Year 5 Maths: The Complete Curriculum Guide for Parents
- Year 5 (age 9–10) is the “hidden SATs year” — gaps here become problems in Year 6
- Numbers to 1,000,000; count forwards and backwards in powers of 10; negative numbers in context
- Long multiplication (4-digit × 2-digit) and short division; square and cube numbers
- Fractions, decimals, and percentages converge: ½ = 0.5 = 50% — this connection is key
- Angles in degrees: acute, obtuse, and reflex; angles on a line (180°) and around a point (360°)
- Prime numbers, prime factors, and composite numbers introduced
Why Year 5 Matters So Much
Year 5 is the penultimate year of Key Stage 2, and for many children it is where the curriculum starts to feel genuinely demanding. The topics become more abstract, the numbers get much larger, and fractions, decimals, and percentages all come together for the first time.
Teachers often call Year 5 the “hidden SATs year” because the work done this year directly feeds into Year 6 revision. Children who consolidate their understanding of fractions, written methods, and place value in Year 5 are in a much stronger position when formal SATs preparation begins. Gaps left unaddressed in Year 5 compound quickly in Year 6.
Number and Place Value
Year 5 pupils work with numbers up to 1,000,000 — a significant expansion that introduces millions for the first time.
- Read, write, order, and compare numbers to at least 1,000,000
- Determine the value of each digit in numbers with up to 7 digits
- Count forwards or backwards in steps of powers of 10 (for any given number up to 1,000,000)
- Interpret negative numbers in context, counting through zero
- Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000, or 100,000
- Read Roman numerals to 1,000 (M); recognise years written in Roman numerals
Worked Example: Rounding
Round 367,482 to the nearest 10,000.
Look at the thousands digit (7). It is 5 or more, so round up: 370,000.
Multiplication, Division, and Primes
By Year 5, children should have secured all times tables up to 12 × 12. The focus shifts to applying this knowledge in more complex calculations:
- Multiply numbers up to 4 digits by one- or two-digit numbers using formal written methods (short and long multiplication)
- Divide numbers up to 4 digits by a one-digit number using short division, interpreting remainders appropriately
- Multiply and divide by 10, 100, and 1,000
- Recognise and use square numbers (e.g. 1, 4, 9, 16, 25…) and cube numbers (e.g. 1, 8, 27, 64, 125…)
- Know and use the vocabulary of prime numbers, prime factors, and composite (non-prime) numbers
- Establish whether a number up to 100 is prime, and recall prime numbers up to 19
Prime Numbers to 50
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Note: 1 is not a prime number. 2 is the only even prime number. These are common trick questions.
Worked Example: Long Multiplication
Calculate 2,347 × 36
2,347 × 6 = 14,082. 2,347 × 30 = 70,410. Total: 14,082 + 70,410 = 84,492.
Fractions, Decimals, and Percentages
This is one of the biggest areas in Year 5 — and one where many children need extra support. The curriculum brings fractions, decimals, and percentages together as a unified system for the first time:
- Compare and order fractions whose denominators are multiples of the same number
- Identify, name, and write equivalent fractions, including tenths and hundredths
- Add and subtract fractions with the same denominator and with different denominators (where one is a multiple of the other)
- Multiply proper fractions and mixed numbers by whole numbers
- Read and write decimal numbers as fractions (e.g. 0.71 = 71/100)
- Recognise the per cent symbol (%) and understand percentage as parts per hundred
- Write percentages as a fraction with denominator 100, and as a decimal
The Key Conceptual Leap
The connection between fractions, decimals, and percentages is the single most important concept in Year 5 maths. A child who understands that ½ = 0.5 = 50% — and can move fluently between the three forms — will find Year 6 fractions much more manageable.
Worked Example: Adding Unlike Fractions
Calculate ¼ + ³⁄₈
Convert ¼ to eighths: ¼ = ²⁄₈. Now ²⁄₈ + ³⁄₈ = ⁵⁄₈.
Geometry and Measurement
Angles
Year 5 introduces angles formally for the first time:
- Know angles are measured in degrees; estimate and compare acute, obtuse, and reflex angles
- Draw given angles and measure them with a protractor (to the nearest degree)
- Identify angles at a point (360°), on a straight line (180°), and vertically opposite angles
Worked Example: Missing Angle
Two angles on a straight line are 65° and x°. Find x.
Angles on a straight line = 180°. So x = 180 − 65 = 115°.
Shapes and Properties
- Identify 3D shapes from 2D representations
- Use the properties of rectangles to find missing lengths and angles
- Distinguish between regular and irregular polygons
Measurement
- Convert between different units of metric measure (km/m/cm/mm, kg/g, l/ml)
- Understand and use approximate equivalences between metric and imperial units (e.g. 1 inch ≈ 2.54 cm)
- Calculate the perimeter and area of rectangles; estimate the area of irregular shapes
- Use all four operations to solve problems involving measure
Statistics
- Solve comparison, sum, and difference problems using information presented in tables and line graphs
- Complete, read, and interpret information in tables, including timetables
How to Support Your Child at Home
1. Consolidate Times Tables
If your child's times table recall is not yet fluent, Year 5 is the last chance to secure it before SATs. Everything from long multiplication to fraction equivalences depends on it. Five minutes a day of rapid-fire practice makes a real difference.
2. Practise the FDP Connection
Get your child comfortable converting between fractions, decimals, and percentages. Use everyday contexts: “What is 25% as a fraction?” “If ¾ of the class passed, what percentage is that?”
3. Use Real-World Measurement
Cooking (doubling a recipe, converting grams to kilograms), DIY (measuring lengths), and travel (reading timetables, estimating distances) all reinforce Year 5 measurement concepts naturally.
4. Address Gaps Now, Not in Year 6
If your child is struggling with a Year 5 topic, address it now. The Year 6 curriculum builds directly on Year 5 foundations — a gap in fraction arithmetic in Year 5 becomes a wall in Year 6.
5. Keep It Positive
Year 5 is the year when maths can start to feel “hard” for children who found it comfortable before. Normalise struggle, celebrate effort, and keep practice sessions short and low-pressure.
Frequently Asked Questions
Do Year 5 children sit any tests?
There are no national tests in Year 5. However, most schools run internal assessments in the autumn and spring terms to track progress and identify gaps before Year 6.
What are the hardest Year 5 topics?
Fractions with different denominators, long multiplication, and angles tend to be the areas where children need the most support. Prime numbers can also cause confusion initially.
Should I start SATs revision in Year 5?
Not formal SATs revision — that belongs in Year 6. But consistent daily practice in Year 5 is the best SATs preparation you can do. A child who enters Year 6 with secure foundations needs far less cramming.
My child passed the MTC in Year 4 but is still slow with tables. Is that a problem?
Yes — the MTC threshold is quite generous (around 20/25). For Year 5 and beyond, children need rapid, automatic recall of all facts to 12 × 12. If recall is slow, keep practising daily.
How much maths homework should a Year 5 child be doing?
Schools vary, but DfE guidance suggests around 30 minutes per day of homework in total for Year 5 (across all subjects). For maths specifically, 10–15 minutes of focused practice is an effective amount.
What is the difference between Year 5 and Year 6 fractions?
In Year 5, children add fractions where one denominator is a multiple of the other (e.g. ¼ + ³⁄₈). In Year 6, they add fractions with any denominators (e.g. ⅓ + ¼), multiply fractions together, and divide fractions by whole numbers.