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 2111: Find the value of k if $\frac{k}{\sqrt{3}+\sqrt{2}}$ = k$\sqrt{3-2}$ Options:
  A) 3
  B) 2
  C) $\sqrt{3}$
  D) $\sqrt{2}$
  Show Answer
  The correct answer is D .
• Question 2112:

  

  Evaluate ($\sin$45^o + $\sin$3^o ) in surd form.

  Options:
  A) $\frac{\sqrt{3}}{2\sqrt{2}}$
  B) √3 − $\frac{1}{2}$
  C) $\frac{1}{2}$√2
  D) 1 + $\frac{\sqrt{2}}{2}$
  Show Answer
  The correct answer is D .
• Question 2113:

  

  The mean and the range of the set of numbers 1, 20, 1.00, 0.90, 1.40, 0.80, 1.20 and 1.10 are me and r

  Options:
  A) 1.11
  B) 1.65
  C) 1.85
  D) 2.45
  Show Answer
  The correct answer is B .
• Question 2114: If cos²$\theta$ + $\frac{1}{8}$ = sin²$\theta$, find tan$\theta$ Options:
  A) 3
  B) $\frac{3\sqrt{7}}{7}$
  C) 3$\sqrt{7}$
  D) $\sqrt{7}$
  Show Answer
  The correct answer is B .
• Question 2115:

  Simplify without using tables $\frac{2\sqrt{14}\times 3\sqrt{21}}{7\sqrt{24}\times 2\sqrt{98}}$

  Options:
  A) $\frac{3\sqrt{14}}{4}$
  B) $\frac{3\sqrt{2}}{4}$
  C) $\frac{3\sqrt{14}}{28}$
  D) $\frac{3\sqrt{2}}{28}$
  Show Answer
  The correct answer is D .
• Question 2116: How many three-digit numbers can be formed from 32564 without repeating any of the digits? Options:
  A) 120
  B) 10
  C) 20
  D) 60
  Show Answer
  The correct answer is D .
• Question 2117:

  

  In the diagram are two concentric circles of radii r and R respectively with centre O. If r = $\frac{2}{5}$R, express the area of the shaded portion in terms of $\pi$ and R

  Options:
  A) $\frac{5}{9}\pi R^2$
  B) $\frac{21}{25}\pi R^2$
  C) $\frac{21}{23}\pi R^2$
  D) $\frac{9}{25}\pi R^2$
  Show Answer
  The correct answer is B .
• Question 2118: The diameter of a metal rod is measured as 23.40 cm to four significant figures. What is the maximum error in the measurement? Options:
  A) 0.05cm
  B) 0.5cm
  C) 0.045cm
  D) 0.005cm
  E) 0.004cm
  Show Answer
  The correct answer is D .
• Question 2119: The binary operation $\oplus$ defined on the set of real numbers is such that x $\oplus$ y = $\frac{xy}{6}$ for all x, y $ϵ$ R. Find the inverse of 20 under this operation when the identity element is 6 Options:
  A) $\frac{9}{5}$
  B) $\frac{1}{20}$
  C) $\frac{10}{3}$
  D) $\frac{1}{12}$
  Show Answer
  The correct answer is B .
• Question 2120: 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 .