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Practice solving ratio and rate problems with varying levels of difficulty. Learn about ratios, rates, and proportional reasoning. Includes examples and solutions.
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Ratio Rates Problems on Ratios and Rates Proportional Reasoning 10 10 10 10 20 20 20 20 30 30 30 30 40 40 40 40 50 50 50 50
Ratios – Level 1 • Give the ratio of circles to rectangles. Answer: 3: 5
Ratios – Level 2 • Give the ratio of blue circles to red triangles to rectangles • Answer: 3 : 1 : 0
Ratios – Level 3 Give the simplest form of the ratio 15 : 25 and another equivalent ratio. Answer: simplest form = 3:5 another equivalent ratio = 30:50
Ratios – Level 4 What is the percentage of blue circles present In the following diagram. Answer: 3 : 10 = 3÷10 = 0.3 = 30%
Ratios – Level 5 There are 3 colored marbles in a bag. The color of themarbles are blue, red and green. If the part to part ratioof blue marbles to red marbles is 3 : 5 and the part towhole ratio of blue marbles to the total marbles is 3:15.How many green marbles are there in the bag? Answer: 7
Rates– Level 1 Which of the following is an example of a rate A) $15 per 1 medium pizzaB) 30 km to 10 inchesC) 10 green marbles to 3 red marbles Answer: $15 per 1 medium pizza
Rates – Level 2 Define the term unit rate. Answer: Unit rate describes how many units of a type of quantity to one unit of a different type of quantity.
Rates– Level 3 What is the unit rate of 90 meters in 15 seconds? Answer: 6 meters per 1 second
Rates– Level 4 John can eat 50 timbits in 1 minute. How much can John eat in 15 seconds? Answer: 12.5 timbits
Rates– Level 5 Silva is able to jog 1500 meters in 5 min.What is the unit rate of Silva’s speed. What is the mistake in this solution? Step 1: 5 min ÷ 5 = 1 min Step 2: 1500 m × 5 = 7500 m Solution = 7500m in 1 min Answer: Step 2
Problems on Ratios and Rates – Level 1 15 : 5 = 45 : S Answer: S =15
Problems on Ratios and Rates – Level 2 If John earns $24 in one hour, how muchwill he earn if he works 25 hours? Answer: $ 600
Problems on Ratios and Rates – Level 3 13 : 8 = x : 34 Answer: x = 55.25
Problems on Ratios and Rates – Level 4 If a baker bakes 200 croissants in 2 hours, how many croissants can a baker make given 7 hours? Answer: 700 croissants
Problems on Ratios and Rates – Level 5 Is the following ratio equivalent? Is there a solution for x? 2 : 5 : 8 | 26 : x : 104 Answer: x = 65 Yes, because 2 × 13 = 26 and 8 × 13 = 104
Proportional Reasoning – Level 1 In a shootout, Luongo allowed 2 out of 3 shootout goals while Hiller allowed 1 out of 3 shootout goals. Who had a better save percentage? Answer: Hiller – 2/3
Proportional Reasoning – Level 2 If paint A has 3 cans of red paint and 4 cans of white paint and paint B uses 6 cans of redpaint and 8 cans of white paint. Which solution will have a stronger red color? Answer: Same
Proportional Reasoning – Level 3 Which yields the greatest speed? a) 50 meters in 7 secondsb) 100 meters 12 secondsc) 200 meters in 21 seconds Answer: 200 meters in 21 seconds
Proportional Reasoning – Level 4 Jenny wanted to buy a sack of potatoes. Superstore has a 5 kg sack for $3.99 whileSafeway has a 2 kg for $1.99. Where should Jenny buy the sack of potatoes? Answer: Superstore
Proportional Reasoning – Level 5 Ryan needs a winter jacket for next winter. Store A is selling a wool coat for $320. There is an additional sale of 30% off on everything in Store A. Store B sells a different coat for $240. The store is also offering an additional 10% off. Which jacket should Ryan buy if he Is looking for the cheaper jacket? Answer: Store B