Year 9 Mathematics Examination SEMESTER 2 2019

[Pages:20]Year 9 Mathematics Examination SEMESTER 2 2019

QUESTION AND ANSWER BOOKLET

STUDENT NAME: TEACHER: DATE:

TIME ALLOWED FOR THIS PAPER Reading time before commencing work: 10 minutes Working time for this paper: 105 minutes

MATERIAL TO BE PROVIDED BY THE SUPERVISOR

? This Question/Answer Booklet

MATERIAL TO BE PROVIDED BY THE CANDIDATE

? Pen/pencil for answering questions. ? Erasing stationery. ? Up to two scientific calculators. ? Written notes on one unfolded A4 sized paper;

can be double-sided.

TOTAL QUESTIONS: 37 + 3 (extension)

TOTAL MARKS: 120 + 13

Section 1: Non calculator 45 minutes, 51 marks

Section 2: Calculator allowed 55 minutes, 67 marks + 13

AT THE END OF THE EXAMINATION

Attach any extra sheets used to this Question/Answer booklet.

IMPORTANT NOTE TO CANDIDATES

No other items may be taken into the examination room. It is your responsibility to ensure that you do not have any unauthorised notes or other items of a non-personal nature in the examination room. If you have any unauthorised material with you, hand it to the supervisor BEFORE reading any further.

Section 1: Non calculator (Multiple choice - 10 marks)

1. Helen invests $20 000 in a simple interest bank account that pays 4% annually. How much will be in her bank account after 5 years?

[1 mark]

(A) $3200

(B) $12000

(C) $4000

2. Which side (AB, AC or BC) is adjacent to in this triangle?

(D) $24000 [1 mark]

(A) AC (B) BC

(C) AB (D) Opposite

3. Circle the correct answer for the following statement. (3)! in expanded form is:

[1 mark]

(A) 3 ? ? ? ? (B) (3)!?( 3)! ? (3)! ? (3)!

(C) 3!? 3! ? 3! ?3! (D) 3?3?3?3?3

Kinross College Year 9 Mathematics Exam, Semester 2 2019

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4. !!?!

The expression !! simplifies to:

(A) !

! (B) !!

! (C) !!

5. Which ratio represents cos for angle (Y)

! (D) !!

[1 mark] [1 mark]

(A) 5 6.2

(B) 3.62 6.2

(C) 3.62 5

6. What is the solution to the equation 3 - 1 = 4 + ?

! (A) =

! ! (B) = !

! (A) =

! ! (D) = !

(D) 5 3.62

[1 mark]

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7. The length of the hypotenuse in the triangle shown is closest to:

(A) 36 (C) 16

(B) 9 (D) 25

8. 750 000 000 when written in scientific notation is:

(A) 75 ? 10! (B) 7.5 ? 10! (C) 7.5 ? 10! (D) 0.75 ? 10!" 9. The gradient of the following line is:

[1 mark] [1 mark] [1 mark]

(A) - 4 3

(B) - 3

(C) 3 4

Kinross College Year 9 Mathematics Exam, Semester 2 2019

(D) - 3 4

3

10.

A linear relation gives the following table of values:

x -3 -2 -1 0

1

2

3

y -14 -12 -10 -8 -6 -4 -2

The - and - intercepts of the graph of this linear relation are:

(A) (4,0) and (0,4 ) (B) (4, 0) and (0, -8) (C) -4,0 and 0,8 (D) -2,0 and 0,4 (E) (0, -2) and (4,0)

[1 mark]

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Section 2: Non calculator (Short answer- 41 marks)

1.

[3 marks]

Mike put $1 500 into a simple interest account for a year. He did not take any money out or add any money to the account. At the end of the year he had $1 650 on the account. What was the annual interest rate?

2.

[3 marks]

Find the equation of the line that has a gradient of -2 and passes through the point (3, 4).

3. Find the midpoint (, ) of the segment joining (3, 2) and (-4, 5).

[3 marks]

4. The midpoint (, ) of the line segment joining the points (2, 9) and (-7, 3) is:

[3 marks]

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5. Write the following numbers in scientific notation:

a) 957 000 000

[4 marks]

b) 0.00064

6.

[1,2,1,2 = 6 marks]

For each of the lines shown below calculate the gradient and state the equation of the line.

a)

b)

Gradient = y ? intercept = Equation of the line (y = mx + c):

Gradient = y ? intercept = Equation of the line (y = mx + c):

Kinross College Year 9 Mathematics Exam, Semester 2 2019

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7.

[2 marks]

Calculate the length of the side x in the figure below. (Please leave your answer in exact value or round to the nearest cm)

8. Express each of the following in simplest form.

a) ????

b) 6 ? 7

c) 8 ? 5

d) 3 ? 5

e) 7?(-2)

f) (-2)?(-3)?(-5)

g) 20 ? 4

h) 35 ? 5

[8 marks]

Kinross College Year 9 Mathematics Exam, Semester 2 2019

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