Year 7 Term 2 Exam. Name : Class : Day : Saturday / Sunday

Transcription

1 Year 7 Term 2 Exam Name : Class : Day : Saturday / Sunday SECTION SECTION B TOTL / 2 marks / 67 marks / 88 marks %

2 Section : Multiple Choice Questions. Please circle the correct answer for each of the question. Each question is worth mark. Total marks: 2 What is x in expanded notation or form? x B. x x x C. x x x D. x + x + x E. x x x 2 What is 2 as a basic numeral? 6 B 8 C 6 D 2 E 2. The answer to n n 2 is: n 5 B n 6 C n D n 2 E n 2 What is 2z 0? 2z B 2z C 2 D 2 E 5 What is 50 written in scientific notation? B C D E What is as a basic numeral? B 27.6 C 276 D 2760 E Which of the following fractions will convert to a recurring decimal? ½ B ¾ C. 9 D. E Which of the following is an irrational number.. B. C D. ¾ E. 5 9 closed box has a square base of 6 cm 2 and a height of cm. The total surface area is: 72 cm 2 B 96 cm 2 C 2 cm 2 D 8 cm 2 E 68 cm 2 XJS Coaching School Page 2

3 0 The perimeter of the figure below is: B C D E 0 mm 6 cm 6 mm 58 cm 58 mm large field has a length of 0.2 kilometres. Its length in metres is: m B.2 m C 20 m D m E m 2 The volume of a cylinder whose radius and height are both cm is: π cm B 2π cm C π cm D π cm E None of the above What is 50.5 litres equivalent to? 505 cm B 5050 cm C cm D cm E cm 5 t a school meeting, 60.9% of students at the local College voted for more healthy food in their canteen. What is this as a decimal? B C D 6.09 E ccording to the school record books, 7 out of 2 students have more than 2 siblings. What is this as a percentage? 55% B 58.% C 6% D 72% E 75% 7 Hassim finds out that 20% of a family watches television every night. s a fraction this is: B C D E What is 5% of 60? 27 B 0 C 2 D 5 E 55 XJS Coaching School Page

4 8 The amount after years of $000 at 6% simple interest is: $56 B $50 C $60 D $50 E None of the above. 9 20% of a cake costs $20. The cost of the full cake is:. $50 B. $80 C. $00 D. $20 E. None of the above. 20 Mary s annual salary is $ Her weekly salary (to 2 decimal points) is:. $70.77 B. $76.67 C. $ D E. None of the above. 2 John bought a car for $0000 and sold it two years later for $ His percentage loss is:. 0% B..% C. 50% D. 20% E 0% Section B: Short answer Questions. Please show all working out. Total mark: 67 marks. Write each of the following in expanded or factor form: a) 5x y b) 29a 2 b c 2. Write each of the following in index form. a) 6 x x x 2 y y [2 marks] b) 9 p p p p 2 r q q. Simplify each of the following. a) t 2 t [2 marks] b) x y 5 x 2 y 6 [2 2 = marks] XJS Coaching School Page

5 . Simplify each of the following. 00b 2b a) 2 2 b) c) 2 20x y 2z 25x y 5 Simplify each of the following. a) (2q) [2 = 6 marks] b) (x 2 y 7 ) 8 6. Write each of the following as a basic numeral. a) 2. 0 [ + 2 = marks] b) c) [ = marks] XJS Coaching School Page 5

6 7. Write each of the following in exponential form. a) 82 b) c) [ = marks] 8. Of 0 people surveyed, 2 said they were concerned by the shortage of tradesmen; while 8 said they were not concerned. a) What percentage of people was concerned? b) What ratio of the unconcerned students to those who are concerned? 9. a) What is 90% of 2 as a decimal? [ + = 2 marks] b) Jessica got 7 out of 0 for her math s test. What is her mark as a percentage? [ + = 2 marks] 0. a) During a sale, Reebok runners sell for 0% off the marked price. pair of runners is marked at $25. By how much does a pair of runners reduced? b) What is the discount price of the Reebok runners? [ + = 2 marks] XJS Coaching School Page 6

7 . a) Susan borrowed $500 from the bank at 7.5% interest per annum for years. What is the amount of interest charged for years on $500 if simple interest is involved? b) What is the total amount that Susan will need to repay the bank at the end of years? c) If compound interest was involved, what will be the total amount Susan needs to repay the bank at the end of years? 2. Enrico found that percentage? 25 [ = 6 marks] people in his class enjoy eating Mexican food. What is this as a. [2 marks] a) The opposite sides of a trapezium are 9 cm and 60 mm and the left slant side is 7 cm. Find the height of the trapezium. b) Find the length of the right slanting side in cms. [2 + = 5 marks] XJS Coaching School Page 7

8 . Shukla and Leo are walking to school. Shukla decides to take a short cut and walks diagonally through the shops while Leo walks along the path. a) Find out how far Shukla walked. b) Find out how far Leo walked c) What is the difference between the 2 paths? [ = 5 marks] 5. a) If the total surface area of a cube is 600 cm 2, find the length of an edge. b) closed cylinder has a radius of 2 cm and a height of cm. Find the surface area of the cylinder. [2 + 2 = marks] 6. a) The figure below represents a triangular prism. The area of each triangular face is approximately 7 cm 2. The total surface area is: b) The total surface area of the box shown in the figure below is: [2 + 2 = marks] XJS Coaching School Page 8

9 7. a) Find the surface area of a sphere of radius cm. b) Now find the volume of the sphere in a). [2 + 2 = marks] 8. a) Find the volume of a cylinder whose radius and height are both cm. b) Find the volume of the box shown in the figure below. [2 + 2 = marks] 9. cargo container 2.9 m high,.6m long and 2.m wide is to be packed with boxes of fruit. Each box is 55 cm long, 28cm wide and 0 cm high. How many boxes will the container hold? (Hint: You need to change the units for the container to cm.) XJS Coaching School Page 9 [ marks]

10 Year 7 Term 2 Exam Name : SOLUTION (Teacher s copy) Class : Day : Saturday / Sunday SECTION SECTION B TOTL / 2 marks / 67 marks / 88 marks %

11 Section : Multiple Choice Questions. Please circle the correct answer for each of the question. Each question is worth mark. Total marks: 2 What is x in expanded notation or form? x B. x x x C. x x x D. x + x + x E. x x x B 6 What is as a basic numeral? B 27.6 C 276 D 2760 E D 2 What is 2 as a basic numeral? 6 B 8 C 6 D 2 E 2. The answer to n n 2 is: n 5 B n 6 C n D n 2 E n 2 What is 2z 0? 2z B 2z C 2 D 2 E 5 What is 50 written in scientific notation? B C D E C C 7 Which of the following fractions will convert to a recurring decimal? ½ B ¾ C. 9 D. E Which of the following is an irrational number.. B. C D. ¾ E. 5 9 closed box has a square base of 6 cm 2 and a height of cm. The total surface area is: 72 cm 2 B 96 cm 2 C 2 cm 2 D 8 cm 2 E 68 cm 2 C E E XJS Coaching School Page 2

12 0 The perimeter of the figure below is: B C D E 0 mm 6 cm 6 mm 58 cm 58 mm large field has a length of 0.2 kilometres. Its length in metres is: m B.2 m C 20 m D m E m 2 The volume of a cylinder whose radius and height are both cm is: π cm B 2π cm C π cm D π cm E None of the above E C 5 t a school meeting, 60.9% of students at the local College voted for more healthy food in their canteen. What is this as a decimal? B C D 6.09 E ccording to the school record books, 7 out of 2 students have more than 2 siblings. What is this as a percentage? 55% B 58.% C 6% D 72% E 75% 7 Hassim finds out that 20% of a family watches television every night. s a fraction this is: B 2 B D What is 50.5 litres equivalent to? 505 cm B 5050 cm C cm D cm E cm D C D E 5 6 What is 5% of 60? 27 B 0 C 2 D 5 E 55 XJS Coaching School Page

13 8 The amount after years of $000 at 6% simple interest is: $56 B $50 C $60 D $50 E None of the above. D 20 Mary s annual salary is $ Her weekly salary (to 2 decimal points) is:. $70.77 B. $76.67 C. $ D E. None of the above. 9 20% of a cake costs $20. The cost of the full cake is:. $50 B. $80 C. $00 D. $20 E. None of the above. C 2 John bought a car for $0000 and sold it two years later for $ His percentage loss is:. 0% B..% C. 50% D. 20% E 0% B Section B: Short answer Questions. Please show all working out. Total mark: 67 marks. Write each of the following in expanded or factor form: a) 5x y 5 x x x x y y y b) 29a 2 b c 29 a a b b b b c c c 2. Write each of the following in index form. a) 6 x x x 2 y y = 6 2 x x x y y =2 x y 2 [2 marks] b) 9 p p p p 2 r q q = 9 2 p p p p r q q = 5p rq 2. Simplify each of the following. a) t 2 t = t 2+ = t 6 [2 marks] b) x y 5 x 2 y 6 = x y 5 x 2 y 6 = 2x +2 y 5+6 =2x 5 y [2 2 = marks] XJS Coaching School Page

14 . Simplify each of the following. 00b 2b 5 00b 2b 50b a) 2 2 b) 9 6 a) 2 2 b) b 5 2 c) c) 2 20x y 2z 25x y 2 20x y 2z 25x y 0x y x yz Simplify each of the following. a) (2q) z [2 = 6 marks] = 2 q =6q b) (x 2 y 7 ) 8 = x 2 8 = x 6 y Write each of the following as a basic numeral. a) 2. 0 [ + 2 = marks] 200 b) c) [ = marks] XJS Coaching School Page 5

15 7. Write each of the following in exponential form. a) 82 (8 0 ) + (2 0 0 ). b) (9 0 ) + (2 0 ) + (8 0 2 ) + (7 0 ) + (6 0 0 ). c) ( 0 7 ) + ( 0 6 ) + (8 0 5 ) + (7 0 ) + (6 0 ) + (0 0 2 ) + (0 0 ) + (0 0 0 ) [ = marks] 8. Of 0 people surveyed, 2 said they were concerned by the shortage of tradesmen; while 8 said they were not concerned. a) What percentage of people was concerned? ns: (2/0 00) %= 86.5% b) What ratio of the unconcerned students to those who are concerned? ns: 8:2 = 9:56 9. a) What is 90% of 2 as a decimal? ns: =.8 [ + = 2 marks] b) Jessica got 7 out of 0 for her math s test. What is her mark as a percentage? ns: (7/0 00) % = 92.5% [ + = 2 marks] 0. a) During a sale, Reebok runners sell for 0% off the marked price. pair of runners is marked at $25. By how much does a pair of runners reduced? ns: = $2.50 b) What is the discount price of the Reebok runners? ns: $ = $2.50 [ + = 2 marks] XJS Coaching School Page 6

16 . a) Susan borrowed $500 from the bank at 7.5% interest per annum for years. What is the amount of interest charged for years on $500 if simple interest is involved? ns: = $2.50 b) What is the total amount that Susan will need to repay the bank at the end of years? ns: Total amt = = $ c) If compound interest was involved, what will be the total amount Susan needs to repay the bank at the end of years? ns: Total amount = 500(.075) = $ Enrico found that percentage? 25 [ = 6 marks] people in his class enjoy eating Mexican food. What is this as a ns: / 25 x 00 = 52%. [2 marks] a) The opposite sides of a trapezium are 9 cm and 60 mm and the left slant side is 7 cm. Find the height of the trapezium. ns: Height = = cm b) Find the length of the right slanting side in cms. The protruding side = 6 9 = 7 ns: Height of slant = = cm [2 + = 5 marks] XJS Coaching School Page 7

17 . Shukla and Leo are walking to school. Shukla decides to take a short cut and walks diagonally through the shops while Leo walks along the path. a) Find out how far Shukla walked. ns: Distance = =. km b) Find out how far Leo walked ns:distance = = 5.7 km c) What is the difference between the 2 paths? ns: Difference: 5.7. =.57 km [ = 5 marks] 5. a) If the total surface area of a cube is 600 cm 2, find the length of an edge. ns: S. of one face = 600/6 = 00. Length of side is 00 = 0 cm b) closed cylinder has a radius of 2 cm and a height of cm. Find the surface area of the cylinder. ns: T.S. = 2πr(r + h) = 2π(2)(2+) =7.7 cm 2. [2 + 2 = marks] 6. a) The figure below represents a triangular prism. The area of each triangular face is approximately 7 cm 2. The total surface area is: ns: 2(7) + ( 0 ) = cm 2. b) The total surface area of the box shown in the figure below is: ns: 2[(2 5) + (6 2) + (6 5)] = 0 sq cm [2 + 2 = marks] XJS Coaching School Page 8

18 7. a) Find the surface area of a sphere of radius cm. ns:πr 2 = π() 2 =. cm 2. b) Now find the volume of the sphere in a). ns: πr = π() =. cm [2 + 2 = marks] 8. a) Find the volume of a cylinder whose radius and height are both cm. ns: Vol: πr 2 h = π() 2 () = 8.82 cm. b) Find the volume of the box shown in the figure below. ns: Vol: 2 = 2 cm. [2+2 = marks] 9. cargo container 2.9 m high,.6m long and 2.m wide is to be packed with boxes of fruit. Each box is 55 cm long, 28cm wide and 0 cm high. How many boxes will the container hold? (Hint: You need to change the units for the container to cm.) ns: Length of container = 60 cm. No. of box length = 60/55= 6 Width of container = 20 cm. No. of box width = 20/28 = 7 Height of container = 290 cm. No. of box height = 290/0 = 9 No of boxes the container can hold is = 78 (Other answers are possible if the length, width and height can be manipulated) 60/0 = 2 20/28 = 7 290/55 = 5 No. of boxes = = 20 It s possible student use total container volume divided by volume of a box = = 7.55 = 7 boxes It should always be rounded down, NOT UP, like = and NOT 7 [ marks] They should only be given 2 marks. XJS Coaching School Page 9