Forward Exam Grade 7 math word problems should prepare students for proportional reasoning, percent, rational numbers, expressions, equations, geometry, probability, and statistics. Wisconsin DPI describes the Forward Exam as an online assessment aligned to Wisconsin Academic Standards, and the official practice test page helps students become familiar with the digital format and item types.
This guide is not official DPI material. It gives independent practice problems that match the kind of multi-step reasoning Grade 7 students need for classwork and test preparation.
Grade 7 Word-Problem Topics
| Topic | Word-Problem Skill |
|---|---|
| Ratios and proportions | Set up equivalent ratios and solve for missing values |
| Percent | Discount, tax, tip, percent increase, percent decrease |
| Rational numbers | Use positive and negative numbers in context |
| Expressions and equations | Translate words into equations and solve |
| Geometry | Area, circumference, volume, scale drawings |
| Probability and statistics | Use samples, probability models, and data displays |
Mixed Word Problems
- A recipe uses 4 cups of rice for 10 servings. How many cups are needed for 25 servings?
- A jacket costs $80 and is on sale for 25% off. What is the sale price before tax?
- The temperature was -6 degrees in the morning and rose 14 degrees by afternoon. What was the afternoon temperature?
- Solve this situation: Three times a number plus 8 is 35. What is the number?
- A scale drawing uses 1 inch to represent 6 feet. A room is 4.5 inches long on the drawing. How long is the actual room?
- A circle has radius 7 cm. Use 3.14 for pi. What is the circumference?
- A student answers 42 questions correctly out of 56. What percent is correct?
- A bag has 6 blue tiles, 5 red tiles, and 9 green tiles. What is the probability of choosing a red tile?
- A bank account starts at $45. The owner withdraws $18, deposits $30, then withdraws $12. What is the final balance?
- A class survey of 30 students shows 18 prefer online homework. If the school has 600 students, about how many might prefer online homework?
Answer Explanations
- 10 cups. The unit rate is 4/10 = 0.4 cup per serving. For 25 servings, 25 x 0.4 = 10.
- $60. The discount is 25% of 80, or $20. Then 80 – 20 = 60.
- 8 degrees. -6 + 14 = 8.
- 9. The equation is 3x + 8 = 35. Then 3x = 27, so x = 9.
- 27 feet. Since 1 inch represents 6 feet, 4.5 x 6 = 27.
- 43.96 cm. Circumference = 2 x 3.14 x 7.
- 75%. 42/56 = 0.75.
- 5/20 = 1/4.
- $45. 45 – 18 + 30 – 12 = 45.
- About 360 students. The survey proportion is 18/30 = 0.6, and 0.6 x 600 = 360.
How to Teach Students to Start Word Problems
Many Grade 7 students can do the arithmetic but do not know where to begin. Give them a simple four-step routine:
- Underline what the question asks.
- Circle the numbers and units.
- Choose the topic: percent, ratio, equation, geometry, data, or integer operation.
- Write one equation or expression before calculating.
This routine slows students down just enough to prevent guessing. It also helps them explain their reasoning, which is useful for classroom work and test review.
Extra Practice Set
- A jacket is discounted 30% from $80. What is the sale price?
- The ratio of boys to girls in a club is 4:5. There are 36 students total. How many girls are in the club?
- A submarine is at -120 feet and rises 45 feet. What is its new elevation?
- A circle has radius 9 cm. What is the approximate area using 3.14 for pi?
- A sample of 40 students shows 28 prefer online review. Estimate how many of 500 students would prefer online review.
Answers
- $56, because 30% of $80 is $24 and $80 – $24 = $56.
- 20 girls. The ratio has 9 parts, and 36 / 9 = 4, so girls are 5 x 4.
- -75 feet.
- About 254.34 square centimeters.
- About 350 students.
Review Routine for Word Problems
After students finish a mixed set, do not simply mark right and wrong. Have them label each problem by type: percent, ratio, integer, equation, geometry, or data. Then choose the two most common missed types and assign a small targeted set. A student who misses three percent questions needs percent review, not another random page of mixed problems.
For Forward Exam preparation, finish with a few official practice-test items or school-provided online practice so students are comfortable reading word problems on screen. Paper worksheets build skill; online practice builds format familiarity.
That mix gives students both accuracy and confidence.
Common Grade 7 Word-Problem Mistakes
- Using the wrong base in percent problems: The original amount is usually the base for increase or decrease.
- Writing ratios backward: Keep labels attached to both numbers.
- Ignoring negative signs: Temperature, elevation, debt, and bank accounts often use rational numbers.
- Using area formula for circumference: Read whether the problem asks around, inside, or total space.
- Treating sample estimates as exact: Survey predictions are estimates, not guaranteed counts.
ViewMath Wisconsin Grade 7 Resources
The Wisconsin Forward Exam Grade 7 Math collection includes a study guide, workbook, step-by-step guide, 30-day prep, quizzes, and practice tests. Use the workbook for word-problem fluency, quizzes for short checks, and practice tests after the student has reviewed ratios, percent, equations, geometry, and data.
ViewMath is independent and is not affiliated with or endorsed by Wisconsin DPI or the Forward Exam program.
