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 801:

  

  In the figure, PQr is a semicircle while PQ and Qr are chords. QS is the perpendicular from Q to the diameter PR. What is the expression for QS?

  Options:
  A) QS = PS$\sqrt{SR}$
  B) QS = $\sqrt{(PSSR)}$
  C) QS = 2$\sqrt{(PSSR)}$
  D) QS = $\frac{1}{\sqrt{2}}$$\sqrt{(PSSR)}$
  Show Answer
  The correct answer is B .
• Question 802: Rationalize the expression $\frac{(7-\sqrt{3})}{(13-\sqrt{3})}$ Options:
  A) (44 + 3$\sqrt{3}$) ÷ 83
  B) (44 + 2$\sqrt{3}$) ÷ 83
  C) (44 - 3$\sqrt{3}$) ÷ 83
  D) (44 - 4$\sqrt{3}$) ÷ 83
  E) (44 - 2$\sqrt{3}$) ÷ 83
  Show Answer
  The correct answer is C .
• Question 803: On a square paper of length 2.524375cm is inscribed square diagram of length 0.524375cm. Find the area of the paper not covered by the diagram. correct to 3 significant figures. Options:
  A) 6.00cm²
  B) 6.10cm²
  C) 6cmv
  D) 6.09cm²
  E) 4.00cm²
  Show Answer
  The correct answer is B .
• Question 804:

  Evaluate $lo{g}_{\sqrt{2}}4+lo{g}_{\frac{1}{2}}16-lo{g}_{4}32$

  Options:
  A) -5.5
  B) -2.5
  C) 2.5
  D) 5.5
  Show Answer
  The correct answer is B .
• Question 805: If the minimum value of y = 1 + hx - 3x² is 13, find h. Options:
  A) 13
  B) 12
  C) 11
  D) 10
  Show Answer
  The correct answer is B .
• Question 806: Find the acute angle between the straight lines y = x and y = $\sqrt{3x}$ Options:
  A) 15^o
  B) 30^o
  C) 45^o
  D) 60^o
  Show Answer
  The correct answer is B .
• Question 807:

  Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12.

  Options:
  A) 5x + 7y = 20
  B) 7x + 5y = 70
  C) xy = 7
  D) 15x + 17y = 90
  Show Answer
  The correct answer is B .
• Question 808:

  

  In the figure above, TS//XY and XY = TY, <STZ = 34${}^{\circ }$, < TXY = 47${}^{\circ }$. Find the angle marked n.

  Options:
  A) 47${}^{\circ }$
  B) 52${}^{\circ }$
  C) 56${}^{\circ }$
  D) 99${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 809:

  The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

  Options:
  A) 148m
  B) 382m
  C) 282m
  D) 248m
  Show Answer
  The correct answer is C .
• Question 810: Evaluate $\frac{(0.5625{)}^2-(0.4375{)}^2}{0.04}$ Options:
  A) 0.131
  B) 3.11
  C) 3.12
  D) 3.13
  Show Answer
  The correct answer is D .