Free Practice Questions for KSA Math Grade 4

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Sample KSA Math Grade 4 Practice Questions

Try these sample questions to review concepts for the KSA Math Grade 4 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which equation correctly represents the statement: '48 is 6 times as many as 8'?

A.$48 = 6 \times 8$

B.$48 = 6 + 8$

C.$48 \div 6 = 42$

D.$48 - 8 = 6$

Explanation: Multiplicative comparison uses multiplication to state how many times larger one quantity is than another. '48 is 6 times as many as 8' translates directly to $48 = 6 \times 8$.

2A winter hat costs $12. A winter coat costs 4 times as much as the hat. Which equation can be used to find the cost of the coat, $c$?

A.$c = 12 \times 4$

B.$c = 12 + 4$

C.$c = 12 \div 4$

D.$c = 12 - 4$

Explanation: Since the coat costs '4 times as much' as the $12 hat, you multiply the hat's cost by 4 to get $c = 12 \times 4 = 48$.

3Sarah picked 24 apples at an orchard in Lexington. This was 3 times as many apples as Mark picked. How many apples did Mark pick?

A.8 apples

B.72 apples

C.21 apples

D.27 apples

Explanation: If Sarah's 24 apples are 3 times as many as Mark's, then Mark's apples multiplied by 3 equals 24 ($3 \times m = 24$). Dividing $24 \div 3 = 8$ apples.

4A red ribbon is 45 centimeters long. It is 5 times as long as a blue ribbon. How long is the blue ribbon?

A.9 centimeters

B.40 centimeters

C.50 centimeters

D.225 centimeters

Explanation: Let $b$ be the length of the blue ribbon. The red ribbon is 5 times as long, so $5 \times b = 45$. Divide $45 \div 5 = 9$ cm.

5Marcus saved $15. His older sister saved 6 times as much money as Marcus. How much money did his sister save?

A.$90

B.$21

C.$75

D.$80

Explanation: To find 6 times as much as $15, multiply $15 \times 6 = 90$. His sister saved $90.

6An elementary school in Louisville bought 4 boxes of pencils with 25 pencils in each box, and 3 boxes of pens with 50 pens in each box. How many writing utensils did the school buy in total?

A.250

B.175

C.200

D.300

Explanation: First, find total pencils: $4 \times 25 = 100$. Next, find total pens: $3 \times 50 = 150$. Add them together: $100 + 150 = 250$.

7There are 135 fourth-grade students going on a field trip to the Kentucky State Capitol. Each school bus can carry up to 40 students. What is the minimum number of buses needed to take all students?

A.4 buses

B.3 buses

C.5 buses

D.3 buses with 15 left over

Explanation: Divide total students by bus capacity: $135 \div 40 = 3$ with a remainder of 15. Since 15 students still need transportation, a 4th bus is required.

8A bakery baked 240 cookies. They packaged the cookies into boxes of 8 cookies each. By noon, the bakery sold 22 boxes. How many boxes of cookies remain unsold?

A.8 boxes

B.30 boxes

C.12 boxes

D.18 boxes

Explanation: First find total boxes made: $240 \div 8 = 30$ boxes. Subtract sold boxes: $30 - 22 = 8$ unsold boxes.

9Maya had $85. She bought 3 books that cost $14 each. Which equation can be used to find $m$, the amount of money Maya has left?

A.$m = 85 - (3 \times 14)$

B.$m = 85 + (3 \times 14)$

C.$m = (85 - 3) \times 14$

D.$m = 85 \div (3 \times 14)$

Explanation: The total cost of the books is $3 \times 14 = 42$. To find remaining money, subtract total cost from starting money: $m = 85 - (3 \times 14) = 85 - 42 = 43$.

10A Kentucky apple orchard harvested 392 pounds of Fuji apples and 208 pounds of Honeycrisp apples. About how many total pounds of apples were harvested, rounded to the nearest hundred?

A.600 pounds

B.500 pounds

C.700 pounds

D.800 pounds

Explanation: Round 392 to the nearest hundred $\rightarrow 400$. Round 208 to the nearest hundred $\rightarrow 200$. Estimated total $= 400 + 200 = 600$ pounds. (Exact sum is $392 + 208 = 600$).

About the KSA Math Grade 4 Exam

Kentucky Summative Assessment Mathematics — Grade 4 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.

15–20%

Operations & Algebraic Thinking