1. For every $2.50 that Pam saves in her account, her brother saves $7 in his account. a.
Determine a ratio to describe the money in Pam’s account to the money in her brother’s account. b. If Pam has 40 dollars in her account, how much money does her brother have in his account? Use a tape diagram to support your answer. c. Record the equivalent ratio using the information from part b above.
2. David Beckham is trying to decide where to send his daughter to school. He is looking for a school with a low student-teacher ratio. The Lil Wayne School has 108 students and 18 teachers. The Wale School has 75 students and 15 teachers.
Which school has the lower student-teacher ratio?
3. The ratio of Xander’s lego pieces to Ronan’s lego peices are 4:5. Xander has 600 fewer lego pieces than Ronan. How many lego pieces does each boy have? Use a tape diagram to find the answer.
4. Last week, Julia made bouquets of flowers that had a ratio of 4 roses to 5 daisies.
This week, roses are too expensive so she used a ratio of only 2 to 7. If she used 60 fewer roses this week, how many roses and daisies did she use last week? Use a tape diagram to find the answer.
5. The ratio of the number of people who liked the movie Frozen to the number of people who did not like the movie is 75:25. For every 6 people who liked the playlist,
2 people did not. Do these statements agree? Prove your answer using the values of the ratios .

6. The ratio of insects to arachnids is 8 to 5 at the museum. Fill in the table.
7. Insects 8. 8
15. Arachnids 16. 5
9. 16 10. 24 11. 32 12. 40 13. 48 14. 56
17. 10 18. 19. 20. 21.
7. James can run 3 miles for every 1.5 miles Carrie can run. Fill in the table.
22.
6. James 7. 3
12. Carrie 13. 1.5
8. 4
14.
9. 5
15. 2.5
10. 6
16. 3
11. 7
17.
8. Beth walks 4 km in 60 minutes. If she continues to walk at the same rate, determine how many minutes it will take her to walk 7.5 km. Use a double number line diagram to support your answer.
9. Angela enjoys swimming and often swims at a steady pace to burn calories. At this pace, Angela can swim 1,700 meters in 40 minutes.
What is Angela’s unit rate ?
(Hint: Be sure to include the UNITS!)
10. Tiffany is filling her daughter’s pool with water from a hose. She can fill the pool at a
1 rate of
10
gallons/second. Create at least three equivalent ratios that are associated with the rate. Use a double number line to show your work.
11. Amy drove from Toronto to Temagami to go canoeing. The speed limit on the highway was 90 km /hour. If Alejandra’s combined driving time for the trip was 6 hours, how many kilometers did Amy drive?

12. Kiara, Giovanni, and Ebony are triplets and always argue over who can answer basic math facts the fastest. After completing a few different math minutes, Kiara,
Giovanni, and Ebony recorded their data, which is shown below.
Kiara: 𝑚 = 5𝑡 where 𝑡 = time in seconds and 𝑚 = number of math facts completed
Giovanni:
Seconds
Math Facts
5
20
10
40
15
60 a) What is the math fact completion rate for each student? b) Who would win the argument? How do you know?
Ebony:
13. Value Grocery Mart has a sale on crackers. Market City has the same crackers on sale. Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning.
Value Grocery Mart:
Boxes of
Crackers
3
Cost (dollars) 5
6
10
9
15
12
20
Market City: 𝑐 = 1.75𝑏 , where 𝑐 represents the cost in dollars and 𝑏 represents the number of boxes of crackers

14. One hundred offices need to be painted. The workers choose between yellow, blue, or beige paint. They decide that 45% of the offices will be painted yellow; 28% will be painted blue, and the remaining offices will be painted beige. Write the amounts as decimals and fractions.
Color
Yellow
Blue
Beige
% Fraction Decimal
15. Find 40% of 60 using two different strategies , one of which must include a pictorial model or diagram .
16. 15% of an amount is 30. Calculate the whole amount using two different strategies , one of which must include a pictorial model or diagram .
17. Jane paid $ 40 for an item after she received a 20% di scount. Jane’s friend says this means that the original price of the item was $48. Is her friend correct? Why or why not?
18. The sale price of an item is $160 after a 20% discount. What was the original price of the item?
19. Challenge yourself: What is 52 % percent of 26 % of 27?