year 11 mathematics (4ma0) mock exam - paper 1€¦ · name: teacher: mr. cheung date: 06/12/2018...
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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