Grade 5 Math practice

25 Grade 5 math lessons, including order of operations, true or false: order of operations, which comes first?, divide by two-digit numbers, round decimals, decimals past 1 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: Order of operations

Math has a fixed order: parentheses first, then × and ÷, then + and −.

Example: (8 + 6) × 2

Tip: Remember "Please Excuse My Dear Aunt Sally": Parentheses, Exponents, Multiply/Divide, Add/Subtract.

Step 2: True or false: order of operations

Do brackets first, then × and ÷, then + and −.

Example: Is this true or false? 4 + 6 × 5 = 50

Tip: 3 + 4 × 2 = 3 + 8 = 11, not 14.

Step 3: Which comes first?

In an expression, multiplication and division come before addition and subtraction.

Example: Tap the operation you do first.

Tip: Look for brackets first, then × or ÷.

Step 4: Divide by two-digit numbers

Dividing asks: how many groups of this size fit? Estimate, then check by multiplying.

Example: 638 ÷ 22

Tip: Round the divisor to estimate: 23 is about 20.

Step 5: Round decimals

Round decimals the same way as whole numbers: look at the next digit to the right.

Example: Round 4.17 to the nearest whole number.

Tip: Nearest tenth: look at the hundredths digit.

Step 6: Decimals past 1

Number lines keep going past 1: 1.25 is one and a quarter.

Example: Tap 1.75 on the number line.

Tip: Each jump here is 0.25 (a quarter).

Step 7: Add decimals

Line up the decimal points so tenths add to tenths and hundredths add to hundredths.

Example: 5.2 + 0.11

Tip: Fill empty places with zeros: 3.4 is the same as 3.40.

Step 8: Build a decimal

Decimal words: "four and thirty-six hundredths" is 4.36.

Example: Build the decimal. one and eighty-five hundredths

Tip: "and" is where the decimal point goes.

Step 9: Subtract decimals

Line up the decimal points so each place subtracts from the same place.

Example: 8.83 − 4.22

Tip: Fill empty places with zeros: 6.5 is the same as 6.50.

Step 10: More or less than a half?

One half is 0.5. Compare each number to 0.5.

Example: Is each decimal more or less than one half?

Tip: 0.45 is less than 0.5, and 0.6 is more.

Step 11: Budget it

A budget plans how money is earned and spent.

Example: You earn $10 from a lemonade stand and spend $8.75. How much is left? (like $3.50)

Tip: Money left = money earned − money spent.

Step 12: Multiply decimals by 10 and 100

Multiplying by 10 makes every digit worth 10 times more, so the decimal point hops right.

Example: 1.31 × 100

Tip: × 10: one hop right. × 100: two hops right.

Step 13: Multiply decimals by whole numbers

Multiply as if there were no decimal point, then put it back.

Example: 6.3 × 4

Tip: Count the decimal places in the question. The answer has the same number.

Step 14: Add fractions with different denominators

Before adding, rewrite both fractions with the same denominator.

Example: 1/2 + 3/6 = ? /6

Tip: Find a common denominator, like 6 for halves and thirds.

Step 15: Order fractions

With the same denominator, the bigger numerator is the bigger fraction.

Example: Put the fractions in order, smallest first.

Tip: Compare each fraction to 1/2.

Step 16: Fraction of a number

To find a fraction of a number, split it into equal groups, then take some of the groups.

Example: 3/5 of 50

Tip: The bottom number says how many groups. The top says how many to take.

Step 17: Multiply fractions

To multiply fractions, multiply the tops and multiply the bottoms.

Example: 2/3 × 2/3 = ? /9

Tip: Multiplying by a fraction smaller than 1 makes the answer smaller.

Step 18: Fractions, decimals and percents

Percent means "out of 100". 0.35 = 35/100 = 35%.

Example: 7/10 = ? %

Tip: To turn a decimal into a percent, multiply by 100.

Step 19: Shade the percent

Percent means out of 100. Here each square is 10%.

Example: Each square is 10%. Shade 60%.

Tip: 60% means 6 of the 10 squares.

Step 20: Fractions, decimals, percents

One amount can be written three ways: 1/4 = 0.25 = 25%.

Example: Match each amount to its percent.

Tip: Percent: multiply the decimal by 100.

Step 21: Input and output rules

A rule changes each input into an output, like "multiply by 3, then add 2".

Example: Find the rule, then the missing output. 1 → 4 · 2 → 8 · 3 → 12 · 8 → ?

Tip: See how much the output grows each time the input goes up by 1.

Step 22: Coordinate grids

A point is written (x, y): x is how far across, y is how far up.

Example: What is the x-coordinate of the point? 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8

Tip: Across first, then up. Walk along the hall, then up the stairs.

Step 23: Area of parallelograms

A parallelogram has the same area as a rectangle with the same base and height.

Example: A parallelogram has base 9 cm, height 3 cm and slanted side 4 cm. What is its area in cm²?

Tip: Area = base × height. Use the straight-up height, not the slanted side.

Step 24: Volume of boxes

Volume is how many cubes fill a box: length × width × height.

Example: A box is 4 cm long, 2 cm wide and 3 cm tall. What is its volume in cubic cm?

Tip: Find the cubes in the bottom layer first, then count the layers.

Step 25: Boxes with the same volume

Volume of a box = length × width × height.

Example: Which boxes have a volume of 24 cubes? (length × width × height)

Tip: Multiply all three numbers.

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