Free Practice Questions for KSA Math Grade 7

Exam-style questions and explanations by OpenExamPrep.

✓ No registration✓ No credit card

100+ Questions

100% Free

Loading practice questions...

Same family resources

Explore More Kentucky Summative Assessment (KSA)

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.

Sample KSA Math Grade 7 Practice Questions

Try these sample questions to review concepts for the KSA Math Grade 7 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A recipe uses $\frac{3}{4}$ cup of flour for every $\frac{1}{2}$ batch of cookies. How many cups of flour are needed for 1 whole batch of cookies?

A.$1\frac{1}{2}$ cups

B.$\frac{3}{8}$ cup

C.$1\frac{1}{4}$ cups

D.2 cups

Explanation: To find the unit rate in cups per batch, divide $\frac{3}{4}$ by $\frac{1}{2}$: $\frac{3}{4} \div \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = 1\frac{1}{2}$ cups per batch.

2A remote-controlled car travels $\frac{1}{3}$ mile in $\frac{1}{6}$ minute. What is the speed of the car in miles per minute?

A.2 miles per minute

B.$\frac{1}{18}$ mile per minute

C.$\frac{1}{2}$ mile per minute

D.3 miles per minute

Explanation: Speed is distance divided by time: $\frac{1}{3} \div \frac{1}{6} = \frac{1}{3} \times \frac{6}{1} = \frac{6}{3} = 2$ miles per minute.

3The table below shows a proportional relationship between $x$ and $y$: | $x$ | $y$ | |---|---| | 2 | 10 | | 4 | 20 | | 6 | 30 | What is the constant of proportionality ($k = \frac{y}{x}$)?

A.5

B.$\frac{1}{5}$

C.8

D.10

Explanation: The constant of proportionality is $k = \frac{y}{x}$. For each pair: $\frac{10}{2} = 5$, $\frac{20}{4} = 5$, and $\frac{30}{6} = 5$.

4A proportional relationship is defined by the equation $y = 7.5x$. What is the value of $y$ when $x = 8$?

A.60

B.56

C.15.5

D.60.5

Explanation: Substitute $x = 8$ into the equation: $y = 7.5 \times 8 = 60$.

5Julian leaves a 15% tip on a restaurant bill of USD 40.00. How much tip does Julian leave?

A.USD 6.00

B.USD 4.00

C.USD 15.00

D.USD 46.00

Explanation: Calculate 15% of USD 40.00: $0.15 \times 40 = 6.00$, so the tip is USD 6.00.

6A receipt applies a 6% sales-tax rate to a USD 25.00 shirt. What is the amount of sales tax added?

A.USD 1.50

B.USD 0.60

C.USD 2.50

D.USD 26.50

Explanation: The sales tax is 6% of USD 25.00: $0.06 \times 25 = 1.50$, so the tax is USD 1.50.

7Mason deposits USD 500 in an account earning 4% simple annual interest. How much interest does it earn after 2 years?

A.USD 40.00

B.USD 20.00

C.USD 540.00

D.USD 80.00

Explanation: Simple interest formula: $I = P \cdot r \cdot t = 500 \times 0.04 \times 2 = $40.00$.

8A jacket priced at USD 80.00 is marked down by 25%. What is the discount amount?

A.USD 20.00

B.USD 60.00

C.USD 25.00

D.USD 15.00

Explanation: The discount is 25% of USD 80.00: $0.25 \times 80 = 20$, or USD 20.00.

9A painter paints $\frac{2}{5}$ of a wall in $\frac{1}{4}$ of an hour. At this rate, how many walls can the painter paint in 1 hour?

A.$1\frac{3}{5}$ walls

B.$\frac{1}{10}$ wall

C.$\frac{5}{8}$ wall

D.2 walls

Explanation: Unit rate is $\frac{2}{5} \div \frac{1}{4} = \frac{2}{5} \times \frac{4}{1} = \frac{8}{5} = 1\frac{3}{5}$ walls per hour.

10Store A sells 12 ounces for USD 3.60; Store B sells 16 ounces for USD 4.32. Which has the lower unit price, and by how much?

A.Store B by USD 0.03 per ounce

B.Store A by USD 0.03 per ounce

C.Store B by USD 0.72 per ounce

D.Both stores have the same unit price

Explanation: Store A costs USD 0.30 per ounce and Store B costs USD 0.27 per ounce. Store B is cheaper by USD 0.03 per ounce.

About the KSA Math Grade 7 Exam

Kentucky Summative Assessment Mathematics — Grade 7 measures the Kentucky Academic Standards for Mathematics. This local 100-question bank is an English-language MCQ study adaptation. It does not replace worked solutions, modeling, technology-enhanced tasks, or constructed responses. It is not an official translation, format simulation, or substitute for the KSA.

Exam sponsor: Kentucky Department of Education (KDE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The official assessment is administered online at school and uses selected-response, technology-enhanced, and extended-response items, including quantitative reasoning and modeling. No separate assignment, oral examination, practical examination, or case study is required; extended-response and technology-enhanced items remain part of the official assessment.

Time Limit

120 KDE-recommended minutes across 2 parts; this is recommended testing time rather than a candidate-selected appointment limit.

Passing Score

KSA is not a certification exam and has no single pass mark. Results use four performance levels: Novice, Apprentice, Proficient, and Distinguished.

Exam / Certification Fees

No separate student fee; Kentucky's public-school accountability assessment is state funded.

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

20–25%

Ratios & Proportional Relationships