A baker uses 2.5 cups of flour for each loaf of bread. Which equation gives the cups of flour f needed for n loaves?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.RP.A.2c
A jacket priced at $80 is marked down 35%. A 5% sales tax is then added to the sale price. What is the total cost?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.RP.A.3
A painter covers 5/8 of a wall in 1/4 hour. At that rate, how many walls does the painter cover in one hour?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.RP.A.1
A savings account pays 4% simple interest each year. How much interest does $600 earn in 3 years?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.RP.A.3
Show all 44 questions (40 more)
Major Content: Proportional Relationships, continued
A table of a proportional relationship shows x = 4, 6, 10 and y = 3, 4.5, 7.5. What is the constant of proportionality, y divided by x?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.RP.A.2b
The graph of a proportional relationship shows hours worked, x, and dollars earned, y. It passes through (1, 14). What does that point mean?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.RP.A.2d
Lena walks 3/4 mile in 1/3 hour. At that rate, how many miles does she walk in one hour?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.RP.A.1
Which set of values shows y proportional to x?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.RP.A.2a
Major Content: Operations with Rational Numbers 8
A diver is at −42 feet, measured from the surface of a lake. A bird is flying at 27 feet. What is the distance between them?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.NS.A.1c
Maya earns $18 an hour and gets a 5% raise. At the new rate, how much does she earn for 30 hours of work?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.EE.B.3
The price of a share of stock changed by −$1.75 on each of 4 days. On the fifth day it rose $2.40. What was the total change over the 5 days?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.NS.A.3
What is (−2/3) × (−9/10) in simplest form?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.NS.A.2a
What is −3.5 − (−6.25)?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.NS.A.1c
What is −4.8 ÷ 0.6?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.NS.A.2c
Which expression is NOT equal to −(12/5)?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.NS.A.2b
Which situation ends with a total change of 0?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.NS.A.1a
Major Content: Expressions, Equations, and Inequalities 8
A store takes 20% off a price p. Which expression gives the new price?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.EE.A.2
A taxi charges $3.50 to start a ride plus $2.25 for each mile. A ride costs $21.50. How many miles long is the ride?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.EE.B.4a
Jo has $60 and saves $12 each week. She wants at least $180. Which inequality and solution show the number of weeks w she needs?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.EE.B.4b
What is the solution of 4(x + 3) = −20?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.EE.B.4a
What is the solution of 5x − 8 = 27?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.EE.B.4a
Which expression has the same value as −5(2x − 7) for every value of x?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.EE.A.1
Which expression is equivalent to (1/2)(8x − 6) + 3x?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.EE.A.1
Which expression is equivalent to 12x + 18?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Major Content, LSSM 7.EE.A.1
Additional & Supporting Content 8
A box is a right rectangular prism 5 centimeters long, 4 centimeters wide and 3 centimeters high. What is its surface area?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Additional & Supporting Content, LSSM 7.G.B.6
A circle has a diameter of 14 centimeters. What is its area in terms of π?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Additional & Supporting Content, LSSM 7.G.B.4
A fair coin is tossed and a number cube with faces 1 to 6 is rolled. What is the probability of heads and a number greater than 4?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Additional & Supporting Content, LSSM 7.SP.C.8a
A right rectangular pyramid is sliced by a plane parallel to its base. What shape is the cross-section?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Additional & Supporting Content, LSSM 7.G.A.3
In a random sample of 40 students at a school, 14 walk to school. The school has 600 students. About how many of them walk to school?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Additional & Supporting Content, LSSM 7.SP.A.2
On a map, 2 centimeters stand for 5 kilometers. Two towns are 7 centimeters apart on the map. How far apart are the towns?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Additional & Supporting Content, LSSM 7.G.A.1
Two angles are supplementary. One measures (3x + 10)° and the other measures 50°. What is the value of x?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Additional & Supporting Content, LSSM 7.G.B.5
Which three side lengths can NOT be the sides of a triangle?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Additional & Supporting Content, LSSM 7.G.A.2
Mathematical Reasoning & Modeling 12
A car goes about 28.6 miles on a gallon of gas. Gas costs $3.09 a gallon. Which is the best estimate of the cost of gas for a trip of 412 miles?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.III.7.4 (reasoned estimates, 7.NS.A.3 and 7.EE.B.3)
A garden bed is a rectangle 15 feet by 8 feet. One bag of mulch covers 12 square feet and costs $4.25. How much does it cost to cover the bed?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.III.7.2 (multi-step problems on 6.RP.A, 6.EE.C and 6.G)
A graph of cost against pounds of rice is a straight line through (0, 0) and (4, 10). Ty says the price is $4 a pound. Which statement is correct?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.II.7.4 (a coordinate plane diagram, 7.RP.A)
A phone plan costs $30 a month and includes 500 texts. Each extra text costs $0.08. One month the bill is $36.40. How many texts were sent?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.III.7.1 (multi-step problems on the Major Content)
A round pizza 12 inches across costs $9. A shop sets its prices in proportion to the area of the pizza. What should a pizza 16 inches across cost?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.III.7.3 (micro-models, 7.RP.A.2 and 7.G.B.4)
A salesperson is paid $400 a week plus a 6% commission on sales. What must the sales be for the week's pay to reach at least $700?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.III.7.1 (multi-step problems on the Major Content)
A school orders 12 boxes of markers at $7.50 a box. The order gets a 20% discount, and then a $6 delivery fee is added. What is the total cost?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.III.7.1 (multi-step problems on the Major Content)
Ana adds a 20% tip to a $45 bill and splits the total among 3 friends. She writes 45 × 0.20 = 9 + 45 = 54 ÷ 3 = 18. Her answer, $18, is right. What is wrong with her work?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.II.7.7 (valid chains of reasoning, 7.RP.A.3 and 7.EE.B.3)
Dev solves 3(x − 4) = 18. Step 1: 3x − 4 = 18. Step 2: 3x = 22. Step 3: x = 22/3. Where is his first error?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.II.7.5 (solution steps as a logical argument, 7.EE.B.4a)
On a number line, Max starts at −2 and moves 7 units to the left. Which statement matches his move?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.II.7.3 (a number line diagram, 7.NS.A)
Rosa writes that −(4x − 7) is equal to −4x − 7. Which statement about her work is correct?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.II.7.1 (properties of operations, 7.EE.A.1)
Which statement explains why 5 − (−3) = 8?Louisiana Department of Education, LEAP Assessment Guide for Grade 7 Mathematics (July 2026), Appendix A, Mathematical Reasoning & Modeling, evidence statement LEAP.II.7.2 (the relationship between addition and subtraction, 7.NS.A.1)
How this list was compiled: Outline: LEAP Assessment Guide for Grade 7 Mathematics, Louisiana Department of Education, Office of Assessments, Analytics, and Accountability (July 2026), https://doe.louisiana.gov/docs/default-source/assessment-guidance/leap-2025-assessment-guide-for-grade-7-math.pdf, linked from Assessment Guidance, https://doe.louisiana.gov/school-system-leaders/measuring-results/assessment-guidance, read 2026-10-09: the test design table, the reporting categories and Appendix A, which lists the Louisiana Student Standards for Mathematics and the LEAP evidence statements each category may test. Each question names the standard or evidence statement it practices. The answers are arithmetic on the numbers in the question, worked out again. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from a LEAP test, the state's practice test, a sample item of the assessment guide, a LEAP 360 or EAGLE item or another practice test.
How it works
Unofficial practice for LEAP grade 7 mathematics, Louisiana's state test. Every question was written for this site from the standards in the state's assessment guide; none is a state practice item. Not affiliated with the Louisiana Department of Education.
Read the full guide
What the LEAP grade 7 math test covers
The state's guide sorts the test into three reporting categories. Major Content carries 27 of the 55 points: proportional relationships and percent, operations with rational numbers, and expressions, equations and inequalities. Additional & Supporting Content, 9 points, is scale drawings, circles, angles, surface area, sampling and probability. Mathematical Reasoning & Modeling, 19 points, asks students to explain, find errors and solve multi-step real-world problems.
How the answers are checked
Each answer names the Louisiana standard or LEAP evidence statement it practices, such as 7.RP.A.3 for percent problems, and shows the steps. Every result was computed again from the numbers in the question.
Session 1 of the real test allows no calculator, so work the rational number questions by hand.
Questions and answers
Is this a LEAP 360 7th grade math practice test?
No. LEAP 360 is the state's own optional set of diagnostic and interim assessments, which schools give during the year. This page is separate, unofficial practice on the same grade 7 standards.
Is this the LEAP 2025 math practice test for grade 7?
No. The state's own grade 7 practice test, listed on its practice tests page under the name LEAP 2025, runs in its testing software. The box under the questions links to that page. These 44 questions are unofficial.
How many questions are on the LEAP 7th grade math test?
37 tasks that count, worth 55 points, plus 3 to 5 field-test tasks. They come in three timed sessions of 60, 75 and 75 minutes. Exam mode here asks 37 of the 44 questions.
Can you use a calculator on the 7th grade LEAP math test?
In Sessions 2 and 3 only, and it is a four-function calculator. Session 1 allows none. A student with an approved accommodation may use a four-function calculator in every session.
Is there a 7th grade LEAP practice math test PDF?
This page prints as a paper test with an answer key, and a browser's print window can save it as a PDF. The state posts the answer key to its own practice test as a PDF.