Seventh grade math in the five reporting categories of Wisconsin's Forward Exam: proportions, rational numbers, equations, geometry and probability.
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Unofficial practice questions, not affiliated with the Wisconsin Department of Public Instruction. Bank checked October 13, 2026.
The real test: Forward Exam math, grade 7
Questions
42
Questions and points
42 scored questions worth 48 points, plus 8 field test questions: 50 in all.
Sessions
Three: 17 questions with no calculator, then 17 and 16 questions with the calculator built into the test.
Time
Untimed. The suggested time, for scheduling only, is 35 minutes a session.
Points by category
Ratios and Proportional Relationships 10 to 12, The Number System 10 to 12, Expressions and Equations 10 to 12, Statistics and Probability 7 to 9, Geometry 6 to
Question kinds
Multiple-choice, multiple-select, short-answer and technology-enhanced questions.
Results
Four performance levels: Developing, Approaching, Meeting and Advanced. In grade 7 mathematics the scale runs from 1430 to 1840.
$750 earns simple interest at 4% a year. How much interest does it earn in 2 years?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Ratios and Proportional Relationships; Wisconsin Standards for Mathematics (2021), M.7.RP.A.3
A graph of a proportional relationship shows miles ridden against hours on a bike trail. It passes through (0, 0) and (1, 9). What does the point (1, 9) mean?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Ratios and Proportional Relationships; Wisconsin Standards for Mathematics (2021), M.7.RP.A.2
A jacket costs $64. Sales tax of 5.5% is added. What is the total?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Ratios and Proportional Relationships; Wisconsin Standards for Mathematics (2021), M.7.RP.A.3
A machine resurfaces 3/4 of an ice rink in 1/3 hour. At that rate, how many rinks could it resurface in 1 hour?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Ratios and Proportional Relationships; Wisconsin Standards for Mathematics (2021), M.7.RP.A.1
Show all 42 questions (38 more)
Ratios and Proportional Relationships, continued
A snowplow clears 2 1/2 miles of road in 1/4 hour. What is its unit rate?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Ratios and Proportional Relationships; Wisconsin Standards for Mathematics (2021), M.7.RP.A.1
A table pairs x = 5, 15, 20 with y = 8, 24, 32. The relationship is proportional. What is the constant of proportionality?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Ratios and Proportional Relationships; Wisconsin Standards for Mathematics (2021), M.7.RP.A.2
Cheese curds cost $7.50 per pound. Which equation gives the cost c, in dollars, of p pounds?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Ratios and Proportional Relationships; Wisconsin Standards for Mathematics (2021), M.7.RP.A.2
Four tables pair x with y. Which one shows y proportional to x?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Ratios and Proportional Relationships; Wisconsin Standards for Mathematics (2021), M.7.RP.A.2
The price of a sled drops from $80 to $60. What is the percent decrease?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Ratios and Proportional Relationships; Wisconsin Standards for Mathematics (2021), M.7.RP.A.3
The Number System 9
A diver is at −32.5 feet. The diver rises 4.5 feet each minute for 5 minutes. What is the new position?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, The Number System; Wisconsin Standards for Mathematics (2021), M.7.NS.A.3
A hiker climbs 180 feet up a bluff and then comes down 180 feet. What is the total change in elevation?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, The Number System; Wisconsin Standards for Mathematics (2021), M.7.NS.A.1
Long division turns 2/11 into a decimal. Which describes it?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, The Number System; Wisconsin Standards for Mathematics (2021), M.7.NS.A.2
The temperature was −9°F at dawn and 4°F at noon. How many degrees apart are the two temperatures?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, The Number System; Wisconsin Standards for Mathematics (2021), M.7.NS.A.1
What is (−5/6) ÷ (10/3)?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, The Number System; Wisconsin Standards for Mathematics (2021), M.7.NS.A.2
What is (−8)(−3.5)?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, The Number System; Wisconsin Standards for Mathematics (2021), M.7.NS.A.2
What is −3.5 + (−2.25)?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, The Number System; Wisconsin Standards for Mathematics (2021), M.7.NS.A.1
Which expression is equal to −7 − 5?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, The Number System; Wisconsin Standards for Mathematics (2021), M.7.NS.A.1
Which of these is NOT equal to −7/9?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, The Number System; Wisconsin Standards for Mathematics (2021), M.7.NS.A.2
Expressions and Equations 10
A bowling alley charges $4 for shoes and $3.50 for each game. Noah pays $18. How many games does he bowl?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Expressions and Equations; Wisconsin Standards for Mathematics (2021), M.7.EE.B.4
A store takes 35% off a price p. Which expression also gives the sale price?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Expressions and Equations; Wisconsin Standards for Mathematics (2021), M.7.EE.A.2
At 6 p.m. the temperature is 8°F. It falls 2.5 degrees each hour for 6 hours. What is the temperature then?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Expressions and Equations; Wisconsin Standards for Mathematics (2021), M.7.EE.B.3
Ava buys 3 notebooks at $2.40 each and a pen for $1.75. A coupon takes $1.50 off. What does she pay?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Expressions and Equations; Wisconsin Standards for Mathematics (2021), M.7.EE.B.3
Maya has $120 and spends $9 each week on lunch. She wants at least $30 left. Which inequality and solution fit the number of weeks w?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Expressions and Equations; Wisconsin Standards for Mathematics (2021), M.7.EE.B.4
Two friends each buy a ticket and an $8 snack pass. Together they pay $46. What does one ticket cost?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Expressions and Equations; Wisconsin Standards for Mathematics (2021), M.7.EE.B.4
What value of x makes 5(x + 3) = 45 true?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Expressions and Equations; Wisconsin Standards for Mathematics (2021), M.7.EE.B.4
Which expression is equivalent to (1/2)x + 3 − (1/4)x + 5?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Expressions and Equations; Wisconsin Standards for Mathematics (2021), M.7.EE.A.1
Which expression is equivalent to 20x − 15?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Expressions and Equations; Wisconsin Standards for Mathematics (2021), M.7.EE.A.1
Which expression is equivalent to −5(4x − 3)?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Expressions and Equations; Wisconsin Standards for Mathematics (2021), M.7.EE.A.1
Geometry 7
A circular hole cut in lake ice for fishing is 10 inches across. Using 3.14 for π, what is its area?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Geometry; Wisconsin Standards for Mathematics (2021), M.7.G.B.4
A plane cuts a right rectangular pyramid parallel to its base, partway up. What shape is the cut surface?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Geometry; Wisconsin Standards for Mathematics (2021), M.7.G.A.3
A scale drawing of a garden uses 1 centimeter for 3 meters. The drawing is 5 centimeters by 2 centimeters. What is the area of the real garden?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Geometry; Wisconsin Standards for Mathematics (2021), M.7.G.A.1
The base of a triangular prism is a triangle with a base of 9 centimeters and a height of 4 centimeters. The prism is 11 centimeters long. What is its volume?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Geometry; Wisconsin Standards for Mathematics (2021), M.7.G.B.6
Mai has straws of several lengths, in inches. Which three lengths can she join end to end to form a triangle?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Geometry; Wisconsin Standards for Mathematics (2021), M.7.G.A.2
On a map, 1 inch stands for 12 miles. Two lakes are 5.25 inches apart on the map. How far apart are they?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Geometry; Wisconsin Standards for Mathematics (2021), M.7.G.A.1
Two angles are complementary. One measures 34° and the other measures (3x + 5)°. What is x?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Geometry; Wisconsin Standards for Mathematics (2021), M.7.G.B.5
Statistics and Probability 7
A bag holds 6 red, 4 blue and 5 green marbles. One is drawn without looking. What is the probability that it is NOT red?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Statistics and Probability; Wisconsin Standards for Mathematics (2021), M.7.SP.C.7
A coin is flipped and a number cube numbered 1 to 6 is rolled. What is the probability of tails and an even number?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Statistics and Probability; Wisconsin Standards for Mathematics (2021), M.7.SP.C.8
A school has 600 students. Which sample would best show the favorite lunch of all the students?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Statistics and Probability; Wisconsin Standards for Mathematics (2021), M.7.SP.A.1
A spinner lands on blue with probability 3/8. In 240 spins, about how many times should it land on blue?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Statistics and Probability; Wisconsin Standards for Mathematics (2021), M.7.SP.C.6
Class A's mean quiz score is 74 and Class B's is 83. The mean absolute deviation of each class is 3 points. The difference between the means is how many times the mean absolute deviation?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Statistics and Probability; Wisconsin Standards for Mathematics (2021), M.7.SP.B.3
In a random sample of 40 students, 9 bike to school. The school has 720 students. About how many of them bike to school?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Statistics and Probability; Wisconsin Standards for Mathematics (2021), M.7.SP.A.2
Which of these probabilities belongs to an event that is unlikely but can still happen?Wisconsin Department of Public Instruction, Forward Exam Mathematics Blueprint, Grade 7, Statistics and Probability; Wisconsin Standards for Mathematics (2021), M.7.SP.C.5
How this list was compiled: Outline: Forward Exam Mathematics Blueprints, Grades 3-8, Mathematics Blueprint Grade 7, Wisconsin Department of Public Instruction, https://dpi.wi.gov/media/26847/download?inline, and Wisconsin Forward Exam 2026 Test Designs, https://dpi.wi.gov/media/26486/download?inline, both linked from Forward Exam Resources, https://dpi.wi.gov/assessment/forward/resources, read 2026-10-13: the reporting categories, their cluster statements and possible points, and the number of questions. Each question names the standard it practices in the Wisconsin Standards for Mathematics (2021), https://dpi.wi.gov/media/27134/download?inline, read 2026-10-13. Every calculation is worked out a second time from the numbers in the question. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from a Forward Exam, the department's practice test, a sample item or another practice test, and no example of the standards document is reused. The department's grade 7 practice tests were not read.
How it works
An unofficial Forward practice test for 7th grade mathematics in Wisconsin. Its 42 questions are our own and match the number scored on the real test. No English language arts here. Not affiliated with the Wisconsin Department of Public Instruction.
Read the full guide
What the 7th grade Forward Exam asks in math
The blueprint spreads 48 points over five reporting categories. Three carry 10 to 12 points each. Ratios and Proportional Relationships: unit rates with fractions, constants of proportionality, tax, interest and percent change. The Number System: adding, subtracting, multiplying and dividing negative numbers. Expressions and Equations: equivalent expressions, two-step equations and inequalities. Statistics and Probability has 7 to 9 points: random samples and chance. Geometry has 6 to 8: scale drawings, circles, angles and volume.
Sessions with and without a calculator
The first of the three sessions, 17 questions, allows no calculator. The other two have the test's built-in calculator. Work the fraction, decimal and negative-number questions here by hand. Each answer names its standard, such as M.7.RP.A.3, in the Wisconsin Standards for Mathematics (2021).
Questions and answers
Is there a Forward practice test for 7th grade from the state?
Yes. The Department of Public Instruction posts grade 7 practice tests in English language arts and mathematics on its Forward Exam practice test page, linked in the box under the questions. None of their questions is used here.
How many questions are on the 7th grade Forward Exam math test?
50, in three sessions of 17, 17 and 16. Of those, 42 are scored, for 48 points, and 8 are field test questions that do not count.
How long does the 7th grade Forward Exam math test take?
The department calls the Forward Exam an untimed test. For scheduling only, it suggests 35 minutes for each of the three grade 7 mathematics sessions.
What score is Meeting on the 7th grade Forward Exam in math?
From 1633 to 1683, on a scale that runs from 1430 to 1840. Developing and Approaching are below it, and Advanced starts at 1684. A percent here is practice only.
What tests do 7th graders take on the Forward Exam?
English language arts and mathematics. Only grades 4 and 8 take science, and grades 4, 8 and 10 take social studies, so seventh graders take neither.