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.

2,359 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
Download PHP app Ask a Question Check Syllabus Past Question Videos Topic Video Lessons

Take a test

Past Questions

2,359 questions
Question 1 of 20 2,359 total questions
Question 1021
jamb 1984

Simplify (1 + \(\frac{\frac{x - 1}{1}}{\frac{1}{x + 1}}\))(x + 2)

A(x2 - 1)(x + 2)
Bx2(x + 2)
C2 + 34
D\(\frac{3x^2 - 1}{(x - 1)}\)
View Explanation & Discuss
Question 1022
jamb 1984

If a = \(\frac{2x}{1 - x}\) and b = \(\frac{1 + x}{1 - x}\), then a2 - b2 in the simplest form is

A\(\frac{3x + 1}{x - 1}\)
B\(\frac{3x^2 - 1}{(x - 1)}\)2
Cx\(\frac{3x - 2}{1 - x}\)
D\(\frac{3x^2 - 1}{(x - 1)}\)
View Explanation & Discuss
Question 1023
jamb 1984
The sides of a triangle are(x + 4)cm, xcm and (x - 4)cm, respectively If the cosine of the largest angle is \(\frac{1}{5}\), find the value of x
A24cm
B20cm
C28cm
D7cm
E\(\frac{88}{7}\)
View Explanation & Discuss
Question 1024
jamb 1984
A cone is formed by bending a sector of a circle having an angle of 210o. Find the radius of the base of the cone if the diameter of the circle is 12cm.
A12cm
B7.00cm
C1.75cm
D21cm
E3.50cm
View Explanation & Discuss
Question 1025
jamb 1984
If (x - 2) and (x + 1) are factors of the expression x3 + px2 + qx + 1, what is the sum of p and q
A9
B-3
C3
D\(\frac{17}{3}\)
E\(\frac{2}{3}\)
View Explanation & Discuss
Question 1026
jamb 1984

Find a factor which is common to all three binomial expressions 4a2 - 9b2, 8a3 + 27b3, (4a + 6b)2

A4a + 6b
B4a - 6b
C2a + 3b
D2a - 3b
Enone
View Explanation & Discuss
Question 1027
jamb 1984

The quadratic equation whose roots are 1 - \(\sqrt{13}\) and 1 + \(\sqrt{13}\) is?

Ax2 + (1 - \(\sqrt{13}\)x + 1 + \(\sqrt{13}\) = 0
Bx2 - 2x - 12 = 0
Cx2 - 2x + 12 = 0
Dx2 + 12 + 2x2 = 0
View Explanation & Discuss
Question 1028
jamb 1984

If f(x) = 2(x - 3)\(^2\) + 3(x - 3) + 4 and g(y) = \(\sqrt{5 + y}\), find g [f(3)] and f[g(4)].

A3 and 4
B-3 and 4
C-3 and -4
D3 and -4
E0 and 5
View Explanation & Discuss
Question 1029
jamb 1984

Tunde and Shola can do a piece of work in 18 days. Tunde can do it alone in x days, whilst Shola takes 15 days longer to do it alone. Which of the following equations is satisfied by x?

Ax2 - 5x - 10 = 0
Bx2 - 20x + 360 = 0
Cx2 - 21x - 270 = 0
D3x2 - 65x + 362 = 0
View Explanation & Discuss
Question 1030
jamb 1984
If 2x + 3y = 1 and x - 2y = 11, find (x + y)
A5
B-3
C8
D2
E-2
View Explanation & Discuss
Question 1031
jamb 1984

In a racing competition, Musa covered a distance 5x km in the first hour and (x + 10)km in the next hour. He was second to Nzozi who covered a total distance of 118km in the two hours. Which of the following inequalities is correct?

A-1 < x < x < 0
B-3 < x < 3
C0 \(\leq\) x < 18
D15 < x < 18
View Explanation & Discuss
Question 1032
jamb 1984
The table below is drawn for a graph y = x3 - 3x + 1
\(\begin{array}{c|c} x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\\hline y = x^3 - 3x + 1 & 1 & -1 & 3 & 1 & -1 & 3 & 1\end{array}\)
From x = -2 to x = 1, the graph crosses the x-axis in the range(s)
A-1 < x < 0 and 0 < x < 1
B-2 < x < -1 and 0 < x < 1
C-2 < x < -1 and -1 < x < 0
D0 < x < 1
View Explanation & Discuss
Question 1033
jamb 1984

A straight line y = mx meets the curve y = x2 - 12x + 40 in two distinct points. If one of them is (5, 5) find the other

A(5, 6)
B(8, 8)
C(8, 5)
D(7,7)
E(7, 5)
View Explanation & Discuss
Question 1034
jamb 1984

Factorize 6x2 - 14x - 12

A2(x + 3)(3x - 2)
B6(x - 2)(x + 1)
C2(x - 3)(3x + 2)
D6(x + 2)(x - 1)
E(3x - 4)(2x + 3)
View Explanation & Discuss
Question 1035
jamb 1984

p varies directly as the square of q and inversely as r. If p = 36, when q = 3, when r = 4, find p when q = 5 and r = 2.

A72
B100
C90
D200
E125
View Explanation & Discuss
Question 1036
jamb 1984

Simplify \(\frac{3^n - 3^{n - 1}}{3^3 \times 3^n - 27 \times 3^{n - 1}}\)

A1
B6
C\(\frac{1}{27}\)
D\(\frac{4}{3}\)
View Explanation & Discuss
Question 1037
jamb 1984

Rationalize \(\frac{5\sqrt{7} - 7\sqrt{5}}{\sqrt{7} - \sqrt{5}}\)

A-2 \(\sqrt{35}\)
B4\(\sqrt{7}\) - 6\(\sqrt{5}\)
C-\(\sqrt{35}\)
D4\(\sqrt{7}\) - 8\(\sqrt{5}\)
E\(\sqrt{35}\)
View Explanation & Discuss
Question 1038
jamb 1984
A trader in country where their currency 'MONI'(M) is in base five bought 1035 oranges at M145 each. If he sold the oranges at M245 each, what will be his gain?
A1035
B10305
C1025
D20025
E30325
View Explanation & Discuss
Question 1039
jamb 1984
A variable point p(x, y) traces a graph in a two-dimensional plane. (0, 3) is one position of P. If x increases by 1 unit, y increases by 4 units. The equation of the graph is
A-3 = \(\frac{y + 4}{x + 1}\)
B4y = -3 + x
C\(\frac{y}{x}\) = \(\frac{-3}{4}\)
D4x = y + 3
View Explanation & Discuss
Question 1040
jamb 1984

Find, without using logarithm tables, the value of \(\frac{log_3 27 - log_{\frac{1}{4}} 64}{log_3 \frac{1}{81}}\)

A\(\frac{-3}{9}\)
B\(\frac{-3}{2}\)
C\(\frac{6}{11}\)
D\(\frac{43}{78}\)
View Explanation & Discuss
Question Navigator
Current
MathsFaculty