Free Printable EXPANDING & FACTORISATION

1.

Identify whether the given mathematical statement is correct or not
5 x + 4y = 9xy

a)

CORRECT

b)

NOT CORRECT

2.

The factorisation of 4x + 16 is _______

a)

4(x + 4)

b)

4(x - 4)

c)

x + 4

d)

4x + 4

3.

The greatest common factor of 5a and 15b is _____

a)

5

b)

3

c)

4

d)

15

4.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

5.

Factorise $2a+20$ .

a)

$2\left(a+20\right)$

b)

$2\left(a+10\right)$

c)

$2\left(2a+10\right)$

d)

$2\left(2a+20\right)$

6.

Factorise $5k+25$ .

a)

$5\left(5k+25\right)$

b)

$5\left(k+25\right)$

c)

$5\left(k+5\right)$

d)

$5\left(5k+5\right)$

7.

Factorise $14x+7$

a)

$7\left(2x+1\right)$

b)

$7\left(2x\right)$

c)

$14\left(x+7\right)$

d)

$14\left(x+2\right)$

8.

Factorise $x^2+3x$

a)

$x\left(x+3x\right)$

b)

$x\left(x+3\right)$

c)

$x\left(x^2+3\right)$

d)

$3\left(x^2+x\right)$

9.

Factorise $x^2-x$

a)

$x^2\left(-x\right)$

b)

$x\left(x\right)$

c)

$x\left(x-1\right)$

d)

$x\left(x-x\right)$

10.

Factorise $x^2-4x$ .

a)

$x\left(x-4\right)$

b)

$4\left(x^2-x\right)$

11.

Factorise $9x-9$

a)

$9\left(x+1\right)$

b)

$9\left(x-9\right)$

c)

$9\left(x-1\right)$

d)

$9\left(x\right)$

12.

Factorise $35y+7$

a)

$5\left(7y+1\right)$

b)

$5\left(7y+7\right)$

c)

$7\left(5y\right)$

d)

$7\left(5y+1\right)$

13.

Factorise $5-15a$ .

a)

$5\left(1-3a\right)$

b)

$5\left(-3a\right)$

c)

$15\left(5-a\right)$

d)

$15\left(5-3a\right)$

14.

Factorise $21x-14$

a)

$14\left(21x\right)$

b)

$7\left(3x-2\right)$

c)

$14\left(21x-1\right)$

d)

$7\left(3x-14\right)$

15.

Factorise $14c-21$ .

a)

$7\left(2c-3\right)$

b)

$7\left(2c-21\right)$

c)

$14\left(c-21\right)$

d)

$14\left(c-3\right)$

16.

Factorise $3x-12$ .

a)

$3\left(3x-4\right)$

b)

$3\left(3x-12\right)$

c)

$3\left(x-4\right)$

d)

$3\left(x-12\right)$

17.

Factorise $3r+kr$

a)

$r\left(3k\right)$

b)

$r\left(3+k\right)$

18.

Factorise $a^2+3a$ .

a)

$a\left(1+3\right)$

b)

$a\left(2a+3\right)$

c)

$a\left(a+3\right)$

d)

$a\left(a+3a\right)$

19.

Expand $3\left(x+y\right)$

a)

$x+3y$

b)

$3x+y$

c)

$3x+3y$

d)

$x+y$

20.

Expand $7\left(a+2b\right)$

a)

$a+14b$

b)

$7a+14b$

c)

$7a+2b$

d)

$a+2b$

21.

Expand $2x\left(x-3y\right)$

a)

$2x^2-3xy$

b)

$3x-6xy$

c)

$2x^2-6xy$

d)

$3x-6y$

22.

-7(x + 3)

a)

7x + 21

b)

-7x - 21

c)

-7x + 21

d)

7x - 3

23.

2(4k + 7)

a)

4k - 9

b)

4k + 9

c)

8k - 14

d)

8k + 14

24.

-9( -3h - 8)

a)

-27h + 72

b)

27h + 72

c)

9 + 11h

d)

-9 + 11h

25.

5( -8 + 2x)

a)

40 + 10x

b)

-40 + 10x

c)

5 - 10x

d)

-40 - 10x

26.

Factorise 3x−9

a)

3(x−9)

b)

3(x−3)

c)

3(3x−1)

d)

3(x−9)

27.

Factorise x²+4x

a)

x(x+2)

b)

x(x+4)

28.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

29.

5(6 + cd)

a)

30 + 5cd

b)

5 + c

c)

11 + 5c

30.

30(g + f)

a)

30g + 30f

b)

30g

c)

30f

31.

Which of the following is the correct expansion of:
5(r - 2)?

a)

5r - 2

b)

5r +2

c)

5r + 10

d)

5r - 10

32.

Which of the following is the correct expansion of:
a(a - 10)?

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

33.

Which of the following is the correct expansion of:
3p(4p - 7q)?

a)

7p - 10pq

b)

12pq - 21q²

c)

9q

d)

12p² - 21pq

34.

2(3 + a)

a)

6 + 2a

b)

5 + a

c)

5 + 2a

d)

6 + a

35.

3(b + c)

a)

3b + 3c

b)

3b + c

c)

3 + 3c

d)

b + c

36.

4(d + e)

a)

4d + 4e

b)

4d + e

c)

4 + 4e

d)

d + e

37.

3(4 + c)

a)

12 + 3c

b)

7 + c

c)

3 + 3c

d)

4 + c

38.

3x(x+1)

a)

3x²+1

b)

3x²+3x

c)

3x+1

39.

-2a(3+b)

a)

-6a-2ab

b)

-6a+2ab

40.

Expand 4(b + 3)

a)

4b² + 7

b)

4b + 7

c)

4b + 12

d)

4(b + 7)

41.

Expand 5(c + 2)

a)

5c + 10

b)

5c² + 2

c)

5c + 2

d)

5c + 7

42.

Expand 2(2z - 4)

a)

2z² - 8

b)

4z² - 8

c)

4z - 4

d)

4z - 8

43.

Expand 3(4d - 3)

a)

12d - 9

b)

7d - 6

c)

34d - 33

d)

12d² - 9

44.

Expand -5(r + 2)

a)

-5r + 10

b)

-5r - 10

c)

-5r - 7

d)

5r + 10

45.

Expand -5(4v + 3)

a)

20v - 15

b)

-54v - 53

c)

-20v + 15

d)

-20v - 15

46.

Expand 3z(4z + 6)

a)

12z² + 18z

b)

34z² + 18

c)

12z² + 18

d)

12z² - 18z

47.

Expand m(7m - 2)

a)

7m - 2m

b)

7m² - 2m

c)

7m - 2

d)

7m² - 2

48.

-4(2h + 3)

a)

-8h - 12

b)

-8h - 3

c)

-8h + 3

d)

-8h +12

49.

10(5 - 4f)

a)

50 - 40f

b)

50 - 4f

c)

50 + 40f

d)

50 + 4f

50.

-6(2 - y)

a)

-12 + 6y

b)

- 12 - 6y

c)

-12 - y

d)

-12 + y

51.

2(3 + a)

a)

6 + 2a

b)

5 + a

c)

5 + 2a

d)

6 + a

52.

3(b + c)

a)

3b + 3c

b)

3b + c

c)

3 + 3c

d)

b + c

53.

4(d + e)

a)

4d + 4e

b)

4d + e

c)

4 + 4e

d)

d + e

54.

3(4 + c)

a)

12 + 3c

b)

7 + c

c)

3 + 3c

d)

4 + c

55.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

56.

Expand 2(2z - 4)

a)

2z² - 8

b)

4z² - 8

c)

4z + 8

d)

4z - 8

57.

Expand 6(2x - 3)

a)

12x - 18

b)

12x + 18

c)

8x - 18

d)

8x - 9

58.

The\ factorisatio\ of\ 12a^2b+15ab^2\ gives

a)

3ab(4ab+5)

b)

3ab(4a+5b)

c)

. 3a(4a+5b)

d)

D. 3b(4a + 5b)

59.

The factorisation of 12x+36 is

a)

12(x+3)

b)

12(3x)

c)

12(3x+1)

d)

x(12+36x)

60.

On factorising 14pq + 35pqr, we get:

a)

pq(14+35r)

b)

p(14q+35qr)

c)

q(14p+35pr)

d)

7pq(2+5r)

EXPANDING & FACTORISATION

Total questions: 60

Worksheet time: 2hrs 0mins

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