Mathematics Exam Past Questions and Answers | JAMB, WAEC and NECO

Mathematics looks at measurement, relationships, and properties of numbers and groups using numbers and symbols. Important topics in math include arithmetic, algebra, geometry, and calculus.

• Question 1531: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 1532: Write h in terms of a, b, c, d if a = $\frac{b(1-ch)}{a-dh}$ Options:
  A) h = $\frac{a-b}{ad}$
  B) h = $\frac{1-b}{ad-bc}$
  C) h = $\frac{(a-b{)}^2}{ad-bc}$
  D) h = $\frac{a-b}{ad-bc}$
  E) h = $\frac{b-a}{ab-dc}$
  Show Answer
  The correct answer is D .
• Question 1533: At what rate will the interest on ₦400 increases to ₦24 in 3 years reckoning in simple interest? Options:
  A) 3%
  B) 2%
  C) 5%
  D) 4%
  Show Answer
  The correct answer is B .
• Question 1534: An arc subtends an angle of 30^o at the centre of a circle radius 12cm. Calculate the length of the arc. Options:
  A) 6$\pi$cm
  B) 2$\pi$cm
  C) 3$\pi$cm
  D) 9$\pi$cm
  Show Answer
  The correct answer is B .
• Question 1535: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 1536: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 1537:

  The result of rolling a fair die 150 times is as summarized in the table given.

  $\begin{array}{ccccccc}\text{Number}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 12& 18& x& 30& 2x& 45\end{array}$

  What is the probability of obtaining a 5?

  Options:
  A) $\frac{3}{10}$
  B) $\frac{1}{5}$
  C) $\frac{1}{6}$
  D) $\frac{1}{10}$
  Show Answer
  The correct answer is B .
• Question 1538: A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20^o. How far is the car from the bottom of the tower to the nearest metre? Options:
  A) 184m
  B) 185m
  C) 186m
  D) 187m
  Show Answer
  The correct answer is D .
• Question 1539:

  A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pipe is 10cm.Find the volume of metal used in making 3m of the pipe.

  Options:
  A) 153$\pi$cm³
  B) 207$\pi$cm³
  C) 15 300$\pi$cm³
  D) 20 700$\pi$cm³
  Show Answer
  The correct answer is D .
• Question 1540:
  

  In this fiqure, PQ = PR = PS and SRT = 68${}^o$. Find QPS

  Options:
  A) 136${}^o$
  B) 124${}^o$
  C) 112${}^o$
  D) 68${}^o$
  Show Answer
  The correct answer is A .