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 1431: A predator moves in a circle of radius √2 centre (0,0), while a prey moves along the line y = x. If 0 $\le$ x $\le$ 2, at which point(s) will they meet? Options:
  A) (1,1) only
  B) (1,1) and (1,2)
  C) (0,0) and (1,1)
  D) (√2,√2) only
  Show Answer
  The correct answer is A .
• Question 1432: Find the square root of 170 - 20$\sqrt{30}$ Options:
  A) 2 $\sqrt{10}$ - 5$\sqrt{3}$
  B) 2 $\sqrt{5}$ - 5$\sqrt{6}$
  C) 5 $\sqrt{10}$ - 2$\sqrt{3}$
  D) 3 $\sqrt{5}$ - 8$\sqrt{6}$
  Show Answer
  The correct answer is B .
• Question 1433: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 1434: 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 1435: If the sum of the 8th and 9th terms of an arithmetic progression is 72 and the 4th term is -6, find the common difference Options:
  A) 4
  B) 8
  C) 6$\frac{2}{3}$
  D) 9$\frac{1}{3}$
  Show Answer
  The correct answer is D .
• Question 1436: List all integers satisfying the inequality -1 $\le$ 2 x -6 < 4. Options:
  A) 2, 3, 4, 5
  B) 2, 3, 4
  C) 2, 5
  D) 3, 4, 5
  E) 4, 5
  Show Answer
  The correct answer is B .
• Question 1437: If p + 1, 2P - 10, 1 - 4p²are three consecutive terms of an arithmetic progression, find the possible values of p Options:
  A) -4, 2
  B) -3, $\frac{4}{11}$
  C) -$\frac{4}{11}$, 2
  D) 5, -3
  Show Answer
  The correct answer is C .
• Question 1438: If two angles of a triangle are 30^o each and the longest side is 10cm. Calculate the length of each of the other sides Options:
  A) 5cm
  B) 4cm
  C) 3√3 cm
  D) 10$\frac{3}{3}$cm
  Show Answer
  The correct answer is D .
• Question 1439:

  The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is ₦7200?

  Options:
  A) ₦1000
  B) ₦2000
  C) ₦3000
  D) ₦4000
  Show Answer
  The correct answer is B .
• Question 1440: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .