Free BECE Past Questions & Practice Quizzes Online

Free BECE Past Questions & Practice Quizzes

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BECE Mathematics Change of Subject and Factorisation Quiz

Mathematics · 20 questions · 25 min

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1. Make m the subject of the relation 1/m = 1/p + 1/r.

m = pr/(r + p) m = (r + p)/pr m = (r - p)/pr m = pr/(r - p)

2. Make q the subject of the relation w = (n - q)/q.

q = (n - 1)/w q = (n + 1)/w q = (n + 2)/(1 + w) q = n/(w + 1)

3. If 2x - 1 = 5, find the value of x.

4 6 5 3

4. The simple interest formula is I = PRT/100. Which is the correct way to make R the subject of the formula?

R = 100I/(PT) R = PT/(100I) R = I/(100PT) R = 100PT/I

5. Using I = PRT/100, find the value of R when I = 240 and P = 2000 and T = 4.

30 12 6 3

6. The perimeter of a rectangle is P = 2L + 2W. Which is the correct way to make W the subject of the formula?

W = P/2 - L/2 + 1 W = (P + 2L)/2 W = (P - 2L)/2 W = P - 2L

7. Using W = (P - 2L)/2 for a rectangle, find W when P = 50 and L = 14.

22 11 7 36

8. The area of a triangle is A = (1/2)bh. Which is the correct way to make h the subject of the formula?

h = 2b/A h = Ab/2 h = 2A/b h = A/(2b)

9. The formula V = IR links voltage V and current I and resistance R. Which is the correct way to make I the subject?

I = VR I = V - R I = V/R I = R/V

10. Which is the correct way to make x the subject of the formula y = 3x - 5?

x = (y + 5)/3 x = (y - 5)/3 x = 3y + 5 x = y/3 - 5

11. Factorize completely: b^2 + fb - mb - fm

(b - f)(b - m) (b + f)(m - b) (b + f)(b - m) (b + f)(m + b)

12. One of the factors of the expression 4m^2 + 12m - 8m - 24 is (4m - 8). Find the other factor.

m - 3 m + 3 2m + 3 2m - 3

13. Factorize: kx + 2xt - 4k - 8t

(k - 2t)(x + 4) (k + 2t)(x - 4) (k + t)(x - 4) (k + 2t)(x + 4)

14. Factorise: 5a + 10

5(a + 2) 5a(1 + 2) 5(a + 10) a(5 + 10)

15. Factorise completely: 6y - 18

6(y - 3) 6(y + 3) 6(y - 18) 3(2y - 6)

16. Factorise completely: 7x + 21x^2

7x(1 + 21x) 7x(1 + 3x) x(7 + 21x) 7(x + 3x)

17. What is the highest common factor of 12x and 18?

12 3 18 6

18. Factorise completely: 8p^2 + 12p

2p(4p + 6) 4p(2p + 3) 8p(p + 12) 4(2p^2 + 3p)

19. Factorising an expression is the exact opposite of which process?

Adding fractions Rounding numbers Squaring numbers Expanding brackets

20. Two plots of land have areas of 9x square metres and 27 square metres. Which is the total area written as a factorised expression?

3(3x + 9) 9(x + 27) 9(x + 3) x(9 + 27)