NAME: Grade 8 Mathematics Sample Examination Section B. Selected Response. Constructed Response

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1 NAME: Grade 8 Mathematics Sample Examination 2010 Section B Calculator Permitted Selected Response Constructed Response 30 Marks 30 marks You will need a pencil/eraser for this section. You are permitted to use a calculator. You are permitted to use any math manipulatives that your teacher has used with you this year. Questions (multiple choice): These are worth 1 mark each. Even though you have to choose an answer, you may have to work things out on scrap paper. You have been given a computer scorable bubble sheet. You must be very careful of the way you handle this sheet. It will be scored by a computer and must not be bent, torn, or have any stray marks on it. You are to shade (using a pencil only) the appropriate bubble (having the same number as the question) on the bubble sheet. Do not shade more than one bubble or the question is scored as incorrect. Erase carefully with a good quality eraser if you need to change an answer. Questions 5-16 (constructed response): Answers are to be done in the spaces provided. Students are reminded to show all steps/calculations since credit may be given for incomplete or partially correct solutions. Numerical answers without workings/explanation will not merit full credit. Grade 8 Math Sample Exam June 2010 Page 1

2 ANSWER SHEET Grade 8 Mathematics Western School District 2010 Name: Section B: Calculator Teacher use only Selected Response: /30 Marks Constructed Response: /30 Marks Total: /60 Marks Section A Section B Exam Total Percentage /20 /60 /80 /100 Grade 8 Math Sample Exam June 2010 Page 2

3 Grade 8 Mathematics Formulae Area Surface Area Square Rectangle Triangle Circle Cylinder 2 A= s A = l w or A= b h A = 1 bh or A= bh A= πr SA= 2πr 2 + 2πrh Volume V Area of Base Height Pi π Use π = Grade 8 Math Sample Exam June 2010 Page 3

4 Section B: Selected Response [30[ Marks] 11. What is the area of the shaded square, in cm 2? A. 3 B cm 2 C. 9 D cm What is X, in cm? A. 8.0 X B C D cm 24 cm 13. What is 36090? A. 4 B C D Calculate: 4+6[4+ +1] A. 8 B. 5 C. +7 D. +8 Grade 8 Math Sample Exam June 2010 Page 4

5 15. The table shows the daily low temperatures for a five day period in a major city. What is the mean daily low, in o C, for the week? A. 25 B. 7 C. 5 D. 3 Mon. Tue. Wed. Thur. Fri. 5 C 7 C 3 C 6 C 4 C 16. Which multiplication statement does the diagram represent? A. 2 3 B. 2 C. 3 D A leaky tank contains 36 litres of gas. If 1 litres of gas leaked out every minute, how many minutes will it take for the tank to empty? A. 27 B. 34 C. 37 D A cube has a side length of 4 cm. What is the surface area of the cube, in cm 2? A. 16 B. 24 C. 64 D cm Grade 8 Math Sample Exam June 2010 Page 5

6 19. Which is the net for a right rectangular pyramid? A. B. C. D. 20. Which faces form this triangular prism? A. Two different triangles and three different rectangles B. Two different triangles and three congruent rectangles C. Two congruent triangles and three different rectangles D. Two congruent triangles and three congruent rectangles 21. The net for a cylinder is shown. If the total surface area is 471 cm 2, what is the width W, in cm? A B cm 2 C D L = 31.4 cm W =? Grade 8 Math Sample Exam June 2010 Page 6

7 22. What is the volume of this cylinder to the nearest cubic metre? A m B. 301 C m D The length of a right rectangular prism is doubled and the width is tripled. By what factor does this increase the volume of the original prism? A. 2 B. 3 C. 5 D What is 250% as a fraction in lowest terms? A. B. C. D. 25. The population of Newfoundland is people. If 0.2% of these people speak Chinese at home, about how many people speak Chinese at home? A. 101 B C D A printing press prints 120 sheets in 3 minutes. What is the unit rate of printing? A sheets / min B. 40 sheets / min C. 120 sheets / min D. 360 sheets / min Grade 8 Math Sample Exam June 2010 Page 7

8 27. When the price of a shirt is reduced by 65% the sale price is $5.95. What is the original price? A. $3.87 B. $8.69 C. $9.62 D. $ The ratio of boys to girls in a drama club is 2:3. If the club has 60 people, how many girls are there? A. 24 B. 36 C. 40 D Which ratio is equivalent to 3:2:1? A. 1:2:3 B. 3:6:9 C. 4:2:3 D. 9:6:3 30. Tom works in an orchard picking apples and can pick 48 baskets in 1 hour. At this rate, how many baskets can he pick in 20 minutes? A. 8 B. 12 C. 16 D Solve for p: 8 A. 32 B. 2 C. 2 D. 32 Grade 8 Math Sample Exam June 2010 Page 8

9 32. Which ordered pair shows the time it takes the temperature to reach 10? y A. 4, B. 4, C. +4,10 D. +4,+10 Temp ( C) x Solve for x: 2x +4 4 A. 6 B. 2 C. 0 D Time (hours) 34. A basketball team held a bake sale. They charged a $2.00 admission fee and sold $ of baked goods. If the total profit was $352.00, how many people attended? A. 113 B. 239 C. 452 D Julia has 10 loonies, 4 toonies and 6 quarters in her purse. She removes a coin from her purse without looking, notes the value, then returns the coin to her purse. The process is repeated. What is the probability of selecting a toonie, then a loonie? A. B. C. D. Grade 8 Math Sample Exam June 2010 Page 9

10 36. A bag contains coloured marbles. There is a chance that the marble selected will be red, a chance of green and chance of blue. A marble is selected and returned to the bag. The process is repeated. What is the probability of selecting a red, green and blue marble? A. B. C. D. 37. Which type of graph is best used to display percentages? A. Bar graph B. Circle graph C. Line graph D. Pictograph 38. Which is the front view of the object after it has been rotated 90 o counter clockwise about the horizontal axis shown? A. Axis of Rotation B. Front C. D. Grade 8 Math Sample Exam June 2010 Page 10

11 39. Which is the left side view of the object after it has been rotated 180 o horizontally about the vertical axis shown? Axis of Rotation A. B. Front C. D. 40. What transformation forms this tessellation? A. Dilatation B. Reflection C. Rotation D. Translation Grade 8 Math Sample Exam June 2010 Page 11

12 Section B: Constructed Response [30 [ Marks] Write your answers in the spaces provided, and show all workings to achieve full marks. 5. Andrew says the triangle shown is a right triangle. Lois says that it is not. Who is correct? Justify your answer using mathematics. [3 Marks] 5 cm 9 cm 7 cm 6. In the diagram, the area of square ABCD is 36 cm 2 and side is 8cm. What is the length of? [3 Marks] A B E 8 cm D C 7. Simplify the following. Show all workings. [3 Marks] 2 Grade 8 Math Sample Exam June 2010 Page 12

13 8. For the triangular prism shown: 5 cm 4 cm 8 cm A. Sketch the net. [1 Mark] 3 cm B. Calculate the surface area. [2 Marks] 9. Raisins are sold in two different boxes. Which one is the better buy? Explain. [3 Marks] Grade 8 Math Sample Exam June 2010 Page 13

14 10. A giraffe can travel 200 metres in 25 seconds. An elephant can travel 300 metres in 35 seconds. Which animal is faster? Justify your answer. [2 Marks] 11. A chess club had 12 members in its first year. The second year the membership was 150% of the first year. If the club had 11 boys the second year, how many girls did it have? [2 Marks] 12. Given the equation: y 2x + 3 A. Complete the table. [1 Mark] B. Create a graph using the data in the table of values. [1 Mark] y x y x Solve for x: 3x 4 8 [2 Marks] Grade 8 Math Sample Exam June 2010 Page 14

15 14. A group of grade 8 students were surveyed and asked what their favourite soft drink was. The results are graphed below. Favourite Soft Drink 7-up 10% Orange 20% Sprite 15% Pepsi 30% Coke 25% A. How is the graph misleading? [1 Mark] B. Why would the creator of this graph choose to portray the data this way? [1 Mark] 15. Sketch and label the front, top, left side and right side views of the object. [2 Marks] Front Grade 8 Math Sample Exam June 2010 Page 15

16 16. The shape shown will not tessellate as it is drawn. Without making a square, add to this shape so that it will tessellate. Draw a picture of the new shape and sketch the tessellation on the grid. [3 Marks] Grade 8 Math Sample Exam June 2010 Page 16