Topics
Years 1 to 6, with Year 7 bridging for the move to secondary school.
Year 1 Key Stage 1
Mathematics
Number bonds to 10
1NF-1 — Fluency in addition and subtraction facts within 10
Two parts make a whole. Knowing the pairs that make 10 makes every later sum easier.
0/3 attempted
Mathematics
Counting on, counting back and the number line
1NPV-1, 1NPV-2, 1NF-2 — Count within 100; place numbers to 20; count in 2s, 5s and 10s
Each number is one more than the one before. A number line shows where every number lives.
0/3 attempted
Mathematics
Reading +, − and =
1AS-2 — Read, write and interpret equations containing +, − and =
The = sign means 'is the same as'. Both sides must be equal.
0/3 attempted
Mathematics
2D and 3D shapes
1G-1, 1G-2 — Recognise 2D and 3D shapes in any orientation; compose shapes
A shape is named by its sides, corners and faces — not by which way up it is.
0/3 attempted
Mathematics
Time, money and length
1M-1, 1M-2 — Compare lengths; recognise coins; tell the time to the hour
The short hand tells the hour. Coins are counted by their value, not their size.
0/3 attempted
Year 2 Key Stage 1
Mathematics
Tens and ones
2NPV-1 — Place value of each digit in two-digit numbers
In a two-digit number, the left digit counts tens and the right digit counts ones.
0/3 attempted
Mathematics
Adding and subtracting within 100
2NF-1, 2AS-1, 2AS-3, 2AS-4 — Facts within 10; bridge 10; use tens and ones
Make 10 first, then add the rest. For bigger numbers, add the tens and the ones separately.
0/3 attempted
Mathematics
Subtraction as difference
2AS-2 — Recognise the subtraction structure of 'difference'
The difference is the gap between two numbers. When they are close, count on.
0/3 attempted
Mathematics
Equal groups, sharing and grouping
2MD-1, 2MD-2 — Repeated addition; grouping problems as division
Multiplication counts equal groups. Division asks how many groups, or how many in each.
0/3 attempted
Mathematics
Halves, quarters and thirds
2M-1 — Find 1/3, 1/4, 2/4 and 3/4 of a length, shape or quantity
A fraction is one or more equal parts of a whole. The bottom number is how many equal parts.
0/3 attempted
Mathematics
Sides, vertices and shape names
2G-1 — Use precise language to describe the properties of 2D shapes
We name flat shapes by counting their straight sides and vertices (corners).
0/3 attempted
Mathematics
Money, time and pictograms
2M-2, 2S-1 — Use £ and p; tell the time to 5 minutes; read pictograms
Count coins by value. The long hand shows minutes. A pictogram key tells you what each picture is worth.
0/3 attempted
Year 3 Lower Key Stage 2
Mathematics
Multiplication as equal groups
3NF-2 — Recall multiplication facts for the 2, 4, 5, 8 and 10 tables
Multiplication counts equal groups. An array shows the groups as rows.
0/3 attempted
Mathematics
Hundreds, tens and ones
3NPV-1 to 3NPV-4 — 10 tens = 100; place value and position of 3-digit numbers; divide 100
Ten tens make a hundred. Where a digit sits tells you what it is worth.
0/3 attempted
Mathematics
Adding and subtracting: mental and column methods
3NF-1, 3NF-3, 3AS-1 to 3AS-3 — Facts that bridge 10; scale facts by 10; complements to 100; columns
Known facts scale up by 10. In columns, exchange when the top digit is too small.
0/3 attempted
Mathematics
Using times tables to solve problems
3MD-1 — Apply multiplication and division facts to solve contextual problems
Ask: do I know the groups and the size (multiply), or the total (divide)?
0/3 attempted
Mathematics
Fractions: parts, amounts and adding
3F-1 to 3F-4 — Proper fractions; unit fractions of amounts; position; add with same denominator
The denominator names the size of the part. Fewer parts means bigger parts.
0/3 attempted
Mathematics
Right angles, lines and perimeter
3G-1, 3G-2, 3M-1 — Right angles; perpendicular and parallel lines; perimeter
A right angle is a square corner. Perimeter is the distance all the way round.
0/3 attempted
Year 4 Lower Key Stage 2
Mathematics
Mixed numbers and improper fractions
4F-2 — Convert mixed numbers to improper fractions and vice versa
A mixed number is wholes and a fraction; an improper fraction counts all the parts.
0/3 attempted
Mathematics
Thousands: place value and the number line
4NPV-1 to 4NPV-4 — 10 hundreds = 1,000; 4-digit place value; position; divide 1,000
Ten hundreds make a thousand. Each place is worth ten times the place to its right.
0/3 attempted
Mathematics
Times tables to 12 × 12 and remainders
4NF-1, 4NF-2 — Recall facts to 12 × 12; solve division problems with remainders
Know every fact to 12 × 12. When sharing does not come out exactly, what is left is the remainder.
0/3 attempted
Mathematics
Multiplying and dividing by 10 and 100
4NF-3, 4MD-1 — Scale facts by 10 and 100; multiply and divide whole numbers by 10 and 100
× 10 moves every digit one place to the left. × 100 moves it two places. Dividing moves digits right.
0/3 attempted
Mathematics
Fact families and splitting numbers to multiply
4MD-2, 4MD-3 — Manipulate multiplication and division equations; the distributive property
One fact gives you three more. A big number can be split into tens and ones, and each part multiplied.
0/3 attempted
Mathematics
Mixed numbers on the line; adding and subtracting fractions
4F-1, 4F-3 — Mixed numbers on the number line; add and subtract fractions with the same denominator
When the parts are the same size, add or subtract the numerators. The denominator stays the same.
0/3 attempted
Mathematics
Polygons, symmetry and perimeter
4G-1 to 4G-3 — Polygons and their sides; regular polygons; lines of symmetry; perimeter
A regular polygon has all sides equal and all angles equal. A line of symmetry folds a shape onto itself.
0/3 attempted
Mathematics
Reading bar charts and time graphs
4S-1 — Interpret and present data in bar charts and time graphs
Read the scale first. Then compare bars, or read how a value changes over time.
0/3 attempted
Year 5 Upper Key Stage 2
Mathematics
Tenths, hundredths and decimal place value
5NPV-1 — 10 tenths = 1; 10 hundredths = 0.1
Each place is ten times the size of the place to its right — also after the decimal point.
0/3 attempted
Mathematics
Decimals on the number line; splitting 1
5NPV-3, 5NPV-4 — Position of numbers with up to 2 decimal places; divide 1 into 2, 4, 5 and 10 parts
Between any two whole numbers there are tenths, and between tenths there are hundredths.
0/3 attempted
Mathematics
Converting units of measure
5NPV-5 — Convert between units of measure (km/m, m/cm, kg/g, l/ml)
1 km = 1,000 m, 1 m = 100 cm, 1 kg = 1,000 g, 1 litre = 1,000 ml. Change to the same unit before comparing.
0/3 attempted
Mathematics
Times tables with decimals; scaling by 10 and 100
5NF-1, 5NF-2, 5MD-1 — Facts × 0.1; place value with decimal facts; × and ÷ 10, 100 as scaling
If you know 7 × 8 = 56, you know 0.7 × 8 = 5.6: one number is ten times smaller, so the answer is too.
0/3 attempted
Mathematics
Factors, multiples and prime numbers
5MD-2 — Find factors and multiples; identify prime numbers
Factors divide into a number exactly. Multiples are in its times table. A prime has exactly two factors.
0/3 attempted
Mathematics
Written multiplication and short division
5MD-3, 5MD-4 — Multiply by a one-digit number; divide up to 4 digits by a one-digit number
Work column by column and carry or exchange. In a problem, decide what a remainder means.
0/3 attempted
Mathematics
Fractions of amounts and equivalent fractions
5F-1, 5F-2 — Non-unit fractions of quantities; equivalent fractions have the same value
To find 3/4, find 1/4 then times by 3. Multiply top and bottom by the same number to get an equal fraction.
0/3 attempted
Mathematics
Angles in degrees and area of rectangles
5G-1, 5G-2 — Compare, estimate and measure angles; calculate the area of rectangles
A right angle is 90°. Area is the number of squares inside: length × width.
0/3 attempted
Year 6 Upper Key Stage 2
Mathematics
Numbers to ten million
6NPV-1 to 6NPV-3 — Place value, position and order of numbers up to 10,000,000
Read big numbers in groups of three digits: millions, thousands, ones.
0/3 attempted
Mathematics
Splitting powers of ten; scaling known facts
6NPV-4, 6NF-1 — Divide powers of 10 into 2, 4, 5 and 10 parts; apply place value to known facts
A quarter of 1 is 0.25, so a quarter of 10,000 is 2,500. A known fact works at any place value.
0/3 attempted
Mathematics
Additive and multiplicative relationships
6AS/MD-1, 6AS/MD-2 — Numbers related additively or multiplicatively; derive related calculations
4 → 12 is '+ 8' and also '× 3'. One calculation can unlock many others.
0/3 attempted
Mathematics
Problems with two unknowns
6AS/MD-4 — Solve problems with two unknowns
When two amounts are unknown, use both facts. A bar model shows how they fit together.
0/3 attempted
Mathematics
Simplifying, common denominators and comparing fractions
6F-1 to 6F-3 — Simplify using common factors; express in a common denomination; compare
Divide top and bottom by a common factor to simplify. Use the same denominator to compare or add.
0/3 attempted
Mathematics
Building and naming shapes from their properties
6G-1 — Draw, compose and decompose shapes according to given properties
Shapes are named by their properties: equal sides, parallel sides and right angles.
0/3 attempted
Mathematics
Pie charts, line graphs and the mean
6S-1 — Interpret pie charts and line graphs; calculate the mean
A pie chart shows fractions of a total. The mean shares the total out equally.
0/3 attempted
Mathematics
Multiplying fractions by whole numbers
Y5 statutory, revisited in Year 6 — Multiply proper fractions by whole numbers
Repeated groups of a fraction: the denominator names the part, the numerator counts it.
0/4 attempted
Mathematics
Fractions, decimals and percentages
6F11 — Recall and use equivalences between FDP
Three ways to write the same proportion of a whole.
0/3 attempted
Mathematics
Ratio and proportion
6R3 — Solve problems involving unequal sharing
Comparing part to part, and scaling a whole into shares.
0/3 attempted
Mathematics
Angles and geometric properties
6G4 — Find unknown angles in triangles, quadrilaterals and on lines
Angle facts as tools for reasoning about unseen measurements.
0/3 attempted
Year 7 bridging Year 7 bridging
Mathematics
Calculating with negative numbers
7N-1 — KS3: use the four operations with negative numbers
On a number line, adding moves right and subtracting moves left — even below zero.
0/3 attempted
Mathematics
Ratio notation and sharing in a ratio
7R-1 — KS3: use ratio notation, simplify ratios and divide a quantity in a given ratio
A ratio like 2 : 3 means 5 equal parts in total. Find one part, then scale.
0/3 attempted
Mathematics
Variables and sequences
6A2 — Use simple formulae; generate linear sequences
Letters stand for numbers we do not yet know, or numbers that can change.
0/3 attempted