Mathematics Past Questions And Answers
A tree is 8km due south of a building. Kofi is standing 8km west of the tree. How far is Kofi from the building?
- A. 4√2km
- B. 8km
- C. 8√2km
- D. 16km
In how many ways can six persons be paired?
- A. 5
- B. 10
- C. 15
- D. 20
Find the variance of the numbers k, k+1, k+2,
- A. 2/3
- B. 1
- C. k + 1
- D. (k + 1)2
The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?
- A. 30
- B. 24
- C. 18
- D. 12
(a) In a school, the ratio of those who passed to those who failed in a History test is 4 : 1. If 7 students are selected at random from the school, find, correct to two decimal places, the probability that :
(i) at least 3 passed the test ; (ii) between 3 and 6 students failed the test.
(b) A fair die is thrown five times; find the probability of obtaining a six three times.
View Discussion (0)WAEC 2017 THEORYFactorise (4a + 3)2 - (3a - 2)2
- A. (a + 1)(a + 5)
- B. (a - 5)(7a - 1)
- C. (a + 5)(7a + 1)
- D. a(7a + 1)
(a) A see-saw pivoted at the middle is kept in balance by weights of Richard, John and Philip such that only Richard whose mass is 60 kg sits on one side. If they sit at distances 2 m , 3 m , and 4 m respectively from the pivot and Philip is 15 kg, find the mass of John.
(bi) A body of mass 12 kg rests on a rough plane inclined at an angle of 30º to the horizontal. The coefficient of friction between the body and the plane is \(\frac{2}{3}\). A force of magnitude P Newton acts on the body along the inclined plane. Find the value of P, if the body is at the point of moving:
down the plane;
[Take \(g = 10 ms ^{-2}\)]
(bii) A body of mass 12 kg rests on a rough plane inclined at an angle of 30º to the horizontal. The coefficient of friction between the body and the plane is \(\frac{2}{3}\). A force of magnitude P Newton acts on the body along the inclined plane. Find the value of P, if the body is at the point of moving:
up the plane;
[Take \(g = 10 ms ^{-2}\)]
View Discussion (0)WAEC 2023 THEORY
Two bottles are drawn with replacement from a crate containing 8 coke, 12 and 4 sprite bottles. What is the probability that the first is coke and the second is not coke?
- A. \(\frac{1}{12}\)
- B. \(\frac{1}{6}\)
- C. \(\frac{2}{9}\)
- D. \(\frac{3}{8}\)
| Scores | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 25 | 30 | x | 28 | 40 | 32 |
The table shows the outcome when a die is thrown a number of times. If the probability of obtaining a 3 is 0.225;
(a) How many times was the die thrown?
(b) Calculate the probability that a trial chosen at random gives a score of an even number or a prime number.
View Discussion (0)WAEC 2016 THEORYIf Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5
- A. 0.9542
- B. 0.6532
- C. 0.4771
- D. 0.3010