Grade 8 Mathematics. Item Sampler (Teacher version)
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1 Grade 8 Mathematics Item Sampler (Teacher version)
2 1. John surveyed students in his school and recorded their preferences about video game consoles. He constructed the circle graph shown below. What percentage of students prefer the XBox 360?. A. 60% B % C % D. 33% Part B for this question could be: If there are 300 students in the school, how many prefer the X-box 360? (Answer: 99 students) Calculator would be permitted. Cognitive Level: 3 Outcome: 8F3
3 2. Which box-and-whisker plot represents the data in the following stem-and-leaf plot? Stem (tens) Leaf (ones) A. B. C. D. No calculator Cognitive Level: 2 Outcome: 8F5
4 3. On a math test, the mean score was 83 for the 25 students. Johnnie made 43 on this test. He was allowed to write a make-up test and scored 93. The teacher replaced his score of 43 with his new score of 93 and re-calculated the mean score. How was the mean affected? A. There was no change to the mean. B. The mean increased to C. The mean increased to 85. D. The mean increased to 88. Calculator would be permitted. Cognitive Level:2 Outcome: 8F7
5 4. Which of the following pairs of triangles are NOT necessarily congruent? A. B. C. D. Cognitive Level: 1 Outcome: 8E1
6 5. ABC has been rotated counter-clockwise 90 about the origin. Which are properties of this transformation? A. - A A' - same orientation - B and B' are the same distance from the rotation centre B. - A A' - different orientation - B and B' are the same distance from the rotation centre C. - A A' D. - same orientation - side AB is parallel to side A'B' - A A' - different orientation - A and A' are the same distance from the mirror line (y axis) Cognitive Level: 2 Outcome: 8E2
7 6. What is the length of side x? A m B m C m D. 4 m Calculator permitted Cognitive Level: 3 Outcome: 8E3
8 7. A regular octagon has how many lines of reflective symmetry? A. 2 B. 4 C. 6 D. 8 Cognitive Level: 1 Outcome: 8E5
9 8. Which of the following is an oblique cone? A. B. C. D. Cognitive Level: 1 Outcome: 8E6
10 9. Look at the top, front, and right views below. Which isometric drawing represents the views above? A. B. C. D. Cognitive Level: 2 Outcome: 8E7
11 10. Terry is building a small shed for her backyard as shown in the diagram below. What is the length of b? A. 2 B. 4 C. 8 D Calculator permitted Cognitive Level: 2 Outcome: 8D9
12 11. What is the capacity of a drinking glass in the shape of a cylinder with a radius of 5 cm and a height of 10 cm given that 1 cm 3 = 1 ml? A. 50 ml B ml C. 100 ml D. 785 ml Calculator permitted Cognitive Level: 2 Outcome: 8D2
13 12. A square piece of paper has an area of 81 cm 2. What is the area of the largest circle that can be drawn on the piece of paper? A cm 2 B cm 2 C cm 2 D cm 2 Calculator permitted Cognitive Level: 2 Outcome: 8D4
14 13. The Johnson family is building a new deck in their backyard. It consists of a rectangular shaped upper level, a triangular shaped middle level, and a semicircle patio on the ground level. What is the total area of the deck? Round your answer to the nearest tenth. d = 3.43 m 6.5 m 10.2 m 2.3 m cm Calculator permitted Cognitive Level: 2 Outcome: 8D6 Answer: 78.1 m 2
15 14. Estimate which containers will hold the same amount of water. 3 cm 9 cm 5 cm A 5 cm 9 cm 25 cm C B A. containers A & B B. C. containers B & C D. containers A & C containers A, B, & C No calculator Cognitive Level: 1 Outcome: 8D7
16 15. Look at the cylinder below. What is the best estimate of the surface area of the cylinder? A. 32 cm 2 B. 64 cm 2 C. 300 cm 2 D. 200 cm 2 No calculator Cognitive Level: 2 Outcome: 8D7
17 16. Peter wants to paint the object below. (The bottom square of the object will not be painted.) If 1 container of paint covers 300 cm 2, how many containers of paint will Peter need to buy? A. 2 cans B. 3 cans C. 6 cans D. 7 cans Calculator permitted Cognitive Level: 2 Outcome: 8D8
18 17. In the following figure, what is the value of y rounded to the nearest hundredth? A. y = 1.00 cm B. y = cm C. y = 6.99 cm D. y = 6.39 cm Calculator permitted Cognitive Level: 2 Outcome: 8D10
19 18. What is an equivalent form of 56 x x 0.8? A. 0 x 0.72 B. 56 x 0.1 C. 56 x 0.72 D. 56 x 1.7 No calculator Cognitive Level: 1 Outcome: 8B1
20 19. On a map, Mary measures the distance between Truro and Halifax to be 5 cm. She knows the actual distance between Truro and Halifax is 100 km. She then measures the distance between Halifax and Yarmouth on her map and finds it to be 18 cm. What is the actual distance between Halifax and Yarmouth? Map not to scale km Calculator permitted Cognitive Level: 2 Outcome: 8B2 Answer: 360 km
21 20. The instructions on a label of powdered drink mix suggest mixing 15 g of powder with 250 ml of water. How much powder should be mixed with 2 L of water? A. 60 g B. 120 g C. 265 g D g Calculator permitted although we would encourage students to solve this without a calculator in a classroom situation. Cognitive Level: 2 Outcome: 8B2
22 21. Joe bought a scooter. The total cost, including 15% tax, is $ What is the cost of the scooter before tax? $ Calculator permitted Cognitive Level: 3 Outcome: 8B3 Answer: $96
23 22. In 2010, the enrolment of Central High School was 1864 students. In 2011, the enrolment was What is the percentage decrease in the enrolment from 2010 to 2011? A. 9.7% B. 9.4% C. 10.7% D. 10.4% Calculator permitted Cognitive Level: 1 Outcome: 8B4
24 23. What product is shown on the following number line? 7 A. 3 B C. 3 7 D No calculator Cognitive Level: 2 Outcome: 8B7
25 Karina had of a large submarine sandwich. She gave Kendell of her portion. What fraction of the large submarine sandwich did Kendell receive? 3 4 A. 6 9 B. 9 C. 20 D No calculator Cognitive Level: 2 Outcome: 8B7
26 3 25. Ethan, Jonas, and Emily bought a pizza. Ethan and Emily would each like to have 8 of the pizza 1 and Jonas would like to have 3. Is this possible? Explain your reasoning. Because of the format of the assessment, we are unable to ask these types of questions. However, we encourage teachers to help students develop this kind of reasoning as it will help them to solve fraction problems on the assessment. No calculator Cognitive Level: 2 Outcome: 8B5 Answer: This is not possible since if you add all their desired portions, it is greater than one.
27 26. Ingrid is hosting a pizza party. She ordered 3 extra large pizzas and asked them to be cut into twelfths. Each person ate 2 pieces. At the end of the evening there was half of a pizza left. How many guests attended the party? A. 36 B. 15 C. 18 D. 72 No calculator. Cognitive Level: 2 Outcome: 8B11
28 27. What is the value of 3 1 1? A. 9 B C. 5 D No calculator Cognitive Level: 2 Outcome: 8B10
29 28. Parker wanted to raise $ for his local foodbank. He asked 15 of his neighbours for money. Four of them each gave $11.50, five of them each gave $9.25, two of them each gave $20.00, and four of them each gave $9.75. How much more money does he need to reach his goal of raising $200.00? A. $ B. $ C. $28.75 D. $29.75 Calculator permitted Cognitive Level: 1 Outcome: 8B13
30 29. Which expression is equivalent to 32 x? A. 6 x B. 5 x C. 6 3x D. 6x No calculator Cognitive Level: 1 Outcome: 8B16
31 30. What is the side length of a square with an area of 64 square units? A. 8 units B. 16 units C. 32 units D. 128 units No calculator Cognitive Level: 1 Outcome: 8A1
32 31. Which of the following statements is true? A. The value of 56 is between 7 and 8. B. 17 is between the value of 100 and 144. C. The value of 111 is between 11 and 12. D. 15 is between the value of 25 and 30. No calculator Cognitive Level: 2 Outcome: 8A3
33 32. What is the value of 6400? A. 800 B. 80 C D. 32 No calculator Cognitive Level: 1 Outcome: 8A4
34 33. What is 10 7 expressed in standard form? A B C D No calculator Cognitive Level: 1 Outcome: 8A5
35 7 34. Which of the following expresses in scientific notation? A. B C D No calculator Cognitive Level: 1 Outcome: 8A6
36 35. Given the following numbers: 3 7 4, 0.72,, 0.73, Which of the following shows them in increasing order (from least to greatest)? A B. 0.72,, 0.73,, , 0.72,,, C D., 0.72,, 0.73, , 0.72, 0.73,, No calculator Cognitive Level: 1 Outcome: 8A7
37 36. If four small squares represent 100%, how many small squares would be required to represent 175%? A. 4 B. 5 C. 6 D. 7 No calculator Cognitive Level: 2 Outcome: 8A8
38 37. Given 5n 2 12, what is the value of n? A. 2 B. 2.8 C. 5 D. 10 Students should be advised that the expression "what is the value of n" is the same as "solve for n". No calculator Cognitive Level: 1 Outcome: 8C6
39 38. The following graph represents the change in volume of a liquid draining from a bottle. Which option below could explain the horizontal part of the graph between points F and G? A. The draining slows down for a short time. B. C. The liquid is finished draining. D. The draining speeds up for a short time. The liquid stops draining for a short time. No calculator Cognitive Level: 2 Outcome: 8C2
40 39. The graph below shows the relationship between time and water depth in a pail as it fills with water. At what rate is the pail being filled? A. 1 cm/min B. 2 cm/min C. 8 cm/3 min D. 1 cm/min 2 No calculator Cognitive Level: 2 Outcome: 8C3
41 40. Colin and Stacie both work during the summer. Their earnings are represented in the graph below. How many hours do Stacie and Colin have to work in order to earn the same amount of money? No calculator This question would be in a multiple choice format on the assessment. Cognitive Level: 3 Outcome: 8C5 Answer: 2 hours
42 41. A painter charges a flat rate of $20.00 plus $15.00 per hour needed to complete a job. If the painter charges $ for a job, how many hours did the job take? Calculator permitted Cognitive Level: 2 Outcome: 8C7 Answer: 30 hours
43 42. A bag of marbles contains 12 black marbles, 4 blue marbles, 1 red marble, and 8 yellow marbles. What is the probabililty of drawing a marble that is neither black nor yellow? A. 80% B. 25% C. 60% D. 20% No calculator Cognitive Level: 3 Outcome: 8G2
44 43. In his last 20 times at bat, Terrance hit 8 home runs. Based on his performance, what is the theoretical probability that he will hit a home run on his next at bat? A. 2 B C. 96 D No calculator Cognitive Level: 3 Outcome: 8G2
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