, 61o
D61o, 43o
E36o, 43o
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Question 2021
jamb 1985

In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XZ = 25cm and YK = 8cm. Find the area of \(\bigtriangleup\)XYZ

A190 sq.cm
B20 sq.cm
C210 sq.cm
D160sq.cm
E320sq.cm
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Question 2022
jamb 1985
If a{\(\frac{x + 1}{x - 2} - \frac{x - 1}{x + 2}\)} = 6x. Find a in its simplest form
Ax2 - 1
Bx2 + 1
Cx2 + 4
Dx2 - 4
E1
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Question 2023
jamb 1985
In a class of 120 students, 18 of them scored an A grade in mathematics. If the section representing the A grade students on a pie chart has angle Zo at the centre of the circle, what is Z?
A15
B27
C50
D52
E54
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Question 2024
jamb 1985
Two points X and Y both on latitude 60oS have longitude147oE and 153oW respectively. Find to the nearest kilometer the distance between X and Y measured along the parallel of latitude(Take 2\(\pi\)R = 4 x 104km, where R is the radius of the earth)
A16667km
B28850km
C8333km
D2233km
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Question 2025
jamb 1985
A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red?
A\(\frac{2}{3}\)
B\(\frac{2}{15}\)
C\(\frac{1}{2}\)
D\(\frac{1}{3}\)
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Question 2026
jamb 1985
PRSQ is a trapezium of area 14cm2 in which PQ||RS. If PQ = 4cm and SR = 3cm, Find the area of SQR in cm2
A7.0
B6.0
C5.2
D5.0
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Question 2027
jamb 1985

A solid sphere of radius 4cm has a mass of 64kg. What will be the mass of a shell of the same metal whose internal and external radii are 2cm and 3cm respectively?

A5kg
B16kg
C19kg
D6kg
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Question 2028
jamb 1985

If cos \(\theta\) = \(\frac{\sqrt{3}}{2}\) and \(\theta\) is less than 90o. Calculate \(\frac{\cot(90 - \theta)}{sin^2\theta}\)

A\(\frac{4}{\sqrt{3}}\)
B\(4 \sqrt{3}\)
C\(\sqrt{\frac{3}{2}}\)
D\(\frac{1}{\sqrt{3}}\)
E\(\frac{2}{\sqrt{3}}\)
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Question 2029
jamb 1985

Find the area of a regular hexagon inscribed in a circle of radius 8cm

A16\(\sqrt{3}\) cm3
B96\(\sqrt{3}\) cm3
C192\(\sqrt{3}\) cm3
D16\(\sqrt{3}\) cm2
E33cm2
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Question 2030
jamb 1985

What is the probability that a number chosen at random from the intergers between 1 and 10 inclusive is either a prime or a multiple of 3?

A\(\frac{7}{10}\)
B\(\frac{3}{5}\)
C\(\frac{4}{5}\)
D\(\frac{3}{10}\)
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