Name Date. 2. Belinda jogged 1.5 km, then walked 500 m. Write the ratio of distance jogged to distance walked in simplest form.

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1 Extra Practice 1 Lesson 2.1: Using Proportions to Solve Ratio Problems 1. Find each missing term. a) x:8 = 9:24 b) y:15 = 7:3 c) a:8 = 9:4 d) p 12 = e) b 5 = 18 6 f) t 11 = Belinda jogged 1.5 km, then walked 500 m. Write the ratio of distance jogged to distance walked in simplest form. 3. An advertisement claims that 7 out of 8 people prefer Brand X. Suppose 216 people were interviewed. Find the number of people who prefer Brand X. 4. The Grade 8 students held a graduation dance. Four out of 7 students attended. There are 112 Grade 8 students. How many students attended the dance? 5. A ski shop rents 5 snowboards for every 3 sets of skis it rents. Suppose 126 sets of skis were rented. How many snowboards were rented? 6. For a painting, the ratio of the length to the width is 5:3. The painting is 45 cm wide. How long is the painting? 7. The ratio of the number of students who take trumpet lessons to clarinet lessons is 6:5. The ratio of the number of students who take piano lessons to trumpet lessons is 8:3. Ten students take clarinet lessons. a) How many students take trumpet lessons? b) How many students take piano lessons?

2 Extra Practice 2 Lesson 2.2: Scale Drawings 1. A model airplane was made using a scale of 1:150. The model is 48 cm long. What is the actual length of the plane? 2. A blueprint for a cottage has a scale of 1:40. One room measures 3.4 m by 4.8 m. Calculate the dimensions of the room on the blueprint. 3. a) The scale on a map of Ontario is 1: The map distance between London and Timmins is 28 cm. What is the actual distance between the cities? b) The scale on a large map of Canada is 1: The actual distance between Fredericton, New Brunswick, and Vancouver, British Columbia, is 5650 km. What is the map distance between Fredericton and Vancouver? 4. A bug is 6 mm long. A scale drawing of the bug is 7.8 cm long. What is the scale of the drawing? 5. A rectangular garden measures 24 m by 18 m. Choose a suitable scale. Make a scale drawing of the garden. 6. An ant is 1.4 cm long. Which scale would you use to draw the ant in your notebook? Explain. a) 10:1 b) 1:10 c) 100:1 d) 1:100 e) 1000:1 f) 1: Brock s Monument on Queenston Heights is about 56 m tall. A drawing of the monument just fits on this page. What is the scale of the drawing?

3 Extra Practice 3 Lesson 2.3: Comparing Rates 1. Write a unit rate for each statement. a) 560 km travelled in 7 h b) 4 cans of beans for $1.76 c) 280 words typed in 7 min d) $786 earned in 6 weeks 2. Banana chips sell for 44 per 100 g. How much would 450 g of banana chips cost? 3. Which is the greatest average speed? a) 78 km in 3 h b) 96 km in 4 h c) 125 km in 5 h 4. Which is the better buy? a) 5 oranges for $1.65 or 8 oranges for $2.77 b) 2 L of lemonade for $2.56 or 1 L for $1.32 c) 3 kg of apples for $5.70 or 2 kg for $ A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes? b) How many bags of flour do you need? 6. Ned types 360 words in 6 min. Nate types 220 words in 4 min. Who would type more words in 10 min? What assumptions do you make? 7. In the first 8 games of the hockey season, Moira scored 26 goals. a) On average, how many goals did Moira score per game? b) At this rate, how many goals will Moira score in 20 games? 8. The courier travelled 508 km in 8 h. a) What was the average speed? b) At this rate, how long will it take the courier to travel 889 km?

4 Extra Practice 4 Name Date Lesson 2.4: Calculating Percents 1. Write each percent as a decimal. Draw diagrams to illustrate your answers. a) 275% b) 56% c) 0.8% d) 0.25% e) 9% f) 105% 2. Write each fraction as a percent. Draw diagrams to illustrate your answers. a) 3 5 c) 15 3 e) 7 25 b) 1 40 d) 5 6 f) Find the percent of each number. Draw diagrams to illustrate your answers. a) 40% of 240 b) 7% of 320 c) 200% of 64 d) 0.5% of One hundred sixty students attended Music Night on Thursday night. The attendance on Friday night was 120% of the attendance on Thursday night. The attendance on Saturday night was 75% of the attendance on Friday night. a) How many people attended Music Night on Friday night? b) How many people attended on Saturday night? c) What was the total attendance for the 3 nights? 5. Thirty girls and 20 boys signed up for the trip to the museum. On the day of the trip, 4 boys and 2 girls were absent. a) What percent of the girls who signed up were absent? b) What percent of the boys who signed up were absent? c) What percent of the students who signed up were absent? 6. In a 500-word assignment, the teacher noted that 1.2% of the words were incorrectly spelled. a) How many words were correctly spelled? b) Estimate to check your answer.

5 Extra Practice 5 Lesson 2.5: Solving Percent Problems 1. Find the number in each case. a) 30% of a number is 12. b) 2% of a number is 9. c) 150% of a number is 60. d) 55% of a number is Find the amount in each case. a) 8% is 72 cm. b) 0.6% is 18 g. c) 120% is 24 m. d) 32% is 64 ml. 3. Write each increase as a percent. a) The price of gasoline increased from 93.9 to b) The price of a car increased from $ to $ c) The price of a loaf of bread increased from $1.99 to $ Write each decrease as a percent. a) The number of employees decreased from 6800 to b) The area of a park decreased from 840 ha to 672 ha. c) The price of a computer decreased from $3000 to $ A printing machine produces labels. Four percent of the labels produced are defective. Suppose 372 labels were defective. How many labels are not defective? 6. A field goal kicker was successful 75% of the time. He made 51 field goals. How many kicks did he make in total? 7. Lesley and Enid left their waitress a 15% tip. The tip was $ What was their total bill, not including the tip?

6 Extra Practice 6 Lesson 2.6: Sales Tax, Discount, and Commission 1. For each item below: a) Calculate the PST and GST. b) Calculate the cost, including taxes. i) A pair of running shoes priced at $89.60 ii) A DVD priced at $ For each item below: a) Calculate the discount. b) Calculate the sale price, before taxes. c) Calculate the sale price, including taxes. i) Notebook: Regular price $1598, now 20% off ii) Digital camera phone: Regular price $158, now 15% off 3. For each item below, calculate: i) the percent decrease in price ii) the sale price, including taxes a) A television marked down from $1488 to $1100 b) An electronic game marked down from $56.84 to $ A camera shop reduced the price of a digital camera by 10% at the end of the first week, by 20% at the end of the second week, and by a further 20% at the end of the third week. The original price of the camera was $625. a) Calculate the sale price after 3 weeks. b) Calculate the sale price, including the sales taxes. 5. During a 15% off sale, the sale price of a garden bench was $ What was the regular price of the bench? 6. A family sold a home for $ and paid 6% commission. a) How much was the commission? b) How much did the family receive for the house? c) What if the family had been able to pay only 5% commission. How much would the family have saved? 7. A furniture store offers two choices of discount on a sofa with a price of $1250. Choice A: 15% discount Choice B: $200 rebate Which is the better deal for the customer? Justify your answer.

7 Name Date Extra Practice 7 Lesson 2.7: Simple Interest 1. Calculate the simple interest paid on each deposit. a) $600 invested at an annual interest rate of 3% for 2 years b) $1800 invested at an annual interest rate of 4% for 5 years c) $380 invested at an annual interest rate of 6% for 3 years d) $ invested at an annual interest rate of 8% for 2 years 2. Calculate the simple interest and the amount. a) $1200 invested at an annual interest rate of 8% for 6 months b) $800 invested at an annual interest rate of 5% for 9 months c) $7500 invested at an annual interest rate of 6% for 18 months d) $ invested at an annual interest rate of 2% for 8 months 3. Janine borrows $8000 at a rate of 6% per year for 5 years. She pays back the money in equal monthly payments over the 5 years. a) What simple interest does Janine pay? b) What is each monthly payment? 4. Karl invested $ at a simple interest rate of 6.5% per year. How much will Karl earn in 1 year? 5. Clarissa borrowed $3600 to buy a car. She will pay back the money after 15 months. She pays simple interest at a rate of 8 1 % per year. 4 What amount will Clarissa pay after 15 months? 6. Justin has a $3000 savings bond. He has had the bond for 5 years. The bond paid 2% interest per year. Justin cashes the bond. a) What simple interest does Justin receive? b) What amount will Justin receive?