FREE 5th Grade NYSE Math Practice Test
TL;DR: Take a free 5th Grade New York State (NYSE) Math practice test. 20 questions modeled on the real NYSE Grade 5 Math assessment aligned to the Next Generation Learning Standards, with worked answer explanations so you can review with your child.
Key takeaways:
- 20 multiple-choice questions at real Grade 5 NYSE Math difficulty.
- Aligned to the New York State Next Generation Learning Standards for grade 5.
- No calculator is allowed at grade 5 NYSE Math.
- Two testing sessions of about 80-90 minutes each, scheduled on separate days.
- 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 students’ NYSE Practice test. Your student will have the chance to try out the most common 5th Grade NYSE 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 NYSE Math practice tests and study resources (updated for 2026) to help your students ace the 5th Grade NYSE 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. For education statistics and research, visit the National Center for Education Statistics.
The Absolute Best Book to Ace the 5th Grade NYSE Math Test
10 Sample 5th Grade NYSE 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 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 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- At 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 NYSE Math Exercise Resource for 2026
Common Core Math Exercise Book for Grade 5 Student Workbook and Two Realistic Common Core Math Tests
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 the circumference of a 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, 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 a 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 \(12: 516 ÷ 12 = 43\)
Looking for the best resource to help you succeed on the 5th Grade NYSE Math test?
The Best Books to Ace the 5th Grade NYSE Math Test
Recommended EffortlessMath Books
For a workbook that covers every grade 5 New York math topic, the Grade 5 Common Core Math Exercise Book walks through each standard with worked examples your child can follow. For more grade 5 practice tests, see the 10 Full-Length Grade 5 Math Practice Tests.
Frequently Asked Questions
How many questions are on the 5th Grade NYSE Math test?
The operational New York State Grade 5 Math test has about 38-44 multiple-choice and short-response items split across two sessions. This free practice gives your child 20 sample questions covering the same topics in one focused 30-40 minute session.
Is a calculator allowed on the 5th Grade NYSE Math?
No. Calculators are not permitted on the Grade 5 NYSE Math test. The content emphasizes fluency with multi-digit multiplication, decimal arithmetic, and fraction operations — all of which the Next Generation Standards say should be done by hand.
How long is the 5th Grade NYSE Math test?
NYSED schedules two sessions of about 80-90 minutes each, usually on separate days. The test is untimed within each session, so your child gets the full session time even if peers finish earlier. Encourage them to use the time to check work.
How is the NYSE Grade 5 Math scored?
Raw scores convert to a scaled score in roughly the 470-825 range, which maps to four performance levels: Level 1 (Below Standard), Level 2 (Partially Meets), Level 3 (Meets), or Level 4 (Exceeds). Most schools target Level 3 or higher.
What topics are on the 5th Grade NYSE Math?
Operations and algebraic thinking (numerical expressions with parentheses), number and operations in base ten (place value with decimals, multi-digit multiplication, decimal arithmetic), fractions (adding/subtracting unlike denominators, multiplying, dividing unit fractions), measurement and data (volume, line plots, converting units), and geometry (coordinate plane, classifying 2D shapes).
Can my child retake the 5th Grade NYSE Math?
The state test is given once per spring. There’s no individual retake — students take the grade 6 NYSE Math the following spring. If your child misses the original date due to absence, a make-up is scheduled within the testing window.
How long should we prepare for the 5th Grade NYSE Math?
For most fifth graders, 5-7 weeks of practice at 20-25 minutes a day works well. If fraction operations are still shaky, spend the first 2 weeks on fraction arithmetic. Take this practice test first to spot the weakest topics before drilling them.
Is the 5th Grade NYSE Math aligned to Common Core?
New York retired the Common Core branding and adopted the Next Generation Learning Standards starting with the 2022-23 testing cycle. The grade 5 math content still aligns closely with CCSS 5.OA, 5.NBT, 5.NF, 5.MD, and 5.G — the standards were revised, not rewritten.
What’s the hardest part of the 5th Grade NYSE Math for most kids?
Three common stumbling blocks: dividing fractions (especially unit-fraction-by-whole-number), multiplying decimals with correct decimal placement, and volume word problems with composite figures. All three reward step-by-step work over shortcuts.
Where can I find more 5th Grade NYSE practice?
EffortlessMath has step-by-step lessons for every grade 5 Next Generation math standard, plus the grade 5 Common Core workbook (which covers the same content) and additional full-length grade 5 practice tests.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
Related to This Article
More math articles
- The Best Grade 5 Math Book for Arizona Students
- Top 10 PSAT 10 Math Practice Questions
- Identities of Complex Numbers
- 5th Grade SBAC Math FREE Sample Practice Questions
- Slope Fields Simplified: Understanding the Core of Differential Equations
- SAT Math Practice Test Questions
- 5 Best Classroom Speakers for Teachers in 2026
- How to Convert Repeating Decimals to Fractions? (+FREE Worksheet!)
- Top 10 Free Websites for ACCUPLACER Math Preparation
- Intelligent Math Puzzle – Challenge 86









What people say about "FREE 5th Grade NYSE Math Practice Test - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.