9 Maths 2025

Factorise

100

4x + 16

4(x+4)

200

9ab - 3b

3b(3a - 1)

300

x² + 6x + 8

(x + 4)(x + 2)

400

4(a + b) + x(a + b)

(4 + x)(a + b)

500

5(k + 3) - k(k + 3)

(k + 3)(5 - k)

Expand

100

2a(a - 3)

2a² - 6a

200

3(x + 4) - 2x

x + 12

300

y(y - 6) - 7(y + 2)

y² - 13y - 14

400

(x + 1)(x + 3)

x² + 4x + 3

500

(5m - 3)²

25m² - 30m + 9

Simplify

100

30d² ÷ 5d

6d

200

3x + 5y - 4x + y

-x + 6y

300

4m x 2m x 3p

24m²p

400

5abc x -3b + ab²c

14ab²c

500

-3ab - b - 5ba + 3b

-8ab + 2b

Solve

100

(x + 6)(x - 6)

x + 6 = 0  or  x - 6 = 0

200

x(x - 2) = 0

x = 0  or  x = 2

300

x² = 2x

x=0  or  x=2

400

x² + 3x + 2 = 0

x = −1  or  x = −2.

500

x² + 10x + 25 = 0

x = −5

Parabolas

100

What is it called when a parbola is like a smiling face?

concave up

200

What is it called when a parabola is frowning?

concave down

300

What is the line of symmetry?

the imaginary line that divides the parabola into two identical, mirror-image halves, passing through the parabola's vertex

400

What is the vertex?

a point at which the parabola makes its sharpest turn.

500

What is the focus?

a fixed point inside the curve where all points on the parabola are an equal distance from this focus and a fixed line called the directrix