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 11
jamb 2012

If angle \(\theta\) is 135o, evaluate cos\(\theta\)

A\(\frac{1}{2}\)
B\(\frac{\sqrt{2}}{2}\)
C\(-\frac{\sqrt{2}}{2}\)
D\(-\frac{1}{2}\)
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Question 12
jamb 2012

Find the equation of the line through the points (-2, 1) and (-\(\frac{1}{2}\), 4)

Ay = 2x - 3
By = 2x + 5
Cy = 3x - 2
Dy = 2x + 1
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Question 13
jamb 2012
The distance between the point (4, 3) and the intersection of y = 2x + 4 and y = 7 - x is
A\(\sqrt{13}\)
B\(3\sqrt{2}\)
C\(\sqrt{26}\)
D\(10\sqrt{5}\)
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Question 14
jamb 2012
The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is
A\(\frac{1}{2}\)
B\(\frac{2}{5}\)
C\(-\frac{4}{7}\)
D\(-\frac{2}{3}\)
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Question 15
jamb 2012
Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.
A3.92cm3
B2.13cm3
C1.97cm3
D1.62cm3
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Question 16
jamb 2012

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.

A24o
B30o
C33o
D36o
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Question 17
jamb 2012
Given that I3 is a unit matrix of order 3, find |I3|
A-1
BO
C1
D2
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Question 18
jamb 2012
If \(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\), find the value of x
A3
B4
C5
D7
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Question 19
jamb 2012

The binary operation on the set of real numbers is defined by m*n = \(\frac{mn}{2}\) for all m, n \(\in\) R. If the identity element is 2, find the inverse of -5

A\(-\frac{4}{5}\)
B\(-\frac{2}{5}\)
C4
D5
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Question 20
jamb 2012
The binary operation * is defined on the set of integers such that p * q = pq + p - q. Find 2 * (3 * 4)
A11
B13
C15
D22
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Question 21
jamb 2012
The sum to infinity of a geometric progression is \(-\frac{1}{10}\) and the first term is \(-\frac{1}{8}\). Find the common ratio of the progression.
A\(-\frac{1}{5}\)
B\(-\frac{1}{4}\)
C\(-\frac{1}{3}\)
D\(-\frac{1}{2}\)
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Question 22
jamb 2012
The nth term of a sequence is n2 - 6n - 4. Find the sum of the 3rd and 4th terms.
A24
B23
C-24
D-25
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Question 23
jamb 2012
Find the range of values of m which satisfy (m - 3)(m - 4) < 0
A2 < m < 5
B-3 < m < 4
C3 < m < 4
D-4 < m < 3
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Question 24
jamb 2012

The value of y for which \(\frac{1}{5}y + \frac{1}{5} < \frac{1}{2}y + \frac{2}{5}\) is

A\(y > \frac{2}{3}\)
B\(y < \frac{2}{3}\)
C\(y > -\frac{2}{3}\)
D\(y < -\frac{2}{3}\)
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Question 25
jamb 2012

U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3

A24
B27
C32
D36
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Question 26
jamb 2012

If y varies directly as \(\sqrt{n}\) and y = 4 when n = 4, find y when n = 1\(\frac{7}{9}\)

A\(\sqrt{17}\)
B\(\frac{4}{3}\)
C\(\frac{8}{3}\)
D\(\frac{2}{3}\)
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Question 27
jamb 2012
Solve for x and y in the equations below
x2 - y2 = 4
x + y = 2
Ax = 0, y = -2
Bx = 0, y = 2
Cx = 2, y = 0
Dx = -2, y = 0
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Question 28
jamb 2012
Find the remainder when 2x3 - 11x2 + 8x - 1 is divided by x + 3
A-871
B-781
C-187
D-178
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Question 29
jamb 2012
Make 'n' the subject of the formula if w = \(\frac{v(2 + cn)}{1 - cn}\)
A\(\frac{1}{c}(\frac{w - 2v}{v + w})\)
B\(\frac{1}{c}(\frac{w - 2v}{v - w})\)
C\(\frac{1}{c}(\frac{w + 2v}{v - w})\)
D\(\frac{1}{c}(\frac{w + 2v}{v + w})\)
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Question 30
jamb 2012

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

A1
B2
C3
D4
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