What Year 5 Maths Covers

Year 5 extends the foundations laid in Year 4 into more complex territory. Pupils work with numbers up to 1,000,000, multiply and divide with larger numbers, and tackle more sophisticated fraction and decimal work. This is also the year percentages are introduced, along with prime numbers, square numbers and cube numbers.

Our full library of free Year 5 maths worksheets covers every topic. Every PDF is free, printable, and includes an answer key.

The Year 5 Maths Curriculum

The main areas of the Year 5 curriculum:

Number and place value — numbers up to 1,000,000, negative numbers, Roman numerals to 1,000
Addition and subtraction — formal written methods with large numbers
Multiplication and division — long multiplication, long division with up to 4-digit numbers
Fractions — adding, subtracting and multiplying fractions with different denominators
Decimals — rounding, multiplying and dividing by 10, 100, 1,000
Percentages — introduction, converting between fractions, decimals and percentages
Measurement — converting units, area of shapes, volume
Geometry — angles, properties of 2D and 3D shapes, reflection and translation
Statistics — tables and line graphs

Long Multiplication and Division

Year 5 is when long multiplication and long division really take hold. Pupils multiply up to 4-digit numbers by 1- and 2-digit numbers using the formal written method, and divide up to 4-digit numbers by a 1-digit number.

Download the multiplication worksheet PDF for structured practice on long multiplication. The division worksheet PDF covers long division with single-digit divisors, including problems with remainders.

The secret to success with long multiplication and long division is fluent times tables. If your child is still counting for facts like 8 x 7, slow down and drill tables before attempting the longer written methods — they'll save time in the long run.

Fractions Get Serious

Year 5 fractions work includes adding and subtracting fractions with different denominators, multiplying fractions by whole numbers, and converting between improper fractions and mixed numbers.

The fractions worksheet PDF gives structured practice on all of these. Visual models help a lot at this stage — fraction bars or pie diagrams make operations concrete.

Decimals

Year 5 pupils learn to round decimals, multiply and divide decimals by 10, 100 and 1,000, and work with decimal equivalents of common fractions. The decimals worksheet PDF covers these skills with plenty of practice problems.

Percentages Arrive

Percentages are introduced formally in Year 5, typically as "percent means per hundred" — 50% is 50 out of 100, the same as 1/2 or 0.5. Pupils learn to convert between fractions, decimals, and percentages for benchmark values (10%, 25%, 50%, 75%, 100%).

Getting the basics right here pays off enormously in Year 6 and beyond.

Practice Routine for Year 5

A Year 5 pupil can sustain 20 minutes of focused practice. A typical week:

Monday: long multiplication
Tuesday: fractions
Wednesday: long division
Thursday: decimals or percentages
Friday: a mixed review

Rotate topics weekly to prevent staleness. Printable worksheets from the Year 5 collection give you a fresh set every session.

Supporting Your Child

A few practical tips:

Keep practice low-pressure. Year 5 can be a tough year, and maths anxiety is real.
Insist on showing work. Year 5 problems have too many steps to do in the head.
Review mistakes together. Don't just correct — ask "what did you do here? Let's find where it went wrong."
Praise effort and improvement, not perfection.

Free, Printable, Answer Keys

All worksheets are free and come with answer keys. No login, no email, no limits on printing.

Browse the full Year 5 maths worksheet library and pick the topic your child is learning this week.

Year 5 is a big jump from Year 4, but steady daily practice makes it manageable. Fifteen to twenty minutes a day, most days of the week, is usually enough to stay on top of everything.

Year 5 Maths Worksheets (UK Curriculum, Free PDFs)