Y9 EoY Competition

Algebra

100

Expand

3(2x + 4)

6x + 12

200

Factorise

4x + 8

4(x + 2)

300

Expand and simplify

2(3x + 4) + 3x

9x + 8

400

Factorise

8x + 20x

4x(2 + 5)

500

Expand and simplify

(x+3)(x+7)

x² + 10x + 21

Graphs

100

What is the definition of gradient?

The steepness of a line

200

What is the gradient of this line?

y= 2x + 4

2

300

What is the y-intercept of this line?

y= 5x - 3

-3

400

Write the equation for a line with a gradient of 2 and a y-intercept of 1

y= 2x - 1

500

Write the equation for a line with a gradient on -2 and a y-intercept of -1

y= -2x - 1

Ratio

100

Simplify this ratio 8:20

2:5

200

Simplify the ratio

12:24:33

4:6:11

300

Share £250 in the ratio 8:2

£200:£50

400

Share 45 in the ratio 3:5:7

9:15:21

500

Share 750 in the ratio 4:8:3

200:400:150

Solving equations

100

Find x

11 - x = 4

x = 7

200

2x = 15

x= 7.5

300

4x + 5 = 29

x= 6

400

2(3x + 2) = 22

x= 3

500

3(2.5x - 3) = 21

x= 3

Percentages

100

Find 25% of 64

16

200

Find 30% of 120

36

300

Reduce 50 by 20%

40

400

Increase 45 by 40%

63

500

Find 64% of 300

192