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Mathematics Past Questions

Study and practice Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.

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

47 questions
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Question 1 of 20 47 total questions
Question 11
jamb 1985
If the hypotenuse of right angled isosceles triangle is 2, what is the length of each of the other sides?
A\(\sqrt{2}\)
B\(\frac{1}{2}\)
C22
D1
E2 - 1
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Question 12
jamb 1985

The number of goals scored by a football team in 20 matches is shown below
\(\begin{array}{c|c} \text{No. of goals} & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline \text{No. of matches} & 3 & 5 & 7 & 4 & 1 & 0 \end{array}\)
What are the values of the mean and the mode respectively?

A(1.75, 5)
B(1.75, 2)
C(1.75, 1)
D(65, 74)
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Question 13
jamb 1985

Find the missing value in the table below
\(\begin{array}{c|c} x & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline y = 4 - 3x - x^3 & 80 & & 18 & 8 & 4 & 0 & -10 & -32 \end{array}\)

A-32
B-14
C40
D22
E37
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Question 14
jamb 1985
In \(\bigtriangleup\) XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = \(\theta\). Find cos\(\theta\)o
A\(\frac{4}{39}\)
B\(\frac{43}{39}\)
C\(\frac{209}{3}\)
D\(\frac{43}{78}\)
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Question 15
jamb 1985
If f(x - 2) = 4x2 + x + 7, find f(1)
A12
B27
C7
D46
E17
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Question 16
jamb 1985

Solve the simultaneous equations 2x - 3y + 10,  10x - 6y = - 5

Ax = 2\(\frac{1}{2}\), y = 5
Bx = \(\frac{1}{2}\), y = \(\frac{3}{2}\)
Cx = 2\(\frac{1}{4}\), y = 3\(\frac{1}{2}\)
Dx = 2\(\frac{1}{3}\), y = 3\(\frac{1}{2}\)
Ex = 2\(\frac{1}{3}\), y = 2\(\frac{1}{2}\)
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Question 17
jamb 1985

Solve the following equation \(\frac{2}{2r - 1}\) - \(\frac{5}{3}\) = \(\frac{1}{r + 2}\)

A(\(\frac{5}{2}\), 1)
B(5, -4)
C(2, 1)
D(1, \(\frac{-5}{2}\))
E(1,-2)
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Question 18
jamb 1985

Solve for (x, y) in the equation 2x + y = 4: x^2 + xy = -12

A(6, -8): (-2, 8)
B(3, -4): (-1, 4)
C(8, -4): (-1, 4)
D(-8, 6): (8, -2)
E(-4, 3): (4, -1)
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Question 19
jamb 1985
If the quadratic function 3x2 - 7x + R is a perfect square, find R
A\(\frac{49}{24}\)
B\(\frac{49}{12}\)
C\(\frac{49}{13}\)
D\(\frac{49}{3}\)
E\(\frac{49}{36}\)
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Question 20
jamb 1985
At what real value of x do the curves whose equations are y = x3 + x and y = x2 + 1 intersect?
A-2
B2
C-1
D9
E1
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Question 21
jamb 1985
Factorize abx2 + 8y - 4bx - 2axy
A(ax - 4)(bx - 2y)
B(ax + b)(x - 8y)
C(ax - 2y)(bx - 4)
D(bx - 4)(ax - 2y)
E(abx - 4)(x - 2y)
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Question 22
jamb 1985
If 32y + 6(3y) = 27. Find y
A3
B-1
C2
D-3
E1
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Question 23
jamb 1985
The factors of 9 - (x2 - 3x - 1)2 are
A-(x - 4)(x + 1) (x - 1)(x - 2)
B(x - 4)(x - 2) (x - 1)(x + 1)
C-(x - 2)(x + 1) (x - 2) (x - 1)
D(x - 2)(x + 2) (x - 1)(x + 1)
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Question 24
jamb 1985
In a restaurant, the cost of providing a particular type of food is partly constant and partially inversely proportional to the number of people. If cost per head for 100 people is 30k and the cost for 40 people is 60k, Find the cost for 50 people?
A15k
B20k
C50k
D40k
E45k
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Question 25
jamb 1985

\((\sqrt[4]{3} + \sqrt[4]{2})(\sqrt[4]{3} - \sqrt[4]{2})(\sqrt{3} + \sqrt{2})\) is equal to

A1
B(\(\sqrt{2} + 4\sqrt{2}\))
C(6\(\sqrt{2}\)
D8
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Question 26
jamb 1985

If \(e^{x} = 1 + x + \frac{x^{2}}{1.2} + \frac{x^{3}}{1.2.3} + ... \), find \(\frac{1}{e^{\frac{1}{2}}}\)

A1 - \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^3}{2^4.3}\) + .........
B1 - \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^4}{2.4.3}\) + ..
C1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2}\) + \(\frac{x^3}{1.2.3}\) + \(\frac{x^4}{1.23.4}\) + .........
D1 - x + \(\frac{x^2}{1.2^3}\) + \(\frac{x^3}{2^4.3}\) + .........
E1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^4}{1.2.6}\) + .........
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Question 27
jamb 1985

Find the values of p for which the equation x\(^2\) - (p - 2)x + 2p + 1 = 0

A(21, 0)
B(0, 12)
C(1, 2)
D(3, 4)
E(4, 5)
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Question 28
jamb 1985
22\(\frac{1}{2}\)% of the Nigerian Naira is equal to 17\(\frac{1}{10}\)% of a foreign currency M. What is the conversion rate of the M to the Naira?
A1M = 1\(\frac{15}{57}\)N
B1M = 38\(\frac{1}{4}\)N
C1M = 1\(\frac{18}{57}\)N
D1M = 384\(\frac{3}{4}\)N
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Question 29
jamb 1985

Write h in terms of a, b, c, d if a = \(\frac{b(1 - ch)}{1 - dh}\)

Ah = \(\frac{a - b}{ad}\)
Bh = \(\frac{1 - b}{ad - bc}\)
Ch = \(\frac{(a - b)^2}{ad - bc}\)
Dh = \(\frac{a - b}{ad - bc}\)
Eh = \(\frac{b - a}{ab - dc}\)
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Question 30
jamb 1985

Find x if log\(_9\)x = 1.5

A72.0
B27.0
C36.0
D3.5
E24.5
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