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7th Grade Mathematics Practice - Set 1 — Iowa Assessments (ITBS) Prep

This 7th Grade math practice set addresses the algebraic reasoning and quantitative analysis skills evaluated on the Iowa Assessments (ITBS) at Level 12. Seventh graders will work with linear equations, proportional relationships, probability and statistics, geometric transformations, and complex multi-step problems. The Iowa Test of Basic Skills at this level measures students' readiness for advanced mathematics by testing their ability to think algebraically and apply mathematical concepts across different contexts. These practice questions help 12 and 13 year old students strengthen the analytical skills crucial for standardized assessment success.

Total Questions: 25 Grade: 7th Grade Iowa Level: Level 12 Ages: 12-13
RatiosProportionsPercent
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Math Set 1

Ratios, Proportions, Percent

Question 1 of 25
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Review All 25 Practice Questions

Ratios

  1. The ratio of boys to girls in a class is 3:5. If there are 40 students in total, how many boys are in the class? (12 | 15 | 24 | 25)
  2. A recipe calls for flour and sugar in the ratio 4:3. If you use 12 cups of flour, how many cups of sugar do you need? (8 cups | 9 cups | 10 cups | 16 cups)
  3. Which ratio is equivalent to 15:25? (2:5 | 3:5 | 5:3 | 3:4)
  4. A map has a scale of 1:50,000. If two cities are 4 cm apart on the map, what is the actual distance in kilometers? (2 km | 20 km | 200 km | 0.2 km)
  5. The ratio of cats to dogs at an animal shelter is 7:4. If there are 28 cats, how many dogs are there? (12 | 16 | 14 | 49)
  6. A classroom has red, blue, and green markers in the ratio 2:3:5. If there are 50 markers in total, how many blue markers are there? (10 | 15 | 25 | 20)
  7. Express the ratio 45 minutes to 2 hours in simplest form. (45:2 | 3:8 | 45:120 | 9:24)
  8. If 3 pencils cost $1.50, how much would 7 pencils cost? ($3.00 | $3.50 | $4.00 | $5.25)

Proportions

  1. Solve for x: 4/6 = x/15 (x = 8 | x = 10 | x = 12 | x = 9)
  2. If 5 workers can complete a job in 12 days, how many days would it take 10 workers? (24 days | 6 days | 8 days | 4 days)
  3. A car travels 180 miles in 3 hours. At this rate, how far will it travel in 5 hours? (250 miles | 300 miles | 360 miles | 270 miles)
  4. Solve for x: 8/12 = 14/x (x = 18 | x = 21 | x = 24 | x = 16)
  5. A tree casts a shadow 15 feet long. At the same time, a 6-foot person casts a shadow 4 feet long. How tall is the tree? (20 feet | 22.5 feet | 25 feet | 18 feet)
  6. If 8 oranges cost $4.00, how many oranges can you buy for $6.00? (10 | 12 | 14 | 16)
  7. On a scale drawing, 1 inch represents 8 feet. If a room is 20 feet long, how many inches long is the room on the drawing? (2 inches | 2.5 inches | 3 inches | 4 inches)
  8. Solve for x: 9/x = 27/12 (x = 4 | x = 6 | x = 3 | x = 8)
  9. A machine produces 240 parts in 4 hours. How many parts will it produce in 7 hours? (360 parts | 420 parts | 480 parts | 560 parts)

Percent

  1. What is 35% of 240? (72 | 84 | 96 | 68)
  2. A shirt originally costs $45. If it ($13.50 | $31.50 | $15.00 | $30.00)
  3. If 18 is 25% of a number, what is that number? (54 | 72 | 45 | 90)
  4. A population increases from 800 to 920. What is the percent increase? (12% | 15% | 18% | 20%)
  5. Convert 5/8 to a percent. (58% | 62.5% | 65% | 58.5%)
  6. A test has 80 questions. If you answer 68 correctly, what percent did you get correct? (80% | 85% | 90% | 75%)
  7. The price of a car decreased from $25,000 to $20,000. What is the percent decrease? (15% | 20% | 25% | 10%)
  8. A store marks up items by 40%. If an item costs the store $50, what is the selling price? ($60 | $70 | $90 | $65)
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