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 1051: A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60^o to the vertical? Options:
  A) It does not rise
  B) 2$\sqrt{3}$ meters
  C) 3 meters
  D) 1 meters
  E) 3
  Show Answer
  The correct answer is D .
• Question 1052:

  Score (x)	0	1	2	3	4	5	6
  Freq (f)	5	7	3	7	11	6	7

  Find the mean of the data.

  Options:
  A) 3.26
  B) 4.91
  C) 6.57
  D) 3.0
  Show Answer
  The correct answer is A .
• Question 1053: a senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered? Options:
  A) 840
  B) 720
  C) 640
  D) 520
  Show Answer
  The correct answer is A .
• Question 1054:

  

  In the diagram, XZ is the diameter of a circle's radius $\frac{5}{2}$. If XY is 4cm, then the area of the triangle XYZ is

  Options:
  A) 12cm²
  B) 28$\frac{1}{2}$cm²
  C) 16cm²
  D) 10cm²
  E) 6cm²
  Show Answer
  The correct answer is E .
• Question 1055: Given that √2 = 1.1414, find without using tables, the value of $\frac{1}{\sqrt{2}}$ Options:
  A) 0.141
  B) 0.301
  C) 0.667
  D) 0.707
  Show Answer
  The correct answer is D .
• Question 1056: Make r subject of the formula given that $\frac{x}{r+a}=\frac{a}{r}$ Options:
  A) $\frac{a^2}{(x-a)}$
  B) $\frac{a^2}{(x+a)}$
  C) $\frac{a}{x-a}$
  D) $\frac{a}{x+a}$
  Show Answer
  The correct answer is A .
• Question 1057: Evaluate $1-(\frac{1}{5}\times \frac{2}{3})+(5+\frac{2}{3})$ Options:
  A) $4$
  B) $3$
  C) $2\frac{2}{3}$
  D) $3\frac{2}{3}$
  Show Answer
  The correct answer is D .
• Question 1058: Which of the following binary operations is cumulative in the set of integers? Options:
  A) a $\ast$ b = a + 2b
  B) a $\ast$ b = a + b - ab
  C) a $\ast$ b = a² + b
  D) a $\ast$ b = $\frac{a(b+1)}{2}$
  Show Answer
  The correct answer is C .
• Question 1059:

  y varies partly as the square of x and partly as the inverse of the square root of x. Write down the expression for y if y = 2 when x = 1 and y = 6 when x = 4.

  Options:
  A) y = $\frac{10x^2}{31}+\frac{52}{31\sqrt{x}}$
  B) y = x² + $\frac{1}{\sqrt{x}}$
  C) y = x² + $\frac{1}{x}$
  D) y = $\frac{x^2}{31}+\frac{1}{31\sqrt{x}}$
  Show Answer
  The correct answer is A .
• Question 1060: In triangle XYZ, ∠XYZ = 15${}^{\circ }$, ∠XZY = 45${}^{\circ }$ and lXYl = 7 cm. Find lYZl. Options:
  A) 14√2 cm
  B) $7\left(\frac{\sqrt{6}}{2}\right)$
  C) 7√2 cm
  D) 7 cm
  Show Answer
  The correct answer is B .