FREE 6th Grade NYSE Math Practice Test

The Absolute Best Book to Ace 6th Grade NYSE Math Test

Common Core Math Exercise Book for Grade 6 Student Workbook and Two Realistic Common Core Math Tests

Download

$29.99 Original price was: $29.99.$16.99Current price is: $16.99.

Rated 4.26 out of 5 based on 95 customer ratings

Satisfied 81 Students

10 Sample 6th Grade NYSE Math Practice Questions

1- There are 55 blue marbles and 143 red marbles. We want to place these marbles in some boxes so that there is the same number of red marbles in each box and the same number of blue marbles in each of the boxes. How many boxes do we need?

A. 8

B. 9

C. 10

D. 11

2- What is the value of the following expression?
\(2,205÷315\)

A. 5

B. 6

C. 7

D. 8

3- Solve the following equation.
\(112=22+x\)

A. \( x=-90\)

B. \( x=90\)

C. \( x=-134\)

D. \( x=134\)

4- Car A travels 221.5 km at a given time, while car B travels 1.2 times the distance car A travels at the same time. What is the distance car B travels during that time?

A. 222.7 km

B. 233.5 km

C. 241.5 km

D. 265.8 km

5- The perimeter of the trapezoid below is 38. What is its area?

A. 198 cm\(^2\)

B. 162 cm\(^2\)

C. 99 cm\(^2\)

D. 81cm\(^2\)

6- Which of the following expressions has the greatest value?

A. \( 3^1+12\)

B. \( 3^3-3^2\)

C. \( 3^4-60\)

D. \( 3^5-218\)

7- Alfred has \(x\) apples. Alvin has 40 apples, which is 15 apples less than the number of apples Alfred owns. If Baron has \(\frac{1}{5}\) times as many apples as Alfred has. How many apples does Baron have?

A. 5

B. 11

C. 55

D. 275

8- In the following triangle find \(α\).

A. \(100^\circ\)

B. \(90^\circ\)

C. \(60^\circ\)

D. \(30^\circ\)

9- The price of a laptop is decreased by \(15\%\) to $425. What is its original price?

A. $283

B. $430

C. $500

D. $550

10- Find the perimeter of the shape in the following figure? (all angles are right angles)

A. 21

B. 22

C. 24

D. 20

11- What are the values of mode and median in the following set of numbers?
\(1,3,3,6,6,5,4,3,1,1,2\)

A. Mode: 1, 2, Median: 2

B. Mode: 1, 3, Median: 3

C. Mode: 2, 3, Median: 2

D. Mode: 1, 3, Median: 2.5

12- Which expression equivalent to \(x × 92\)?

A. \((x×90)+2\)

B. \(x×9×2\)

C. \((x×90)+(x×2)\)

D. \((x×90)+2\)

13- The ratio of pens to pencils in a box is 3 to 5. If there are 96 pens and pencils in the box altogether, how many more pens should be put in the box to make the ratio of pens to pencils 1: 1?

A. 22

B. 23

C. 24

D. 25

14- If point A is placed at \(-\frac{24}{3}\) on a number line, which of the following points has a distance equal to 5 from point A?

A. \(-13\)

B. \(-3\)

C. \(-2\)

D. A and B

15- Which of the following shows the numbers in increasing order?

A. \(\frac{3}{13}, \frac{4}{11}, \frac{5}{14}, \frac{2}{5}\)

B. \(\frac{3}{13}, \frac{5}{14}, \frac{4}{11}, \frac{2}{5}\)

C. \(\frac{3}{13}, \frac{5}{14}, \frac{2}{5}, \frac{4}{11}\)

D. \(\frac{5}{14}, \frac{3}{13}, \frac{2}{5}, \frac{4}{11}\)

16- If \(x=- 4\), which of the following equations is true?

A. \(x(3x-1)=50\)

B. \(5(11-x^2 )=-25\)

C. \(3(-2x+5)=49\)

D. \(x(-5x-19)=-3\)

17- What is the missing prime factor of the number 450?
\(450=2^1×3^2×…\) _________

18- What is the perimeter of the following shape? (it’s a right triangle)

A. 14 cm

B. 18 cm

C. 24 cm

D. 32 cm

19- 65 is what percent of 50?

A. \(50 \%\)

B. \(77 \%\)

C. \(130 \%\)

D. \(140 \%\)

20- Which of the following expressions has a value of \(-23\)?

A. \(-10+(-8)+ \frac{5}{2}×(-2)\)

B. \(5×3+(-2)×18\)

C. \(-10+6×8÷(-4)\)

D. \((-3) × (-7) + 2\)

Best 6th Grade NYSE Math Workbook Resource for 2026

Answers:

2- C
\(2205÷315=\frac{2205}{315}=\frac{441}{63}=\frac{147}{21}= 7\)

3- B
\(112=22+x \)
Subtract 22 from both sides of the equation. Then:
\(x=112-22=90\)

4- D
Distance that car B travels \(=1.2 ×\) distance that car A travels
=\(1.2×221.5=265.8 \) km

5- D
The perimeter of the trapezoid is 38.
Therefore, the missing side (height) is \(= 38 – 8 – 10 – 11 = 9\)
Area of the trapezoid: \(A = \frac{1}{2} h (b_1 + b_2) = \frac{1}{2}1 (9) (8 + 10) = 81\)

6- D
A. \(3^1+12=3+12=15\)
B. \(3^3-3^2=27-9=18\)
C. \(3^4-60=81-60=21\)
D. \(3^5-218=243-218=25\)

7- B
Alfred has \(x\) apple, which is 15 apples more thanthe number of apples Alvin owns. Therefore:
\(x-15=40→x=40+15=55\)
Alfred has 55 apples.
Let \(y\) be the number of apples that Baron has. Then: \(y=\frac{1}{5}×55=11\)

8- A
Complementary angles add up to 180 degrees.
\( β+150^\circ=180^\circ→β=180^\circ-150^\circ=30^\circ\)
The sum of all angles in a triangle is 180 degrees. Then:
\(α+β+50^\circ=180^\circ→α+30^\circ+50^\circ=180^\circ\)
\(→α+80^\circ=180^\circ→α=180^\circ-80^\circ=100^\circ\)

9- C
Let \(x\) be the original price.
If the price of a laptop is decreased by \(15\%\) to $425, then:
\(85 \% \space of \space x=425⇒ 0.85x=425 ⇒ x=425÷0.85=500\)

10- C
Let \(x\) and \(y\) be two sides of the shape. Then:
\(x+1=1+1+1→x=2\)
\(y+6+2=5+4→y+8=9→y=1\)
Then, the perimeter is:
\(1+5+1+4+1+2+1+6+2+1=24\)

11- B
First, put the numbers in order from least to greatest: \(1, 1, 1, 2, 3, 3, 3, 4, 5, 6, 6\)
The Mode of the set of numbers is: 1 and 3 (the most frequent numbers)
Median is: 3 (the number in the middle)

12- C
\(x×92=x×(90+2)=(x×90)+(x×2)\)

13- C
The ratio of pens to pencils is \(3: 5\). Therefore, there are 3 pens out of all 8 pens and pencils. To find the answer, first dived 96 by,8 then multiply the result by 3.
\(96÷8=12→12×3=36\)
There are 36 pens and 60 pencils \((96-36)\). Therefore, 24 more pens should be put in the box to make the ratio \(1: 1\)

14- D
If the value of point A is greater than the value of point B, then the distance between the two points on the number line is: value of A- value of B
A. \(-\frac{24}{3}-(-13)=-8+13=5=5\)
B. \(-3-(-\frac{24}{3})=-3+8=5=5\)
C. \(-2-(-\frac{24}{3})=-2+8=6≠5\)

15- B
\(\frac{3}{13}≅0.23, \frac{5}{14}≅0.357, \frac{4}{11}≅0.36, \frac{2}{5}=0.4\)

16- B
Plugin the value of \(x\) in the equations. \(x = -4\), then:
A.\(x(3x-1)=50→-4(3(-4)-1)=-4(-12-1)=-4(-13)=52≠50\)
B. \(5(11-x^2 )=-25→5(11-(-4)^2 )= 5(11-16)=5(-5)=-25\)
C. \(3(-2x+5)=49→3(-2(-4)+5)=3(8+5)=39≠49\)
D. \(x(-5x-19)=-3→-4(-5(-4)-19=-4(20-19)=-4≠-3\)

17- 5
Let \(x\) be the missing prime factor of 450.
\(450= 2 × 3 × 3 × x ⇒ x =\frac{450}{18} ⇒ x = 25=5×5\)

18- C
Use the Pythagorean theorem to find the hypotenuse of the triangle.
\(a^2+b^2=c^2→6^2+8^2=c^2→36+64=c^2→100=c^2→c=10\)
The perimeter of the triangle is: \(6+8+10=24\)

19- C
Use the percent formula:
\(Part = \frac{percent}{100} × whole\)
\(65= \frac{percent}{100} × 50⇒ 65 = \frac{percent ×50}{100}⇒ 65=\frac{percent ×5}{10}\)
Multiply both sides by 10.
\(650 =percent ×5, \space divide \space both \space sides \space by \space 5.\)
130 = percent
The answer is \(130\%\)

20- A
Let’s check the options provided.
A. \(-10+(-8)+ (\frac{5}{2})×(-2)=-10+(-8)+(-5)=-10-13=-23\)
B. \(5×3+(-2)×18=15+(-38)=-21\)
C. \(-10+6×8÷(-4)=-10+48÷(-4)=-10-12=-22\)
D. \((-3)× (-7)+ 2=21+2=23\)

Looking for the best resource to help you succeed on the Grade 6 NYSE Math test?

The Best Books to Ace the 6th Grade NYSE Math Test

Recommended EffortlessMath Books

For a workbook your child can use alongside this practice test, the NY State Grade 6 Math Workbook covers every Next Generation standard with worked examples at grade level. For full state-test prep with multiple practice tests, see the NY State Grade 6 Math Test Prep Bundle.

Frequently Asked Questions

What math is on the 6th-grade NYSE test?

The NY State grade 6 math test covers five domains: Ratios and Proportional Relationships (ratios, unit rates, percents), The Number System (dividing fractions, dividing multi-digit numbers, plotting on the coordinate plane), Expressions and Equations (one-variable equations and inequalities, evaluating expressions), Geometry (area, surface area, volume), and Statistics and Probability (measures of center, displays of data).

Is a calculator allowed on the NYSE grade 6?

No. Calculators are NOT allowed on the NY State grade 6 math test. Starting in grade 7, students can use a four-function calculator. Starting in grade 8, scientific calculators are allowed. Grade 6 students need to handle all arithmetic — including dividing fractions and decimals — by hand.

How many questions are on the test?

The NY State grade 6 math test has about 27-30 questions split across two sessions. Roughly half are multiple choice; the rest are short-answer and extended-response items where students show work. Each session takes about 45-60 minutes.

How do you divide fractions?

Keep, change, flip. Keep the first fraction, change the division sign to multiplication, flip the second fraction (use its reciprocal). Example: \(\frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}\). Simplify at the end.

What’s a unit rate?

A unit rate compares two different units when one of them equals 1. Example: 120 miles in 3 hours = 40 miles per 1 hour (40 mph). Unit rates show up constantly in 6th-grade word problems — pricing per ounce, miles per gallon, dollars per hour. Practice converting any ratio to a per-1 form.

How is the NYSE scored?

Students get a scaled score and a performance level from 1 to 4. Level 1 is well below standards, Level 2 is partially meeting, Level 3 is proficient, and Level 4 means the student excels. Levels 3 and 4 mean your child is on grade level. The cut scores between levels are set by NYSED each year.

How long is the full NYSE math test?

About 90-120 minutes total, split across two consecutive school days. Day 1 typically has Book 1 (multiple choice, no manipulatives); Day 2 has Book 2 (short answer + extended response). Schools may stagger the schedule slightly, but no single sitting exceeds 70 minutes for grade 6.

What’s the hardest part of 6th-grade math?

For most students: (1) dividing fractions (especially word problems like “how many 1/4-cup servings are in 3 cups”), (2) the coordinate plane with negative coordinates (grade 6 introduces all four quadrants), and (3) writing and solving one-variable equations from word problems. Drill those three before doing timed practice.

How long should we prep for the NYSE math?

4-8 weeks at 20-30 minutes a day is enough for most kids near grade level. Start with a full-length diagnostic, identify the weakest topic, and spend half your practice time on that. In the final 2 weeks, do at least one full timed practice test under realistic conditions.

Where can I find more 6th-grade NYSE math practice?

EffortlessMath has the NY State Grade 6 Math Workbook covering every Next Generation standard with worked examples, plus the NYSE Grade 6 Math Test Prep Bundle with multiple full-length timed practice tests modeled on the real exam.

Related EffortlessMath Lessons

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

• How to divide fractions
• How to convert fractions to decimals
• Order of operations (PEMDAS)
• How to solve linear equations
• How to find the volume of a cylinder, cone, and sphere