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 1251:

  Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.

  Options:
  A) 24°
  B) 56°
  C) 127°
  D) 156°
  Show Answer
  The correct answer is D .
• Question 1252: Find the distance between two towns p(45^o N, 30^oW) and Q(15^oS, 30^oW) if the radius of the earth is 7000km. [$\pi =\frac{22}{7}$] Options:
  A) $\frac{1100}{3}$km
  B) $\frac{2200}{3}$km
  C) $\frac{22000}{3}$km
  D) $\frac{1100}{3}$km
  Show Answer
  The correct answer is C .
• Question 1253: Find all values of x satisfying the inequality -11 $\le$ 4 - 3x $\le$ 28
  Options:
  A) -5 $\le$ x v 8
  B) 5 $\le$ x $\le$ 8
  C) -8 $\le$ x $\le$ 5
  D) -5 < x $\le$ 8
  Show Answer
  The correct answer is C .
• Question 1254:

  In how many ways can the word MATHEMATICIAN be arranged?

  Options:
  A) 6794800 ways
  B) 2664910 ways
  C) 6227020800 ways
  D) 129729600 ways
  Show Answer
  The correct answer is D .
• Question 1255: The arithmetic mean of the ages of 30 pupils in a class is 15.3 years. One boy leaves the class and one girl is enrolled, and the new average age of 30 pupils in the class becomes 15.2 years. How much older is the boy than the girl? Options:
  A) 30 years
  B) 6 years
  C) 9 years
  D) 3 years
  E) 1 year
  Show Answer
  The correct answer is D .
• Question 1256: A chord of a circle subtends an angle of 12o degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector. Options:
  A) 4π cm²
  B) 32 π cm²
  C) 16 π cm²
  D) 8 π cm²
  Show Answer
  The correct answer is D .
• Question 1257: The angle of elevation of the top of a vertical tower from a point A on the ground is 60${}^{\circ }$. From a point B, 2 units of distance further away from the foot of the tower, the angle of elevation of the tower is 45${}^{\circ }$. Find the distance of A from the foot of the tower Options:
  A) 3 + $\sqrt{3}$
  B) 5 + $\sqrt{3}$
  C) 3 - $\sqrt{3}$
  D) 1
  E) $\sqrt{3}$ - 1
  Show Answer
  The correct answer is D .
• Question 1258:

  

  PQRS is a desk of dimensions 2m $\times$ 0.8 which is inclined at 30${}^{\circ }$ to the horizontal. Find the inclination of the diagonal PR to the horizontal

  Options:
  A) 30${}^{\circ }$ 35'
  B) 30${}^{\circ }$ 32'
  C) 15${}^{\circ }$ 36'
  D) 10${}^{\circ }$
  E) 10${}^{\circ }$ 42'
  Show Answer
  The correct answer is E .
• Question 1259: Solve the equations
  m² + n² = 29
  m + n = 7 Options:
  A) (2, 3) and ( 3, 5)
  B) (2, 5) and (5, 2)
  C) (5, 2) and ( 5, 3)
  D) (5, 3) and (3, 5)
  Show Answer
  The correct answer is B .
• Question 1260:
  

  Find the value of the angle marked x in the diagram above

  Options:
  A) 60${}^0$
  B) 45${}^0$
  C) 90${}^0$
  D) 30${}^0$
  Show Answer
  The correct answer is A .