Grade 4 Math practice

25 Grade 4 math lessons, including round to the nearest 100 or 1000, from expanded form, count the factors, find all the factors, prime numbers, prime or composite? and more. Each one has a short video where Pip explains the idea, a worked example, and endless new practice questions with step-by-step help when a child gets stuck.

Step 1: Round to the nearest 100 or 1000

To round, look at the digit just to the right. 5 or more rounds up; 4 or less rounds down.

Example: Round 2721 to the nearest 1000.

Tip: Nearest 1000: look at the hundreds digit.

Step 2: From expanded form

Expanded form shows the value of each digit: 4000 + 300 + 6 = 4306.

Example: Build the number. 1000 + 600 + 70 + 8

Tip: Watch for places with zero.

Step 3: Count the factors

Factors are numbers that multiply to make a number. Factors of 12: 1, 2, 3, 4, 6 and 12.

Example: How many factors does 30 have?

Tip: Find factor pairs: 1 × 12, 2 × 6, 3 × 4.

Step 4: Find all the factors

Factors divide a number evenly. Factors of 12: 1, 2, 3, 4, 6, 12.

Example: Choose every factor of 20.

Tip: Find factor pairs: 1 × 12, 2 × 6, 3 × 4.

Step 5: Prime numbers

A prime number has exactly two factors: 1 and itself.

Example: Prime or not prime? 16

Tip: To check a number up to 50, try dividing by 2, 3, 5 and 7.

Step 6: Prime or composite?

A prime number has exactly two factors: 1 and itself. A composite number has more.

Example: Is each number prime or composite?

Tip: Try dividing by 2, 3 and 5.

Step 7: Multiply by one digit

Break the big number into hundreds, tens and ones. Multiply each part, then add.

Example: 30 × 7

Tip: This is called the distributive property. It works for any size of number.

Step 8: Multiply two-digit numbers

Break one number into tens and ones, multiply each part, then add.

Example: 44 × 15

Tip: 23 × 14 = 23 × 10 + 23 × 4.

Step 9: Change the units

Metric units go up by 10s, 100s and 1000s: 1 m = 100 cm, 1 km = 1000 m.

Example: Type the missing number. 1 cm = ___ mm

Tip: Bigger unit to smaller unit: multiply.

Step 10: Divide bigger numbers

Split the big number into friendly parts that divide easily, then add the answers.

Example: 581 ÷ 7

Tip: Look for a multiple of the divisor in the tens, like 80 for ÷ 4.

Step 11: Two-step story problems

Some stories need two steps. Solve the first part, then use that answer for the second part.

Example: Sofia buys 3 packs of marbles. Each pack has 10 marbles. Sofia gives away 17. How many marbles does Sofia have left?

Tip: Write down the answer to step one so you do not lose it.

Step 12: Spot the extra number

Some word problems include a number you do not need.

Example: Tap the number you do NOT need to answer the question.

Tip: Ask: what is the question really asking?

Step 13: Equivalent fractions

Equivalent fractions show the same amount with different-sized pieces.

Example: 1/2 = ? /4

Tip: Whatever you multiply the bottom by, multiply the top by the same.

Step 14: Match equal fractions

Equivalent fractions name the same amount: 1/2 = 2/4.

Example: Match each fraction to an equal fraction.

Tip: Multiply the top and bottom by the same number.

Step 15: Compare fractions

To compare fractions fairly, the pieces must be the same size. Cross-multiplying does that for you.

Example: 2/4 ? 1/3

Tip: With the same bottom number, the bigger top number wins.

Step 16: Mixed numbers to fractions

A mixed number is wholes plus a fraction. Turn the wholes into pieces, then add the extra pieces.

Example: 42/4 = ? /4

Tip: Each whole has as many pieces as the bottom number.

Step 17: Add fractions

When the pieces are the same size, just count how many pieces there are altogether.

Example: 2/5 + 1/5 = ? /5

Tip: The bottom number names the piece size, so it stays the same.

Step 18: Tenths and hundredths

Decimals are another way to write tenths and hundredths: 7/10 = 0.7 and 23/100 = 0.23.

Example: 21/100 = ?

Tip: Tenths have one digit after the point. Hundredths have two.

Step 19: Decimals on a number line

Between 0 and 1 there are 10 tenths: 0.1, 0.2, 0.3…

Example: Tap 0.6 on the number line.

Tip: Each small jump is one tenth.

Step 20: Shade the decimal

Each square is one tenth (0.1) of the whole.

Example: Each square is 0.1. Shade 0.4 of the strip.

Tip: 0.7 means 7 tenths: shade 7 squares.

Step 21: Compare decimals

To compare decimals, give them the same number of digits: 0.5 = 0.50, which is more than 0.45.

Example: 0.96 ? 0.65

Tip: Add a zero so both have two digits after the point, then compare.

Step 22: Order decimals

Compare decimals by their tenths, then hundredths. 0.5 is bigger than 0.45.

Example: Put the decimals in order, smallest first.

Tip: Write each with two digits after the point: 0.5 = 0.50.

Step 23: Least common multiple

The least common multiple is the smallest number that is a multiple of both numbers.

Example: LCM of 4 and 7

Tip: List the multiples of the bigger number and stop at the first one the smaller number divides.

Step 24: Missing angles

Angles on a straight line add up to 180°. A right angle is 90°.

Example: The two angles make a right angle. What is the other angle? 70°

Tip: Subtract the angle you know from the total.

Step 25: Area or perimeter?

Perimeter is the distance around. Area is the space inside.

Example: Is this true or false? A 3 m by 6 m rectangle has a perimeter of 20 m.

Tip: Perimeter: add the sides. Area: length × width.

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