Non Calculator
Fractions
1.
2 3
3 ×1
5 4
2.
1
2
2 ÷3
2
3
3.
1 1 1
of +
2 3 5
4.
(2 x − 3)( x − 1)
5.
( x + 2)( x 2 − 2 x + 3)
6.
(2 x − 3)( x 2 + 4 x − 1)
7.
Solve
3 − 2x > x + 9
8.
Solve
5(2 + x) < 6 x − 11
Factorisation
1.
4 xy + 10 x
2.
6ab − 3a 2b + 15ab 2
3.
x 2 − 36
4.
2 x 2 − 32
5.
x3 − x
6.
x2 + 7 x + 6
7.
x 2 + 3x − 4
8.
x 2 − x − 20
9.
x 2 − 4 x − 12
10. y 2 + y − 12
11. a 2 + 9a + 18
12. c 2 − 10c + 16
13. d 2 − 6d − 7
14. 2 x 2 + 5 x + 2
15. 3 x 2 − 2 x − 1
16. 2 x 2 + 5 x − 12
17. 3 x 2 − 16 x − 12
18. 8 f 2 + 10 f − 3
19. 2 x 2 + 2 x − 12
20. 14v 2 + 20v + 6
Quadratic Equations
1. Solve (x + 3)(x – 2) = 0
2. Solve x2 – 5x = 0
3. Solve x2 + 3x – 10 = 0
4. Solve x2 – 4x – 21 = 0
5. Solve x2 – 10x = -16
6. Solve 2x2 – 5x + 3 = 0
7. Solve x2 – 5x + 6 = 2 – x
8. Solve 3x2 - 10x + 3 = 0
9. Solve x2 + 2x – 1 = 0 to 2dp
10. Solve x2 – 5x + 2 = 0 to 3
s. f.
11. Solve 2x2 – 5x + 1 = 0
1dp
12. Solve 4x2 – x – 1 = 0
13. Find the roots of
x2 – x – 2 = 0
14. Find the roots of
x2 + 6x + 9 = 0
15. Find the coordinates of where
y = x2 – 2x – 8 crosses the x axis
16. Find the coordinates of
where y = 2x2 + 9x – 18
crosses the x axis
17. Find the value of x
10
x
x+2
x-2
2 s.f.