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...