Representing
Equivalent
Communication
Word Problems
Wild Card
100
What is the ratio of odd numbers to even numbers?
3:2
100
What is the ratio of dotted sections to total number of sections?
Write the ratio AND the simplified ratio that is equivalent.
2:4
Simplified: 1:2
100
What is a ratio?
A comparison of two or more quantities.
100
John bought 3 pairs of Nike shoes for $600.
How much did two pairs cost?
If 3 were $600 that means that each pair was $200 because 600 divided by 3 is 200.
200 x 2= 400.
Therefore the cost of two pairs would be 400.
100
Jimmy Butler averages 20 points and 5 rebounds per game.
What is the simplified ratio of rebounds to points?
Jimmy Butler's ratio of rebounds to points is 1:4.
200
Write two part-to-part ratios for the image
planets with rings to no rings 5:3
no rings to planets with rings 3:5
200
Write 3 possible ratios for hooks to worms.
Include the most simplified ratio.
1:3
2:6
3:9
200
Bekka wrote the following ratios for the tile design she made: 6:2, 9:6, 2:17.
What does each ratio represent? How do you know?
6:2 is the ratio of yellow hexagons to red trapezoids.
9:6 is the ratio of green triangles to hexagons.
2:17 is the ratio of trapezoids to all shapes.
I know from counting each group of shapes and the total number of shapes.
200
Valerie spent 108 dollars on gift bags for her birthday party. She has enough for 12 friends.
How much did each gift bag cost?
108 divided by 12 = 9
Therefore each gift bag cost Valerie $9.
200
Which ratios would be part to part and which would be part to whole according to the picture:
3:8, 3:5, 5:3, 8:5
3:8 and 8:5 are part to whole ratios
3:5 and 5:3 are part to part ratios
300
What is the ratio of spoons to forks?
7:4
300
Ian plays Elden Ring every day. Each day he finds 6 Sites of Grace (checkpoints). What is the ratio of days played to sites of grace found?
Write 3 equivalent ratios to the original.
(You should have 4 total)
Original ratio 1:6
Equivalent possibilities:
2:12, 3:18, 4:24, 5:30, 6:36, 7:42, 8:48, etc.
300
Otis says that 1:4 is equivalent to 7:28.
Is he correct? Explain why or why not.
He is CORRECT!
1:4 is equivalent because 1 x 7= 7 and 4 x 7 = 28.
or
The simplified ratio of 7:28 is 1:4 because I divided both sides by 7.
300
If 2 hats cost $18, how much do 7 hats cost?
If 2 hats cost $18 that means 1 hat costs $9 because 18 divided by 2 =9
Then to find how many 7 hats cost you would have to do 9x7= 63
Therefore it would cost $63 for 7 hats.
300
Sarah made jam with 8 cups of raspberries for every 1 cup of sugar. What would the ratio over raspberries to sugar be if she made 7 batches of jams? How many cups of raspberries and sugar would they need?
Use a ratio table to show your work. Write a statement to answer the question.
56:7
Sarah would need 56 cups of raspberries and 7 cups of sugar to make 7 batches of jam.
400
Write 4 different part to whole ratios for the image:
Diamonds to all: 1:12
Clubs to all: 2:12
Spades to all: 5:12
Hearts to all: 4:12
(or vice versa)
400
What is the ratio of red beads to blue beads. Write two equivalent ratios. Include the simplest form as one of them.
6:9 original ratio
Simplest form: 2:3
Other equivalent:
4:6, 6:12, 10:15, 12:18, 60:90, etc.
400
Is each statement true or false? Explain how you know.
a) 2 to 3 = 8 to 12
b) 3:4 = 6:10
a) True because it's multiplying the simplified ratio by 4.
b) False because both parts of the ratio are not being multiplied by the same amount. 3 is multiplied by 2 to get 6 but 4 x 2 is not 10.
400
Penny is preparing for a marathon. A half marathon is 21 km.
Her average pace is 20 minutes/km. If she maintains the same pace how many hours would it take for her to complete. ?
20 x 21 = 420
(20 x 20 = 400 +20 = 420).
420 divided by 60 (because we have to give answer in hours) = 7
Therefore it would take Penny 7 hours to complete the half marathon.
400
In Candice’s class the ratio of girls to boys is 3:2. What might be the ratio that shows the actual number of girls to boys in her class? Show how you know.
a) 18:10
b) 13:12
c) 18:12
d) 20:12
18:12 because 3x6= 18 and 2x6 = 12
So 18:12 is equivalent to 3:2.
500
Write the following ratios. State whether they are part to part (PP) or part to whole (PW)
What is the ratio of green to light blue?
What is the ratio of pink to purple?
What is the ratio of orange to red?
What is the ratio of all to light blue?
What is the ratio of dark blue to orange?
What is the ratio of yellow to all?
4:3 (part to part)
2:4 (part to part)
2:2 (part to part)
22:3 (part to whole)
3:2 (part to part)
2:22 (part to whole)
500
Height= 4
Width = 3
He divided both dimensions by 4
16 divided by 4 = 4
12 divided by 4 = 3
500
Mandy bought tickets to the Wicked premiere screening. She got 4 for 36 dollars.
Serena bought 3 tickets for 33 dollars.
What is the ratio for each girls number of tickets to cost?
Who spent more on each ticket? Explain how you know.
Mandy ratio: 4:36
Simplified-> 1:9
Serena: 3:33
Simplified-> 1:11
Therefore Serena spent more on each ticket, spending $11 each whereas Mandy only spent $9 each.
500
Based on these speeds who travels the farthest in one hour? Order from least to greatest.
Show your work
Cam walked 12 km in 3 hours which is the same 4 km/h. Alex cycled 9km in 1 hr.
Claire 4 km in 30 mins meaning it would 8 km for an hour. Luke went 10km in 2 hrs so it would 5 km for 1 hour.
Least to Greatest: Cam, Luke, Claire, Alex
500
A truck travelled along a road at a constant rate of speed.
It travelled 400 km in 5 hours.
What was the speed of the truck per hour.
400 divided by 5 = 80
The truck was travelling 80km per hour.