Year 9 Mathematics Examination

SEMESTER 2018

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: 100 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: 27 TOTAL MARKS: 100

Section 1: Non - Calculator -

assumed 45 minutes (45marks)

Section 2: Calculator

55 minutes (55 marks)

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.

DO NOT TURN THE PAGE UNTIL ASKED TO DO SO

Kinross College Year 9 Mathematics Exam, Semester 1 2018 1

Kinross College Year 9 Mathematics Exam, Semester 1 2018 2

1.

The results in a class test were: 9, 6, 8, 8, 6, 4, 10, 8, 5 and 7.

Which of the following statements is correct?

(A) Median was 5 and the mode was 8.

(B) Median was 7.1 and the mode was 6.

(C) Median was 7.5 and the mode was 7.1.

(D) Median was 7.5 and the mode was 8.

2.

What is the range of data in this stem-and-leaf plot?

4 3 5 9

5 2 4 8

6 1 2 4 8 9

7 4 5 6

(A) 3

(B) 33

(C) 43

(D) 76

3.

The number of people surveyed is:

(A) 40

(B) 33

(C) 23

(D) 46

Section 1: Multiple choice NON- CALCULATOR(Total 10 marks, one mark per question)

Kinross College Year 9 Mathematics Exam, Semester 1 2018 3

4.

What unit would best describe the volume of dirt in a tip truck?

(A) square centimetres

(B) square metres

(C) cubic centimetres

(D) cubic metres

5.

Which of these is the longest distance?

(A) 0.2305 km (B) 235 m (C) 2305 cm (D) 23 500 mm

6.

The formula used to calculate the area of this shape is:

(A) A =1

2(a+b)h (B) A = bh (C) A =

1

2xy (D) A =

1

2´b´h

Kinross College Year 9 Mathematics Exam, Semester 1 2018 4

7.

Which expression is equivalent to 5a + 6 + 7a − 11?

(A) 12a − 5

(B) 7a

(C) 12a + 17

(D) 11a − 4

8.

The solution to 7x+4 = 60:

(A) 8 (B) 7 (C) 10 (D) 5

9.

Which expression is equivalent to 7(2b + 4)?

(A) 14b + 4 (B) 14b + 28 (C) 9b + 4 (D) 18b

10.

Simplify 6 4(2 1)x

(A) 4 2x (B) 4 6x

(C) 7 8x (D) 10 8x

Kinross College Year 9 Mathematics Exam, Semester 1 2018 5

Section 1: Non Calculator – assumed (Total 35 marks)

11. 1,1,1,1,1

Simplify the following expressions:

a) 6a+8a b) x2 -3y2 + 7x2 + y2

c) 10a´3b d) -3x´-5y´-4x

e) 8b

12ab

12. 1,1,2,3

Expand and simplify:

a) 8(x-3) b) -2(5- y)

c) 5-2(4n+3) d) 3x(x+6)+ x(5x-9)

Kinross College Year 9 Mathematics Exam, Semester 1 2018 6

13. 1,1

Factorise the following:

e) 21- 7b f) 3x2 -12x

14. 1,1,2,3

Solve the following linear equations for x: a) 3x+7 =13 b) 8-4n = -12

c) 5x -3

2= 4 d) 5(1+c) = 8(c+2)

Kinross College Year 9 Mathematics Exam, Semester 1 2018 7

15. 2

Find the perimeter of the following shape:

16. 2

Find the area of the following shape:

17. 3,3

Find the surface area and volume of the rectangular prism:

a) Surface Area = b) Volume =

Kinross College Year 9 Mathematics Exam, Semester 1 2018 8

18. 3,1

Amy played in a total of 20 basketball games. Listed below is the number of points Amy scored in each game.

a) Construct a stem-and-leaf plot for the following set of data.

18 15 7 15 26 21 17 18 24 16 11

5 22 6 6 10 22 20 13 26 15 21

b) What is the median for the above data?

Kinross College Year 9 Mathematics Exam, Semester 1 2018 9

STOP

Kinross College Year 9 Mathematics Exam, Semester 1 2018 10

Section 2: CALCULATOR (Total 55 marks)

1. 1,1,1,1

Convert the following units of measurement to the units given. a) 686 cm = _________________ m b) 0.74 km = _________________ m c) 7.2 m2 = ________________ cm2

d) 8 mm2 = ________________ cm2

2. 2,2,3,3

Find the area of these basic shapes, rounding to two decimal places where necessary.

a) b)

c) d)

Kinross College Year 9 Mathematics Exam, Semester 1 2018 11

3. 3,3

Find the a) Perimeter and b) the area of the following shape:

a) Perimeter = b) Area =

4. 4,4,4

Find the total surface area, rounding to two decimal places where necessary. a) b)

c)

Kinross College Year 9 Mathematics Exam, Semester 1 2018 12

5. 2,3

Calculate the volume of the following solids: a) b)

6. 3

Ben is building a semi-cylindrical rainwater tank that is to be fully enclosed, including a lid, as shown in the diagram below. The tank is 2.1 m tall, and has a diameter of 3m. The water tank is to be made of flat sheets of steel. Find how much sheeting is required to build the water tank. (rounding to two decimal places)

Kinross College Year 9 Mathematics Exam, Semester 1 2018 13

7. 1,2,2

Given that a = -4, b = 9, evaluate the following:

a) a2 +b =

b) b+ a2 +1

2=

c) (b2 +a2 )+ (a2 -b2 ) =

8. 2,2

This frequency histogram shows the times of finishers in a fun run.

a) How many total competitors? b) What is the percentage of competitors that finished better than 40 minutes?

Kinross College Year 9 Mathematics Exam, Semester 1 2018 14

9. 3,2,1

Two Car salespeople are both aiming for a promotion to be the new assistant sales manager. The best salesperson over a 15-week period will achieve the promotion. The number of Cars they sold each week is recorded below.

Salesperson 1: 21 34 40 38 46 36 23 51 35 25 39 19 35 53 45

Salesperson 2: 37 32 29 41 24 17 28 20 37 48 42 38 17 40 45

a) Draw an ordered back-to-back stem-and-leaf plot for the data. b) For each salesperson find the median number of sales and the mean number of sales. c) By comparing the two sets of data, state, with reasons who do you think should get the promotion?

Kinross College Year 9 Mathematics Exam, Semester 1 2018 15

END OF EXAM