YEAR 7 MATHEMATICS EXAMINATION SEMESTER 2 2017

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: 60 TOTAL MARKS: 104 Section 1:NON-CALCULATOR

31 questions, 46 marks

Attempt questions 1 - 31

Section 2: CALCULATOR

28 questions, 58 marks

Attempt questions 1 - 28

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 this page until you are asked to.

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Section 1: NON-CALCULATOR (Total Marks 47)

1. When $360 is divided in the ratio 5 : 7, the result is: (1 Mark)

140 : 100

80 : 160

120 : 80

150 : 210

2. If the value of a = 10 and the value for b = 7 then what would be the answer to

a + 3 × b? (1 Mark)

55

31

29

46

3. What is the value of x? (1 Mark)

50˚ 110˚ 130˚ 170˚

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4. What is the value of x and y? (1 Mark)

56x o and 56y o

56x o and 124y o

76x o and 76y o

124x o and 124y o

5. What is the correct name for the following angle? (1 Mark)

ÐCAB ÐBCA ÐCBA ÐACB

6. 12 + (-9) – (-4) is the same as: (1 Mark)

12 + 9 + 4 12 – 9 + 4 12 – 9 – 4 12 - 12

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7. Dina has a 5000L water tank that she uses to water her vegetable garden. The graph

shows the amount of water in the tank at the beginning of the week for a 12-week period. In which weeks can you be certain there was rain? (1 Mark)

2, 8 and 9 4, 7 and 8 3, 6 and 7 None of the above

8. This table summarises the time Amy spent walking her dog over five days. (1

Mark)

What is the average (mean) time Amy walks her dog over five days?

40 minutes 52 minutes 65 minutes 260 minutes

Day Time

Saturday 1 hour

Sunday 43 minutes

Monday 45 minutes

Tuesday 1 hour and 2 minutes

Wednesday 50 minutes

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9. For the dot plot shown below, the mean value is: (1 Mark)

7 4 4.5 4.785

10. The ratio of girls to boys in a class is 5 : 4. If there are 30 girls in the class, how many boys are there? (1 Mark)

16 20 24 12

11. One extra number is added to the data set 13, 11, 5, 8, 3 and this causes the mean to

double. What is the number? (1 Mark)

40 8 16 56

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12. Which of the following pairs of angles are complementary? (1 Mark)

82°, 98° 23°, 67° 119°, 151° 34°, 46°

13. What is the median of the following numbers? (1 Mark)

4 4 6 5 8

4 6 5 8

14. Which of the following statements is incorrect? (1 Mark) -3 > -4 0 < 6 0 < -11 -5 < 4

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15. What is the value of n? 𝑛 − 7 = 18 (1 Mark)

23 16 7 25

16. . m = 5 is a solution to: (1 Mark)

3m – 6 = 8 12 – 2m = 2 m + 5 = 0 2m – 4 = 10

17. Solve 𝑥

9 = 3: (1 Mark)

30 3 27 1.3

18. A like term for 6a is: (1 Mark)

6 abc

11a 5ab

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19. Which set of numbers is in ascending order? (1 Mark)

0, 7, 2, 6 13, 12, 3, 1 -10,- 9, 8, -7 2, 3, 7, 15

20. Solve the following: (1 Mark)

5 = 4 + 𝑑

d=1 d=5 d= 9 d= 11

21. Daisy is 6 years older than her brother Jimbo and the sum of their ages is 36 years. How old is Jimbo? (3 Marks)

22. For the expression 8a - 5b – c + 4, state the coefficient of b. (1 Mark)

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23. Without using a protractor, find the value of each unknown pronumeral in the following diagrams. Give a reason for each answer. (4 Marks)

a) b)

24. What is the value of 𝑛? 7𝑛 ÷ 2 = 14 Show your working. (2 Marks)

25. A school bus window has rectangular window with a length of 3 metres and a

breadth of x metres. The length and breadth are doubled. What is the new area of the rectangle? (2 Marks)

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26. What is the value of x? Show working. (2 Marks)

27. If pens cost $3 each, write an expression for the cost, in dollars, of n pens. (2 Marks)

28. Judy completes a dive 6m below sea level; she comes up 0.5m every 2 seconds. After

10 seconds, what position will she be at? (2 Marks)

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29. State the value of a. (2 Marks)

30. Lucy spent $9.15 at a fast food shop. How much change does she receive from $20?

(2 Marks)

31. Calculate the range, mean, median and mode for the following set of data:

1, 9, 2, 2, 6 (4 Marks)

a) Range = c) Median =

b) Mean = d) Mode =

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STOP – END OF SECTION 1 – NON-CALCULATOR

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Section 2: CALCULATOR ALLOWED (Total - Marks 68)

1. The sum of the interior angles of a triangle is always: (1 Mark) 360° 180° 90° none of the above

2. If 20 dogs eat 15 kg of meat, how much meat would 12 dogs eat? (1 Mark)

9 kg 7.8 kg

7.5 kg 1.5 kg

3. Aiden has a slot car set and wants to extend his track. He needs 4.3 metres of track,

which will cost him $5.65 per metre. How much will the extensions cost? (1 Mark)

$24.50 $20

$24.30 $45

4. Sam has five birds, two dogs and three cats as pets. The ratio of dogs to cats to total number of pets is? (1 Mark)

2 : 3 : 10 2 : 3 : 5

5 : 2 : 3 2 : 5 : 10

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5. Adding a negative number is equivalent to: (1 Mark)

subtracting its opposite adding its opposite

multiplying its opposite dividing its opposite

6. The range of the numbers 1, 5, 3, 9, 12, 41, 12 is (1 Mark)

40 41 12

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7. The temperature inside a mountain hut is initially -5° C. After burning a fire for 2

hours the temperature rises to 17° C. What is the rise in temperature? (1 Mark) -12°C 12°C 22°C

-22°C

8. John’s mobile phone plan charges a 15-cents connection fee and then 2 cents per

second for every call. If a call cost 39 cents, how long did it last? (1 Mark)

10 seconds 15 seconds 12 seconds

24 seconds

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9. An isosceles triangle has a perimeter of 380 mm. If the base is 146 mm, find the length of the other two sides. (1 Mark)

146 mm 234 mm 120 mm 117 mm

10. If a = 6 and b = -4, find the value of 𝑎2 + 𝑏2 (1 Mark)

52 20 2 50

11. What does the following expression, 5𝑥𝑦 + 37𝑥 − 4𝑦𝑥 + 4𝑥 simplify to? (1 Mark)

42xy – 40x x + 40xy 9xy +40x

xy + 41x

12. Use the rule n = m + 7 to complete the table of values below. (2 Marks)

m 2 5 10 12

n

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13. Ethan has a debt of $120 on his credit card. He buys another item using his credit

card, which adds an extra debt of $90. At the end of the month $140 is paid back. What is the final balance on Ethan’s credit card? Please show your working. (2 Marks)

14. Calculate the answer to the following:

5𝑥(−6) = (1 Mark) −56 ÷ 8 = (1 Mark) −124

−4=

(1 Mark) 6 × (−2) =

(1 Mark)

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15. Gavin mows 60% of the lawn in 48 minutes. How long will it take him to mow the entire lawn if he mows at a constant rate? (2 Marks)

16. What is the mean mode and median of the following data? (3 Marks)

42, 42, 43, 45, 48, 50, 52

17. If 𝑎 = −2 and 𝑏 = 6, then 𝑎𝑏 – 𝑎 is equal to: Show working. (2 Marks)

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18. A truck uses 12 litres of petrol to travel 86 km. How far will it travel on 42 litres of

petrol? (2 Marks)

19. Look at the following diagram and state which angle is: (3 Marks) (a) alternate to u : _____________________ (b) corresponding to x : ___________________ (c) co-interior to w : ______________________

20. A number is doubled and then 5 is added. The result is then tripled. If the number is represented by k, then write an expression for this description. (2 Marks)

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21. Write these fractions in simplest form. (4 marks)

8

16=

7

21=

14

6=

24

8=

22. The set 3, 7, 9, 10 has one extra number added to it, and this causes the mean to be doubled. What is the number? (2 Marks)

23. Simplify by gathering the like terms: (2 Marks) 7𝑎 + 2𝑏 + 9 + 𝑎 + 2𝑎 + 4𝑏

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24. Calculate the value of the unknown angle. (2 Marks)

25. Tom begins a hill climb at 10 am. After climbing for 1 hour, he rests for half an hour then continues his climb. He has lunch for 1 hour then returns to the base of the hill. This information is shown on the travel graph below. (6 marks)

(a) What times are represented by the following letters?

(i) A _________________

(ii) B _________________

(iii) C _________________

(b) How far did Tom hike before he took his first break?

(c) How much time did the hike down the hill take?

(d) What was the total distance travelled?

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26. Write the coordinates of each point below. (4 marks)

A _________

B _________

C _________

D _________

27. Find the value of x° in the figure below. Ensure you show all your workings (2 marks).

.

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28. Bob is moving into his new house. The removalist charges $130, plus $90 for each hour he works. The removalist takes d hours to move the furniture to the new house.(3 marks)

(a) If the removalist took 2 hours to complete the job, how much would it cost Bob?

(b) If C represents the total cost for d hours, write an equation for the total cost.

(c) If Bob paid $400 altogether, how many hours did the removalist take to do the job?

END OF EXAMINATION