GRADE EIGHT FINAL EXAM REVIEW
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Chapter 1- Roots
1. Which number is a perfect square?
A) 14 B) 1 C) 22 D) 50
2. What is the area of a square with a side length of 9 m?
A) 3 m2 B) 12 m2 C) 18 m2 D) 81 m2
3. Which point best represents the approximation of √10?
4. What is √169?
A) 12 B) 13 C) 42 D) 85
5. How many perfect square numbers lie between 0 and 50?
A) 6 B) 7 C) 8 D) 9
6. Which list represents the factors of a perfect square number?
A) 1, 2, 4, 8, 16 B) 1, 2, 7, 14 C)1, 2, 3, 4, 6, 12 D)1, 2, 3, 6, 9, 18
7. The area of a square is 144 m2. What is the perimeter of the square, in m?
A) 12 B) 48 C) 72 D) 288
8. What is √64 ?
A) 4 B) 8 C) 16 D) 32
9. Which number is a perfect square?
A) 7 B) 14 C) 28 D) 49
10. Between which pair of whole numbers is √60 located?
A) 6 and 7 B) 7 and 8 C) 29 and 31 D) 49 and 64
11. What is the value of 𝑐, in metres, rounded to one decimal place? A) 14.3
B) 14.4 C) 19.0 D) 20.5
13 m
25 cm2
38 cm 2
6 cm
9 cm
x
11. Which set of numbers could be the side lengths of a right triangle?
Set 1: 6, 24, 25 Set 2: 6, 8, 10 Set 3: 10, 20, 30 Set 4: 15, 15, 15
A) Set 1 B) Set 2 C) Set 3 D) Set 4
12. What is the value of 𝑥, in metres, to one decimal place? A) 2.8
B) 9.0 C) 13.1 D) 14.9
13. Which set of numbers could be the side lengths of a right triangle?
A) 1, 1, 2 B) 8, 15, 17 C) 10, 12, 15 D) 10, 20, 30
14. Which set is a Pythagorean Triple?
A) 3, 3, 6 B) 7, 8, 9 C) 10, 24, 26 D) 20, 30, 40
15. The areas of the squares on the two shorter sides of a triangle are given. What is the area of the shaded square, in cm2?
A) √13 B) √63
C) 13
D) 63
16. What is the value of x, in cm? A) 6.7
B) 10.8 C) 15.0 D) 58.5
Chapter 2 - Integers
1. Which is correct
A. (−21) ÷ (−7) = 3 B. (−21) ÷ (+3) = 7 C. (+21) ÷ (−7) = 3 D. (+21) ÷ (−3) = 7
2. Calculate: (−9) × (+5)
3. Calculate: (−56)
(−7)
A) −9 B) −8 C) 8 D) 9
4. Calculate: (−84) ÷ (−12)
A) −7 B) −0.14 C) 0.14 D) +7
5. Calculate: (+42)
(−6)
A) −8 B) −7 C) 7 D) 8
6. What is the product of (−6) and (+3)?
A) −18 B. −2 C. +2 D. +18
7. Calculate: (−4) × (−8)
A) −32 B) −12 C) 12 D) 32
8. Which multiplication statement represents (−4) + (−4) + (−4)?
A) (−3) × (−4) B. (−3) × (+4) C. (+3) × (−4) D. (+3) × (+4)
9. Thomas owes $15 to each of 3 friends. Which equation represents the total amount Thomas owes?
A) (−15) × (+3) = (−45) B) (−15)3 = −5
C) 15
3 = 5 D) (+15) × (+3) = (+45)
10. Which number sentence best describes this scenario: A group of five friends owe a total of $20. They agree to share the debt equally. What is each person’s share of the debt?
A)
( 20)
( 5)
( 4)
B)( 20)
( 5)
( 4)
C)( 20)
( 4)
( 5)
D)( 20)
( 4)
( 5)
11. At 7:00 am, the temperature in Wabush was −10°𝐶. The temperature rises +3°𝐶 per hour over the next few hours. What is the temperature in degrees Celsius in Wabush at 11:00 am?
12. The table shows the nightly low temperatures, in degrees Celsius, in Makkovik for a week in May.
Monday Tuesday Wednesday Thursday Friday Saturday Sunday ? −4 −13 −5 +6 +6 −5
If the average low temperature for the week was −2°𝐶, then what was the low temperature, in degrees Celsius, on Monday night?
A) −15 B) −14 C) +1 D) +2
13. The water level in a pool dropped 8 cm each hour. How many hours did it take for the water level to drop 48 cm?
A) −40 B) −6 C) +6 D) +40
14. Calculate: (+12)×(−4)
(−10)− (−2)
A) −6 B) −4 C) +4 D) +6
15. At supper time the temperature is 6℃. If the temperature drops 2℃ every hour, what is the temperature, in ℃, 5 hours later?
A) −10 B) −4 C) +4 D) +16
16. In a game, a player earns 3 points for every hit and loses 2 points for every miss. James has 15 hits and 16 misses. If James wants a final score of 31, how many more points does he need?
A) 6 B) 9 C) 13 D) 18
17. Sam has $54 to buy movie tickets. He buys 2 tickets online for $7 each. Tickets at the theatre are $8 each. How many tickets can he buy at the theatre?
A) 4 B) 5 C) 6 D) 7
18. A scientist recorded temperatures in a chamber for two hours. Time(hr) Change in Temp (℃)
1 −5
2 ?
The starting temperature was +1°∁ . The readings are recorded in a table. If the final temperature was +2℃, what was the change in temperature in hour 2?
19. Evaluate: 4+3×(−8)−2
A) −28 B) −10 C) +10 D) +28
20. Evaluate: (−3) + (+5) × (−2)
A. −13 B. −7 C. 4 D. 16
21. Calculate: 6 ÷ (−2 + 4)
A) −3 B) −1 C) 1 D) 3
22. Calculate: [(+6) × (−6)] + (+4) ÷ (−2)
A) −38 B) 16 C) 18 D) 20
23. Evaluate: (−10) × (−5) × (−1)
A) −50 B) −16 C) +16 D) +50
Chapter 3 - Fractions
1. Which represents 45 of 23?
A) B. C. D.
2. Which division statement is modelled on the number line?
3. Which multiplication statement does the diagram represent? A) 1 × 3
B. 3 × 1 C. 3 ×14 D. 4 ×13
4. Which expression is equivalent to 15× 62 ?
A) 62 ÷ 5 B) 62 ÷15 C) 5 ÷ 62 D) 15÷ 62
5. Which expression is equivalent to4 3 ÷ 25?
A) 34×25 B) 34×52 C) 43×25 D) 43×52
6. Calculate: 158 ×56
A) 49 B) 126 C) 1321 D) 1625
7. Calculate: 212÷ 313
A) 23 B) 34 C) 113 D) 813
8. Which equation is correct?
A) 6 ×14= 241 B) 8 ×16= 86 C) 34÷ 8 =323 D) 34÷ 6 =243
9. What is 214× 312 ?
A) 149 B. 83 C. 498 D. 638
10. Calculate: 56÷14
A) 5
24 B.
3
5 C. 2 D. 3
1 3
11. There is 10 12 kg of dog food. If each dog eats 34 kg of dog food, how many dogs can be fed?
12. Gregg is awake for 2
3 of the day. He spends 5
8 of that time at home. How many hours
of the day is Gregg awake at home? (1 day = 24 hours)
A) 10 B) 12 C) 15 D) 16
13. A water bottle holds 35 L. How many bottles can be filled using 9 L of water?
A) 3 B. 5 C. 12 D. 15
14. Merlin exercises for 2 3
1 hours each day of the week except Sunday. How many hours
does he exercise in one week?
A) 623 B) 8 C) 10 D) 1123
15. It takes 513 scoops of flour to make one cake. How many cakes do 32 scoops of flour make?
A) 3 B) 5 C) 6 D) 16
16. A ditch holds 12 tonnes of dirt. A pickup can carry 11
2 tonnes of dirt. How many pickup
loads would fill 7 ditches?
A) 28 B) 48 C) 56 D) 84
17. A recipe for 1 batch of cookies requires1
3 of a cup of cooking oil. How many cups of
cooking oil would be required for 412 batches of cookies?
A) 112 B) 416 C) 456 D) 1312
18. In which step was an error made?
(2 3÷
1 2) ÷ (
1 3× 1 4) (2 3× 2 1) ÷ (
1 3×
1 4) (4
3) ÷ ( 1 7) (4
3) × ( 7 1) 28
3
A) Step 1
B) Step 2
C) Step 3
Chapter 4 – Prisms
1. What object does this net form?
A) cube B. right cylinder C. right rectangular prism D. right triangular prism
2. Which is the net of this object?
3. Which is the correct net for a cylinder?
A) B) C) D)
4. Which net is for this triangular prism?
A)
B)
5 cm
4 cm 7 cm
4 cm
7 cm
5 cm
5 cm
4 cm
7 cm
5 cm 4 cm
7 cm
4 cm
5 cm
5. Which is the correct net for this solid?
A) B)
C) D)
6. Which solid can be constructed from this net?
A) B)
C) D)
7. How many faces does this right prism have?
15 cm
5 cm
10 cm
x 8. Which solid can be constructed from this net?
A) B) C) D)_
A)
9. What is the surface area, in m2, of the prism?
A) 40 B) 77 C) 154 D) 308
10. What is the surface area of the rectangular prism shown, in cm2?
A) 125 B. 275 C. 550 D. 750
11. What is the surface area, in cm2, of this rectangular prism?
A) 352 B) 512 C) 704 D) 960
12. The total surface area of a cube is 150 cm2. What is the length of each side, x, in cm?
42 cm 2 42 cm 2 42 cm 2 13. What is the total surface area, in m2, of this cube?
A) 4 B) 16 C) 24 D) 64
14. The edge of a cube is 8 cm in length. What is the surface area, in cm2, of the cube?
A) 48 B) 64 C) 384 D) 512
15. The surface area of a cube is 600 cm2. If each edge is doubled, what is the new surface area, in cm2?
A) 200 B) 300 C) 1200 D) 2400
16. If the total surface area of the net shown is 156 cm2, what is the area of each triangle, in
cm2?
A) 15 B. 30 C. 57 D. 126
17. What is the surface area, in cm2, of this triangular prism?
18. The inside of an empty swimming pool needs to be painted. If one can of paint covers 12 m2, how many cans of paint will be needed?
A) 9 B) 13
C) 26 D) 42
19. What is the surface area of the cylinder?
A) 1.74 cm2
B. 56.52 cm2
C. 58.26 cm2
D. 86.52 cm2
20. What is the volume, in cm3, of this prism?
A) 360 B) 720 C) 1296 D) 1440
21. The volume of this prism is 195 cm3. What is the area, in cm2, of the base?
A) 15 B) 65 C) 182 D) 2535
22. What is the height of a right triangular prism with a volume of 112 cm3 and a triangular
base with an area of 7 cm2?
A) 4 cm B. 16 cm C. 105 cm D. 784 cm
23. What are the possible dimensions of a right rectangular prism with a volume of 48 cm3?
A) 2 cm by 3 cm by 8 cm B. 4 cm by 4 cm by 4 cm C. 15 cm by 16 cm by 17 cm D. 16 cm by 16 cm by 16 cm
4 cm
5 cm 8 cm
24. What is the volume, in cm3, of this rectangular prism?
A) 840 B) 1192 C) 1680 D) 3360
25. A cylinder has a diameter of 10 cm and a height of 20 cm. What is the volume of the cylinder, in cm3?
A) 200 B) 785 C) 1570 D) 6280
26. What is the volume of this cylinder (rounded to the nearest whole number)?
A) 48 cm3
B. 151 cm3
C. 226 cm3
D. 904 cm3
27. What is the volume, in cm3, of this triangular prism?
A) 66 B) 77 C) 132 D) 166
28. What is the volume of the triangular prism shown, in cm3?
A) 17 B. 28 C. 80 D. 160
4 cm
14 cm
Chapter 5 - Percent, Ratio and Rate
1. Which is equivalent to 0.17%?
A) 0.0017 B. 0.017 C. 0.17 D. 1.7
2. What is 35 00035 as a percent?
A) 0.0001% B. 0.001% C. 0.01% D. 0.1%
3. Which percentage is equivalent to 0.004?
A) 0.04% B) 0.4% C) 4% D) 40%
4. Which percentage is equivalent to 8 1000?
A) 0.8 B) 1.8 C) 8 D) 80
5. What percent is represented by the diagram?
A) 1.62% B. 2.16% C. 16.2% D. 20.16%
6. The cost of a book is $30. The selling price is 120% of the cost. What is the selling price?
A) $24.00 B. $31.20 C. $33.60 D. $36.00
7. A comic book sells for $3.25 on the internet. This is 260% of the original price. What was the original price?
A) $0.85 B. $1.25 C. $8.45 D. $12.45
8. There are 16 people from Des’s street in the local hockey league. They make up 8% of the league. How many people are in the league?
9. During a 20% off sale, a set of headphones cost $32.00 without tax. What was the original cost?
A) $32.20 B. $38.40 C.$40.00 D. $52.00
10. The Golf Store had a sale offering 20% off everything. The sale price of a golf club is $240.00. What was the original cost of the club?
A) $ 48.00 B. $ 288.00 C. $ 300.00 D. $1200.00
11. Last year an eReader sold for $150. Today it sells for $105. What’s the percent decrease?
A) 30% B) 43% C) 70% D) 143%
12. Last year Central Junior High won 15 volleyball matches. This year they won 22 matches. What is the approximate percent change in matches won?
A) −47% B) −32% C) +32% D) +47%
13. What is the ratio of to ?
A) 4:5 B. 4:9 C. 7:10 D. 8:25
14. Find the value of a. 8:5 = 56: a
A) 8 B. 15 C. 35 D. 104
15. 4 out of every 5 students have a cell phone. If there are 250 students at Eastern Intermediate, how many have cell phones?
A) 150 B. 200 C. 300 D. 313
16. A paint store mixes yellow and blue paint in the ratio 2:3 to make green paint. If they used 12 litres of yellow paint, how many litres of blue paint were used?
A) 8 B) 18 C) 24 D) 60
17. There are 45 students going on a school trip. The ratio of boys to girls is 4:5. How many of the students are girls?
A) 9 B) 20 C) 25 D) 36
18. What is the value of 𝑝? 4: 7 = 𝑝: 56
19. Eggs come in cartons of 12. Each carton of eggs has a mass of 744 g. What is the mass, in grams, of 50 eggs?
A) 62 B. 179 C. 3100 D. 446 400
20. Which ratio is equivalent to 5:8?
A) 6:9 B. 8:5 C. 10:16 D. 16:10
21. The ratio of adults to children at a concert is 5:3. If the total number of people at the concert is 240, how many adults are at the concert?
A) 90 B. 144 C. 150 D. 400
22. Nicole earned $116 in 8 hrs. At this rate, how much will she earn in 14 hours?
A) $145 B) $174 C) $203 D) $232
23. In his Marathon of Hope, Terry Fox ran 5373 km in 143 days. At this rate, approximately how many kilometres did he run in 10 days?
A) 14.3 B) 37.6 C) 375.7 D) 537.3
24. Jumping Jelly Beans Candy Company can produce 100 tins of jelly beans in 20 minutes. How many tins of jelly beans can they produce in 2 hours? (1 hour = 60 minutes)
A) 10 B) 24 C) 300 D) 600
25. A truck driver travels 540 km in 6 hours. How many kilometres will he travel in 1 hour?
Chapter 6 – Equations
1. Solve for x:
A) 𝑥 = 6 B. 𝑥 = 9 C.𝑥 = 12 D. 𝑥 = 24
2. Kim made a mistake in solving the equation -3 ( x – 1 )= - 15. Find her mistake? Step 1: −3𝑥 − 3 = −15
Step 2: −3𝑥 − 3 + 3 = −15 + 3 Step 3: −3𝑥
−3 = −12
−3
Step 4: 𝑥 = 4
A) Step 1 B. Step 2 C. Step 3 D. Step 4
3. Solve: −4𝑥 = −12
A) 𝑥 = −48 B) 𝑥 = −3 C) 𝑥 = 3 D) 𝑥 = 48
4. Solve for 𝑤: 7𝑤 = −35
A) −28 B) −5 C) +5 D) +28
5. Solve: −8𝑥 = 72
A) 𝑥 = −9 B) 𝑥 = −19 C) 𝑥 =19 D) 𝑥 = 9
6. Solve: −5𝑎 + 7 = −53
A) 𝑎 = −465 B) 𝑎 = 9 C) 𝑎 = 12 D) 𝑎 =465
7. Solve for 𝑥: −15 = 3𝑥 + 6
A) −7 B) −3 C) 3 D) 7
8. Solve: 16 3a11
A) a 9 B) 5
3
a C) 5
3
a D) a9
9. Solve: −6𝑦 = −8
10. What is the first step in solving the equation 𝑥3− 1 = 2 ?
A) 𝑥
3÷ 3 − 1 = 2 ÷ 3 B) 𝑥
3− 1 − 1 = 2 − 1
C) 𝑥3− 1 + 1 = 2 + 1 D) 𝑥3× 3 − 1 = 2 × 3
11. Solve for x: x
3 + 2 = −4
A) −18 B. −14 C. −6 D. −2
12. Solve: 6 +𝑛2 = −10
A) 𝑛 = −32 B. 𝑛 = −16 C. 𝑛 = −8 D. 𝑛 = 32
13. Solve: 𝑚7 − 4 = −7
A) 𝑚 = −77 B) 𝑚 = −21 C) 𝑚 = 21 D) 𝑚 = 77
14. Which equation shows the correct usage of the distributive property for 3(x +2) = 9? A) 3x + 2 = 9 B. 3x + 2 = 27 C. 3x + 6 = 9 D. 3x + 6 = 27
15. Solve for 𝑥: −2(𝑥 + 6) = −8
A) −14 B) −2 C) +7 D) +10
16. A grade 8 class collected $224 for a pizza party. They spent $170 for pizza and used the rest of the money to buy 27 loot bags. Which equation represents this problem?
A) 27𝑥 + 170 = 224 B) 27𝑥 = 224 + 170 C) 170𝑥 + 27 = 224 D) 170𝑥 = 224 + 27
17. Jacob is renting a hot air balloon. The rental company charges a fee of $15.00 plus $5.00 per person. If he has $65.00, how many people can go on the ride?
A) 3 B. 4 C. 10 D. 13
18. Which equation can be used to solve this problem? “Zoe works at a marina where boat servicing costs $75.50 plus $6.50 for each litre of oil. Zoe serviced Mr. Smith’s boat and charged him $147.00. How many litres of oil did she use for his boat?”
A) 75.50 = 6.50x +147 B) 75.50 = 147x + 6.50 C) 147 = 75.50x + 6.50 D) 147 = 6.50 x +75.50
19. The equation of a linear relation is𝑦 = −3𝑥 − 12. What is the value of the missing coordinate in the ordered pair ( ? , −24)?
x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 20. What relationship is indicated in the graph?
A) As 𝑥 increases by 1, 𝑦 decreases by 6 B) As 𝑥 increases by 1, 𝑦 decreases by 2 C) As 𝑥 increases by 1, 𝑦 increases by 2 D) As 𝑥 increases by 1, 𝑦 increases by 4
21. What is the relationship between the variables in the table?
x -2 -1 0 1 2
y 12 7 2 -3 -8
A) As the x-value increases by 1, the y-value increases by 5. B. As the x-value increases by 1, the y-value decreases by 5. C. As the x-value increases by 5, the y-value increases by 1. D. As the x-value increases by 5, the y-value decreases by 1.
22. The graph of a linear relation is shown. Which ordered pair is a point on the graph?
A) (−2, −4) B. (−2, 4) C. (2, −4) D. (2, 4)
23. What is the missing number in the order pair?
Chapter 7: Data Analysis and Probability
1. What type of graph would you use to display DVD sales over a number of years? A) bar B) circle C) line D) pictograph
2. What graph would you use to display the percentage of favorite hockey teams for Grade 8 ? A) bar B) circle C) line D) pictograph
3. Which characteristic best describes a line graph?
A) Used to display percentages B) Compares data across different categories C) Displays change in data over time D) Uses pictures to represent data
4. The graph displays June 2009 Grade 8 Mathematics exams results. What about the graph gives a false impression?
A) distance between bars B) order of names C) scale used D) width of bars
5. What is the probability of spinning a B and rolling a number less than 5?
A) 16 B. 29 C. 1112 D. 245
6. What is the probability of rolling a 2 and spinning an odd number?
A) 151 B) 101 C) 185 D) 114
7. A regular die is rolled and a coin is tossed. What is the probability of rolling an even number and getting tails?
A) 1
1 2 8 3 4 5 6 7 8. The spinner is spun and the coin is tossed. What is the probability of spinning a
number less than 4 and tossing heads?
A) 14 B. 163 C. 25 D. 78
9. Sherry can order one food item and one drink item from the menu. What is the probability of her ordering a sub and a milk?
Food Pizza, Sub, Taco, Burger, Salad
Drink Chocolate Milk, White Milk, Juice, Water
A) 5% B. 10% C. 50% D. 75%
10. Jodie puts these lettered cards in a paper bag. She selects a card without looking, replaces it, and selects another card without looking. What is the probability that she will choose A and then M?
A) 1
10 B) 1 5 C) 7 20 D) 7 10
11. A new sports store is giving away backpacks at their grand opening. There are 3 sizes (small, medium, large) and 4 colours (yellow, red, blue and green). What is the probability of winning a large, blue backpack?
A) 121 B) 17 C) 27 D) 127
12. A bag contains 4 red, 3 green and 2 blue marbles. Kim selects a marble without looking then replaces it in the bag. What is the probability she will select a red and then a blue marble?
A) 818 B. 186 C. 69 D. 188
13. This spinner is spun three times. What is the probability of spinning black, then white, and then white again?
A) 1
54 B) 1 9 C) 4 6 D) 5 6
14. A spinner has 12 equal sectors: 4 red, 3 blue, and 5 yellow. The pointer on the spinner is spun 3 times. What is the probability of landing on red, then blue, then red again?
A) 361 B) 1136 C) 1112 D) 4
15. One coin is tossed 3 times. What is the probability it will land on tails 3 times in a row?
A) 18 B. 16 C. 13 D. 12
CHAPTER 8 GEOMETRY
1. Which is the front view of the object below?
A) B. C. D.
2. What is the top view after this object is rotated vertically 180 about the axis shown?
A) B. C. D.
3. Which object matches the views indicated?
Axis of rotation
Front
4. Which is the front view of the object after a 90o rotation towards you about the axis?
A) B) C) D)
5. What 3-D object is made using the views below?
A) B. C. D.
6. What is the left view of this object?
Front
Axis of Rotation
7. Justin created a three dimensional object using blocks. Which is the only correct view of his object?
8. What is the front view of the object after it has been rotated 90° towards you about the axis? A) B. C. D.
9. Which combination of two regular polygons will tessellate?
A) Octagon and Square B) Octagon and Hexagon C) Pentagon and Hexagon D )Pentagon and Octagon
10. Which is the front view of the object after it has been rotated 90o clockwise about the axis?
Front
Axis of Rotation
11. Which is the top view after it has been rotated 90o away from you about the axis?
A) B. C. D.
12. Which polygon will not tessellate?
A) B) B. C) C. D) D.
13. Which rotation describes Shape Q as the image of Shape P?
A) 90 cw B. 180 C. 270 cw D. 360
14. Which is used to produce this tessellation?
A) enlargement B) reflection C) rotation D) translation
15. The diagram shows a pattern that could be extended to create a tessellation. What transformation was used to get from trapezoid 1 to trapezoid 3?
A) cw rotation B. ccw rotation C. Reflection D.Translation
16. What is the sum of the angles, in degrees, around any given point in a tessellation?
