Mathematics Past Questions And Answers
Evaluate \(\lim \limits_{x \to 2} \frac{(x - 2)(x^2 + 3x - 2)}{x^2 - 4}\)
- A. 7
- B. 2
- C. 3
- D. 4
If 8x-1 = \(\frac{1}{4}\), find x
- A. -\(\frac{-5}{3}\)
- B. -1
- C. -\(\frac{1}{3}\)
- D. \(\frac{1}{3}\)
Find the area and perimeter of a square whose length of diagonals is 20\(\sqrt2\) cm.
- A. 800 cm\(^2\), 80 cm
- B. 400 cm, 80 cm\(^2\)
- C. 80 cm, 800 cm\(^2\)
- D. 400 cm\(^2\), 80 cm
Mary has &3.00 more than Ben but &5.00 less than Jane. If Mary has &x, how much does Jane and Ben have altogether?
- A. &(2x-8)
- B. &(2x+8)
- C. &(2x-2)
- D. &(2x+2)
A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of picking balls of different colours
- A. \(\frac{8}{15}\)
- B. \(\frac{13}{25}\)
- C. \(\frac{11}{15}\)
- D. \(\frac{13}{15}\)
PQRS is a trapezuim. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42°. Calculate the perpendicular distance between the parallel sides
- A. 3.35cm
- B. 3.73cm
- C. 4.50cm
- D. 4.62cm
Alfred spent \(\frac{1}{4}\) of his money on food, \(\frac{1}{3}\) on clothing and save the rest. If he saved N72,20.00, how much did he spend on food?
- A. N43,200.00
- B. N43,000.00
- C. N42,200.00
- D. N40,000.00
In a conference, one hundred people were seated at the opening ceremony. Later, five hundred chairs were added. Three hundred and ninety nine people came to join others. How many chairs were left unoccupied?
- (a) one hundred and one
- (b) two hundred and one
- (c) ninety nine
- (d) one hundred and fifty
If X ∗ Y = X + Y - XY, find x when (x ∗ 2) + (x ∗ 3) = 68
- A. 24
- B. 22
- C. -12
- D. -21
A trader paid import duty of 38 kobo in the naira on the cost of an engine. If a total of #22,800.00 was paid as import duty, calculate the cost of the engine.
- A. #60,000.00
- B. #120,000.00
- C. #24,000.00
- D. #18,000.00