| Numbers and Operations | Demonstrate and explain the meaning of ratio, the meaning of percent, and the connections to fractions and decimals. |
1. If the ratio of boys to girls in Mr. Hyoto’s class is exactly 2 to 3, how many boys and girls are in the class?
a. 12 boys and 18 girls
b. 10 boys and 18 girls
c. 18 boys and 12 girls
d. 8 boys and 16 girls
2. Which number in place of the ? makes the sentence true?
3 : 5 = ? : 25
a. 15 c. 20
b. 18 d. 25
3. The table below shows the total number of home runs for four players on a baseball team.
What percent of the home runs shown in the table were hit by Juan?
a. 30% c. 50%
b. 40% b. 60%
4. The Sports Shop marked 25% off all merchandise for a sale. Tanya wants to buy a fishing rod that cost $80 before the price was reduced. What is the sale price of the fishing rod?
a. $20 c. $60
b. $75 d. $100
5. Which percent means
most of something, but not all of it?a. 1% c. 91%
b. 55% d. 104%
6. Which picture shows the ratio 5:7?
7. What percent does the fraction
1/5 represent?a. 10% c. 25%
b. 20% d. 40%
8. Katrina has 45 jelly beans in her bag. The ratio of red to yellow jelly beans is 1:2. How many yellow jelly beans does she have?
a. 15 c. 25
b. 20 d. 30
9. What would be the ratio of shaded squares to unshaded squares in the example shown below?
a. 3:1 c. 9:36
b. 1:3 d. 27:9
10. While collecting leaves for school, Troy noticed that the ratio of green leaves to non-green leaves was 2:3. Another way of expressing this relation is:
a. 2 leaves out of every five leaves are green.
b. 20% of the leaves are green.
c.
2/3 of the leaves are green.d. 2 leaves out of every 3 leaves are green.
11. Pam's class has 9 boys and 17 girls. What is the ratio of girls to boys?
a. 9 to 17 c. 9 to 26
b. 17 to 9 d. 17 to 26
12. What is the ratio of CDs to cassette tapes in Jack's music collection?
a. 8 to 5 c. 5 to 3
b. 5 to 8 d. 3 to 5
Questions 13, 14, and 15 refer to this diagram.
13. What is the ratio of circles to all the items in the set?
a. 1 to 3 c. 1 to 5
b. 1 to 3 d. 1 to 6
14. What is the ratio of stars to triangles?
a. 2 to 1 c. 2 to 4
b. 2 to 3 d. 2 to 6
15. What is the ratio of triangles to non-triangles?
a. 3 to 1 c. 3 to 3
b. 3 to 2 d. 3 to 6
16. What percentage of the squares are shaded?
a. 15% c. 50%
b. 30% d. 25%
17. The following results were recorded from Halton Sixth grade students when asked to express their preference among 4 colors.
30% liked yellow.
2/5 like green.
1 out of every 4 liked pink.
0.05 liked red.
Which color did most students prefer?
a. red c. yellow
b. pink d. green
18. Simon is making soup. He uses 4 cans of soup mix and 6 cans of water. What ratio of soup mix to water did he use?
a. 1 : 3 c. 3 : 5
b. 2 : 3 d. 6 : 4
19. The A-plus car factory is producing only green and blue cars today. The ratio of blue cars on the assembly line to green cars is 1 : 2. If there are 99 cars on the assembly line, how many are green?
a. 30 c. 50
b. 33 d. 66
20. A punch is made by mixing 0.1 liters of syrup with 0.5 liters of water. How many liters of syrup should be used with 1.5 liters of water?
a. 0.3 c. 3
b. 1.5 d. 30
21. It took Jeremy 3 hours to bike 39 km. How fast was Jeremy traveling?
a. 13 km per hour
b. 36 km per hour
c. 42 km per hour
d. 117 km per hour
22. Which group contains ratios that are the same as 1 to 4?
a. 2 : 4, 3 : 4, 4 : 4
b. 1 : 5, 1 : 6, 1 : 7
c. 2 : 4, 4 : 8, 5 : 10
d. 2 : 8, 3 : 12, 5 : 20
23. Change the ratio 42 : 49 to a simplified ratio.
a. 6 : 7 c. 6 : 9
b. 6 : 8 d. 7 : 6
24. Which symbol makes the equation true?
3/4 
80%
a. > c. <
b. = d. >
25. Which group contains only values that are equivalent to 0.40?
a. 4/10, 4% c. 2/5, 40%
b. 0.4, 4% d. 4/100, 40%
26. Four out of nine people surveyed said they preferred going to movies on Saturday rather than the other days of the week. Which ratio shows similar information.
a. 4 : 10 c. 20 : 90
b. 8 : 18 d. 2 : 5
27. The following is one row of a pattern of red, 'R' and blue, 'B' blocks.
What would be a correct way of describing a large square made up of 10 of these rows of blocks?
a. 40% of the blocks are red.
b. The ratio of red to blue blocks is 40 : 60.
c. There will be a total of 60 red blocks.
d. There will be a total of 20 blue blocks.
28. What percentage is equal to the fraction 20/25
a. 40% c. 20%
b. 8% d. 80%
29. What percent would be equal to a number between
2/3 and 3/4?a. 80% c. 50%
b. 70% d. 25%
30. What percent is less than 1/
10?a. 7% c. 70%
b. 17% d. 25%
31. What percent could be used to best describe "hardly any at all"?
a. 2% c. 50%
b. 20% d. 12%
32. What percent best describes "a little more than three quarters"?
a. 75% c. 74%
b. 80% d. 77%
33. What percent of the circle is represented by A.
a. 50% c. 75%
b. 40% d. 25%
34. About what percent of the circle is represented by A?
a. 75% c. 95%
b. 85% d. 100%
35. What percentage of this hundredths grid is shaded?
a. 93% c. 70%
b. 83% d. 91%
36. Which number does not represent the shaded area of this grid?
a. 4/5 c. 80%
b. 0.08 d. 8/10
37. Which number does not represent the shaded area of this grid?
a. 25/100 c. 2.50
b. 3/4 d. 25%
38. Which point on the number line below shows about 80%?
a. I c. III
b. II d. IV
39. Which point on the number line below represents about 30%?
a. I c. III
b. II d. IV
Multiple Choice | Short Answer | Higher Order
1. The ratio of boys to girls in Mr. Hyoto's class is exactly 3 to 5 . How many boys are there in the class if there are 20 girls?
2. The ratio of chickens to ducks is 4 : 1 on Mr. McDonald's farm. How many ducks are there when the total of ducks and chickens is 100? Explain your thinking.
3. What would be the ratio of shirts to pants, in simplest form, when there are 200 shirts and 600 pants?
4. The ratio of green to red Christmas lights on a tree is 4 : 5. How many red lights are there if the tree has 63 lights?
5. The ratio of students who prefer pizza to hamburgers is 3:2. How many total students are there in a class when 15 prefer pizza? Explain your thinking.
6. Which number in place of the ? makes the sentence true?
4 : 5 = 8 : ?
7. Which number in place of the ? makes the sentence true?
1 : 5 = ? : 25
8. At Westray Zoo, the ratio of polar bears to black bears is 2 : 3. Use this information to write 3 other ratios. Be sure to use words in your ratios.
9. Sergio has 90 jelly beans in his bag. The ratio of red to yellow jelly beans is 1 : 2. How many yellow jelly beans does he have?
10. Write 1/
5 as a decimal number and as a percent.
11. Write 0.3 as a fraction and as a percent.
12. Write 75% as a decimal number and as a fraction in lowest terms.
13. The Sports Shop marked 15% off all merchandise for a sale. Tanya wants to buy a fishing rod that costs $100 before its price is reduced. How much money will she save?
14. Mary got 43 correct out of 50 questions on her math test. What percentage did she get wrong? Explain your thinking.
15. The students in Mrs. Smith's classroom surveyed the students in their school to see which sport was most popular. The following table shows the percentage of students that chose each sport as their favorite.
Favorite Sport Percent of Students
Volleyball 25%
Basketball 30%
Hockey 30%
Soccer 15%
Use this strip graph to represent the data from the table. Be sure to use labels.
16. What percentages of the squares in this pattern are shaded? Explain your thinking.
1. Jamal uses the following recipe to make Cranberry Delight.
| Cranberry Delight |
| 3 L apple juice |
| 1 L cranberry juice |
| 4 L ginger ale |
A. What is the ratio of apple juice to cranberry juice?
B. What is the ratio of cranberry juice to all ingredients?
C. If Jamal used 16 L of ginger ale to make a huge batch of Cranberry Delight, how much cranberry juice would be needed?
D. How large would the batch of Cranberry Delight be if Jamal used 16 L of ginger ale. Explain your thinking.
2. The ratio for making a smarties-peanut mix is 3 grams of smarties to 5 grams of peanuts. How many grams of peanuts are needed to make 240 grams of the mix?
3. A factory can produce game boards at a rate of 175 boards per hour. How many game boards will the factory produce in 40 hours? Explain your thinking.
4. A car painting company has to repaint 2% of its cars. How many cars will have to be repainted for every 400 cars? Explain your thinking.
5. Estimate to label points for 25%, 50%, and 75% for each of the following number lines.
A.
B.
C.
6. On each number line below show approximately where 33% and 66% are located.
A.
B.
C.
7. Use the locations given on each number line to help you label 100%. You may need to make some lines longer.
A.
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B.
C.
