Here is an example of 6 sample math problems for each grade level based on typical computational benchmarks:
Kindergarten:
1. Count the apples: ππππ
2. What number comes after 5?
3. 2 + 3 = ?
4. What number is missing: 8, 9, __, 11
5. How many dogs? ππ
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:
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: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: πͺπͺπͺπͺπͺπͺπͺπͺπͺπͺ
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)
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.
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