Mathematics Past Questions

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

135 questions
Question 1 of 15 135 total questions
Question 61
jamb 2001

A point P moves such that it is equidistant from Points Q and R. Find QR when PR = 8cm and angle PRQ = 30°

A4√3cm
B8cm
C8√3cm
D4cm
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Question 62
jamb 2001

A sector of a circle of radius 7.2cm which subtends an angle of 300° at the centre is used to form a cone. What is the radius of the base of the cone?

A8cm
B6cm
C9cm
D7cm
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Question 63
jamb 2001
Factorize 4x2 - 9y2 + 20x + 25
A(2x -3y + 5)(2x - 3y - 5)
B(2x - 3y)(2x + 3y)
C(2x - 3y +5)(2x + 3y + 5)
D(2x + 5)(2x - 9y +5)
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Question 64
jamb 2001
The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to
Azero
Bhalf of the common difference
Cdouble the common difference
Dthe common difference
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Question 65
jamb 2001
An operation * is defined on the set of real numbers by a*b = a + b + 1. If the identity elements is -1, find the inverse of the element 2 under *.
A4
Bzero
C-2
D-4
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Question 66
jamb 2001
Solve the equations
m2 + n2 = 29
m + n = 7
A(2, 3) and ( 3, 5)
B(2, 5) and (5, 2)
C(5, 2) and ( 5, 3)
D(5, 3) and (3, 5)
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Question 67
jamb 2001

If two graphs y = px\(^2\) + q and y = 2x\(^2\) -1 intersect at x = 2, find the value of p in terms q.

A\(\frac{q-8}{7}\)
B\(\frac{7-q}{4}\)
C\(\frac{8-q}{2}\)
D\(\frac{7+q}{8}\)
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Question 68
jamb 2001

Divide: \(a^{3x} - 26a^{2x} + 156a^{x} - 216\) by \(a^{2x} - 24a^{x} + 108\).

Aax - 2
Bax + 2
Cax - 8
Dax - 6
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Question 69
jamb 2001

Evaluate \(\frac{(0.14^2 \times 0.275)}{7(0.02)}\) to 3 decimal places.

A0.039
B0.385
C0.033
D0.038
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Question 70
jamb 2001
Find the principal which amounts to N5,500 at a simple interest in 5 years at 2% per annum.
AN4,900
BN5,000
CN4,700
DN4,800
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Question 71
jamb 2001

If \(x = \frac{y}{2}\),evaluate\(\left(\frac{x^{3}}{y^{3}}+\frac{1}{2}\right) \div \left(\frac{1}{2} - \frac{x^{2}}{y^{2}}\right)\)

A5/8
B5/2
C5/32
D5/16
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Question 72
jamb 2001
A car dealer bought a second-hand car for N250,000 and spent N70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?
A60%
B32%
C25%
D20%
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Question 73
jamb 2001

Given that \(p = 1 + \sqrt{2}\) and \(q = 1 - \sqrt{2}\), evaluate \(\frac{p^{2} - q^{2}}{2pq}\).

A2(2+√2)
B-2(2+√2)
C2√2
D-2√2
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Question 74
jamb 2001

Simplify \((\sqrt[3]{64a^{3}})^{-1}\)

A4a
B1/8a
C8a
D1/4a
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Question 75
jamb 2001
Evaluate 21.05347 - 1.6324 x 0.43 to 3 decimal places
A20.980
B20.351
C20.981
D20.352
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