Grade 7 M-STEP math questions often look simple at first glance, but many of them are multi-step word problems. Students need to identify the situation, choose the operation, keep track of units, and explain their reasoning. The Michigan Department of Education lists M-STEP resources for students in Grades 3-8, and the Spring 2026 online test administrator manual lists Grade 7 mathematics as a computer-adaptive test with an estimated 2 hour session time.
ViewMath is not affiliated with or endorsed by the Michigan Department of Education or M-STEP. These are original practice problems written for Michigan Grade 7 math review. For official assessment information, use the MDE M-STEP page.
Grade 7 Math Skills to Know
| Domain | What Students Should Practice |
|---|---|
| Ratios and Proportional Relationships | Unit rates, proportional tables, percent change, markup, markdown, tax, tip, and simple interest. |
| The Number System | Adding, subtracting, multiplying, and dividing rational numbers, including negatives and fractions. |
| Expressions and Equations | Equivalent expressions, two-step equations, inequalities, and word-problem equations. |
| Geometry | Scale drawings, circles, area, surface area, volume, and angle relationships. |
| Statistics and Probability | Sampling, comparing populations, probability models, and compound events. |
12 M-STEP-Style Grade 7 Word Problems
These are original practice questions, not released M-STEP items.
1. Unit Rate. A runner travels 3 miles in 24 minutes at a constant rate. At that rate, how many minutes will it take to run 5 miles?
2. Percent Discount. A jacket originally costs $85. The store marks it down by 30%. What is the sale price?
3. Rational Numbers. The temperature was -4 degrees F at midnight. By noon it had risen 17 degrees. By 6 p.m. it dropped 9 degrees. What was the temperature at 6 p.m.?
4. Fractions in a Ratio Context. A recipe uses 2/3 cup of sugar for one batch of cookies. How many cups of sugar are needed for 4 1/2 batches?
5. Equation from a Context. Marcus earns $12 per hour. After buying a $45 gift, he has $111 left. Write and solve an equation to find how many hours Marcus worked.
6. Simple Interest. Jordan deposits $600 in an account that earns 3% simple interest per year. How much interest will Jordan earn in 2 1/2 years?
7. Circle Area. A circular garden has a diameter of 14 feet. What is the area of the garden? Use 3.14 for pi and round to the nearest square foot.
8. Scale Drawing. On a scale drawing, 1 inch represents 8 feet. A room measures 3.5 inches by 2.25 inches on the drawing. What is the actual area of the room?
9. Probability. A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is chosen at random, what is the probability that it is not red?
10. Inequality. A moving company charges $50 for the first hour and $35 for each additional hour. Deondre can spend at most $155. Write and solve an inequality to find the maximum number of additional hours he can hire the movers.
11. Comparing Populations. Class A has a median quiz score of 76 and a range of 40. Class B has a median quiz score of 74 and a range of 12. Which class performed more consistently, and how do you know?
12. Compound Probability. A spinner has 4 equal sections: red, blue, yellow, and green. If the spinner is spun twice, what is the probability of landing on red both times?
Answer Key with Work
- 40 minutes. The rate is 24 ÷ 3 = 8 minutes per mile, and 8 × 5 = 40.
- $59.50. The discount is 0.30 × 85 = $25.50, and 85 – 25.50 = $59.50.
- 4 degrees F. Start at -4, rise to 13, then drop to 4.
- 3 cups. Convert 4 1/2 to 9/2, then multiply 2/3 × 9/2 = 18/6 = 3.
- 12h – 45 = 111, so 12h = 156 and h = 13 hours.
- $45. Use I = Prt = 600 × 0.03 × 2.5.
- About 154 square feet. The radius is 7, so area = 3.14 × 7 × 7 = 153.86.
- 504 square feet. Actual dimensions are 28 feet by 18 feet, and 28 × 18 = 504.
- 1/2. There are 5 non-red marbles out of 10 total marbles.
- 50 + 35h ≤ 155, so 35h ≤ 105 and h ≤ 3. The maximum is 3 additional hours.
- Class B. The medians are close, but Class B has a much smaller range, so the scores are more tightly clustered.
- 1/16. The probability of red on each spin is 1/4, so 1/4 × 1/4 = 1/16.
How to Solve Grade 7 Word Problems
- Underline the question. Decide what the final answer must represent before calculating.
- Name the units. Dollars, minutes, feet, cups, and degrees are clues to the correct operation.
- Write an equation or expression first. This helps prevent random arithmetic.
- Estimate before computing. A percent discount should make the price smaller; a scale drawing should make dimensions larger.
- Check the answer in context. If a probability is greater than 1, or a discount price is larger than the original price, something went wrong.
One-Week Grade 7 Review Plan
| Day | Focus | Practice Task |
|---|---|---|
| 1 | Ratios and percents | 10 unit-rate and percent problems. |
| 2 | Rational numbers | Mixed operations with integers, decimals, and fractions. |
| 3 | Equations and inequalities | Translate 8 word problems into equations or inequalities. |
| 4 | Geometry | Circles, scale drawings, area, volume, and surface area. |
| 5 | Statistics and probability | Compare samples and solve probability problems. |
| 6 | Mixed practice | Take a timed set and start an error log. |
| 7 | Repair | Redo every missed problem without notes. |
ViewMath Michigan Grade 7 Resources
Use ViewMath Michigan Grade 7 resources for worksheets, quizzes, workbooks, and practice tests aligned to Michigan Grade 7 math standards.
Recommended ViewMath Books
