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 1451: If 7 and 189 are the first and fourth terms of geometric progression respectively, find the sum of the first three terms of the progression Options:
  A) 182
  B) 91
  C) 63
  D) 28
  Show Answer
  The correct answer is B .
• Question 1452: In $△$ XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = $\theta$. Find cos$\theta$^o Options:
  A) $\frac{4}{39}$
  B) $\frac{43}{39}$
  C) $\frac{209}{3}$
  D) $\frac{43}{78}$
  Show Answer
  The correct answer is D .
• Question 1453: If x * y = x + y², find then value of (2*3)*5 Options:
  A) 36
  B) 25
  C) 11
  D) 55
  Show Answer
  The correct answer is A .
• Question 1454:

  

  In the figure, PS bisects angle QPR. Find the ratio SR:QR.

  Options:
  A) 1:2
  B) 1:3
  C) 1:4
  D) 1:5
  E) 1:6
  Show Answer
  The correct answer is C .
• Question 1455:

  If w varies inversely as $\frac{ur}{u+r}$ and is equal to 8 when u = 2 and r = 6, find a relationship between u, v, w.

  Options:
  A) urw = 16(u + v)
  B) 16ur = 3w(u + v)
  C) urw = 12(u + v)
  D) 12urw = u + v
  Show Answer
  The correct answer is C .
• Question 1456: If y = x² - $\frac{1}{x}$, find $\frac{\delta y}{\delta x}$ Options:
  A) 2x - $\frac{1}{x^2}$
  B) 2x + x²
  C) 2x - x²
  D) 2x + $\frac{1}{x^2}$
  Show Answer
  The correct answer is D .
• Question 1457: Factorize completely y³ -4xy + xy³ - 4y Options:
  A) (y + ay)(y + 2)(y - 2)
  B) (y - xy)(y - 2)
  C) y(1 + x)(y + 2)(y -2)
  D) y(1 - x)(y + 2)(y - 2)
  Show Answer
  The correct answer is C .
• Question 1458:

  Three children shared a basket of mangoes in such a way that the first child took $\frac{1}{4}$ of the mangoes and the second $\frac{3}{4}$ of the remainder. What fraction of the mangoes did the third child take?

  Options:
  A) $\frac{3}{16}$
  B) $\frac{7}{16}$
  C) $\frac{9}{16}$
  D) $\frac{13}{16}$
  Show Answer
  The correct answer is A .
• Question 1459:

  

  In the diagram above, QR // TS, QR : TS = 2.3, Find the ratio of the area of triangle PQR to the area of the trapezium QRST.

  Options:
  A) 4:9
  B) 4:5
  C) 1:3
  D) 2:3
  Show Answer
  The correct answer is B .
• Question 1460: If the heights of two circular cylinder are in the ratio 2 : 3 and their volumes? Options:
  A) 27 : 32
  B) 27 : 23
  C) 23 : 32
  D) 27 : 23
  Show Answer
  The correct answer is A .