Units 1–6 Cumulative Review

[Pages:2]Units 1?6

Cumulative Review

UNIT

1 1. Use the divisibility rules to find the

factors of each number.

a) 120 b) 84

c) 216

2. Grace collects autographs of sports celebrities. She collected 7 autographs at the BC Open Golf Tournament. She then had 19 autographs. How many autographs did she have before the BC Open? a) Write an equation you can solve to find how many autographs Grace had before the BC Open. b) Solve the equation. c) Verify the solution.

2 3. Write the integer suggested by each situation below. Draw yellow or red tiles to model each integer. a) You walk down 8 stairs. b) You withdraw $10 from the bank. c) The temperature rises 9?C.

4. Use tiles to subtract. a) (9) (3) b) (9) (3) c) (9) (3) d) (9) (3)

3 5. Find a number between each pair

of numbers.

a) 1.6, 1.7

c)

2

1 7

,

16 7

b)

161,

7 11

d) 2.7, 245

6. Find the area of a rectangular vegetable plot with base 10.8 m and height 5.2 m.

7. The regular price of a scooter is $89.99. The scooter is on sale for 20% off. a) What is the sale price of the scooter? b) There is 14% sales tax. What would a person pay for the scooter?

4 8. a) How many radii does a circle have? b) How many diameters does a circle have?

9. A DVD has diameter 12 cm. a) Calculate the circumference of the DVD. Give your answer to two decimal places. b) Estimate to check if your answer is reasonable.

10. Which has the greatest area? The least area? a) a rectangle with base 10 cm and height 5 cm b) a parallelogram with base 7 cm and height 8 cm c) a square with side length 7 cm

11. Zacharie has 50 m of plastic edging. He uses all the edging to enclose a circular garden. Find: a) the circumference of the garden b) the radius of the garden c) the area of the garden

254

Units 1?6

UNIT

12. Adele recorded the hair colours of all 6 17. a) Sketch balance scales to represent

Grades 7 and 8 students in her school.

each equation.

Hair Colour Black Brown Blonde

Students 60 20 30

b) Solve each equation. Verify the solution. i) s 9 14 ii) s 5 14 iii) 3s 27 iv) 3s 5 23

Red

10

18. Use tiles to solve each equation.

Sketch the tiles you used.

a) Find the total number of students.

a) x 5 11

b) 13 x 4

b) Write the number of students with each hair colour as a fraction of the total number of students.

c) Write each fraction as a percent. d) Draw a circle graph to represent

the data.

19. Juan works as a counsellor at a summer camp. He is paid $7/h. He was given a $5 bonus for organizing the scavenger hunt. How many hours did Juan work if he was paid $250? a) Write an equation you can use to

5

13.

A

cookie

recipe

calls

for

3 8

cup

of

brown

sugar

and

1 3

cup

of

white

sugar. How much sugar is needed

solve the problem. b) Solve the equation. How many

hours did Juan work?

altogether? Show your work.

20. In a game of cards, black cards are

14. Estimate, then add or subtract.

a)

3 5

1 6

b)

5 6

5 12

c)

2 3

1 8

d)

1 4

2 9

worth 1 point each, and red cards are worth ?1 point each. Four players are each dealt 13 cards per round, their scores are recorded, then

15. The Boudreau family started a trip

with

the

gas

gauge

reading

3 4

full.

At the end of the trip, the gauge read

1 8

full.

What

fraction

of

a tank of gas was used?

the cards are shuffled. Write an equation you can use to solve each problem below. Solve the equation. a) In Round Two, Shin was dealt

8 black cards and 5 red cards. His overall score was then 10. What

16. Add or subtract. a) 516 334

c) 135 323

b)

1130

2 3

d) 256 158

was Shin's score after Round One? b) In Round Two, Lucia was dealt

6 black cards and 7 red cards. Her overall score was then 4. What

was Lucia's score after Round One?

Cumulative Review 255

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