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1 YEAR 7 MATHEMATICS EXAMINATION SEMESTER 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: 81 Section 1:NON-CALCULATOR 30 questions, 43 marks Attempt questions 1-30 Section 2: CALCULATOR 30 questions, 38 marks Attempt questions 1-30 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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3 Section 1: NON-CALCULATOR (Total Marks 43) 1. When $240 is divided in the ratio 5 : 7, the result is 140 : : : : For the expression 8a - 6b c + 4, state the coefficient of b. 3. If the value of a = 8 and the value for b = 5 then what would be the answer to a + 3 b? A rectangle has sides where the length is double the width. If the perimeter is 360 cm, what is the length of the rectangle? 120 cm 60 cm 180 cm 90 cm 3
4 5. The following ratio 36:24 simplifies to 6:8 2:3 3:2 9:4 6. Lucy is knitting a scarf. If, at the end of Monday the scarf measures 20 cm long and she can knit 15 cm in a day, how long is the scarf at the end of Saturday in centimetres? 75 cm 95 cm 125cm 105 cm 7. A school bus left Kinross College with 31 students on board. Thirteen students got off at Currambine Station. The bus collected 24 more students at Mindarie College. How many students were left on the bus? 4
5 (-9) (-3) is the same as 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? 5, 10 and 11 4, 7 and 8 3, 6 and 7 None of the above 10. Judy completes a dive 5m below sea level; she comes up 0.5m every 2 seconds. After 10 seconds, what position will she be at? 5
6 11. Calculate the range, mean, median and mode for the following set of data: 1, 7, 1, 2, 4 a) Range = c) Median = b) Mean = d) Mode = 12. Find the value of x in this equation: 3x + 10 = 43 x = 3 x = 11 x = 10 x = For the dot plot shown below, the median value is:
7 14. The ratio of girls to boys in a class is 5 : 4. If there are 25 girls in the class, how many boys are there? Find the distance travelled by a cyclist who rides for 3.5hrs at a speed of 12km/h. 16 If pens cost $2 each, write an expression for the cost, in dollars, of n pens. 17 Which of the following is the same as 75 cm? 750 m 7.5 km 7.5 mm 750 mm 7
8 18 The number of each plant in stock at a nursery is shown in the column graph. What is the total number of plants in stock? A box measures 30 cm deep, 20 cm high and 30 cm wide. What is its volume? Which of the following statements is incorrect? -2 > -4 0 < 5 0 < < 3 8
9 21. Which of the following sets of numbers has a mode of 3 and a mean of 2? 1, 1, 2, 2, 3 1, 3, 3, 3, 0 2, 2, 2, 4, 5 1, 2, 3, 3, m = 4 is a solution to: 3m 6 = m = 2 m + 4 = 0 2m 4 = Solve = 12: A truck carries a large rectangular container of dimensions 6 m long, 3 m wide and 2 m high. The truck weighs 15.4 tonnes without its load. Find the volume of the container in. 9
10 25. Lucy spent $9.25 at a fast food shop. How much change does she receive from $20? 26. A like term for 5a is: 5b abc 7a 5ab 27. Which set of numbers is in ascending order? 0, 4, 2, 6 9, 6, 3, 1-11,- 9, 8, -2 2, 3, 7, Lisa is 5 years older than her brother John and the sum of their ages is 31 years. How old is John? 29. Three consecutive multiples of 5 add up to 90. What are the numbers? 10
11 30. Martin has a piece of string 32 cm long. He uses it to form rectangular shapes each with the length and width a whole number of centimetres. How many different rectangular shapes can he form? STOP END OF SECTION 1 NON-CALCULATOR 11
12 12
13 Section 2: CALCULATOR ALLOWED (Total - Marks 38) 1. Jo bought 2 bottles of juice and 6 packets of chips. The total bill was $14. If the juice cost $2.80 per bottle, what did he pay for a packet of chips? $1.60 $1.40 $3.60 $ 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? 3. What length of party lights is needed to decorate the perimeter of a rectangular tent with dimensions 15.5 m by 8.75 m? 136 m 48.5 m 49 m 135 m 4. What does the following expression, 5xy + 37x -4yx +3x, simplify to? 42xy 40x x + 40xy 9xy +40x xy + 40x 13
14 5. Jill is climbing up a steep and slippery path to get a bucket of water. When she is 6m above her starting point, she slips back 1 m, grasps some bushes by the side of the path and climbs 7 m more to a flat section. How far above her starting point is she when she reaches the resting place? 11 m 14 m 13 m 12 m 6. The cost of hiring a taxi is $3.80 plus $1.20 per kilometre travelled. Find the maximum distance that can be travelled in a taxi for $ km 15 km 16 km none of the above 7. If 20 dogs eat 15 kg of meat, how much meat would 12 dogs eat? 9 kg 7.8 kg 7.5 kg 1.5 kg 14
15 8. The shape has been drawn on centimetre grid paper. Estimate its area. 22 cm 2 21 cm 2 30 cm 2 38 cm 2 9. Use the rule n = m + 8 to complete the table of values below. m n 10. A rectangular block of land measuring 40 m long by 24 m wide is cut in half along a diagonal. What is the area of each triangular block of land? 480 m m m m 2 15
16 11. 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? $24.50 $20 $24.30 $ If it takes 2.5 minutes to fill a 4L bucket, how long will it take to fill a 5L bucket (to the nearest minute)? 6 minutes 5 minutes 3 minutes 4 minutes 13. Sam has five birds, two dogs and three cats as pets. The ratio of dogs to cats to total number of pets is? 2 : 3 : 10 2 : 3 : 5 5 : 2 : 3 2 : 5 : The area of a triangle is 10 and its base length is 4 cm. What is its height? 5 cm 40 cm 20 cm 2 cm 16
17 15. A small business has a bank balance of -$ An amount of $ of extra debt is added to the balance and, later, $ is paid back. What is the final balance? -$ $ $ $ Adding a negative number is equivalent to subtracting its opposite adding its opposite multiplying its opposite dividing its opposite 17. Give an example of a set of numbers with the following properties: Mean = median = mode 18. What is the area of a square with a side measuring 6 m? 24 m
18 19. The range of the numbers 1, 5, 3, 9, 12, 41, 12 is 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? C 21. If a = -2 and b = 5, then ab a is equal to: 22. A truck uses 12 litres of petrol to travel 86 km. How far will it travel on 42 litres of petrol? 18
19 23. $750 is divided in the ratio 1 : 3 : 2. The smallest share is: $250 $375 $125 $ 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. 25. 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? 10 seconds 15 seconds 12 seconds 24 seconds 26. John is a professional home painter. When painting a new home he uses an average of 2.5 litres of paint per hour. How many litres of paint would John use in a week if he paints for 40 hours? 100 litres 20 litres 120 litres 80 litres 19
20 27. A saltwater swimming pool requires 2 kg of salt to be added for every litres of water. Joan s swimming pool is 1.5 metres deep, 5 metres wide and 15 metres long. How much salt will she need to add to her pool? 22.5 kg 20.5 kg 50 kg 25 kg 28. An isosceles triangle has a perimeter of 380 mm. If the base is 146 mm, find the length of the other two sides. 146 mm 234 mm 120 mm 117 mm 29. A diver is at a height of -90 m from the surface of the sea. During a diving exercise, the diver rises 50 m, falls 138 m and then rises once again by 35 m. What is the diver s final height from sea level? 30. If a = 6 and b = -4, find the value of END OF EXAMINATION 20
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