# WASSCE 2023: Likely Elective Mathematics Questions

## Try these likely Elective Mathematics questions for the 2023 WASSCE. Pass your 2023 WASSCE Elective Mathematics with these likely questions.

Make sure to seek for help if you find yourself wanting with these questions.

1. A book club sends 6 science fiction and 8 history books to Mensah. He chooses 6 of these books at random to take for holidays. What is the probability that he chooses:

a. an even number of history books;

b. an even number of science books;

c. exactly 2 history books;

d. exactly 2 science books

e. at least one science fiction book

2. A committee of 10 people is to be chosen from 12 midfielders, 6 attackers and 7 referees. If each person must be represented, determine the number of ways of selecting the committee to include:

a. at least two midfielders

b. exactly two midfielders

c. exactly one midfielder and one attacker.

3. If alpha (a) and beta (b) are the roots of the equation x^2+kx+11=0 and ‘alpha square’ (a^2) + ‘beta square’ (b^2) = 27, find the possible values of k.

4. Given that logy base 8 = nlogy base 3, find the value of n

5. The mean of 4,7,x,y,18 and 21 is 12. When y is removed from the distribution, the mean becomes 63/5. Find the values of x and y.

6. An object is pulled up on a smooth plane inclined at an angle of 45 degrees to the horizontal. If the plane is 25m long and the object comes to rest at the top, find, correct to two decimal places, the:

a. initial speed of the object

b. time taken to reach the top

7. Find, correct to two decimal places, the magnitude of the resultant of the vectors p= (12N, 150 degrees), q= (20N, 180 degrees) and r= (15N, 700 degrees).

We wish all 2023 WASSCE candidates the very best of luck,

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