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2018 Y10 da Vinci AT4 (Yearly)
math advanced
Knox Grammar School
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KNOX GRAMMAR SCHOOL
2018 Yearly Mathematics Examination
Year 10 da Vinci and Core 1
General Instructions
Total Marks – 40
Working time – 40 minutes
Questions are worth one mark each.
Write your answers on the multiple choice answer sheet only.
You are permitted to use one A4 page of handwritten notes in the exam.
+++
This paper MUST NOT be removed from the examination room
Student Name: _________________________
Teacher’s Name:________________________
Total Mark
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- Blank Page -
4 The expression 5 2 x 3 x
simplified is:
A. 6
5 x
B. 17 6 x
C. 52 6 x
D. 172 6 x
5 Which of the following is equal to 2 xy 4?
A. 24
xy
B. 2 x 4 y
C. 14 2 xy
D. 2 y 4 x
6 The gradient of a line perpendicular to the line 2 x 5 y 6 is:
A. 5
2
B. 1
2
C. 1
2
D. 5
2
7 What is the area of the triangle below?
A. 13 2
B. 18 2
C. 22 2
D. 26 2
8 If sin 0 and cos 0,then lies in:
A. The 1st quadrant B. The 2nd quadrant C. The 3rd quadrant D. The 4th quadrant
9 Select the expression that is equal to log( x 2 )for values of x.
A. 2log x B. (log x) 2 C. log( x 2) D. log(2 )x
10 The solution for x x( 3)( x 2) 0 are:
A. x 3 orx 2 B. x 3 orx 2 C. x 0 or x 2 orx 3 D. x 0 or x 2 orx 3
14 The equation of the axis of symmetry for the graph below is:
A. y 1 B. x 0 C. x 1 D. x 2
15 The diagram shows the graph of an equation.
Which equation describes this graph the best?
A. y ( x2) 2 B. y x 2 4 C. y ( x 2) 2 4 D. y ( x 2) 2 4
16 What are the solutions of x 2 3 x 1 0?
A. 3
2
x
B. 3
2
x
C. 3 2
2
x
D. 3 2
2
x
17 For the equation 5 t 2 7 t 2 0 :
b 2 4 ac ( 7) 2 4 5 2
49 40
9
What can be said about the solutions for the equation above?
A. There is only one solution B. The two solutions will be irrational C. The two solutions will be rational D. There are no real solutions
18 The exact value of tan 30 is:
A. 1
3
B. 3
C. 1
2
D. 1
23 The equation of the straight line show is:
A. y x 1
B. y x 2
C. y 2 x 1
D. y 2 x 2
24 What is the correct domain for the relation y 2 x 2?
A. x R B. x [ 1, 2] C. x [2,8] D. x [0,8]
25 The height of six badminton players (in cm) are:
178 185 173 193 183 193.
The mean and standard deviation of the data is closest to:
A.
_ x 184 7.
B.
_ x 184 7.
C.
_
x 184 8.
D.
_
x 184 7.
26
1 1 1
2 8
16
n n n
simplified is:
A. 2
B. 26
C. 2 1
D. 2 2
27 The equation of a horizontal line passing through the point ( 4,8) is:
A. x 4 B. x 4 C. y 4 D. y 4
28 Which of the following is the correct asymptote for the graph y 2 x 1 3?
A. x 1
B. x 1
C. y 3
D. y 3
32 10 x 8 in index form is:
A.
14 10 2 x
B.
16 10 2 x
C. 10 x 4
D. 10 x 2
33
Select the correct values for x and y.
A. x 1 y 6.
B. x 1 y 7.
C. x 5 and y 1. D. x 5 and y 3.
34 The mean of a set of five scores is 11. If four of the scores are 17, 9, 14 and 6, what is the fifth score?
A. 8
B. 10
C. 11.
D. 13
35 If f ( )x x 3 1 , then f ( 1)
A. 0
B. 1
C. 2
D. 3
36 The value of x in the diagram below is:
A. x 150
B. x 151
C. x 152
D. x 153
37 The equation of the graph of the hyperbola is:
A. 1
2
y x
B. 1
2
y x
C. 2
2
y x
D. 2
2
y x
2018 Y10 da Vinci AT4 (Yearly)
Subject: math advanced
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