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 1971: In how many ways can 3 seats be occupied if 5 people are willing to sit? Options:
  A) 60
  B) 20
  C) 5
  D) 120
  Show Answer
  The correct answer is A .
• Question 1972:

  

  In the diagram, angle QPR = 90${}^{\circ }$, angle PSR = 90${}^{\circ }$ and PR = 5 units. Find the length of QS.

  Options:
  A) 5 tan 25${}^{\circ }$ sin 65${}^{\circ }$
  B) 5 cos 25${}^{\circ }$ sin 65${}^{\circ }$
  C) 5 tan 25${}^{\circ }$ cos 65${}^{\circ }$
  D) cos 25${}^{\circ }$ cos 65${}^{\circ }$
  E) 5 cosec 25${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 1973: A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room Options:
  A) $\frac{5}{17}$
  B) $\frac{8}{17}$
  C) $\frac{8}{15}$
  D) $\frac{12}{17}$
  Show Answer
  The correct answer is A .
• Question 1974:

  I.S∩T∩W=S II. S∪T∪W=S

  III. T∩W=S

  If S⊂T⊂W, which of the above statements are true?

  Options:
  A) I and II
  B) I and III
  C) II and III
  D) I, II and III
  Show Answer
  The correct answer is D .
• Question 1975:

  A train moves from P to Q at an average speed of 90km/h and immediately returns from Q to P through the same route at an average speed of 45km/h. Find the average speed for the entire journey

  Options:
  A) 55.00km/h
  B) 60.00km/h
  C) 67.50km/h
  D) 75.00km/h
  Show Answer
  The correct answer is B .
• Question 1976: If n is the median and m is the mode of the following set of numbers, 2.4, 2.1, 1.6, 2.6, 2.6, 3.7, 2.1, 2.6, then (n, m) is Options:
  A) (2.6, 2.6)
  B) (2.5, 2.6)
  C) (2.6, 2.5)
  D) (2.5, 2.1)
  Show Answer
  The correct answer is B .
• Question 1977: Evaluate 1 − ($\frac{1}{5}$ + 1$\frac{2}{3}$) + (5 + 1$\frac{2}{3}$) Options:
  A) 4
  B) 3
  C) 2$\frac{2}{3}$
  D) 3 $\frac{2}{3}$
  Show Answer
  The correct answer is D .
• Question 1978: The locus of a point which is equidistant from the line PQ forms a Options:
  A) circle centre P
  B) pair of parallel lines each opposite to PQ
  C) circle centre Q
  D) perpendicular line to PQ
  Show Answer
  The correct answer is D .
• Question 1979: If y = (2x + 2)³, find $\frac{\delta x}{\delta y}$ Options:
  A) 3(2x +2)²
  B) 6(2x +2)
  C) 3(2x +2)
  D) 6(2x +2)²
  Show Answer
  The correct answer is D .
• Question 1980: If P = $\sqrt{\frac{r{s}^3}{t}}$, express r in terms of p, s and t. Options:
  A) $\frac{p^{2}t}{s^3}$
  B) $\frac{p^{3}t}{s^3}$
  C) $\frac{p^{3}t}{s^2}$
  D) $\frac{pt}{s^3}$
  Show Answer
  The correct answer is A .