K-5: Grade Level Math Placement Tests

Here is an example of 6 sample math problems for each grade level based on typical computational benchmarks:

Kindergarten:

1. Count the apples: 🍎🍎🍎🍎

2. What number comes after 5?

3. 2 + 3 = ?

4. What number is missing: 8, 9, __, 11

5. How many dogs? 🐕🐕

6. Which is bigger: 9 or 6?

First Grade:

1. Count to 87

2. 52 + 9 = ?

3. 36 - 8 = ?

4. What number is 10 more than 73?

5. Order these numbers from smallest to largest: 45, 31, 68

6. How many tens are in the number 64?

Second Grade:

1. 43 + 79 = ?

2. 63 - 18 = ?

3. What is 7 x 8?

4. What number divided by 10 is 9?

5. 456 + 322 = ?

6. There are 35 students. If they line up in 5 equal rows, how many students will be in each row?

Third Grade:

1. 438 + 545 = ?

2. 792 - 367 = ?

3. 6 x 342 = ?

4. 8,736 ÷ 8 = ?

5. Order these fractions from least to greatest: 1/2, 3/8, 5/6

6. Mr. Jones had $650. He spent $273. How much does he have left?

Fourth Grade:

1. 7,592 ÷ 32 = ?

2. 0.45 + 1.7 = ?

3. Simplify: (6x9) ÷ (3x2)

4. Convert 0.2 to a fraction

5. Order from least to greatest: 12%, 0.7, 3/4

6. A bag has 5 red, 6 green and 4 blue marbles. What fraction of the marbles are not red?

Fifth Grade:

1. 43,682 + 125,908 = ?

2. 675 ÷ 25 = ?

3. 4/5 of 160 = ?

4. Convert 0.875 to a fraction

5. Solve: (4x + 9) - (6x -2)

6. A swimming pool is 25 yards long, 12 yards wide and 3 feet deep. What is its volume in cubic feet?

Here are 8 sample math problems for each grade level:

Kindergarten:

1. Count the stars: ⭐️⭐️⭐️⭐️⭐️  

2. What number comes before 7?

3. 5 + 1 = ?

4. What number is missing: 3, 4, __ , 6

5. How many triangles? � triangle � triangle

6. Which is smaller: 8 or 3?

7. Circle the biggest number: 4     9     2

8. Count backwards from 10

First Grade:  

1. Count by 2s to 20

2. 43 + 8 = ?

3. 57 - 6 = ?

4. What is one more than 83?

5. Put these in order from largest to smallest: 33, 55, 22

6. How many tens are in 76?

7. 9 + __ = 15

8. Count the dimes: 🪙🪙🪙🪙🪙🪙🪙🪙🪙🪙

Second Grade:

1. 76 + 58 = ?

2. 85 - 39 = ?

3. 6 x 9 = ?

4. What number divided by 5 is 15?

5. 342 + 467 = ?

6. Sheila read 18 books. Tom read 9 books. How many books did they read together?

7. What is 3 less than 83?

8. Circle the fraction that shows one-fourth:

Third Grade:

1. 734 + 458 = ?

2. 982 - 491 = ?

3. 7 x 642 = ?

4. 6,004 ÷ 7 = ?

5. Put these fractions in order from greatest to least: 2/3, 1/4, 3/5

6. Jane spent $5.25 on a sandwich. She gave the cashier $10. How much change should she get back?

7. What is 40% of 25?

8. Draw a rectangle that is 5 units long and 2 units wide. What is the area?

Fourth Grade:

1. 8,264 ÷ 56 = ?

2. 1.7 + 4.83 = ?

3. Simplify: (8x7) ÷ (2x4)

4. Convert 45% to a decimal

5. Put these decimals in order from least to greatest: 0.7, 0.45, 0.2

6. A container has 8 red marbles, 9 blue marbles and 12 green marbles. What fraction of the marbles are blue?

7. 10% of what number is 150?

8. Factor: 36x + 12

Fifth Grade:

1. 76,403 + 58,982 = ?

2. 826 ÷ 34 = ?

3. 5/8 of 640 = ?

4. Convert 0.583 to a fraction

5. Solve: (6m - 3) - (2m + 9)

6. A swimming pool is 30 ft long, 15 ft wide and 5 ft deep. What is its volume in cubic feet?

7. Evaluate: 6^2 - (4^2 ÷ 2)

8. A bag contains 4 red, 5 blue and x green marbles. If there are 14 marbles total, what is x?Here is a math placement test with 10 questions per grade level, starting at 1st grade and going through 6th grade:

Grade 1

1. Count and write how many apples.

2. Write the missing number: 5, ___, 7

3. Circle the biggest number. 4 7 3

4. Add: 2 + 3 = ___

5. Subtract: 5 - 2 = ___

6. Which shape is a triangle?

7. Count by 2s: 2, ___, ___, ___, ___, 10

8. Circle the rectangle.

9. Draw a line 5 inches long.

10. Write the time. (example: 3:00)

Grade 2

1. Write the number sentence: 9 + 4 = ___

2. Subtract. Then check by adding: 8 - 3 = ___
Now check: ___ + ___ = ___

3. Write the missing numbers: 100, ___, ___, ___, 500

4. Which number is closer to 50? 43    47

5. Add:  36 + 25 = ___

6. Subtract: 57 - 12 = ___

7. Circle the cone.

8. Count by 5s. Write the next 3 numbers:   5, ___, ___, ___

9. Draw a rectangle. Label the length and width.

10. Measure the line segment. It is ____ inches.

Grade 3

1. Compare using >, < or =:  43 ___ 16

2. Add: 45 + 79 = ___

3. Subtract: 76 - 23 = ___

4. Multiply: 6 x 8 = ___

5. Divide: 18 ÷ 3 = ___

6. Name the fraction modeled:\

7. Tell whether 28 is even or odd.

8. Draw a circle and a square.

9. What is the perimeter of a rectangle 6 cm long and 4 cm wide?

10. Solve: y - 2 = 4

Grade 4

1. Round 379 to the nearest hundred.

2. Compare fractions:

3. Add fractions:

4. Multiply: 24 x 6 = ___

5. Divide: 40 ÷ 8 = ___

6. Simplify: 3(5 + 2)

7. Solve: N - 18 = 12

8. Graph the inequality: y < 5

9. Find the area of a rectangle with sides 3 ft and 4 ft.

10. Name the polygon with 8 sides.

Grade 5
 



1. Round 438 to the nearest ten.




2. Write 429 in expanded form.




3. Add:




368 + 479 = ___




4. Subtract:




743 - 159 = ___




5. Multiply:




23 x 16 = ___




6. Divide:




497 ÷ 7 = ___




7. Simplify:




10 - (4 + 2)




8. Solve:




4x = 28




9. Graph the inequality:




x > 2




10. Find the volume of a cube with side length 5 cm.




Grade 6




1. Solve:




-3 + (-5) = ___




2. Simplify:




-4(2 - 3)




3. Divide:




-48 ÷ (-6) = ___




4. Solve:




4(x + 2) = 28




5. Graph the inequality:




y ≥ -3




6. Identify the transformation:




7. Find the surface area of a cube with edge length 4 in.




8. Solve the proportion:




x/3 = 15/45




9. Find the mean of:




12, 7, 8, 14, 8




10. Make a stem-and-leaf plot for:




7, 12, 8, 15, 7, 13, 9




This covers key math skills from counting, shapes, number sense, operations, algebra, fractions, geometry, data analysis, and more through the 6th grade level.