Grade 8 Final Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Determine the value of x if 9:7 = x:42.
a. / 7 / b. / 21 / c. / 27 / d. / 54Short Answer
Write your answer in the space provided.
2. Explain how this graph could be misleading.
Julie took a survey to see which topping was the most popular for pizza.
3. Create a slightly distorted graph to show this data. Justify your choice of graph and why you distorted it.
4. Determine which graph would not be useful for Julie. Justify your choice.
5. Determine a way in which you could distort a graph to make it appear that more people chose mushrooms.
6. How might this graph mislead people?
7. What might cause the following graph to be misinterpreted?
8. Explain why the graph shown would not be valuable if you wanted to know the number of students scoring in each mark range.
9. Frank wanted to find out the percent of each type of bike his store should order. He asked the first 42 customers on Saturday morning which bike they preferred. Based on the following data, create a graph for Frank. Justify your choice of graph.
10. Explain how this graph could be revised to make it more informative.
11. Tim is listening to the radio and keeps hearing the same hit song repeated. He decides to track how many times he hears the song each day over the period of one week. He wants to show his data to a friend. Which type of graph would you suggest Tim use, and why?
Write your answer in the space provided.
12. Write each ratio in lowest terms.
a) 8:32 / b) 10:80 / c) 5:125 / d) 18:27a) / b) / c) / d)
13. Determine the value of x for each proportion.
a) 2:13 = 8: x / b) 18:4 = x :2 / c) x :12 = 35:60 / d) 3: x = 36:4814. Determine the unit rate in each situation.
a) Kate earned $20.25 in 3 h selling lemonade.
b) Josh drove 212 km in 4 h.
c) David caught 21 fish in 7 h on the bay.
d) Tia baked 57 muffins in 3 h.
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15. You have a bag with one white ball, six red balls, eight green balls, and three purple balls. In lowest terms, what is the ratio of red balls to the whole bag of balls?
16. A stable has 39 horses available for trail rides. Of these horses, 26 are all brown, 8 are mainly white, and the rest are black. Expressed in lowest terms, what is the ratio of brown horses to the whole herd?
17. A study found that 27% of the fish in a river are trout, 36% are salmon, and 18% are sturgeon. If a large fish trap is set and it captures 216 fish, how many of those fish are likely to be fish types other than the ones mentioned?
18. A change purse contains two loonies, six quarters, seven dimes, four nickels, and five pennies. Compare the loonies, quarters, and nickels by means of a ratio that is expressed in lowest terms.
19. Use the data in the table below to determine which sports teams have equivalent scored by to scored against ratios.
Team / Scored by / Scored AgainstBaseball Team A / 10 / 8
Basketball Team A / 115 / 92
Hockey Team A / 6 / 4
20. Fran checked her cell phone use and found that she had used 75 minutes for music, 150 minutes for phone calls, and 50 minutes for sending and receiving text messages. In lowest terms, what was the ratio of her phone calls time to text messaging time to music time?
21. Brandon was paid $132.50 commission for his work selling $2650 of farm equipment. What was his commission rate?
22. For each item, what size is the better buy?
a) carton of orange juice: 200 mL for $0.75, 350 mL for $1.25, 425 mL for $1.75
b) bag of candy: 120 g for $0.85, 250 g for $1.80, 375 g for $2.75
c) box of tissue paper: 50 sheets for $0.25, 200 sheets for $0.85, 360 sheets for $1.65.
Write your answer in the space provided.
23. The area of a square field is 2500 m2. Explain how you know the dimensions of the field are 50 m by 50 m.
24. Brianna drew a triangle with side lengths of 4 cm, 6 cm, and 8 cm. Find the areas of the squares on the three sides of the triangle. Is this a right triangle? Explain.
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25. Using perfect square numbers, explain how to make a reasonable estimate of to one decimal place..
26. a) Write the following numbers in increasing order.
7, , , 4.7,
b) Draw a number line and mark the approximate position of each value.
27. A square has a diagonal of 5.7 cm. What are the dimensions of the sides? Show your work. Round your answer to the nearest tenth..
28. A rectangle has a base of 6 m and height of 10 m. Sketch the rectangle, and draw the diagonal. How long is the hypotenuse? Round your answer to the nearest tenth of a metre..
29. Quentin is on his way home from soccer practice. He usually walks home 2 km west on Dunsmuir Street and turns onto Douglas Street to walk 3 km north. If he decides to take the short cut shown in the visual, what is his new travel distance? Round your answer to the nearest tenth of a kilometre.
30. Hydro poles are 25 m tall and placed 500 m apart. What is the distance from the base of one pole to the top of the next pole? Round your answer to the nearest metre.
31. Express each fraction as a decimal.
a)
b)
c)
d)
32. Write three fractions that are equivalent to 0.75.
33. Express each fraction as a percent.
a)
b)
c)
d)
34. Is it possible to have two fractions with different denominators and numerators representing the same decimal? Explain your answer using examples.
35. In her first litter, a young cat gave birth to two kittens. Her second litter included six kittens. What percent is the second litter of the first litter?
36. Calculate 155% of each measurement.
a) 200 g
b) 3 m
c) 50 mL
d) 10 cm2
37. Express 148% as a fraction. Express your answer in lowest terms.
38. Fifteen percent of a number is 10.5. What is the number?
39. Solve the following.
a) of 10% of 200 g
b) of 80% of 3000 cm
c) of 150% of 50 mL
d) of 12.5 % of 10 cm2
40. The original price for a pair of jeans was $48.00. On the first day, the price was decreased 15%. On the second day, the price was reduced an additional 20% off the original price. What was the sale price on the second day?
41. Determine each product.
a) 5 ´ 9 / b) –4 ´ 7c) 9 ´ (–8) / d) –3 ´ (–14)
42. Evaluate each expression.
a) 4 ´ 5 ´ (–5) / b) –3 ´ (–6) ´ 4c) 7 ´ (–4) ´ (–2) / d) –2 ´ (–11) ´ (–3).
43. Predict whether the product will be negative or positive, without evaluating. Explain how you know.
a) -5 ´ (-1) ´ (-2) ´ 7
b) 9 ´ (-8) ´ 9 ´ (-8)
c) –10 ´ (–11) ´ (–12) ´ 13
d) -2 ´ 3 ´ (-9) ´ (-4) ´ (-7).
44. Determine each quotient.
a) 12 ÷ 4 ÷ 3 / b) -42 ÷ 7 ÷ 3c) -70 ÷ (-7) ÷ 5 / d) -64 ÷ (-2) ÷ (-8).
45. What is the value of x?
a) / b)c) / d)
46. Evaluate each expression.
a) –10 + (–12) – 9 / b) –6 – 3 ´ 2c) 14 – (–21) ¸ (–7) / d) 11 ´ 6 ¸ (–3).
47. Determine each product.
a) / b)c) ` / d)
48. Use a number line to represent and solve the expression .
Write your answer in the space provided.
49. Draw the front, top, and side views for this 3-D object.
50. Equipment rentals at a ski shop require a one-time fee of $65 plus an additional daily charge of $20. The cost is represented by the linear relation , where c is the total cost and n is the number of days.
a) Complete the table of values for up to five days of rentals.
Number of Days, n / Cost, c ($)1
3
145
5 / 165
b) Graph the ordered pairs.
51. Use a tree diagram to explain why the probability that a family with four children will have either all girls or all boys is .
52. A local restaurant offers the following pizza toppings. Describe a method that can simulate selecting one item from each category at random.
Crust / Meat / Vegetableregular / pepperoni / mushrooms
thin / bacon / green peppers
sausage / onions
black olives
53. Create a tree diagram to show all of the possible outcomes when spinning the spinner and tossing the die.
54. Draw the front, top, and side views for the 3-D object shown below.
55. Draw a net for the 3-D object shown below.
56. Draw the 3-D object described by the three views shown below.
57. Identify and sketch the two 3-D objects that together form this house.
58. Draw the front, side, and top views of this 3-D object.
59. Draw a net for the right triangular prism shown. Label the measurements on the net.
60. Draw the front, top, and side views for this 3-D object.
61. Draw the front, top, and side views for this 3-D object.
62. Draw the 3-D object described by the three views below.
Write your answer in the space provided.
63. Calculate. Express your answer in lowest terms.
a) / c)b) / d)
64. Multiply. Express your answer in lowest terms.
a) 4 = / b) 7 = / c) 2 =65. In lowest terms, create a fraction for each situation.
a) 12 marbles out of a bag of 36
b) 3 markers out of a box of 30
c) 25 sheets of paper used out of a pack of 200
d) 3 slices of pizza out of 12
66. Create a model to answer .
67. Calculate.
a) / b) / c) / d)68. Multiply. Express your answer in lowest terms.
a) / b) / c) / d)69. Calculate. Express your answer in lowest terms.
a) / b) / c) / d)70. Calculate.
a) of $80.00 / b) of $150.00 / c) of $72.00 / d) of $175.00.71. Divide.
a) / b) / c) / d).
72. Calculate.
a) / b) / c) / d).
Write your answer in the space provided.
73. Determine the volume of this right triangular prism.
74. Todd is solving the equation t + 14 = 28. What is wrong with his solution?
75. Mary pours 1000 cm3 of juice into a pitcher shaped like a right triangular prism. If the depth of the juice is 20 cm, what is the area of the triangular base of the pitcher?
76. Calculate the base area of a right triangular prism with a height of 12 cm and a volume of 48 cm3.
77. Determine the volume of this right triangular prism.
78. The volume of a right triangular prism is 1849.2 cm3 and the height is 13.4 cm. Find the length of the triangular base if the height of the base is 12 cm.
79. A right rectangular prism has a volume of 117.81 cm3, a height of 16.5 cm, and a width of 2 cm. Find the length of the prism.
80. A right rectangular prism measures 6.2 cm 4.7 cm 2.3 cm. Find the volume of the prism and express your answer to two decimal places.
81. A right rectangular prism has a volume of 594.5 cm3 and measures 12.5 cm long by 8.2 cm wide. Determine the height of the prism.
82. A right triangular prism has a volume of 594.5 cm3. Its base measures 12.5 cm long by 8.2 cm high. Determine the length of the prism.
83. The volume of a cylinder is 867.5 cm3 and the area of the circular base is 69.4 cm2. What is the diameter of the cylinder, to the closest millimetre?
84. A cylinder has a radius of 1.3 m and a height of 3.4 m. Determine the volume of the cylinder and express your answer to two decimal places.
85. A cylinder has a diameter of 5.8 cm and is 8.4 cm high. Calculate the volume of the cylinder and express your answer to one decimal place.
86. What three consecutive integers have a sum of 324?
87. Steve Nash scored 35 points in one game. If Nash was successful on half as many three-point shots as two-point shots, how many three-point and two-point shots did he score?
88. The cost of a TV repair is $25/h plus a house-call fee of $65.
a) Complete the table of values for up to five hours work.
Number of Hours, n / Total Cost, c ($)b) If a repair takes two hours, what will the total cost be?
89. Use words to describe the equation .
90. a) Follow the pattern to complete the table of values below.
Term, t / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10Value, v / 6 / 12 / 18 / 24
b) Is this a linear relation? Explain how you know.
91. The parent council is making hats for a school fundraiser. The table shows the total cost for buying up to 8 hats from the manufacturer. The council pays $15 to have the hats designed.