Math 8 Review 1

Representing Data, Rates, Ratios, Proportional Reasoning

100

A type of graph that is best used for representing a change over time.

Line graph

200

What type of graph would be best to represent the following information?

There are 28 students in Cindy’s Math class. 14 are brunette, 7 are blonde, 4 have black hair, 2 are red heads, and one has dyed hair.

bar graph

300

A recipe for trail mix calls for 2 cups of mini pretzels, 3 cups of roasted soy chips, 1 cup of raisins, and 1 cup of sunflower seeds. You make 2 batches of trail mix. c) What is the ratio of soy chips and raisins to total trail mix?

Write as a fraction, ratio, and percent.

4/7, 4:7, 57%

400

A carton of milk costs $1.09 for 500 ml. What is the unit price per ml of milk?  

$0.00218

500

Kara is buying pears for a cake she is baking. At the store, she can buy 8 pears for $8.40. How much will it cost her to buy 17 pears?

$17.85

Probability

100

What is the formula for probability?

probability = favourable outcome/possible outcomes

200

A 8-sided die is rolled. What is the probability of getting a number higher than 6? Write as a percent.

25%

300

A coin is flipped and a 6-sided die is rolled. What is the probability of flipping tails and rolling a 2 or 3. Write as a fraction in lowest terms.

1/6

400

2 6-sided dice are rolled. What is the probability of getting a sum larger than 6. Write as a percent.

58.3%

500

Spinner 1: A, B, C

Spinner 2: D, E, F

Spinner 3: G, H, I, J

What is the probability of spinning A, D, and G/H?

Write as a fraction in lowest terms.

1/9

Fractions

100

What is (6/5) - (6/10)? Answer as a fraction in lowest terms.

3/5

200

3 x (4/9). Write as an improper fraction.

12/9

300

(3/4) ÷ 4

3/16

400

2 2/5 x 4 1/2

108/10 or 54/5

500

(1/3) x ((4/5) - (2/10)) + (2/3)

Write your answer as a fraction in lowest terms.

13/15

Percents

100

How many hundreds grids is needed to represent 456%?

5

200

What is 0.6% as a decimal

0.006

300

Convert 1.12 into a fraction in lowest terms.

28/25

400

What is 15 1/4% of $45? Round to the nearest hundredth.

$6.86

500

Patrick and his family ate at a restaurant for $56. He tipped 15% of the bill. What is his final bill including tip and GST (5%)?

$67.20

Integers

100

(-12)(-12)

144

200

(-20) x (4) x (-12)

960

300

(-65.5)/(8.7) 

-7.7

400

(+30) ÷ (-10) + (-20) ÷ (-1)

17

500

3 x [15 + (-18)] – 8 ÷ (-4)

-7