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 2451: Calculate without using tables Tan 45° + Cos 60° Options:
  A) $\sqrt{\frac{3}{2}}$ - 1
  B) $\frac{1}{2}$
  C) 1$\frac{1}{2}$
  D) $\sqrt{\frac{3}{2}}$ + 1
  E) 2
  Show Answer
  The correct answer is C .
• Question 2452:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 2453:

  A rectangular picture 6cm by 8cm is enclosed by a frame $\frac{1}{2}$cm wide. Calculate the area of the frame.

  Options:
  A) 15sq.cm
  B) 20sq.cm
  C) 13sq.cm
  D) 16sq.cm
  Show Answer
  The correct answer is A .
• Question 2454: A sales boy gave a change of N75.00 to a buyer instead of N80.00, calculate his percentage error, correct to one decimal place? Options:
  A) 6.00%
  B) 6.20%
  C) 6.30%
  D) 6.60%
  E) 6.70%
  Show Answer
  The correct answer is C .
• Question 2455: Evaluate ($\frac{1}{343}$)${}^{\frac{1}{3}}$ + (64)${}^{-\frac{1}{3}}$ - $\frac{4}{9}$${}^{-\frac{1}{2}}$ Options:
  A) -$\frac{17}{36}$
  B) -$\frac{3}{28}$
  C) $\frac{13}{28}$
  D) $\frac{17}{36}$
  E) $\frac{1}{4}$
  Show Answer
  The correct answer is B .
• Question 2456: Given that for sets A and B, in a universal set E, A $\subseteq$ B then A $\cap$(A $\cap$ B)¹ is Options:
  A) A
  B) $\varphi$
  C) B
  D) E
  Show Answer
  The correct answer is B .
• Question 2457: 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 2458:

  Find a positive value of ã if the coordinate of the centre of a circle X²+y²-2ãx+4y-ã = 0 is (ã,-2) and the radius is 4 units.

  Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is C .
• Question 2459: If y = x sinx, find $\frac{dy}{dx}$ Options:
  A) sin x - x cosx
  B) sinx + x cosx
  C) sinx - cosx
  D) sinx + cosx
  Show Answer
  The correct answer is B .
• Question 2460: 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 .