Number and Operations |
Solve ratio, rate, and proportion problems.
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Multiple Choice | Short Answer | Higher Order
1. What is the ratio of shaded to non-shaded squares in the diagram below?
a. 3 : 2 b. 6 : 9
c. 3 : 4 d. 4: 6
2. What is the ratio of circles to squares to triangles in the following diagram?
a. 3 : 4 : 2 b. 4 : 3 : 2
c. 9: 11 : 6 d. 2 : 3 : 4
3. What is the ratio of squares to circles.
a. 2:4 b. 4:3
c. 3:4 d. 2:5
4. The ratio of leaves to flowers in a plant is 4:3. If there are 28 leaves on a plant, how many flowers are there on this plant?
a. 3 b. 7
c. 18 d. 21
5. Willie practices tennis 28 hours per week. How many hours per day does he practice?
a. 3 b. 4
c. 4.5 d. 7
6. If a bus driver was driving at a speed of 60 miles per hour, how far would the bus go in 11.1 hours?
a. 668 miles b. 698 miles
c. 712.5 miles d. 802.4 miles
7. How many hours would it take to drive 275 miles, at a rate of 55 miles per hour?
a. 3.5 b. 5
c. 6 d. 7
8. Julie earned $160 for typing a 2 500 word essay. What rate of pay is Julie's for each 1000 words?
a. $60 b. $64
c. $128 d. $640
9. Three bags of cookies cost $3.36. How much will 7 bags cost?
a. $6.80 b. $6.98
c. $7.84 d. $10.08
Multiple Choice | Short Answer | Higher Order
1. Ms. Garcia has 29 students in her science class. Only 18 students passed the last test. What was the ratio of students who passed to students who failed?
2. Carol found 48 candies, 14 pieces of licorice and 8 sticks of gum in her desk drawer. Write the following ratios in lowest terms.
A. licorice to cookies B. gum to licorice
C. cookies to gum D. cookies to licorice
3. Which is the greater ratio?
A. 4:1 or 10:2
B. 6:4 or 12:3
C. 2:3 or 3:4
4. Circle the equivalent ratios in this set.
6:9 10:14 18:27 12:18 5:7 2:3
5. What is the ratio, in lowest terms, of vowels to consonants in the word ‘CIRCUMFERENCE'?
6. Helen walked 2 miles in 30 minutes. How long would it take for her to walk 7 miles?
7. Kathy walked 6 miles in one and one half hours. What was her walking rate in mi/h?
8. The ratio of movies to books is 3:2. If a store has 24 books, how many movies must it have?
8. Write the unit rate for the following:
A. 460 yards in 40 seconds
B. $5.60 for 8 cupcakes
C. 390 sit-ups in 3 minutes
10. Kim earned $184 for 25 hours of work. Stephanie earned $190 for 27 hours of work. Who earned more per hour?
11. Bob received 42 out of 40 on his physical education test by scoring bonus marks. What was Bob's test score as a percent?
12. Kevin works as a fishing guide. He earns $20 for a 3 hour fishing trip. How much would he earn for a 15 hour trip?
13. Write the ratio 27:18:36 in simplest form.
14. Gena had 18 pens and 8 pencils. She gave 2 pens and 4 pencils to Eduardo. What is the ratio of pens to pencils now? Express in lowest terms.
15. Write two ratio equivalents to 60:12:8.
16. Marco has 104 nails, 72 screws and 40 bolts. What is the ratio of nails to screws to bolts in lowest terms?
17. At St. Mary's Middle School, 3 out of 7 students stay for lunch. If the school has 910 students, how many stay for lunch?
18. Find the missing term in the following proportions.
A. 3 / n = 9 / 15 B. n / 7 = 8 / 28
C. 10 / 15 = n / 24 D. 12km / 3h = n / 9h
E. $4.20 / 10 kg = $0.84 / n
19. The ratio of dogs to cats treated per week at the neighborhood animal hospital is 9:4. If 28 cats were brought to the hospital in one week, how many dogs were treated at the hospital?
Multiple Choice | Short Answer | Higher Order
1. Why is the ratio of 15 dimes and 20 nickels 3:2?
2. Describe how you could find the missing term in these proportions.
A. 10 / 12 = n / 30 B. 72 goals / 12 games = n / 10 games
3. You can buy AA batteries in a variety of packages. Which of these packages of the same brand is the best buy; 2 batteries for $1.89, 6 batteries for $4.49, or 20 batteries for $15.99?