Top 10 5th Grade Common Core Math Practice Questions

The best way to prepare your students for the 5th-grade Common Core Math test is to work through as many 5th-grade Common Core Math practice questions as possible. Here are the top 10 5th-grade Common Core Math practice questions to help students review the most important 5th-grade Common Core Math concepts. These 5th-grade Common Core Math practice questions are designed to cover mathematics concepts and topics that are found on the actual test. The questions have been fully updated to reflect the latest 2026 5th-grade Common Core guidelines. Answers and full explanations are provided at the end of the post. For additional educational resources, visit the U.S. Department of Education website.

Let your students start their Common Core Math test prep journey right now with these sample 5th-grade Common Core Math questions.

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xpression is equal to \(\frac{3}{11}\) ? For education statistics and research, visit the National Center for Education Statistics.

A. \(3 – 11\) For education statistics and research, visit the National Center for Education Statistics.

B. \(3 ÷ 11\) For education statistics and research, visit the National Center for Education Statistics.

C. \(3 × 11\) For education statistics and research, visit the National Center for Education Statistics.

D. \(\frac{11}{3}\) For education statistics and research, visit the National Center for Education Statistics.

3- If \(A = 20\), then which of the following equations are correct? For education statistics and research, visit the National Center for Education Statistics.

A. \(A + 20 = 40\) For education statistics and research, visit the National Center for Education Statistics.

B. \(A ÷ 20 = 40\) For education statistics and research, visit the National Center for Education Statistics.

C. \(20 × A = 40\) For education statistics and research, visit the National Center for Education Statistics.

D. \(A – 20 = 40\) For education statistics and research, visit the National Center for Education Statistics.

4- How long does a 425-mile trip take moving at 50 miles per hour (mph)? For education statistics and research, visit the National Center for Education Statistics.

A. 4 hours For education statistics and research, visit the National Center for Education Statistics.

B. 6 hours and 24 minutes For education statistics and research, visit the National Center for Education Statistics.

C. 8 hours and 24 minutes For education statistics and research, visit the National Center for Education Statistics.

D. 8 hours and 30 minutes For education statistics and research, visit the National Center for Education Statistics.

5- 50 is what percent of 40? For education statistics and research, visit the National Center for Education Statistics.

A. \(20 \%\) For education statistics and research, visit the National Center for Education Statistics.

B. \(25 \%\) For education statistics and research, visit the National Center for Education Statistics.

C. \(125 \%\) For education statistics and research, visit the National Center for Education Statistics.

D. \(150 \%\) For education statistics and research, visit the National Center for Education Statistics.

6- The perimeter of the trapezoid below is 52. What is its area? _________ For education statistics and research, visit the National Center for Education Statistics.

7- The area of a circle is \(64π\). What is the circumference of the circle? For education statistics and research, visit the National Center for Education Statistics.

A. \(8 π\)

B. \(16 π\)

C. \(32 π\)

D. \(64 π\)

8- A rope weighs 800 grams per meter of length. What is the weight in kilograms of 12.2 meters of this rope? (1 kilograms = 1000 grams)

A. 0.0976

B. 0.976

C. 9.76

D. 9760

9- Solve.
\(\frac{1}{2} + \frac{4}{5} – \frac{3}{10} = ?\)

A. \(\frac{9}{10}\)

B. \(\frac{2}{10}\)

C. 1

D. 2

10- How many \(\frac{1}{4}\) cup servings are in a package of cheese that contains \(6 \frac{1}{2}\) cups altogether?_________

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Answers:

2- B
\(\frac{3}{11}\) means 3 is divided by 11. The fraction line simply means division or \(÷\). Therefore, we can write \(\frac{3}{11}\) as \(3 ÷ 11\).

3- A
Plug in 20 for A in the equations. Only option A works.
\(A+20=40\)
\(20+20=40\)

4- D
50 miles: 1 hour
425 miles : \(425 ÷ 50 = 8.5\) hours

5- C
Use the percent formula:
\(part =\frac{percent}{100}× whole\)
\(50=\frac{percent}{100}× 40⇒ 50 = \frac{percent ×40}{100}⇒ 50 = \frac{percent ×4}{10}\)
Multiply both sides by 10.
500 = percent \(×4\), divide both sides by 4.
125 = percent

6- 104
First, find the missing side of the trapezoid. The perimeter of the trapezoid below is 52. Therefore, the missing side of the trapezoid (its height) is: \(52-12-18-14=52-44=8\)
Area of a trapezoid: \(A = \frac{1}{2} h (b_{1} + b_{2}) = \frac{1}{2} (8) (12 + 14) = 104\)

7- B
Use the area and circumference of a circle formula.
Area of a circle = \(πr^2 ⇒ 64π = πr^2 ⇒ r= 8\)
Circumference of a circle = \(2πr ⇒ C = 2×8×π ⇒ C =16π\)

8- C
1 meter of the rope = 800 grams 12.2 meter of the rope = \(12.2 × 800 =9,760 \)grams = 9.76 kilograms

9- C
\(\frac{1}{2} + \frac{4}{5} – \frac{3}{10} = \frac{(5×1)+(2×4)-(1×3)}{10} =\frac{10}{10}=1\)

10- 26
To solve this problem, divide \(6\frac{1}{2}\) by \(\frac{1}{4}\).
\(6\frac{1}{2}÷\frac{1}{4}=\frac{13}{2}÷\frac{1}{4}=\frac{13}{2}×\frac{4}{1}=26\)

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