Classroom

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.

46 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

Select subject

Download PHP app Ask a Question Check Syllabus Past Question Videos Topic Video Lessons

Take a test

Custom CBT

Create and set up a CBT environment with your preferred subjects.

JAMB CBT Simulator

Practice JAMB CBT with real UTME past questions in CBT format.

WAEC CBT Practice 2026 Simulator

CB-WASSCE styled past question practice.

NECO CBT Practice 2026 Simulator

SSCE & GCE styled past question practice.

Past Questions

46 questions

Question 1 of 20 46 total questions

Question 1

jamb 1995

The mean and the range of the set of numbers 1.20, 1.00, 0.90, 1.40, 0.80, 1.20, and 1.10 are m and r, respectively. Find m + r

A1.11

B1.65

C1.85

D2.45

View Explanation & Discuss

Question 2

jamb 1995

In the diagram, find PQ if the area of triangle PQR is 35cm\(^2\)

A7cm

B10cm

C14cm

D17cm

View Explanation & Discuss

Question 3

jamb 1995

In the diagram, the base diameter is 14cm while the height is 12cm. Calculate the total surface area if the cylinder has both a base and a top.[\(\pi \frac{22}{7}\)]

A836cm²

B308cm²

C528cm²

D154cm²

View Explanation & Discuss

Question 4

jamb 1995

PT is a tangent to the circle TYZX. YT = YX and < PTX = 50o. Calculate < TZY

A50^o

B65^o

C85^o

D130^o

View Explanation & Discuss

Question 5

jamb 1995

Determine the value of x in the figure

A134^o

B81^o

C53^o

D46^o

View Explanation & Discuss

Question 6

jamb 1995

Use the graph of the curve y = f(x)to solve the inequality f(x) \(\leq\) 0

A-1 \(\geq\) x \(\geq\) 1, x \(\geq\) 2

Bx \(\leq\) -1, 1 \(\geq\) x \(\geq\) 2

Cx \(\geq\) -1, 1 \(\geq\) x \(\geq\) 2

Dx \(\geq\) 2, -1 \(\geq\) x \(\geq\) 1

View Explanation & Discuss

Question 7

jamb 1995

A die has four of it's faces coloured white and the remaining two coloured black. What is the probability that when the die is thrown two consecutive time, the top face will be white in both cases?

A\(\frac{5}{3}\)

B\(\frac{1}{9}\)

C\(\frac{4}{9}\)

D\(\frac{1}{36}\)

View Explanation & Discuss

Question 8

jamb 1995

Let p be a probability function on set S, where S = (a₁, a₂, a₃, a₄). Find P(a₁) if P(a₂) = \(\frac{1}{3}\), p(a₃) = \(\frac{1}{6}\) and p(a₄) = \(\frac{1}{5}\)

A\(\frac{7}{3}\)

B\(\frac{2}{3}\)

C\(\frac{1}{3}\)

D\(\frac{3}{10}\)

View Explanation & Discuss

Question 9

jamb 1995

\(\begin{array}{c|c} \text{Class Interval} & Frequency & \text{Class boundaries} & Class Mid-point \\ \hline 1.5 - 1.9 & 2 & 1.45 - 1.95 & 1.7\\ 2.0 - 2.4 & 21 & 1.95 - 2.45 & 2.2\\ 2.5 - 2.9 & 4 & 2.45 - 2.95 & 2.7 \\ 3.0 - 2.9 & 15 & 2.95 - 3.45 & 3.2\\ 3.5 - 3.9 & 10 & 3.45 - 3.95 & 3.7\\ 4.0 - 4.4 & 5 & 3.95 - 4.45 & 4.2\\ 4.5 - 4.9 & 3 & 4.45 - 4.95 & 4.7\end{array}\)
The median of the distribution above is

A4.0

B3.4

C3.2

D3.0

View Explanation & Discuss

Question 10

jamb 1995

\(\begin{array}{c|c} \text{Class Interval} & Frequency & \text{Class boundaries} & Class Mid-point \\ \hline 1.5 - 1.9 & 2 & 1.45 - 1.95 & 1.7\\ 2.0 - 2.4 & 1 & 1.95 - 2.45 & 2.2\\ 2.5 - 2.9 & 4 & 2.45 - 2.95 & 2.7 \\ 3.0 - 2.9 & 15 & 2.95 - 3.45 & 3.2\\ 3.5 - 3.9 & 10 & 3.45 - 3.95 & 3.7\\ 4.0 - 4.4 & 5 & 3.95 - 4.45 & 4.2\\ 4.5 - 4.9 & 3 & 4.45 - 4.95 & 4.7\end{array}\)
Find the mode of the distribution.

A3.2

B3.3

C3.7

D4.2

View Explanation & Discuss

Question 11

jamb 1995

The variance of the scores 1, 2, 3, 4, 5 is

A1, 2

B1, 4

C2.0

D3.0

View Explanation & Discuss

Question 12

jamb 1995

\(\begin{array}{c|c} class& 1 - 3 & 4 - 6 & 7 - 9\\ \hline Frequency & 5 & 8 & 5\end{array}\)
Find the standard deviation of the data using the table above

B\(\sqrt{6}\)

C\(\frac{5}{3}\)

D\(\sqrt{5}\)

View Explanation & Discuss

Question 13

jamb 1995

The pie chart shows the distribution of students in a secondary school class. If 30 students offered French, how many offered C.R.K?

A25

B15

C10

View Explanation & Discuss

Question 14

jamb 1995

\(\begin{array}{c|c} \text{Age in years} & 13 & 14 & 15 & 16 & 17 \\ \hline \text{No. of students} & 3 & 10 & 30 & 42 & 15\end{array}\)
The frequency distribution above shows the ages of students in a secondary school. In a pie chart constructed to represent the data, the angles corresponding to the 15 years old is

A27^o

B30^o

C54^o

D108^o

View Explanation & Discuss

Question 15

jamb 1995

Find the area bounded by the curve y = 3x\(^2\) - 2x + 1, the ordinates x = 1 and x = 3 and the x-axis.

A24

B22

C21

D20

View Explanation & Discuss

Question 16

jamb 1995

Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y = 5 when x = 2. Find y in terms of x

A2x² - 3x + 5

B2x² - 3x + 3

C2x² - 3x

View Explanation & Discuss

Question 17

jamb 1995

For what value of x is the tangent to the curve y = x\(^2\) - 4x + 3 parallel to the x-axis?

View Explanation & Discuss

Question 18

jamb 1995

The derivative of cosec x is

Atan x cosec x

B-cot x cosec x

Ctan x sec x

D-cot x sec x

View Explanation & Discuss

Question 19

jamb 1995

A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank.

A60m

B30 \(\sqrt{3}\)m

C20 \(\sqrt{3}\)m

D10 \(\sqrt{3}\)m

View Explanation & Discuss

Question 20

jamb 1995

P is on the locus of points equidiatant from two given points X and Y. UV is a straight line throuh Y parallel to the locus. If < PYU is 40°, find < XPY.

A100^o

B80 ^o

C50 ^o

D40 ^o

View Explanation & Discuss

Question Navigator

Current

Mathematics Past Questions

Take a test

Custom CBT

JAMB CBT Simulator

WAEC CBT Practice 2026 Simulator

NECO CBT Practice 2026 Simulator

Past Questions

Question Navigator

MathsFaculty