Free Grade 5 Math Worksheets With Answers
Fifth grade pulls fractions, decimals and volume together and adds the order of operations on top. These free questions target exactly those skills, each with the answer and the steps that produced it.
10 free questions · Answer keys included · No sign-up to practice
Skills covered in Grade 5
Aligned to Common Core Grade 5 domains: 5.OA expressions, 5.NBT place value and decimals, 5.NF fraction operations, 5.MD volume and measurement, and 5.G the coordinate plane.
- Adding and subtracting fractions with unlike denominators
- Multiplying and dividing fractions
- Decimal operations to thousandths
- Volume of rectangular prisms
- Order of operations with brackets
- Plotting points on the coordinate plane
- Converting measurement units
- Multi-step word problems with fractions
Free Grade 5 practice questions with answers
Filter by topic or difficulty, or work straight through. Every answer opens to show the steps, so the page works as a worksheet and an answer key at the same time.
- Question 1easyFractions
Add: 2/5 + 1/5
Show answer and worked solution
Answer: 3/5
The denominators match, so add the numerators only: 2 + 1 = 3, giving 3/5.
- Question 2easyOrder of operations
Evaluate: 3 + 4 × 2
Show answer and worked solution
Answer: 11
Multiplication comes before addition: 4 × 2 = 8, then 3 + 8 = 11.
- Question 3easyVolume
Find the volume of a box 2 × 3 × 4 units.
Show answer and worked solution
Answer: 24 cubic units
V = length × width × height = 2 × 3 × 4 = 24.
- Question 4easyCoordinate plane
In which quadrant does the point (3, 2) lie?
Show answer and worked solution
Answer: Quadrant I
Both coordinates are positive, which places the point in the first quadrant.
- Question 5easyDecimals
What is 0.6 × 10?
Show answer and worked solution
Answer: 6
Multiplying by 10 shifts each digit one place left, so 0.6 becomes 6.
- Question 6mediumFractions
Subtract: 3/4 − 1/3
Show answer and worked solution
Answer: 5/12
Common denominator 12: 9/12 − 4/12 = 5/12.
- Question 7mediumFractions
Multiply: 1/2 × 3/4
Show answer and worked solution
Answer: 3/8
Multiply numerators and denominators separately: (1×3)/(2×4) = 3/8.
- Question 8mediumOrder of operations
Evaluate: 3 × (8 + 4)
Show answer and worked solution
Answer: 36
Brackets first: 8 + 4 = 12, then 3 × 12 = 36.
- Question 9hardVolume
A tank holds 240 cubic cm. Its base is 8 cm by 5 cm. How tall is it?
Show answer and worked solution
Answer: 6 cm
V = base area × height, so 240 = 40 × h, giving h = 240 ÷ 40 = 6 cm.
- Question 10hardFractions
A recipe needs 3/4 cup of sugar. How much for half a batch?
Show answer and worked solution
Answer: 3/8 cup
Half of 3/4 is (3/4) × (1/2) = 3/8 of a cup.
Need a full Grade 5 test?
Generate a printable Grade 5 test with fresh questions, your own difficulty mix, and a complete worked answer key.
What Grade 5 students are expected to master
Fifth grade is the year fractions become fully operational. Students no longer just compare fractions, they add, subtract, multiply and divide them, and each of those four operations follows a different rule. Adding needs a common denominator; multiplying does not. Students who try to find a common denominator before multiplying have not been taught wrongly, they have over-generalised the one rule they learned first.
Volume arrives at the same time, and it is the first genuinely three-dimensional measurement. The formula V = l × w × h is easy; the harder skill is running it backwards, given a volume and two dimensions, to find the third. That reversal is what separates students who understand the formula from students who have memorised it.
The order of operations trap in Grade 5
Almost every Grade 5 class meets an acronym, and almost every class then produces the same error: treating multiplication as strictly before division, and addition as strictly before subtraction. In 12 ÷ 4 × 3, a student following that reading gets 1 instead of 9. Multiplication and division share a level and are worked left to right, as do addition and subtraction.
The fix is to teach the order as three tiers rather than six letters: brackets and exponents, then multiplication and division together, then addition and subtraction together. Students who see it as three tiers make dramatically fewer errors on mixed expressions than students who recite six letters.