FREE 5th Grade PARCC Math Practice Test
TL;DR: Even though PARCC officially retired, its question style still shows up in NJSLA, MCAP, IAR, and other state tests that grew from it. Give your 5th grader this free practice test for an honest read: 20 questions at PARCC-style difficulty, with worked explanations so you can sit together and review every answer. By the end you’ll know which topics need another round of practice before the real assessment.
Key takeaways:
- 20 multiple-choice questions at PARCC grade 5 difficulty.
- PARCC has been retired in most states, many replaced it with state-specific CCSS-aligned tests.
- Practice still helps for any grade 5 CCSS-aligned state test (SBAC, NJSLA, MCAP, IAR, etc.).
- No calculator allowed at grade 5 PARCC Math.
- Worked solutions for every problem so you can review with your child.
For this practice test, we’ve selected 20 real questions from past exams for your student’s PARCC Practice test. Your student will have the chance to try out the most common 5th Grade PARCC Math questions. For every question, there is an in-depth explanation of how to solve the question and how to avoid mistakes next time.
Use our free 5th Grade PARCC Math practice tests and study resources (updated for 2026) to help your students ace the 5th Grade PARCC Math test! Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice.
10 Sample 5th Grade PARCC Math Practice Questions
1- How long is the line segment shown on the number line below?

A. 6
B. 7
C. 8
D. 9
2- If a rectangle is 30 feet by 45 feet, what is its area?
A. 1350
B. 1250
C. 1000
D. 870
3- If a vehicle is driven 32 miles on Monday, 35 miles on Tuesday, and 29 miles on Wednesday, what is the average number of miles driven each day?
A. 32
B. 33
C. 34
D. 35
4- Peter traveled 120 miles in 4 hours and Jason traveled 160 miles in 8 hours. What is the ratio of the average speed of Peter to average speed of Jason?
A. 3: 2
B. 2: 3
C. 5: 9
D. 5: 6
5- If \(x=- 8\), which equation is true?
A. \(x(2x-4)=120\)
B. \(8 (4-x)=96\)
C. \(2 (4x+6)=79\)
D. \(6x-2=-46\)
6- A circle has a diameter of 8 inches. What is its approximate circumference?
(\(π = 3.14\))
A. 6.28 inches
B. 25.12 inches
C. 34.85 inches
D. 35.12 inches
7- A woman owns a dog walking business. If 3 workers can walk 9 dogs, how many dogs can 5 workers walk?
A. 13
B. 15
C. 17
D. 19
8- What are the coordinates of the intersection of x, axis and the y, axis on a coordinate plane?
A. \((5, 5)\)
B. \((1, 1)\)
C. \((0, 0)\)
D. \((0, 11)\)
9- Jack added 19 to the product of 16 and 26. What is this sum?
A. 61
B. 330
C. 435
D. 135
10- Joe makes $4.75 per hour at his work. If he works 8 hours, how much money will he earn?
A. $32.00
B. $34.75
C. $36.50
D. $38.00
11- Which of the following is an obtuse angle?
A. 89\(^\circ\)
B. 55\(^\circ\)
C. 143\(^\circ\)
D. 235\(^\circ\)
12- What is the value of \(6 – 3 \frac{4}{9}\)?
A. \(\frac{23}{9}\)
B. \(3\frac{4}{9}\)
C. \(-\frac{1}{9}\)
D. \(\frac{42}{9}\)
13- The bride and groom invited 220 guests for their wedding. 190 guests arrived. What percent of the guest list was not present?
A. \(90\%\)
B. \(20\%\)
C. \(23.32\%\)
D. \(13.64\%\)
14- Frank wants to compare these two measurements.
\(18.023 kg \space ……. \space 18,023 g\)
Which symbol should he use?
A. \(<\)
B. \(>\)
C. \(≠\)
D. \(=\)
15- Aria was hired to teach three identical 5th grade math courses, which entailed being present in the classroom 36 hours altogether. At $25 per class hour, how much did Aria earn for teaching one course?
A. $50
B. $300
C. $600
D. $1400
16- In a classroom of 60 students, 22 are male. What percentage of the class is female?
A. \(51\%\)
B. \(59\%\)
C. \(63\%\)
D. \(73\%\)
17- In a party, 6 soft drinks are required for every 9 guests. If there are 171 guests, how many soft drinks are required?
A. 9
B. 27
C. 114
D. 171
18- While at work, Emma checks her email once every 90 minutes. In 9 hours, how many times does she check her email?
A. 4 Times
B. 5 Times
C. 6 Times
D. 7 Times
19- In a classroom of 44 students, 18 are male. About what percentage of the class is female?
A. \(63\%\)
B. \(51\%\)
C. \(59\%\)
D. \(53\%\)
20- A florist has 516 flowers. How many full bouquets of 12 flowers can he make?
A. 40
B. 41
C. 43
D. 45
Best 5th Grade PARCC Math Exercise Resource for 2026
Answers:
1- D
The line segment is from 1 to\( -8\). Therefore, the line is 9 units.
\(1 –(-8)= 1+8=9\)
2- A
Use area of rectangle formula.
Area \(=\) length \(×\) width \(⇒ A = 30 × 45 ⇒ A = 1,350\)
3- A
\(average (mean) = \frac{sum \space of \space terms}{number \space of \space terms}⇒ average= \frac{32+35+29}{3}⇒ average = 32\)
4- A
Peter’s speed \(= \frac{120}{4}= 30\)
Jason’s speed \(= \frac{160}{8}=20\)
\(\frac{The \space average \space speed \space of \space peter}{The \space average \space speed \space of \space Jason}=\frac{30}{20}\)
equals to: \(\frac{3}{2}\)Or 3: 2
5- B
Plug in \(x=- 8\) in each equation.
\(x(2x-4)=120→(-8)(2(-8)-4)=(-8)×(-16-4)=160\)
\(8 (4-x)=96→8(4-(-8)=8(12)=96\)
\(2 (4x+6)=79→2(4(-8)+6)=2(-32+6)=-52\)
\(6x-2=-46→6(-8)-2=-48-2=-50\)
Only option B is correct.
6- B
The diameter of the circle is 8 inches. Therefore, the radius of the circle is 4 inches.
Use circumference of circle formula.
\(C = 2πr ⇒ C = 2 × 3.14 × 4 ⇒ C = 25.12\)
7- B
3 workers can walk 9 dogs ⇒ 1 workers can walk 3 dogs.
5 workers can walk \((5 × 3) 15\) dogs.
8- C
The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.
9- C
\(19 + (16 × 26) = 19 + 416 = 435\)
10- D
1 hour: \($4.75\)
8 hours: \(8 × $4.75 = $38\)
11- C
An obtuse angle is an angle of greater than 90\(^\circ\) and less than 180\(^\circ\). From the options provided, only option C (143 degrees) is an obtuse angle.
12- A
\(6 – 3\frac{4}{9}=\frac{54}{9}-\frac{31}{9}=\frac{23}{9}\)
13- D
The number of guests that are not present are \((220 – 190) 30\) out of \(220 =\frac{30}{220}\)
Change the fraction to percent:
\(\frac{30}{220}×100\%=13.64\%\)
14- D
Each kilogram is 1,000 grams.
18,023 grams \(= (\frac{18,023}{1,000}) =18.023\) kilograms.
Therefore, two amounts provided are equal.
15- B
Aria teaches 36 hours for three identical courses. Therefore, she teaches 12 hours for each course. Aria earns $25 per hour. Therefore, she earned $300 (\(12 × 25\)) for each course.
16- C
The number of female students in the class is \((60 – 22) 38\) out of \(60 = \frac{38}{60}\)
Change the fraction to percent:
\(\frac{38}{60} 3 ×100\%=63\%\)
17- C
Write a proportion and solve.
\(\frac{6 \space soft \space drinks}{9 \space guests}=\frac{x}{171 \space guests}\)
\(x =\frac{171×6}{9}⇒x=114\)
18- C
Every 90 minutes Emma checks her email.
In 9 hours (540 minutes), Emma checks her email \((540 ÷ 90) 6\) times.
19- C
There are 44 students in the class. 18 of the are male and 26 of them are female.
26 out of 44 are female. Then:
\(\frac{26}{44}=\frac{x}{100}→2,600=44x→x=2,600÷44≈59\%\)
20- C
Divide the number flowers by \(12: 516 ÷ 12 = 43\)
Looking for the best resource to help you succeed on the 5th Grade PARCC Math test?
The Best Books to Ace the 5th Grade PARCC Math Test
Recommended EffortlessMath Books
For a workbook that covers every grade 5 PARCC-style topic, the Grade 5 Common Core Math Exercise Book walks through each standard with worked examples your child can follow. For more full-length practice tests at grade 5 difficulty, see the 10 Full-Length Grade 5 Math Practice Tests.
Frequently Asked Questions
What math concepts are taught in 5th grade?
The core concepts are place value to the thousandths, operations with decimals, adding and subtracting fractions with unlike denominators, multiplying fractions, volume, and the coordinate plane. PARCC-style tests and successors such as NJSLA and MCAP test these Common Core concepts in multi-step problems, for example finding the volume of a box 4 cm by 3 cm by 5 cm: 4 × 3 × 5 = 60 cubic centimeters.
Are there free grade 5 math worksheets that help with PARCC-style tests?
Yes, and they work best when matched to one skill. After your child finishes this PARCC-style practice test, circle the missed questions, name the skill behind each one (say, comparing 0.45 and 0.405), and print a worksheet on just that skill. Short sets of 10 to 15 problems keep practice focused without wearing your fifth grader out.
Where can I find free grade 5 math exams in PDF?
New Jersey and Maryland post practice tests and released items for their PARCC successor tests, NJSLA and MCAP, and many can be printed. Grade 5 PARCC-style math is done without a calculator, so printed exams are good practice for showing work by hand, from long division to fraction sums like 1/2 + 1/3 = 5/6.
Are there free grade 5 PARCC math past papers?
PARCC itself no longer produces new tests, but older released PARCC grade 5 math items are still around, and the successor tests publish their own released questions. They pair well with this practice test because the grade 5 Common Core content has not changed. If you only have time for one source, choose released items from the test your state gives now.
Where can I find grade 5 math revision papers with answers?
Choose practice with explanations, not only an answer key. Every question on this PARCC-style test includes a worked solution. After reading it, have your child redo the missed problem from scratch, for instance recomputing 30 × 45 = 1,350 square feet for the rectangle question. Redoing a problem teaches far more than rereading the solution.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
- How to divide fractions
- Multiply and divide decimals
- Order of operations (PEMDAS)
- Area and perimeter
- Place value
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