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YEAR 8 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: 90 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: 52 TOTAL MARKS: 100

Section 1: 50 minutes

NON-CALCULATOR

27 questions,

50 marks

Section 2: 50 minutes

CALCULATOR

25 questions,

50 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 you are asked to do so.

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Section 1: NON-CALCULATOR (Total 50 Marks)

1. (1)

How many more students caught the bus on Tuesday compared to Thursday?

4 7 8 6

2. (1)

The term linear relationship refers to:

A linear relationship will result in a curved graph

A linear relationship will result in a bent graph.

A linear relationship will result in a straight line graph.

A linear relationship will result in no graph.

3. (1)

Is the following set of coordinates true for the given equation?

𝑦 = 4𝑥 − 1 Coordinates: (1,3)

True False

4

4. (1)

What is the mixed number represented by this diagram?

3

4 2

3

4 2

2

3 2

1

2

5. (1)

Which number is an example of a recurring decimal?

32.85 6.666… 7.757575 3.565486

6. (1)

Xanthe asked 30 0f her students to pick their favourite sport. 8 picked Football, 15 picked

Volleyball, 7 picked Basketball, and 3 picked Tennis.

Which sport belongs in each position A, B, C, D?

A- Football

B- Volleyball

C- Basketball D- Tennis

A- Volleyball

B- Football

C- Tennis D- Basketball

A- Football

B- Tennis

C- Basketball D- Volleyball

A- Tennis

B- Volleyball

C- Basketball D- Football

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7. (1)

A netball game consists of four quarters and three rest breaks. The ratio of game time to rest

time is 15:4. If total rest time is 16 minutes, what is the game’s total duration?

16 minutes 44 minutes 60 minutes 76 minutes

8. (1)

Written as a ratio, what is 30 cm to 1 m? (Hint: remember to convert)

30:1 30:10 30:100 30:1000

9. (1)

What is the solution to 12 − 3𝑥 = 24

𝑥 = −4 𝑥 = 6 𝑥 = 2 𝑥 = −3

10. (1)

In Katie’s class, the ratio of boys to girls is 3:4.

How many girls are in the class if there are 12 boys?

17 18 20 16

11. (1)

Which equation could represent the following statement? A number is added to 5, then the

result is multiplied by 4 to give an answer of 1.

(n+5)- 4 =1 4(n+5) =1 𝑛+4

5= 1

𝑛+5

4= 1

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12. (1)

What are the coordinates of C?

(3,1) (1,3) (5,0) (2,2)

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Section 1: NON-CALCULATOR (Short Answers)

13. (1)

Find the mode from the histogram shown

Mode =

14. (1)

The sum of x and 11 is 44. Construct an equation and find the value of x.

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15. (3)

A tennis player records the number of double faults they serve per match for one month.

Double faults

0 1 2 3 4 5

Frequency 4 3 1 0 3 1

a) How many matches did they play in total during the month?

b) How many times did they serve exactly 3 double faults?

c) In how many matches did they serve 4 double faults?

16. (1)

Consider the given triangles. Is there enough information to prove that △ WXY is congruent to △ EBF ? (yes or no)

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17. (1)

Three consecutive numbers add to 42. What is the largest number of the three?

18. (3)

A piece of rope is cut into three lengths in the ratio 2:3:6. If the shortest length is 12 m:

a. Find the middle length of the rope.

b. Find the longest length of the rope.

c. Now calculate the total length of the rope.

19. (2)

A student tries to simplify 32 ´34and gets the result 96 .

a. Is this correct? (1 mark)

b. Write out 32 ´34 in expanded form, and explain why it is not the same as 96 ?

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20. (2)

Simplify:

a) 2a3 ´ 4a2 ´3a b) 20b7

5b2=

21. (2)

Consider the numbers 34% and 0.13.

a. First convert 0.13 to a percentage.

b. Select the symbol that makes this expression true. (=, <, >)

34% ? 0.13

22. (2)

Express the fraction 20

25 as a percentage.

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23. (2)

Consider the recipe for cookies shown below. If we wanted to double the recipe, how many cups of flour would we need? Give your answer as a mixed number.

= __________

24. (1,1,1,1,2 = 6 marks)

Evaluate each of the following:

a) 5

7-

2

7 b)

1

8+

1

3=

c) 5

7´

6

8= d)

4

15¸

2

5=

e) 21

2´1

4

5

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25. (½, ½, ½, ½ ,1 =3 marks)

Consider the relationship between the number of squares and n.

a. Complete the table:

n 1 2 3 4

Number of

squares

b. Find the number of squares when n = 9.

26. (2)

5 numbers have a mean of 7. If 4 of the numbers are 7, 7, 5 and 6 and the last number is x, solve for the value of x.

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27. (½, ½, ½, ½, ½, ½, ½, ½, 1, 1, 1 =7 marks)

Complete these tables of values.

y = 2x + 1 y = 4 – x

Sketch each line on the same number plane and state the point of intersection of the two

lines.

DO NOT TURN PAGE UNTIL TOLD TO DO SO. END OF NON-CALCULATOR SECTION

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Section 2: CALCULATOR (Total 50 Marks)

1. (1)

It’s “Back to School” time and a shop recorded the number of pens they sold this week.

(Where represents 5 pens)

How many more pens were sold on Saturday than on Tuesday?

10 15 20 2

2. (1)

The mean of the data in this frequency table is:

Score (x) Frequency (f)

11 2

12 3

13 5

14 3

15 1

TOTAL

12.1 11.4 12.9 13.8

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3. (1)

The decimal equivalent of 7

20 is what?

0.35 0.7 0.4 0.14

4. (1)

A labourer lays 20 tiles in 50 minutes. The amount of tiles he lays in two hours is:

20 48 50 24

5. (1)

When $3600 is divided in the ratio 1:3, what are the parts?

$1200 and $2400

$900 and $2700

$1500 and $2100

$1200 and $2700

6. (1)

Which ratio is the same as 14:35:21 written in simplest form?

5:7:3

2:5:3

8:14:6

32:56:24

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7. (1)

Simplify 9𝑚 + 2𝑛 − 5𝑚 − 2𝑛.

4𝑚 12𝑚 + 4𝑛

2𝑚𝑛

2𝑚 + 4𝑛

8. (1)

During the day, a patient had her temperature measured as 57.3°C, 58°C, 47.8°C and 48.5°C.

Her average temperature was:

37.8°C 49.5°C 58°C 52.9°C

9. (1)

What is the solution to 3𝑥 − 6 = 2𝑥 + 9?

𝑥 = 16

𝑥 = 15

𝑥 = 12

𝑥 = −2

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10. (1)

What is the equation used to construct this table?

X 0 1 2

Y 5 7 9

𝑦 = 3𝑥 + 3

𝑦 = 6𝑥

𝑦 = 2𝑥 + 5

𝑦 = 3𝑥 + 5

11. (1)

How many decimal places are there in the answer to 16.18 × 15.4?

8 1 3 4

12. (1)

What is 126.48 + 448.8 + 31.457?

205.513

606.017

606.737

291.593

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Section 2: CALCULATOR (Short Answers)

13. (1)

David’s batting scores for cricket in a season are 27, 23, 19, 0, 7, 21, 12. Calculate Kevin’s

mean score to the nearest whole number.

14. (1)

An electrician charges a $50 call-out fee and $60 per hour. On a particular job, the electrician

charged $470. How many hours did the electrician work for?

15. (2)

A school has 1200 students. 7% of the students ride a bicycle to school, 23% are driven to

school by their parents, 9% drive to school and 38 % catch the bus. The remainder of the

students walk to school.

a) What percentage walk to school?

b) How many ride a bicycle to school?

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16. (2)

Write the rule for the following table: (y = mx + c)

17. (1,1,2,2 = 6 marks)

Solve each equation:

a) 7x = 35

b) 7m-3= 46

c) a+12

5= 2

d) 3(2d - 4) =18

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18. (1,1,2,2 = 6 marks)

Simplify:

a) g5 ´g9

b) m12 ´m8

c) 2h6 ´3h´5h3

d) x2y3( )

4

´ x3y2( )xy( )

7´ x2y0( )

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19. (2)

Entry to a fun park costs $15 plus $4 for every ride. Morgan takes $91 to the park.

How many rides can Morgan have?

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20. (2)

The mode of the given scores is:

1, 1, 1, 4, 4, 5, 5, 6, 3, 3, 7, 6, 5, 4, 6, 2, 1, 8

21. (3)

Complete each pair of equivalent ratios

a) 3: 11 = 12: _____

b) 24:16 = _____: 2

c) 132: 66 = _____: 6

22. (2)

Which of the triangles are congruent? Give a reason for your answer.

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23. (3)

The table shows the scores of Student A and Student B in 5 separate tests.

a. Find the mean of the scores of Student A.

b. Find the mean of the scores of Student B.

3+

c. What is the median of the scores of the two students combined?

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24. (2,2,2 = 6 marks)

The following chart represents the number of gold, silver and bronze medals

won by the American team over four Winter Olympic Games.

a. What fraction of the medals won in 2002 were gold medals?

b. What fraction of the medals won in 2006 were silver medals?

c. What fraction of the bronze medals won since 2006 (including medals won in 2006) were won in 2014?

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25. (2)

The perimeter of this triangle is 161 cm.

a. Write the perimeter of the triangle in terms of x and simplify.

b. Solve for the value of x.

***End of Exam***