Math Grade 3

Understanding numbers up to 10,000

• Reading and writing numbers in standard, word, and expanded form
• Place value of digits (thousands, hundreds, tens, ones)
• Comparing and ordering numbers
• Rounding numbers to the nearest 10 or 100
• Even and odd numbers

30 Questions

1. What is the place value of 7 in 5,742?
Answer: 7 is in the tens place.
2. Write 4,309 in expanded form.
Answer: 4000 + 300 + 0 + 9
3. Round 6,748 to the nearest hundred.
Answer: 6,700
4. Is 9,023 an odd or even number?
Answer: Odd number
5. Which number is greater: 8,215 or 8,125?
Answer: 8,215 is greater.
6. Write the number five thousand, six hundred and seven in digits.
Answer: 5,607
7. What is the value of the digit 3 in 3,854?
Answer: 3,000 (thousands place)
8. Order these numbers from smallest to largest: 2,345; 2,354; 2,435.
Answer: 2,345; 2,354; 2,435
9. Write 7,608 in word form.
Answer: Seven thousand six hundred eight
10. Round 1,237 to the nearest 10.
Answer: 1,240
11. What digit is in the hundreds place in 4,296?
Answer: 2
12. Is the number 3,022 even or odd?
Answer: Even
13. Write 9,014 in expanded form.
Answer: 9000 + 0 + 10 + 4
14. Compare: 7,890 and 7,809. Which is larger?
Answer: 7,890 is larger
15. Round 5,864 to the nearest hundred.
Answer: 5,900
16. What is the place value of 5 in 2,547?
Answer: Hundreds place
17. Write the number 8,003 in word form.
Answer: Eight thousand three
18. Order these numbers from largest to smallest: 3,254; 3,245; 3,425.
Answer: 3,425; 3,254; 3,245
19. Is 2,711 an odd or even number?
Answer: Odd
20. Round 9,146 to the nearest 10.
Answer: 9,150
21. What is the expanded form of 1,205?
Answer: 1000 + 0 + 0 + 5
22. Write the number four thousand, three hundred and twelve in digits.
Answer: 4,312
23. Which digit is in the tens place in 6,479?
Answer: 7
24. Compare: 5,126 and 5,162. Which is smaller?
Answer: 5,126
25. Round 3,785 to the nearest 100.
Answer: 3,800
26. Is 4,200 an even or odd number?
Answer: Even
27. Write 2,908 in word form.
Answer: Two thousand nine hundred eight
28. What is the place value of 9 in 9,045?
Answer: Thousands place
29. Write the expanded form of 7,000.
Answer: 7000 + 0 + 0 + 0
30. Round 8,999 to the nearest 10.
Answer: 9,000
31. Is 1,111 an odd or even number?
Answer: Odd
32. Order these numbers from smallest to largest: 4,321; 4,312; 4,123.
Answer: 4,123; 4,312; 4,321

Addition of 3- and 4-digit numbers with and without regrouping

Subtraction of 3- and 4-digit numbers with and without regrouping

Estimating sums and differences

Solving word problems involving addition and subtraction

Using mental math strategies

30 Questions

1. Add 3,456 and 2,789.
Answer: 6,245
2. Subtract 5,002 from 7,500.
Answer: 2,498
3. Estimate the sum of 4,321 and 3,678.
Answer: About 8,000
4. A store sold 2,450 apples and 3,125 oranges. How many fruits did it sell in total?
Answer: 5,575 fruits
5. Use mental math to find 3,000 + 4,500.
Answer: 7,500
6. Add 1,234 and 5,678.
Answer: 6,912
7. Subtract 3,000 from 10,000.
Answer: 7,000
8. Estimate the difference between 8,342 and 3,299.
Answer: About 5,000
9. John has 4,500 marbles. He gave away 1,200. How many does he have now?
Answer: 3,300 marbles
10. Use mental math to find 6,000 - 2,000.
Answer: 4,000
11. Add 9,876 and 123.
Answer: 9,999
12. Subtract 1,111 from 2,222.
Answer: 1,111
13. Estimate the sum of 7,845 and 1,234.
Answer: About 9,000
14. A farmer has 6,000 apples and sells 2,345. How many remain?
Answer: 3,655 apples
15. Use mental math to find 8,000 + 1,500.
Answer: 9,500
16. Add 4,567 and 3,333.
Answer: 7,900
17. Subtract 2,222 from 5,555.
Answer: 3,333
18. Estimate the difference between 9,876 and 3,210.
Answer: About 6,600
19. Mary has 7,500 stickers, she gave 2,000 to friends. How many remain?
Answer: 5,500 stickers
20. Use mental math to find 5,000 - 3,000.
Answer: 2,000
21. Add 3,210 and 4,321.
Answer: 7,531
22. Subtract 1,000 from 10,000.
Answer: 9,000
23. Estimate the sum of 5,555 and 4,444.
Answer: About 10,000
24. Jane has 6,000 marbles. She gave 1,500 to her brother. How many does she have left?
Answer: 4,500 marbles
25. Use mental math to find 7,000 + 2,000.
Answer: 9,000
26. Add 2,345 and 3,654.
Answer: 5,999
27. Subtract 5,555 from 9,999.
Answer: 4,444
28. Estimate the difference between 8,888 and 4,444.
Answer: About 4,400
29. Tom has 7,000 pencils. He gave 3,000 to school. How many remain?
Answer: 4,000 pencils
30. Use mental math to find 6,000 - 1,000.
Answer: 5,000
31. Add 1,111 and 2,222.
Answer: 3,333

Understanding multiplication as repeated addition and arrays

Multiplication facts (0 to 10)

Multiplying 1-digit numbers by 2-digit numbers

Properties of multiplication (commutative, associative, distributive)

Solving word problems involving multiplication

30 Questions

1. What is 7 multiplied by 6?
Answer: 42
2. Multiply 8 by 14.
Answer: 112
3. Explain why 4 × 5 = 5 × 4 (commutative property).
Answer: Because multiplication order doesn't change the product.
4. Find the product of 3 and 27.
Answer: 81
5. A garden has 5 rows with 12 flowers in each row. How many flowers are there in total?
Answer: 60 flowers
6. Multiply 9 by 9.
Answer: 81
7. What is 10 times 7?
Answer: 70
8. Multiply 4 by 15.
Answer: 60
9. Use the distributive property to solve 6 × (4 + 3).
Answer: (6×4) + (6×3) = 24 + 18 = 42
10. Multiply 3 by 12.
Answer: 36
11. What is 5 multiplied by 8?
Answer: 40
12. Multiply 7 by 13.
Answer: 91
13. Find the product of 6 and 14.
Answer: 84
14. Explain the associative property of multiplication using 2, 3, and 4.
Answer: (2×3)×4 = 2×(3×4) = 24
15. Multiply 11 by 5.
Answer: 55
16. Multiply 9 by 8.
Answer: 72
17. Find the product of 12 and 7.
Answer: 84
18. Multiply 14 by 2.
Answer: 28
19. Use repeated addition to calculate 4 × 6.
Answer: 6 + 6 + 6 + 6 = 24
20. Multiply 10 by 9.
Answer: 90
21. What is 3 times 5?
Answer: 15
22. Multiply 8 by 11.
Answer: 88
23. Find the product of 7 and 7.
Answer: 49
24. Multiply 5 by 12.
Answer: 60
25. Use arrays to explain 3 × 4.
Answer: 3 rows of 4 = 12
26. Multiply 6 by 9.
Answer: 54
27. What is 4 times 7?
Answer: 28
28. Multiply 13 by 3.
Answer: 39
29. Multiply 15 by 2.
Answer: 30
30. What is 12 multiplied by 5?
Answer: 60
31. Multiply 2 by 18.
Answer: 36
32. Use mental math to find 5 × 20.
Answer: 100

Understanding division as sharing and grouping

Division facts (0 to 10)

Dividing 1-digit numbers by 1-digit numbers

Interpreting remainders

Solving word problems involving division

30 Questions

1. What is 20 divided by 4?
Answer: 5
2. Divide 36 by 6.
Answer: 6
3. What is the remainder when 29 is divided by 5?
Answer: 4
4. Divide 45 by 9.
Answer: 5
5. A pizza is divided into 8 equal slices and shared by 4 friends. How many slices does each friend get?
Answer: 2 slices each
6. Divide 54 by 9.
Answer: 6
7. What is 7 divided by 3? State quotient and remainder.
Answer: Quotient is 2, remainder is 1
8. Divide 81 by 9.
Answer: 9
9. How many groups of 5 are there in 40?
Answer: 8 groups
10. Divide 100 by 10.
Answer: 10
11. What is the remainder when 17 is divided by 4?
Answer: 1
12. Divide 63 by 7.
Answer: 9
13. A teacher divides 48 pencils equally into 6 boxes. How many pencils per box?
Answer: 8 pencils per box
14. Divide 72 by 8.
Answer: 9
15. What is 9 divided by 4? Give quotient and remainder.
Answer: Quotient 2, remainder 1
16. Divide 50 by 5.
Answer: 10
17. How many groups of 3 in 27?
Answer: 9 groups
18. Divide 96 by 12.
Answer: 8
19. A box contains 55 chocolates to be shared equally by 6 kids. How many chocolates each, and remainder?
Answer: Each kid gets 9 chocolates, remainder 1
20. Divide 84 by 7.
Answer: 12
21. What is 18 divided by 5? State quotient and remainder.
Answer: Quotient 3, remainder 3
22. Divide 60 by 6.
Answer: 10
23. How many groups of 4 are in 32?
Answer: 8 groups
24. Divide 99 by 9.
Answer: 11
25. A farmer has 45 apples, he puts them into baskets of 7 apples each. How many full baskets and remainder?
Answer: 6 full baskets, remainder 3 apples
26. Divide 30 by 5.
Answer: 6
27. What is the remainder when 22 is divided by 4?
Answer: 2
28. Divide 56 by 8.
Answer: 7
29. How many groups of 2 are in 18?
Answer: 9 groups
30. Divide 40 by 4.
Answer: 10
31. What is 15 divided by 4? Give quotient and remainder.
Answer: Quotient 3, remainder 3

Understanding fractions as parts of a whole

Identifying and naming fractions (halves, thirds, fourths, etc.)

Comparing and ordering fractions with the same denominator

Equivalent fractions

Simple fraction addition and subtraction with like denominators

Using fractions on a number line

30 Questions

1. What fraction of a pizza is one slice if the pizza is cut into 8 equal slices?
Answer: 1/8
2. Name the fraction represented by half of a whole.
Answer: 1/2
3. What fraction is three quarters?
Answer: 3/4
4. Order these fractions from smallest to largest: 3/5, 1/5, 4/5.
Answer: 1/5, 3/5, 4/5
5. Are 2/4 and 1/2 equivalent fractions?
Answer: Yes, they are equivalent.
6. Add 1/4 + 2/4.
Answer: 3/4
7. Subtract 3/8 - 1/8.
Answer: 2/8 or 1/4
8. What fraction is shaded if 5 out of 10 parts are shaded?
Answer: 5/10 or 1/2
9. Place the fraction 2/6 on a number line between 0 and 1.
Answer: Between 0 and 1, closer to 0.3
10. Are 3/9 and 1/3 equivalent fractions?
Answer: Yes, they are equivalent.
11. What fraction is one third?
Answer: 1/3
12. Add 2/5 + 1/5.
Answer: 3/5
13. Subtract 4/6 - 2/6.
Answer: 2/6 or 1/3
14. Compare fractions: Which is larger 2/8 or 3/8?
Answer: 3/8
15. What is the equivalent fraction of 1/2 with denominator 4?
Answer: 2/4
16. Add 3/10 + 4/10.
Answer: 7/10
17. Subtract 5/12 - 2/12.
Answer: 3/12 or 1/4
18. Place 3/4 on a number line between 0 and 1.
Answer: Between 0.7 and 0.8
19. Are 6/8 and 3/4 equivalent?
Answer: Yes, they are equivalent.
20. What fraction is one fourth?
Answer: 1/4
21. Add 1/3 + 1/3.
Answer: 2/3
22. Subtract 3/7 - 2/7.
Answer: 1/7
23. Compare: Which is larger 4/9 or 5/9?
Answer: 5/9
24. What is the equivalent fraction of 2/3 with denominator 6?
Answer: 4/6
25. Add 3/8 + 2/8.
Answer: 5/8
26. Subtract 7/10 - 4/10.
Answer: 3/10
27. Place 5/6 on a number line between 0 and 1.
Answer: Near 0.83
28. Are 8/12 and 2/3 equivalent fractions?
Answer: Yes
29. What fraction is three fifths?
Answer: 3/5
30. Add 4/7 + 2/7.
Answer: 6/7

Measuring length using standard units (inches, feet, centimeters, meters)

Understanding and converting between units of measure (e.g., inches to feet)

Measuring weight/mass (pounds, ounces, kilograms, grams)

Measuring volume and capacity (liters, milliliters, cups, pints, quarts)

Telling time to the nearest minute

Understanding and calculating elapsed time

Solving word problems involving measurement

30 Questions

1. How many inches are in 3 feet?
Answer: 36 inches
2. Convert 150 centimeters to meters.
Answer: 1.5 meters
3. How many pounds are in 32 ounces?
Answer: 2 pounds
4. Convert 5 liters to milliliters.
Answer: 5,000 milliliters
5. What time is 25 minutes after 3:10?
Answer: 3:35
6. If a movie starts at 6:45 PM and ends at 8:15 PM, how long is the movie?
Answer: 1 hour 30 minutes
7. How many quarts are in 12 pints?
Answer: 6 quarts
8. Measure the length of a pencil that is 7 inches in centimeters (1 inch = 2.54 cm).
Answer: 17.78 cm
9. How many grams are in 3 kilograms?
Answer: 3,000 grams
10. Convert 2 feet to inches.
Answer: 24 inches
11. What time is 45 minutes before 2:30 PM?
Answer: 1:45 PM
12. How many cups are in 1 quart?
Answer: 4 cups
13. A bottle contains 1.5 liters of water. How many milliliters is this?
Answer: 1,500 milliliters
14. How many ounces are in 3 pounds?
Answer: 48 ounces
15. Calculate elapsed time: From 9:20 AM to 11:05 AM.
Answer: 1 hour 45 minutes
16. Convert 90 centimeters to meters.
Answer: 0.9 meters
17. How many feet are in 36 inches?
Answer: 3 feet
18. Convert 500 milliliters to liters.
Answer: 0.5 liters
19. What is 15 minutes after 4:50 PM?
Answer: 5:05 PM
20. How many pints are in 2 quarts?
Answer: 4 pints
21. Measure a length of 120 centimeters in meters.
Answer: 1.2 meters
22. Convert 6 pounds to ounces.
Answer: 96 ounces
23. How long is the time between 7:15 AM and 9:00 AM?
Answer: 1 hour 45 minutes
24. What time is 1 hour and 20 minutes after 10:40 AM?
Answer: 12:00 PM
25. Convert 3 quarts to pints.
Answer: 6 pints
26. Convert 2000 grams to kilograms.
Answer: 2 kilograms
27. How many inches are in 5 feet 6 inches?
Answer: 66 inches
28. Convert 250 milliliters to cups (1 cup = 240 ml).
Answer: About 1.04 cups
29. Calculate elapsed time: from 1:15 PM to 3:45 PM.
Answer: 2 hours 30 minutes
30. How many grams are in 0.75 kilograms?
Answer: 750 grams

Identifying and describing 2D shapes (triangles, quadrilaterals, pentagons, hexagons)

Identifying and describing 3D shapes (cubes, spheres, cylinders, cones)

Understanding attributes of shapes (sides, vertices, angles)

Recognizing lines of symmetry

Understanding perimeter and area of simple shapes

Drawing and classifying angles (right, acute, obtuse)

30 Questions

1. How many sides does a triangle have?
Answer: 3 sides
2. Name a shape with four equal sides and four right angles.
Answer: Square
3. How many vertices does a pentagon have?
Answer: 5 vertices
4. Identify a 3D shape with six square faces.
Answer: Cube
5. How many edges does a cylinder have?
Answer: 2 edges (the two circular edges)
6. How many lines of symmetry does a rectangle have?
Answer: 2 lines of symmetry
7. What is the perimeter of a square with side length 5 cm?
Answer: 20 cm
8. Draw and classify an angle of 90 degrees.
Answer: Right angle
9. How many sides does a hexagon have?
Answer: 6 sides
10. Name a shape with three unequal sides.
Answer: Scalene triangle
11. What is the area of a rectangle with length 8 cm and width 3 cm?
Answer: 24 cm²
12. How many vertices does a cube have?
Answer: 8 vertices
13. Identify an angle less than 90 degrees.
Answer: Acute angle
14. How many edges does a cone have?
Answer: 1 edge (the circular base)
15. What is the line of symmetry in a square?
Answer: Four lines of symmetry
16. Calculate the perimeter of a triangle with sides 3 cm, 4 cm, and 5 cm.
Answer: 12 cm
17. Name a 2D shape with no sides or vertices.
Answer: Circle
18. How many faces does a sphere have?
Answer: None (a sphere has no flat faces)
19. Classify an angle greater than 90 degrees but less than 180 degrees.
Answer: Obtuse angle
20. What is the area of a square with side length 7 cm?
Answer: 49 cm²
21. How many lines of symmetry does an equilateral triangle have?
Answer: 3 lines of symmetry
22. Name a shape with exactly 5 sides.
Answer: Pentagon
23. How many vertices does a cylinder have?
Answer: None
24. What is the perimeter of a rectangle with length 10 cm and width 4 cm?
Answer: 28 cm
25. Identify an angle of exactly 180 degrees.
Answer: Straight angle
26. Name a 3D shape that looks like a ball.
Answer: Sphere
27. How many edges does a cube have?
Answer: 12 edges
28. What is the area of a triangle with base 6 cm and height 4 cm?
Answer: 12 cm²
29. Name a shape with six sides.
Answer: Hexagon
30. Draw and classify an angle less than 90 degrees.
Answer: Acute angle
31. How many vertices does a cone have?
Answer: 1 vertex

Collecting and organizing data

Reading and interpreting bar graphs and pictographs

Creating simple bar graphs and pictographs

Understanding tally charts

Introduction to line plots

30 Questions

1. What is a tally chart used for?
Answer: To record and organize data using tally marks.
2. How many tally marks represent the number 7?
Answer: Seven tally marks (five marks with one group crossed plus two more).
3. What kind of graph uses pictures or symbols to represent data?
Answer: Pictograph
4. What is the main purpose of a bar graph?
Answer: To compare different categories of data visually.
5. How many categories are shown in this bar graph? (Assume a sample graph with 4 bars)
Answer: Four categories
6. What is the total number of votes shown if each bar represents the number of votes for candidates?
Answer: Sum of all votes from each bar
7. How do you create a bar graph from collected data?
Answer: Organize data into categories and plot bars proportional to the data.
8. What information is shown on the x-axis of a bar graph?
Answer: Categories or groups
9. What does each mark represent in a tally chart?
Answer: One unit or count
10. How is data collected before making a graph?
Answer: By surveying, observing, or measuring
11. What is a line plot used to show?
Answer: Frequency of data along a number line
12. What is the first step in organizing data?
Answer: Collecting the data
13. How many tally marks are there for the number 12?
Answer: Two groups of five tally marks and two more marks
14. What symbol is commonly used in pictographs to represent data?
Answer: Icons or pictures
15. How can you interpret the height of a bar in a bar graph?
Answer: It shows the value or amount for that category
16. What is the difference between a pictograph and a bar graph?
Answer: Pictographs use pictures as data points; bar graphs use bars
17. How do you read a tally chart to find totals?
Answer: Count each tally mark and add them
18. What does each “X” shape mean in a tally chart?
Answer: It represents a group of five counts
19. What kind of data is best shown with a line plot?
Answer: Data showing frequency of measurements
20. Why is organizing data important before making graphs?
Answer: To understand the data clearly and accurately
21. How do you create a pictograph?
Answer: Use pictures to represent a certain number of items in each category
22. What information does a bar graph NOT show?
Answer: Exact data values between bars
23. What is the role of a key or legend in a pictograph?
Answer: It explains what each picture represents
24. How do you count tally marks quickly?
Answer: Count groups of five first, then add remaining marks
25. What is the main difference between bar graphs and line plots?
Answer: Bar graphs show categories; line plots show data distribution
26. What is the sum of data points represented by 3 bars of heights 4, 7, and 5?
Answer: 16
27. How can you check if your data is organized correctly?
Answer: Verify all entries and totals match collected data
28. What is one advantage of using pictographs?
Answer: Easy visual understanding
29. How do you interpret a line plot with many points at one location?
Answer: That value occurs frequently
30. What type of graph would you use to show favorite ice cream flavors?
Answer: Bar graph or pictograph

Recognizing, describing, and extending patterns

Using addition and subtraction to find missing numbers in patterns

Introduction to simple equations and number sentences

Using variables to represent unknowns in simple equations

30 Questions

1. What is the next number in the pattern: 2, 4, 6, 8, ...?
Answer: 10
2. Identify the pattern rule: 5, 10, 15, 20, ...
Answer: Add 5 each time
3. What comes next in the pattern: A, B, A, B, ...?
Answer: A
4. Find the missing number: 10, __, 30, 40, 50
Answer: 20
5. Solve: x + 5 = 12. What is x?
Answer: 7
6. If the pattern is subtracting 3: 20, 17, 14, __, __
Answer: 11, 8
7. What is the rule in the pattern: 2, 4, 8, 16, 32?
Answer: Multiply by 2 each time
8. Find the missing number: __, 15, 20, 25, 30
Answer: 10
9. Solve: 3 + y = 10. Find y.
Answer: 7
10. What is the next shape in the pattern: circle, square, circle, square, ...?
Answer: Circle
11. Identify the pattern rule: 100, 90, 80, 70, ...
Answer: Subtract 10 each time
12. What comes next in the pattern: red, blue, red, blue, ...?
Answer: Red
13. Find the missing number: 7, 14, __, 28, 35
Answer: 21
14. Solve: x - 4 = 6. What is x?
Answer: 10
15. If the pattern is adding 2: 2, 4, 6, __, __
Answer: 8, 10
16. What is the rule in the pattern: 1, 3, 6, 10, 15?
Answer: Add 2, then 3, then 4, then 5 (triangular numbers)
17. Find the missing number: 5, __, 15, 20, 25
Answer: 10
18. Solve: y + 8 = 14. Find y.
Answer: 6
19. What is the next number in the pattern: 3, 6, 9, 12, ...?
Answer: 15
20. Identify the pattern rule: 50, 45, 40, 35, ...
Answer: Subtract 5 each time
21. What comes next in the pattern: square, triangle, square, triangle, ...?
Answer: Square
22. Find the missing number: 12, 24, __, 48, 60
Answer: 36
23. Solve: 2x = 14. What is x?
Answer: 7
24. If the pattern is doubling: 1, 2, 4, 8, __
Answer: 16
25. What is the rule in the pattern: 10, 20, 40, 80, 160?
Answer: Multiply by 2 each time
26. Find the missing number: __, 5, 10, 15, 20
Answer: 0
27. Solve: x + 9 = 15. Find x.
Answer: 6
28. What is the next shape in the pattern: circle, square, triangle, circle, square, ...?
Answer: Triangle
29. Identify the pattern rule: 3, 6, 12, 24, 48
Answer: Multiply by 2 each time
30. What comes next in the pattern: 100, 90, 80, 70, ...?
Answer: 60