Free Printable Cumulative Assessment 5th Form

1.

Factorise

4 - a²

a)

(a+2)(a-2)

b)

(2a+a)(2a-1)

c)

(2+a)(2-a)

d)

(a²+2)(a²+2)

2.

Factor
x² + x - 6

a)

(x + 2)(x + 3)

b)

(x + 6)(x -1)

c)

(x + 3)(x - 2)

d)

(x +1)(x - 6)

3.

100, 200, 300, 400, 500. The rule for this sequence is

a)

Add 100

b)

Add 10

c)

Minus 10

4.

FACTORISE

4x²- 25

a)

(4x²-25)(4x²+25)

b)

(2x+5)(2x-5)

c)

(2x+5)²

5.

19 20 21 _______

a)

22

b)

18

6.

FACTORISE

ax + bx + x

a)

x(a + b + 1)

b)

x(a + b)

c)

x(x + b + a)

d)

x(x + b + 1)

7.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

8.

FactoriSE

3a²b + 3ab²

a)

3a(b + 2b)

b)

3(ab + ab²)

c)

3ab(a + b)

d)

3a²b(1 + b)

9.

Factor p³- 3p² - 16p + 48

a)

p² ( p - 3) (p - 3)

b)

(p² - 16) (p - 3)

c)

(p + 4) (p - 4) (p - 3)

10.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

11.

Factorize by removing the HCF and select the correct answer: 12 - 4b

a)

4(b - 12)

b)

4(3 - b)

c)

-4(b + 2)

d)

-4(3 - b)

12.

Factorise $x^2-25$

a)

$(x+5)^2$

b)

$x(x-5)$

c)

$x(x+5)$

d)

$(x-5)(x+5)$

13.

Factorize $3x^2-11x-20$

a)

$3x\left(x-11\right)-20$

b)

$\left(3x-10\right)\left(x+2\right)$

c)

$\left(3x+5\right)\left(x-4\right)$

d)

$\left(3x+4\right)\left(x-5\right)$

14.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

15.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

16.

Identify the 'c' value: y = 16x² -8x -24

a)

16

b)

-8

c)

24

d)

-24

17.

A sequence has 2, 4, 6, 8, 10, 12, 14. The rule for the sequence is;

a)

Add 1

b)

Add 2

18.

What is the next number in this sequence 4, 8, 12, ......, 20?

a)

10

b)

16

c)

18

19.

Expand and simplify

(y + 3) (y + 5)

a)

y² + 8y + 15

b)

9y³ + 15

c)

y2 + 8y + 15

d)

y² + 15x + 8

20.

Expand and simplify

(p + 5) (p - 1)

a)

p² + 4p - 4

b)

p² + 6p - 4

c)

p² + 4p - 5

d)

p² - 4p - 5

Cumulative Assessment 5th Form

Total questions: 20

Worksheet time: 1hrs 16mins

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