Maths Years 3 to 6

Maths topics, explained

Each page takes one objective of the national curriculum: what it is, a worked example, four questions to try and the mistakes children often make with it. These are the topics where Remelia names the most different mistakes.

Year 3

Place value in 3-digit numbersRecognise the place value of each digit in a 3-digit number (100s, 10s, 1s)
Column addition and subtractionAdd and subtract numbers up to 3 digits using formal columnar methods
Equivalent fractionsRecognise and show, using diagrams, equivalent fractions with small denominators
Adding and subtracting fractionsAdd and subtract fractions with the same denominator within one whole

Year 4

Dividing by 10 and 100Find the effect of dividing a 1- or 2-digit number by 10 and 100; identify ones, tenths, hundredths
Converting units of measureConvert between different units of measure (km→m; hour→minute)
Fractions of amountsSolve problems with harder fractions to calculate and to divide quantities, including non-unit fractions where the answer is a whole number
Adding and subtracting fractionsAdd and subtract fractions with the same denominator
Column addition and subtractionAdd and subtract numbers with up to 4 digits using formal columnar methods
Families of equivalent fractionsRecognise and show, using diagrams, families of common equivalent fractions
Tenths and hundredths as decimalsRecognise and write decimal equivalents of any number of tenths or hundredths

Year 5

Converting metric unitsConvert between different units of metric measure (km/m; cm/m; cm/mm; g/kg; l/ml)
Place value to a millionRead, write, order and compare numbers to at least 1,000,000; determine the value of each digit
Column addition and subtraction with large numbersAdd and subtract whole numbers with more than 4 digits, including formal columnar methods
Equivalent fractionsIdentify, name and write equivalent fractions, including tenths and hundredths
Mixed numbers and improper fractionsRecognise mixed numbers and improper fractions and convert between them

Year 6

Converting units to 3 decimal placesConvert between standard units of length, mass, volume and time, smaller→larger and larger→smaller, to 3 d.p.
Place value to ten millionRead, write, order and compare numbers up to 10,000,000; determine the value of each digit
Decimals multiplied and divided by 10, 100 and 1,000Identify the value of each digit to 3 d.p.; multiply and divide by 10, 100, 1,000 giving answers to 3 d.p.
Unit conversion problemsSolve problems involving calculation and conversion of units of measure, using decimals to 3 d.p.