1. Write down the nth term for the sequence 4, 10, 16, 22, …

(2)

2. Write down the nth term for the following sequence:

1 3, 2 4, 3 5, 4 6, …

(2)

3. Simplify the following:

a) p³ p²

b) 2t² 5t4

c) b7

b³

d) 24k6

3k²

e) 5h4 4h2

2h3

f) (y3)2

(11)

4. Expand y(y³ - 6)

(2)

5.

a) Simplify 3(x + 4) + 2(x +3)

(4)

b) Simplify 5(y + 3) – 4(y – 6)

(4)

6. Make x the subject of the y = 3x -6

(2)

7. Solve:

a) - 5 = 30

(2)

b) = 2

(2)

c) 5x + 22 = 2( x – 4)

(3)

8.

The perimeter of the trapezium is 13cm. Calculate the longest side.

(4)

9. Find the value of the smallest angle.

(3)

10. Solve 4x – 5 7.

(2)

Show your answer on the number line below:

(2)

11. n is an integer. Write down the possible values for n if:

-4 2n 5

(4)

12.

a) Complete the table of values for y = 2x² + 2x - 3.

x

-2

-1

0

1

2

y

-3

9

(3)

b) Draw the graph of y = 2x² + 2x - 3

(2)

c) Draw the line y = -1 on the graph.

(1)

d) Hence, or otherwise, solve 2x² + 2x – 3 = -1

(2)

13. Hannah likes to feed the ducks at her local park. She leaves the house at 11.00a.m. The distance time graph shows her journey:

a) What is Hannah’s average speed for the whole journey?

(3)

Assess your knowledge

Skill

Qu

I can find the nth term of a linear sequence

1

I can spot a pattern and find the nth term of a sequence

2

I can use the rules of indices

3

I can expand a term over a bracket

4

I can expand and simplify an expression involving brackets

5

I can change the...