Cambridge International AS and A Level Mathematics Pure Mathematics 1

Chapter

(^2)
P1^
  6 (i) 18
(ii) − 2
(iii) 0 or 8
(iv)  8
  7 (i)
(ii) AB = BC = 125
(iii) (^) ()–, (^31212)
(iv) 17.5 square units
  8 (i) (^2) xy
(ii) (2x, 3y)
(iii) 41 xy^22 + 6
  9 (i)
(ii) gradient BC = gradient AD
=^12
(iii) (6, 3)
10 (i) 1 or 5
(ii)  7
(iii)  9
(iv)  1
11 Diagonals have gradients^23 and

-^32 so are perpendicular.

Mid-points of both diagonals are
(4, 4) so they bisect each other.
52 square units

Exercise 2B (Page 49)

  1  (i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

(xi)

(xii)

(xiii)

(xiv)

y

–4–2 2 4 6 8 x

–2

0

2

4

C

A

B

x

y

0 2 4 6 8 10 12

2

4

6 C D

B

A

O

–2

x

y

y = –2

O x

y

x = 5

5

x

y y = 2x

O

x

y

y = –3x

O

x

y y = 3x + 5

5

–1^23 O

x

y

y = x – 4

–4

O 4

x

y

 y = x  

– O

x

y

y =^ x + 2

–4 O

2

(^12)
x
y y = 2x +

• O

(^12)
(^12)
(^14)
x
y
y = –4x + 8
O
8
2
x
y y = 4x – 8
O
–8
2
x
y
y = –x + 1
O
1
1
x
y
–4 –2O
y –^12 x –2
x
y
O
–
y =  – 2x
 2