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 2261: The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R? Options:
  A) 60m
  B) 60$\sqrt{3}$m
  C) 80$\sqrt{3}$m
  D) 120$\sqrt{3}$m
  E) 240m
  Show Answer
  The correct answer is C .
• Question 2262: If P = $\left|\begin{array}{cc}5& 3\\ 2& 1\end{array}\right|$ and Q = $\left|\begin{array}{cc}4& 2\\ 3& 5\end{array}\right|$, find 2P + Q Options:
  A) $\left|\begin{array}{cc}7& 7\\ 14& 8\end{array}\right|$
  B) $\left|\begin{array}{cc}14& 8\\ 7& 7\end{array}\right|$
  C) $\left|\begin{array}{cc}7& 7\\ 8& 14\end{array}\right|$
  D) $\left|\begin{array}{cc}8& 14\\ 7& 7\end{array}\right|$
  Show Answer
  The correct answer is B .
• Question 2263: Resolve $\frac{3}{x^2+x-2}$ into partial fractions Options:
  A) $\frac{1}{x-1}+\frac{1}{x+2}$
  B) $\frac{1}{x+1}+\frac{1}{x-2}$
  C) $\frac{1}{x+1}-\frac{1}{x-2}$
  D) $\frac{1}{x-2}+\frac{1}{x+2}$
  Show Answer
  The correct answer is A .
• Question 2264: 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 2265: 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 2266: Solve the simultaneous equations $\frac{2}{x}-\frac{2}{x}$ = 2, $\frac{4}{x}+\frac{3}{y}$ = 10 Options:
  A) x = $\frac{3}{2}$, y = $\frac{3}{2}$
  B) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  C) x = $\frac{-1}{2}$, y = $\frac{-3}{2}$
  D) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  Show Answer
  The correct answer is B .
• Question 2267: The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term. Options:
  A) 12
  B) 4
  C) -12
  D) -24
  Show Answer
  The correct answer is D .
• Question 2268:

  A student pilot was required to fly to an airport and then return as part of his flight training. The average speed to the airport was 120 km/h, and the average speed returning was 150 km/h. If the total flight time was 3 hours, calculate the distance between the two airports.

  Options:
  A) 270 km
  B) 200 km
  C) 360 km
  D) 450 km
  Show Answer
  The correct answer is B .
• Question 2269: Make r subject of the formula given that $\frac{x}{r+a}=\frac{a}{r}$ Options:
  A) $\frac{a^2}{(x-a)}$
  B) $\frac{a^2}{(x+a)}$
  C) $\frac{a}{x-a}$
  D) $\frac{a}{x+a}$
  Show Answer
  The correct answer is A .
• Question 2270: Factorize completely 8a + 125ax³ Options:
  A) (2a + 5x²)(4 + 26ax)
  B) a(2 + 5x)(4 - 10x + 25x²)
  C) (2a + 5x)(4 - 10ax + 25x²)
  D) a(2 + 5x)(4 + 10ax + 25x²)
  Show Answer
  The correct answer is B .