maths paper 1

make both 2x first

x = 2, y = 4

x = -2, y = 1

x = -0.5, y = 1

4x - 5 = 2x + 1, find x through equation, find y through x

2x + 3 = -2/3x + 1, find x through equation, find y through x

-2,4 1,-4 1,1 -1,4

0,-3 2,3 2,-1 -2,-3

1,1 2,1 -4, -1 2,0

b) (1, 4)

CDE = X (alternate segment theorem)

CED = 180 - x/2 as angles at the base of an isosceles triangle are equal

OEC - 90 - x as tangent meets radius at 90

(180 -x/2) - 90 - x = 90 -1/2x - 90 + x

= 1/2x

6 × 5/2 = 15

scale factor = 15/6 = 5/2

12.5 divide 5/2 = 5

a) scale factor = 12/9 = 4/3, AD = 6 × 4/3 = 8cm, 8 - 6 = 2cm

b) 7 divide 4/3 = 7 × ¾ = 21/4cm

a) scale factor = 10/4 = 5/2 × 5 = 25/2

b) AD = 4.8 × 5/2 = 12cm - 4.8 = 7.2cm

a) scale factor = 12/8 = 3/2 × 26 = 39cm

b) 45 divide 3/2 = 30

a) scale factor 9/6 = 3/2 × 8 = 12cm

b) 13.5 divide 3/2 = 9cm

a) scale factor = 15/5 = 3 × 4 = 12cm

b) 15 - 5 = 10cm

3 8 7 21

7 3 5 0

3 2 -9 7

1 -3 -3 3

-1 -2 -4 3

-2a -a + b -b

4a -2a + 2b -2a -2b

-5a + 3b (-5/2)a + (3/2)b 5/2(a) + (3/2)b