Year 9 Maths Jeopardy

Index Laws

100

Simplify: x³ × x⁴

x⁷

200

Simplify: y⁸ ÷ y³

y⁵

300

Simplify: (2x²)³

8x⁶

400

Evaluate: 5⁰ + 3⁰

2

500

Simplify: (6x² x 2x⁴) / 4x²

3x⁴

Expanding Single Brackets

100

Expand: 3(x + 4)

3x + 12 

200

Expand: −2(5 − y)

−10 + 2y

300

Expand: 4x(2x − 3)

8x² − 12x

400

Expand and simplify: 2(3x + 1) + 5(x − 2)

(6x + 2) + (5x - 10)

= 11x - 8 

500

Expand and simplify: 3x(x + 2) − 2(x² − 4x + 1)

(3x² + 6x) - (2x² + 8x - 2)

x² + 14x − 2

Expanding Double Brackets

100

Expand: (x + 3)(x + 5)

x² + 8x + 15

200

Expand: (x − 4)(x + 2)

x² − 2x − 8

300

Expand: (2x + 1)(3x − 5)

6x² − 7x − 5

400

Expand: (x + 6)²

x² + 12x + 36

500

Expand and simplify: (2x − 3)² − (x + 1)(x − 1)

3x² − 12x + 8

Factorising into single brackets

100

Factorise: 3x + 6

3(x + 2)

200

Factorise: 5x + 20

5(x + 4)

300

Factorise: 6x + 8

2(3x + 4)

400

Factorise: 4x + 12

4(x + 3)

500

Factorise fully: 6xy − 9xz + 12x

3x(2y − 3z + 4)

Factorising into double brackets

100

Factorise: x² + 5x + 6

(x + 2)(x + 3)

200

Factorise: x² + 8x + 15

(x + 3)(x + 5)

300

Factorise: x² + 9x + 14

(x + 2)(x + 7)

400

Factorise: x² + 10x + 16

(x + 2)(x + 8)

500

Factorise: x² − 5x − 14

(x − 7)(x + 2)