Name:

Teacher: Mr. Cheung Date: 06/12/2018

KIANGSU-CHEKIANG COLLEGE International Section

Year 11 Mathematics (4MA0) Mock Exam - Paper 1

Time Allowed: 2 hours Calculators are allowed.

⎛⎜⎝

⎞⎟⎠

⎜⎝⎛ − ⎞

⎟⎠−

x

y

y

k

k

w

w

w

w

w

w

w

w

w

w

w

w

w

w

w

1−2

x x + 3

9 4

3 − 17 + 10

2

2

xx x

−

w p ww

=−+ 4

2

P Q

R

PQR

O

O t t s

s 3= + 1

t

t v

v t

v

xx

x

x x + 1

2x

x

x

2

PR

Q

O

N

M

Diagram NOT accurately drawn

OMN is a triangle.

P is the point on OM such that OP = 1

4OM

Q is the midpoint of ON R is the midpoint of PN

OP→

= p OQ→

= q

(a) Find, in terms of p and q,

(i) MN→

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(ii) PR→

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(2)

(b) Use a vector method to prove that QR is parallel to OP

(2)

(Total for Question 2 is 4 marks)

23

ABCDEF is a triangular prism.AB = 9 cm, BC = 15 cm and AE = 12 cm.

Angle ABC = 90°M is the midpoint of CD.

Calculate the size of the angle between AM and the plane BCDF.Give your answer correct to 1 decimal place.

.. . . . . . . . . . . . . . . . . . . . . . . . . . .°

(Total for Question 23 is 5 marks)

F

M

CB

A

D

E

12 cm

9 cm

15 cm

Diagram NOT accurately drawn