FREE 5th Grade MCAS Math Practice Test

For this practice test, we’ve selected 20 real questions from past exams for your students’ MCAS Practice test. Your student will have the chance to try out the most common 5th-grade MCAS 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 MCAS Math practice tests and study resources (updated for 2026) to help your students ace the 5th Grade MCAS 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.

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1- What is the length of 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 the 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 to 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 for 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 MCAS Math Exercise Resource for 2026

Answers:

2- A
Use the area of the 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 the circumference of the circle formula.
\(C = 2πr ⇒ C = 2 × 3.14 × 4 ⇒ C = 25.12\)

7- B
3 workers can walk 9 dogs ⇒ 1 worker 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, the 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 them 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 \(12: 516 ÷ 12 = 43\)

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Recommended EffortlessMath Books

For a workbook your child can use alongside this practice test, the 5th Grade MCAS Math for Beginners (resource currently unavailable) walks through every grade-5 Massachusetts standard with worked examples. For full MCAS prep with multiple practice tests, see the 5th Grade MCAS Math Test Prep Bundle (resource currently unavailable).

Frequently Asked Questions

What kind of math do 5th graders do?

Fifth graders in Massachusetts work on the grade 5 standards in the state’s Curriculum Framework: multi-digit multiplication, long division with two-digit divisors, all four operations with decimals, multiplying fractions and dividing with unit fractions, volume, and graphing points in the first quadrant. On the MCAS these skills show up in word problems, such as finding how many 0.25-liter cups fill a 2-liter jug (8 cups).

How can I get better at math in 5th grade?

Practice a little every day and focus on the skill that trips you up most. Take a practice test, sort your misses by topic, and spend a week on the weakest one before mixing topics again. Grade 5 MCAS math does not allow a calculator, so build speed with hand calculations like 46 × 23 = 1,058, and estimate first to catch careless slips.

Are there free grade 5 math worksheets for MCAS prep?

Yes. Free printable worksheets for single grade 5 skills, such as adding fractions with unlike denominators or finding the volume of a rectangular prism, pair well with MCAS prep. Choose worksheets for the topics your child missed on this practice test, and have them write out every step, because Next-Gen MCAS includes open-response items that can earn partial credit for shown work.

Can I find free grade 5 MCAS past papers?

Yes. The Massachusetts Department of Elementary and Secondary Education (DESE) posts released MCAS items for grade 5 math on its website, along with scoring guides. Try a handful of released questions after this practice test so your child sees the state’s real wording and open-response format. Check DESE for the most recent year’s release.

Where can I find grade 5 MCAS math practice papers with answers?

Every question on this free MCAS-style test comes with a worked answer, so your child can check both the result and the method. For open-response practice, DESE’s released items include sample student answers at different score points. Comparing a full-credit answer with a partial one teaches your child how much explanation the graders expect.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• How to multiply fractions
• How to divide fractions
• How to multiply decimals
• Order of operations (PEMDAS)
• How to find the area of a triangle