MATHSBOX - Primary - Christmas Trial
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4 Questions
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2 Questions
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Up to 10 questions
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Exit tickets
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bingo game
Relay Maker
Up to 20 cards
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Number
Algebra
Proportion
Geometry
Statistics
Bidmas
Decimals
Directed Numbers
Equivalence
Estimation
Finance
Fractions
Indices
Integers
Place Value
Types of numbers
Using a calculator
BIDMAS
Positive Integers
Order of operations (1): \( a - b + c \times d \)
Order of operations (2): \( a + b + c \times d \)
Order of operations (3): \( a + b \times c \)
Order of operations (4): \( a - b \times c \)
Order of operations (5): \( a + b \div c \)
Order of operations (6): \( a - b \div c \)
Order of operations (7): \( a \times b - c \times d \)
Order of operations (8): \( a \times b + c \times d \)
Order of operations (9): \( a + (b + c ) \times d \)
Order of operations (10): \( (a + b) \times c \)
Order of operations (11): \( (a - b) \times c \)
Order of operations (12): \( a - (b + c ) \times d \)
Positive integers
Order of operations (13): \( a \times (b - c) \)
Order of operations (14): \( (a - b) \times c \)
Order of operations (15): \( (a + b) \div c \)
Order of operations (16): \( a \div (b + c) \)
Order of operations (17): \( (a - b) \div c \)
Order of operations (18): \( a \div (b - c) \)
Order of operations (19): \( a(b - c) + d \)
Order of operations (20): \( a(b + c) + d \)
Order of operations (21): \( a \times (b - c)^2 \)
Order of operations (22): \( (a - b)^2 \)
Order of operations (23): \( (a + b)^2 \)
Order of operations (24): \( a \times (b - c) \times d \)
Directed numbers
Order of operations - directed numbers mixture
Order of operations(1): \( a - b + c \times d \)
Order of operations(2): \( a - (b + c ) \times d \)
Order of operations(3): \( a + b + c \times d \)
Order of operations(4): \( a + (b + c ) \times d \)
Order of operations(5): \( a \times (b - c)^2 \)
Order of operations(6): \( a - b^2 \)
Order of operations(7): \( a + b^2 \)
Order of operations(8): \( a \times (b - c) \times d \)
Order of operations(9): \( a \times b - c \times d \)
Directed numbers
Order of operations(10): \( a \times b + c \times d \)
Order of operations(11): \( (a + b) \times c \)
Order of operations(12): \( a \times (b - c) \)
Order of operations(13): \( (a - b ) \times c \)
Order of operations(14): \( a \div (b + c) \)
Order of operations(15): \( a \div (b - c) \)
Order of operations(16): \( a + b \times c \)
Order of operations(17): \( a - b \times c \)
Order of operations(18): \( a + b \div c \)
Decimals
Complements
Complements to 1 - hundredths
Complements to 1 - tenths and hundredths
Complements to 1 - thousandths
Addition
Add decimals across 1
Counting in tenths
Add decimals - hundredths
Add decimals - tenths and hundredths
Add decimals - same number of d.p
Add decimals (up to 2 d.p)
Add decimals (up to 3 d.p)
Ordering and comparing
Comparing tens and tenths
Ordering decimals (up to 2 d.p.)
Subtraction
Subtract decimals within 1 (hundredths)
Subtract decimals within 1 (tenths and hundredths)
Subtract decimals across 1
Subtract decimals (same d.p)
Subtract decimals (up to 2 d.p.)
Subtract decimals (up to 3 d.p.)
Multiplication
Multiplying by 10
Multiplying by 100
Multiplying by 1000
Multiplying by 10,100,1000 missing values
Multiplying a decimal by an integer
Multiplying by multiples of 10 or decimals
Use known facts - multiplication (inc decimals)
Multiplying decimals (written methods)
Division
Dividing a 1 digit number by 10
Dividing a 2 digit number by 10
Dividing a 1 digit number by 100
Dividing a 2 digit number by 100
Dividing (up to 3 digit number) by 10
Dividing (up to 3 digit number) by 100
Dividing (up to 3 digit number) by 1000
Dividing by 10 (including decimals)
Dividing by 100 (including decimals)
Dividing by 1000 (including decimals)
Missing values ÷ 10, 100, 1000
Dividing a decimal by and integer
Directed Numbers
Temperatures and Ordering
Comparing temperatures
Comparing directed numbers
Ordering temperatures
Calculating temperature after an increase
Calculating temperature after a decrease
Finding the difference between two temperatures
Arithmetic
Counting in 1's (negative numbers)
Counting in 2,3,4 5 etc
Addition crossing zero
Subtraction crossing zero
Equivalence
Decimals and fractions
Decimals as fractions
Fraction as a decimal (1)
Fraction as decimal (2)
Decimals and fractions - tenths
Decimals and fractions - hundredths
Write division as a fraction
Use division - fraction as a decimal
Decimals and percentages
Decimal as a percentage less than 100
Percentage as a decimal less than 100
Mixture less than 100
Decimals and fractions
Fractions as percentages
Percentages to fractions (<100)
Mixture
Fractions, decimals and percentages
Estimation
Rounding to the nearest
Rounding to the nearest 10
Rounding to the nearest 100
Rounding to the nearest 1000
Mixed Rounding up to 10,000
Round within 1,000,000
Round within 1,000,000,000
Mixed rounding up to 10000000
Rounding to the nearest integer
Rounding to the nearest tenth
Rounding to the nearest hundredth
Decimal places
Rounding to 1 decimal place
Significant figures
Rounding to 1 significant figure (integers)
Rounding to 1 significant figure (decimals)
Rounding to 1 significant figure
Estimating answers
Estimation (1): \( \frac{a + b }{c} \)
Estimation (2): \( \frac{a - b }{c} \)
Estimation (3): \( \frac{a \times b }{c} \)
Estimation (4): \( a \times b \)
Estimation (5): \( a + b \)
Estimation (6): \( a - b \)
Mixture
Types of numbers
Identifying Integers
Identifying Positive Integers
Identifying Negative Integers
Identifying Integers
Odd and even numbers
Listing even numbers
Listing odd numbers
Factors
Finding factors
Using factor pairs
Finding common factors
Finding the HCF
Multiples
Listing multiples of 2
Listing multiples of 5 and 10
Listing multiples of 2
Finding multiples of a number
Listing multiples - mixture
Finding common multiples
Finding the lowest common multiple
Prime numbers
Listing prime numbers
Square and cubes
Listing square numbers
Cube numbers
Cube and square numbers
Square roots and intervals
Finance
Working with money (non decimal)
Pence and pounds (755p = £7 and 55p)
Adding money (within a pound)
Adding money
Subtracting money (within a pound)
Subtracting money
Calculating change from £1
Calculating change from £5
Calculating change from £10
Working with money (decimal)
Adding money - decimals
Subtracting money - decimals
Addition and Subtraction - mixture
Calculating change from £1 as a decimal
Calculating change from £5 as a decimal
Calculating change from £10 as a decimal
Calculating change mixture
Problems in context
Multiplication problems
Finding the difference
Totals and change
Tickets and change
Multiply and divide in context
Problem solving with money
Fractions
Equivalence and simplifying
Find fractions equivalent to a unit fraction
Find fractions equivalent to a non-unit fraction
Comparing and ordering
Comparing unit fractions
Comparing non-unit fractions
Comparing fractions less than 1
Ordering fractions less than 1
Comparing fractions greater than 1
Order unit fractions
Order non-unit fractions
Compare Mixed numbers
Mixed Numbers and Improper fractions
Count beyond 1 (unit fractions)
Count beyond 1 (increasing)
Count beyond 1 (decreasing)
Partition a mixed number
Improper fractions equivalent to whole(s)
Mixed numbers to improper fractions
Improper fractions to mixed numbers
Order Mixed numbers
Fraction of a quantity
Unit fraction of a quantity (up to × 12 )
Unit fraction of a quantity
Non-unit fraction of a quantity
Comparing fractions quantities
Find the whole - given a unit fraction
Find the whole - given a fraction
Addition
Partition the whole (1): \( \frac{2}{5}+\frac{?}{5} = 1 \)
Partition the whole (2):\( \frac{2}{5}+\frac{1}{5}+\frac{?}{5} = 1 \)
Add fractions within 1
Add fractions total greater than 1
Add any two proper fractions
Add a proper fraction to a mixed number
Adding mixed numbers (1) - same den
Adding mixed numbers (2) - common multiple
Adding mixed numbers (3)
Subtraction
Subtracting fractions from a whole
Subtracting fractions - same denominator
Subtract fractions (common multiple den)
Subtract fractions
Subtract a whole from a mixed number
Fraction from a mixed number (1)
Fraction from a mixed number (2)
Fraction from a mixed number (3)(across a whole)
Subtract mixed numbers (1)
Subtract mixed numbers (2)
Addition and Subtraction
Fractions and decimals - tenths and hundredth
Fractions (common multiple denominators)
Fractions
Mixed numbers (common multiple denominators)
Mixed numbers
Fractions and decimals (answer as a fraction)
Fractions and decimals (answer as a decimal)
Multiplication
Multiply - Unit fraction by an integer
Find the product of a pair of unit fractions
Multiply - fraction by an integer
Multiply - mixed number by an integer
Multiply mixed numbers
Division
Dividing a unit fraction by an integer
Divide an integer by a fraction
Dividing a fraction by an integer
Divide a fraction by a unit fraction
Divide any pair of fractions
Divide mixed numbers
Indices
Evaluating - positive integer powers
Integers
Add/Subtract 1's ,10's ,100's
Number bonds to 10(0)
Add 1's
Subtract 1's across 10
Add and subtract 1's - missing values
Add 10's
Subtract 10's
Add and subtract 10's
Add and subtract 100's
Add and subtract 1's 10's or 100's
Addition
Add a 2 digit to a 3 digit number
Add two 3 digit numbers (no exchanges)
Add two 3 digit numbers (across 10)
Add two 3 digit numbers across a 10 and/or 100
Add two 3 digit numbers
Add up to 4-digit numbers – no exchange
Add up to 4-digit numbers – one exchange
Add two 4-digit numbers – more than one exchange
Addition - More than 4 digits
Addition - up to 1000000
Subtraction
Subtract a 2 digit from a 3 digit numbers
Subtract two 3 digit numbers (no exchanges)
Subtract two 3 digit numbers across a 10
Subtract two 3 digit numbers across a 100
Subtract two 3 digit numbers across a 10 or 100
Subtract two 4-digit numbers – no exchange
Subtract two 4-digit numbers – (1 exchange)
Subtract two 4-digit numbers – (1+ exchange)
Subtraction - More than 4 digits
Subtraction - numbers up to 1000000
Times Tables
Multiplying by 3
Dividing by 3
Multiplying by 4
Dividing by 4
Multiplying by 8
Dividing by 8
Divide a number by 1 and itself
Multiply by 1 and 0
Multiply and divide by 6
Multiply and divide by 9
Multiply and divide by 7
Multiply and divide by 11
Multiply and divide by 12
Comparing single digit multiplication calculations
Multiply 3 numbers
Multiplication
Using factor pairs
Multiplying - 2 digit by a single digit
Comparing calculation involving multiples of 10
Multiply a 2 digit by a 1 digit number - no exchange
Multiply a 2 digit by a 1 digit number - with exchange
Multiply a 3 digit by a 1 digit number
Multiply a 4 digit by a 1 digit number
Multiply - by 10
Multiply by 100
Multiply by 10,100 or 1000
Multiply by 0.1 or 0.01
Multiply - 2 digit by 2 digit
Multiply - 3 digit by 2 digit
Multiply - 4 digit by 2 digit
Multiplication - by multiples of 10,100,1000
Use factors to simplify multiplication calculations
Comparing related products
Division
Division - related calculations
Dividing by 10
Dividing by 100
Dividing by 10,100 or 1000
Division - by multiples of 10,100,1000
2-digit ÷ 1-digit - no exchange
2-digit ÷ 1-digit- with exchange
2-digit ÷ 1-digit- with remainders
3-digit ÷ 1-digit
3-digit ÷ 1-digit- with remainders
Division - 3 or 2 digit by 1 digit
Division - with remainders as decimals
Division - with remainders as fractions
Division - 4 digit by 1 digit (no remainders)
Division - 4 digit by 1 digit (with remainders)
Division - 3 or 4 digit by 2 digit numbers
Inverse operations and language
Addition up to 100 (1)
Addition up to 1000 (2)
Addition up to 10000 (3)
Subtraction up to 100 (4)
Subtraction up to 1000 (5)
Subtraction up to 10000 (6)
Finding the sum
Finding the product
Finding the difference
Mixture
Comparing calculations - addition and subtraction
Inverse operations - addition and subtraction
Missing numbers in equivalent calculations
Complements to 100
Multiplication and Division - by multiples of 10
Comparing multiplication and division calculations
Multiplication and division - multiple powers of 10
Related calculations - multiplication and division
Place Value
Roman numerals
Roman numerals to figures (12)
Figures to Roman numerals (12)
Roman numbers to figures (100)
Roman numbers to figures (1000)
Reading and writing numbers
Words to figures up to 1000
Making large and small numbers (5 digits)
Words to figures to 1,000
Words to figures to 100,000
Words to figures up to 1,000,000
Words to figures up to 1 billion in figures
Place value and partitioning
Partition numbers up to 100
Hundreds and tens - equivalence
Place value in numbers up to 1000
Partition numbers to 1000
1's, 10's, 100's, 1000's equivalence
Partition numbers up to 10,000
Flexible partitioning of numbers to 10,000
Place value in numbers up to 1,000,000
Partition numbers up to 1,000,000
Place value within 1
Place value - integers and decimals
Place value - decimals (up to 3 d.p.)
Ordering and comparing
Compare numbers up to 1000
Comparing numbers up to 1000 using < or >
Comparing numbers up to 10,000 using < or >
Comparing numbers up to 100,000
Comparing numbers up to 1,000,000
Order numbers up to 1000
Order numbers up to 10,000
Order numbers up to 100,000
Order numbers up to 1,000,000
Order numbers up to 10,000,000
Order numbers up to 100,000,000
More or less
Finding 10 or 100 more than a number
Finding 10 or 100 less than a number
Finding 10, 100 or 1000 more (1,000)
Finding 10, 100 or 1000 less (1,000)
Finding 10, 100 or 1000 more (10,000)
Finding 10, 100 or 1000 less (10,000)
Finding 10, 100 or 1000 more (1,000,000)
Finding 10, 100 or 1000 less (1,000,000)
Multiples of powers of 10 more than a number
Multiples of powers of 10 less than a number
More or less
Finding 1 more or less than a number
Finding 10 more or less than a number
Finding 100 more or less than a number
Finding 10 or 100 more or less than a number
Powers of 10 more/less
Multiples of powers of 10 more/less
Related Calculations
(1)Finding \( 10a \times b \)
(2)Finding \( a \times 10b \)
(3)Finding \( a \div 10 \times b \)
(4)Finding \( a \times b \div 10 \)
(5)Finding \( a \div 10 \times b \div 10 \)
(6)Finding \( a \div 10 \times 10b \)
(7)Finding \( 10a \times b \div 10 \)
(8)Finding \( a \div 100 \times b \)
(9)Finding \( a \times b \div 100 \)
(10)Finding \( a \div 100 \times 10b \)
(11)Finding \( 10a \times b \div 100 \)
(12)Finding \( a \times (b+1) \)
(13)Finding \( (a+1) \times b \)
(14)Finding \( a \times (b-1) \)
(15)Finding \( (a-1) \times b \)
Related Calculations
(16)Finding \( 2a \times b \)
(17)Finding \( a \times 2b \)
(18)Finding \( (a-1) \div 10 \times b \)
(19)Finding \( a \times (b-1) \div 10 \)
(20)Finding \( (a+1) \div 10 \times b \)
(21)Finding \( a \times (b+1) \div 10 \)
(22)Finding \( (a-1) \div 100 \times b \)
(23)Finding \( a \times (b-1) \div 100 \)
(24)Finding \( (a+1) \div 100 \times b \)
(25)Finding \( a \times (b+1) \div 100 \)
(26)Finding \( a \div 10 \times (b+1) \div 10 \)
(27)Finding \( a \div 10 \times (b-1) \div 10 \)
(28)Finding \( (a+1) \div 10 \times b \div 10 \)
(29)Finding \( (a-1) \div 10 \times b \div 10 \)
Using a calculator
Positive values
Squares and square roots mixture
Using a calculator (1): \( a \times \sqrt{b} \)
Using a calculator (2): \( a \times \sqrt{b} + \sqrt{c} \)
Using a calculator (3): \( a \times b^2 + \sqrt{b} \)
Using a calculator (4): \( a \times b^2 + \sqrt{c \times d } \)
Using a calculator (5): \( \sqrt{a} \times b + c \times \sqrt{d} \)
Using a calculator (6): \( \sqrt{a \times b^2} + c \times \sqrt{d} \)
Using a calculator (7): \( a \times \sqrt{b} - \sqrt{c} \)
Using a calculator (8):\( a \times b^2 - \sqrt{c} \)
Using a calculator (9): \( a \times b^2 - \sqrt{c\times d} \)
Using a calculator (10): \( \sqrt{a \times b} - c \times \sqrt{d} \)
Using a calculator (11):\( \sqrt{a \times b^2} - c \times \sqrt{d} \)
Using a calculator (12):\( a - \frac{b}{c} \)
Using a calculator (13):\( \sqrt{a - b} + c\)
Using a calculator (14):\( \sqrt{a^2 - b} - \sqrt{c} \)
Using a calculator (15):\( \sqrt[3]{a+\frac{c}{b}} \)
Using a calculator (16):\( \sqrt[3]\frac{a}{b}+ c^3 \)
Using a calculator (17):\( a^2 + b^3 + c^4 \)
Using a calculator (18):\( \frac{b}{a} \times 10^3 \)
Using a calculator (19):\( \frac{a}{b+c}\)
Linear Equations
Function Machines
Sequences
Simplifying
Substitution
Linear Equations
Forming equations and expressions
Forming single step expressions
Forming equations 1 step
One-step equations
One step equations (1): \( x + a = b \)
One step equations (2): \( x - a = b \)
One step equations (3): \( a - x = b \)
One step equations (4): \( ax = b \)
One step equations (5): \( \frac{x}{a} = b \)
One step equations Mixture
Two step equations
Positive solutions (1): \( ax + b = c \)
Positive solutions (2): \( ax - b = c \)
Positive solutions (3): \( a - bx = c \)
Negative solutions (4): \( ax + b = c \)
Negative solutions (5): \( ax - b = c \)
Negative solutions (6):\( a - bx = c \)
Postive mixture
Postive/Negative mixture
Function Machines
One-step finding the output
Find the output (1) : \( + a \)
Find the output (2) : \( - a \)
Find the output (3) : \( × a \)
Find the output (4) : \( ÷ a \)
One-step input mixture (1 - 4)
Find the output - decimals (5) : \( + a \)
Find the output - decimals (6) : \( - a \)
Find the output - decimals (7) : \( × a \)
Find the output - decimals (8) : \( ÷ a \)
One-step output mixture (4 - 8)
Two-step finding the output
Find the output (1) \( \times a + b \)
Find the output (2) \( \times a - b \)
Find the output (3) \( + a \times b \)
Find the output (4) \( \div a + b\)
Find the output (5) \( \div a - b \)
Find the output (6) \( + a \div b \)
Find the output (7) \( -a \div b \)
Find the output (8) \( -a \times b\)
Two-step output mixture
One-step finding the input
Find the input (1) : \( + a \)
Find the input (2) : \( - a \)
Find the input (3) : \( × a \)
Find the input (4) : \( ÷ a \)
One-step input mixture (1 - 4)
Two-step finding the input
Find the input (1) \( \times a + b \)
Find the input (2) \( \times a - b \)
Find the input (3) \( + a \times b \)
Find the input (4) \( \div a + b\)
Find the input (5) \( \div a - b \)
Find the input (6) \( + a \div b \)
Find the input (7) \( -a \div b \)
Find the input (8) \( -a \times b\)
Two-step input mixture
Expressions
Find an expression for the output
Find the function
Missing functions
Two-step - missing functions
Sequences
Counting patterns and continuing
Counting in 50's
Contine a linear sequence (integers)
Counting in tenths
Counting in tenths hundredths
Directed numbers
Finding missing terms
Missing terms - linear sequences
Missing terms - tenths
Missing terms - hundredths
Missing terms - directed numbers
Generating sequences
Generate a sequence given the first term and rule
Simplifying Expressions
Collecting like terms
Simplifying -addition - single variable
Collecting like terms - Single variable (1)
Collecting like terms - Single variable (2) (across 0)
Collecting like terms - Two variables
Collecting like powers of a variable
Multipication and division
Multiplying terms (1)
Multiplying terms (2): \( a \times x \times b \times x \)
Multiplying terms (3): \( ax \times bx \)
Dividing terms (1)
Dividing terms (2) :\( ax \div b \)
Substitution
Postitve Integers
Substitution (1): \( x + a \)
Substitution (2): \( x - a \)
Substitution (3): \( ax \)
Substitution (4): \( \frac{a}{x} \)
Substitution (5): \( y = ax + b \)
Substitution (6): \( y = ax - b \)
Substitution (7): \( y =b - ax \)
Measures
Proportion
Percentages - non-calculator
Proportion
Mixed proportion problems
Solve problems involving scaling
Direct Proportion problems
Measures
Time
Time from a digital clock
am and pm when comparing times
Understanding the order of the months
Converting (1): years months days
Converting (2): weeks days hours
Converting (3): hours minutes
Converting time mixture
Minutes and seconds as seconds
Seconds as minutes and seconds
Comparing seconds and minutes and seconds
Time
Comparing time intervals
Calculate the time after - minutes
Calculate the time - before - minutes
Calculate the time Mixture
Calculating time intervals (1) (5 minutes)
Calculating time intervals (2)
Working out end times (3)
Working out start times (4)
Mixture (1) to (4)
Metric Measures - Length
Equivalence - km and m
Equivalence - m and cm
Equivalence -m and cm (decimals)
Equivalence - cm and mm
Equivalence - cm and mm (decimals))
Addition - mixed lengths
Subtraction - mixed lengths (1)
Subtraction - mixed lengths (2)
Comparing - km and m
Comparing - mixed units
Metric - Mass
Comparing - mixed measures
Addition - mixed measures
Subtraction - mixed measures
Metric - Capacity
Equivalence ml and litres
Addition- mixed measures
Subtraction - mixed measures
Imperial Measures
Miles and km
Inches and cm
Kilograms and pounds
Pints and gallons
Mixed imperial measures
Percentages non-calculator
Percentage of a quantity
Understanding percentages (35% = 3 x 10% + 5%)
50% of a quantity
25% and 50% of a quantity
10% of a quantity
10% and 20% of a quantity
20% of a quantity
10% and 5% of a quantity
Percentage of a quantity
5% of a quantity
5% 10% and 15% of quantity
5% 10% and 20% of a quantity
15% of a quantity
Multiples of 5%
Percentages - missing values
Mixed Questions
Expressing as a percentage
Calculate a percentage increase
Calculate a percentage decrease
Angles
Area and Perimeter
Volume and surface area
Angles
Classifying Angles and turns
Classifying angles
Angles (degrees) - clocks hands 5 mins intervals
Angles and polygons
Calculate missing angles triangles
Calculate angles in a quadrilateral
Interior angles - polygons
Bearings and compass directions
Compass directions and right angles
Area and Perimeter
Area
Calculate the area of a rectangle - non-calc
Height of a rectangle - non calc
Area of a rectangle mixture - non calc
Calculate the area of a rectangle - calc
Height of a rectangle - calc
Area of a rectangle mixture - calc
Area of a triangle - non-calc
Area of a triangle - missing length - non calc
Area of a triangle - mixture - non calc
Area of a triangle - calc
Area of a triangle - missing length - calc
Area of a triangle - mixture - calc
Area of a parallelogram
Area of a parallelogram - missing length
Perimeter
Rectangle - calculate the perimeter
Rectangle - calculate a missing length
Perimeter - square, rectangle and equilateral triangle
Calculate the perimeter of regular polygons
Side length - regular polygon perimeter known
Volume and surface area
Volume
Volume of a cuboid
Averages
Representing Data
Averages
Calculate the range
Calculate the mean - from a list
Mean given - find a missing value
Calculate the median
Find the mode
Representing Data
Pie Charts - calculating angles
Year 3
Year 4
Year 5
Year 6
(Year 7)
Term 1
Term 2
Term 3
Year 3 - Term 1
Place Value
Partition numbers up to 100
Hundreds and tens
Partition numbers up to 1000
Finding 1 more or less than a number
Finding 10 more or less than a number
Finding 100 more or less than a number
Finding 1,10 or 100 more or less
Compare numbers up to 1000
Counting in 50's
Addition
Number bonds within 10
Add 1's across 10
Add 10's across 100
Add two 3 digit numbers (no exchanges)
Add two 3 digit numbers (across 10)
Add two 3 digit numbers
Add two 3 digit numbers across a 10 and/or 100
Subtraction
Subtract 1's across 10
Subtract 10's across 100
Subtract two 3 digit numbers (no exchanges)
Subtract two 3 digit numbers across a 10
Subtract two 3 digit numbers across a 100
Subtract two 3 digit numbers across a 10 or 100
Subtract a 2 digit from a 3 digit numbers
Complements to 100
Addition and Subtraction
Add and subtract 1's
Add and subtract 10's
Add a 2 digit to a 3 digit number
Add and subtract a 2 digit from a 3 digit numbers
Add and subtract 100's
Add and subtract 1's 10's or 100's
Multiplication
Listing multiples of 2
Listing multiples of 5 and 10
Multiplying by 3
Multiplying by 4
Multiplying by 8
Division
Listing multiples of 2
Dividing by 3
Dividing by 4
Dividing by 8
Year 3 - Term 2
Multiplication
Multiplication - by 10
Comparing single digit multiplication calculations
Comparing calculation involving multiples of 10
2 digit by a 1 digit number - no exchange
2 digit by a 1 digit number - with exchange
Solve problems involving scaling
Division
Division - related calculations
Comparing multiplication and division calculations
2-dgit by a 1-digit number- no exchange
2-digit by a 1-digit number- with exchange
2-dgit by a 1-digit number- with remainders
Length and perimeter
Comparing measures in different units
Equivalent lengths (metres and centimetres)
Equivalent lengths (centimetres and millimetres)
Adding mixed lengths
Partition the whole \( \frac{2}{5}+\frac{?}{5} = 1 \)
Subtracting mixed lengths (1)
Subtracting mixed lengths (2)
Perimeters
Fractions A
Making a whole
Partition the whole \( \frac{2}{5}+\frac{?}{5} = 1 \)
Comparing unit fractions
Comparing non-unit fractions
Order unit fractions
Order non-unit fractions
Mass
Calculating the grams needed to complete a kg
Equivalent masses (kg and g)
Comparing mass
Mass - Addition of mixed measures
Mass - Subtraction of mixed measures
Capacity
Calculating the ml needed to make a litre
Capacity - Addition of mixed measures
Capacity - Subtraction of mixed measures
Year 3 - Term 3
Fractions B
Calculating a unit fraction of a quantity (up to x12)
Calculating a unit fraction of a quantity
Calculating a non-unit fraction of a quantity
Comparing fraction of a quantity calculations
Partition the whole \( \frac{2}{5}+\frac{?}{5} = 1 \)
Adding fractions - same denominator
Subtracting fractions from a whole
Subtracting fractions - same denominator
Money
Covert pence to pounds and pence 755p = £ and p
Adding money (within a pound)
Adding money
Subtracting money (within a pound)
Subtracting money
Calculating change from £1
Calculating change from £5
Calculating change from £10
Time
Roman numbers (up to 12) - write in figures
Read the time from a digital clock
Understand am and pm when comparing times
Understanding the order of the months of the year
Converting :years, months/days
Converting : weeks, days ,hours
Converting : hours, minutes
Expressing minutes and seconds as seconds
Expressing seconds as minutes and seconds
Comparing seconds and minutes and seconds
Time Calculations
Comparing time intervals
Calculating time intervals (5 minutes)
Calculating time intervals
Working out end times
Working out start times
Shape
Compass directions and right angles
Term 1
Term 2
Term 3
Year 4 - Term 1
Place Value
Ones, Tens, hundreds and thousands (equivalence)
Partition numbers up to 10000
Flexible partitioning of numbers to 10z000
Finding 1,10,100 or 1000 more or less
Ordering a comparing numbers up to 10000
Roman numbers (up to 100) - write in figures
Rounding to the nearest 10
Rounding to the nearest 100
Rounding to the nearest 1000
Addition
Add 1's 10's 100's and 1000's
Add 1's 10's 100's and 1000's
Up to 4-digit numbers – no exchange
4-digit numbers – one exchange
4-digit numbers – more than one exchange
Subtraction
Subtract 1's 10's 100's and 1000's
4-digit numbers – no exchange
4-digit numbers – one exchange
4-digit numbers – more than one exchange
Multiplication and division
Listing multiples of 2
Multiply and divide by 6
Multiply and divide by 9
Multiply and divide by 7
Multiply and divide by 11
Multiply and divide by 12
Multiply by 1 and 0
Divide a number by 1 and itself
Multiply 3 numbers
Year 4 - Term 2
Multiplication
Finding factors
Using factor pairs
Multiply by 10
Multiply by 100
Related calculations - multiplication and division
Multiplying - 2 digit by a single digit
Multiply a 3 digit by a 1 digit number
Division
Dividing by 10
Dividing by 100
Division - 2 digit by 1 digit (A)
Division - 2 digit by 1 digit (B)
Division - 3 digit by 1 digit
Length and perimeter
Comparing lengths in km and m
Equivalent lengths (km and metres))
Calculate the perimeter
Calculate a missing length given the perimeter
Calculate the perimeter of regular polygons
Calculate the side length of a regular polygon
Decimals A
Writing as a decimal
Counting in tenths
Dividing a 1 digit number by 10
Dividing a 2 digit number by 10
Dividing a 1 digit number by 100
Dividing a 2 digit number by 100
Comparing tenths and tens
Expressing tenths and hundredths as hundredths
Hundredths fractions/decimals
Fractions
Completing the whole
Count beyond 1 (unit fractions)
Count beyond 1 (increasing)
Count beyond 1 (decreasing)
Partition a mixed number
Order Mixed numbers
Compare Mixed numbers
Improper fractions equivalent to whole(s)
Mixed numbers to improper fractions
Improper fractions to mixed numbers
Adding fractions - same denominator/label>
Adding fractions crossing the whole
Adding mixed numbers - same denominator
Adding mixed numbers - crossing the whole
Subtract a whole from a mixed number
Subtract fractions - same denominator
Subtract fractions from a whole
Subtract a whole from a mixed number
Subtract a fraction from a mixed number
Year 4 - Term 3
Decimals B
Make a whole with tenths - decimals only
Make a whole with tenths
Make a whole with hundredths
Partition decimals
Identify place value of underlined digits
Flexible partition decimals
Compare decimals
Order Decimals
Round to the nearest whole number
Fractions as decimals
Money
Write money as decimals
Convert between pounds and pence
Compare amounts of money
Round to the nearest 10 pence
Round to the nearest pound
Subtracting amounts of money
Multiplying money
Dividing money
Time
Years months weeks and days
Hours minutes and seconds
Write as digital times
Time interval calculations
Convert to the 24-hour clock
Convert from 24-hour clock
Shape
Compass directions and right angles
Classifying triangles
Calculate the perimeter of regualar polygons
Calculate the side length of a regular polygon
Term 1
Term 2
Term 3
Year 5 - Term 1
Place Value
Roman numerals up to 1000
Numbers up to 10000 - more or less
Numbers up to 100000 - more or less
Numbers up to 1000000 - more or less
Identifying place value in numbers
Read and write numbers to 1000000
Making large and small numbers (5 digits)
Finding 1,100,1000,10000,100000 more or less
Partition numbers up to 1000000
Ordering a comparing numbers up to 100000
Round within 10,000
Round within 1,000,000
Addition and Subtraction
Addition - More than 4 digits
Subtraction - More than 4 digits
Inverse operations - addition and subtraction
Comparing calculations - addition and subtraction
Missing numbers in equivalent calculations
Multiplication and division (1)
Listing multiples
Finding common multiples
Finding common factors
Listing prime numbers
Listing square numbers
Cube numbers
Multiplication and division (2)
Multiply by 10,100 or 1000
Dividing by 10,100 or 1000
Multiplication - by multiples of 10,100,1000
Division - by multiples of 10,100,1000
Multiplication and Division - by multiples of 10
Fractions A (1)
Find fractions equivalent to a unit fraction
Find fractions equivalent to a non-unit fraction
Compare Mixed numbers
Improper fractions equaivalent to whole(s)
Comparing fractions less than 1
Ordering fractions less than 1
Comparing fractions greater than 1
Add fractions-same denominator
Add fractions within 1
Fractions A (2)
Add fractions total greater than 1
Add a proper fraction to a mixed number
Add two mixed numbers
Subtract fractions - same denominator
Subtract fractions
Subtract a fraction from a mixed number (1)
Subtract a fraction from a mixed number (2)
Subtract two mixed numbers
Year 5 - Term 2
Multiplication and division
Multiply a 3 digit by a 1 digit number
Multiply a 4 digit by a 1 digit number
Multiplication - 2 digit by 2 digit
Multiplication - 3 digit by 2 digit
Multiplication - 4 digit by 2 digit
Comparing related products
Division - 3 or 2 digit by 1 digit
Division - 4 digit by 1 digit (no remainders)
Division - 4 digit by 1 digit (with remainders)
Fractions
Calculate a unit fraction of a quantity
Calculate a fraction of a quantity
Multiply - Unit fraction by an integer
Multiply - fraction by an integer
Multiply - mixed number by an integer
Find the whole -given a unit fraction
Find the whole -given a fraction
Area and Perimeter
Calculate the perimeter
Calculate a missing length given the perimeter
Calculate the perimeter of regular polygons
Calculate the side length of a regular polygon
Calculate the area of a rectangle
Area of a rectangle - missing length
Decimals and percentages (1)
Place value in Decimals (2 d.p)
Partitioning Decimals (2 d.p.)
Equivalent fractions and decimals (tenths)
Equivalent fractions and decimals (hundredths)
Thousandths as fractions
Thousandths as decimals
Compare and order decimals (1)
Compare and order decimals (2)
Decimals and percentages (2)
Round to the nearest whole number
Round to 1 decimal place
Understand percentages
Percentages as fractions
Fractions as percentages
Percentages as decimals
Decimals as percentages
Year 5 - Term 3
Shape
Calculate angle turns - minute hand 5 mins intervals
Calculate angle turns - minute hand 5 mins intervals
Decimals (1)
Add decimals within 1 (hundredths)
Add decimals within 1 (tenths and hundredths)
Subtract decimals within 1 (hundredths)
Subtract decimals within 1 (tenths and hundredths)
Complements to 1 - hundredths
Complements to 1 - tenths and hundredths
Complements to 1 - thousandths
Add decimals across 1
Subtract decimals across 1
Add decimals (same number of decimal places)
Subtract decimals (same number of decimal places)
Add decimals (up to 2 d.p)
Subtract decimals (up to 2 d.p.)
Decimals (2)
Tenths - increasing and decreasing
Hundredths - increasing and decreasing
Missing terms - tenths
Missing terms - hundredths
Multiplying by 10
Multiplying by 100
Multiplying by 1000
Dividing (up to 3 digit number) by 10
Dividing (up to 3 digit number) by 100
Dividing (up to 3 digit number) by 1000
Multiplying by 10 100 1000 - missing values
Dividing by 10 100 1000 - missing values
Negative Numbers
Calculating temperature after an increase
Calculating temperature after a decrease
Counting in 1's (negative numbers)
Counting in 2,3,4 5 etc
Directed numbers
Comparing temperatures
Ordering temperatures
Finding the difference between two temperatures
Converting Units
kg and km
ml and mm
cm and mm
cm and m
Inches and cm
Kilograms and pounds
Pints and gallons
Converting between units of time mixture
Calculating time intervals
Term 1
Term 2
Term 3
Year 6 - Term 1
Place Value
Place value in numbers up to 1000000
Numbers up to 10000000
Identifying place value in numbers upt 10000000
Writing numbers in figures up to 10000000
Multiplication and division - multiple powers of 10
Comparing numbers up to 10000000 using < or >
Rounding integers to a power of 10
Missing terms - directed numbers
Finding more of less - directed numbers
Mixed arithmetic
Addition - up to 1000000
Subtraction - numbers up to 1000000
Division - 3 digit by 1 digit
Division - 3 or 4 digit by 2 digit numbers
Finding common multiples
Finding common factors
Listing prime numbers
Cube and square numbers
Order of operations
Order of operations (1): \( a - b + c \times d \)
Order of operations (2): \( a + b + c \times d \)
Order of operations (3): \( a + b \times c \)
Order of operations (4): \( a - b \times c \)
Order of operations (5): \( a + b \div c \)
Order of operations (6): \( a - b \div c \)
Order of operations (7): \( a \times b - c \times d \)
Order of operations (8): \( a \times b + c \times d \)
Order of operations (9): \( a + (b + c ) \times d \)
Order of operations (10): \( (a + b) \times c \)
Order of operations (11): \( (a - b) \times c \)
Order of operations (12): \( a - (b + c ) \times d \)
Order of operations (13): \( a \times (b - c) \)
Order of operations (14): \( (a - b) \times c \)
Order of operations (15): \( (a + b) \div c \)
Order of operations (16): \( a \div (b + c) \)
Order of operations (17): \( (a - b) \div c \)
Order of operations (18): \( a \div (b - c) \)
Order of operations (19): \( a(b - c) + d \)
Order of operations (20): \( a(b + c) + d \)
Order of operations (21): \( a \times (b - c)^2 \)
Order of operations (22): \( (a - b)^2 \)
Order of operations (23): \( (a + b)^2 \)
Order of operations (24): \( a \times (b - c) \times d \)
Fractions A (1)
Simplifying a fraction
Equivalent fractions
Comparing fractions less than 1
Ordering fractions less than 1
Adding and subtracting fractions (1)
Adding and subtracting fractions(2)
Adding mixed numbers
Subtracting mixed number
Fractions A (2)
Multiply - fraction by an integer
Multiply - fractions
Dividing a unit fraction by an integer
Dividing a fraction by an integer
Calculate a fraction of a quantity
Find the whole -given a fraction
Converting units
Length - mixed measures
Addition of mixed metric measures
Miles and km
Mixed imperial measures
Year 6 - Term 2
Ratio
Using ratio language
Using the ratio symbol
Expressing a ratio as a fraction
Using scale drawings
Using scale factors - simple
Missing lengths - similar rectangles
Simple ratio problems
Direct Proportion problems (£s)
Solving recipe problems
Equivalence
Fractions as decimals
Write division as a fraction
Use division to write a fraction as a decimal
Fraction as division (mixture)
Fractions as percentages
Fraction as a decimal
Decimals as fractions
Algebra
One-step - find the output
One-step - find the input
One-step - find the output - decimals
Find the output \( \times a + b \)
Find the output \( \times a - b \)
Find the output \( + a \times b \)
Find the output \( \div a + b\)
Find the output \( \div a - b \)
Find the output \( + a \div b \)
Find the output \( -a \div b \)
Find the output \( -a \\times b\)
Two-step - find the output mixture
Find the input \( \times a + b \)
Find the input \( \times a - b \)
Find the input \( + a \times b \)
Find the input \( \ div a + b\)
Find the input \( \div a - b \)
Find the input \( + a \div b \)
Find the input \( -a \div b \)
Find the input \( -a \times b\)
Two-step - find the input
Two-step - missing functions
Algebra
Substitution : \( x + a \)
Substitution : \( x - a \)
Substitution : \( ax \)
Substitution : \( \frac{a}{x} \)
Substitution : one-step mixture
Substitution : \( y = ax + b \)
Substitution : \( y = ax - b \)
Substitution : \( y =b - ax \)
Forming equations -one step function machines
Forming equations -two step function machines
One step equations : \( x + a = b \)
One step equations : \( x - a = b \)
One step equations : \( ax = b \)
One step equations : \( \frac{x}{a} = b \)
Two step equations : \( ax + b = c \)
Two step equations : \( ax - b = c \)
Find pairs of values
Solve problems with two unknowns
Decimals
Place value within 1
Place value - integers and decimals
Rounding to the nearest integer
Rounding to the nearest tenth
Rounding to the nearest hundredth
Add decimals (up to 3 d.p)
Subtract decimals (up to 3 d.p.)
Multiply by 10
Multiply by 100
Multiply by 1000
Dividing by 10 (including decimals)
Dividing by 100 (including decimals)
Dividing by 1000 (including decimals)
Multiply a decimal by an integer
Dividing a decimal by and integer
Multiply and divide decimals in context
Percentages
Percentages to 100 (shaded/unshaded percentage)
Understanding percentages (35% = 3 x 10% + 5%)
Understanding percentages (35% = 3 x 10% + 5%)
50% of a quantity - non calculator
25% and 50% of a quantity - non -calculator
10% of a quantity - non-calculator
10% and 20% of a quantity - non-calculator
20% of a quantity - non-calculator
10% and 5% of a quantity - non-calculator
5% of a quantity - non-calculator
5% 10% and 15% of quantity - non-calculator
5% 10% and 20% of a quantity - non-calculator
15% of a quantity - non-calculator
Multiples of 5% - non-calculator
Percentages of quantities - missing values
Area and Perimeter
Calculate the area of a rectangle
Area of a rectangle - missing length
Area of a triangle - (non-calc)
Area of a parallelogram
Volume of a cuboid
Averages
Calculate the mean - from a list
Find the mode
Year 6 - Term 3
Shape
Classifying angles
Calculate missing angles triangles
Calculate angles in a quadrilateral
Radius and diameter calculations
Interior angles in polygons
Term 1
Term 2
Term 3
Year 7 - Term 1
Sequences
Recognise a linear sequence
Continue a linear sequence
Find missing terms in a linear sequence
Continue a geometric sequence
Continue a fibonacci sequence
Find missing terms in a geometric sequence
Algebra
One step equations : \( x + a = b \)
One step equations : \( x - a = b \)
One step equations : \( ax = b \)
One step equations : \( \frac{x}{a} = b \)
Collecting like terms - Single variable
Collecting like terms - Two variables
Algebraic Notation
Find the output of a single function machine
Use inverse operations to find the input
Multiplying terms
Dividing terms
Simplifying -addition - single variable
Find an expression for the output
Find the function
Substitution mixture
Substitution : \( y = \frac{x}{a} + b \)
Substitution : \( y = \frac{x+a}{b} \)
Substitution : \( y = \frac{x-a}{b} \)
Substitution : \( y = \frac{ax + b}{c} \)
Substitution : \( y = \frac{ax - b}{c} \)
Generate sequences given an algebraic rule
Place Value
Place value up to one billion
More of less in numbers up to 1 billion
Writing numbers up to 1 billion in figures
Round within 1,000,000,000
Ordering numbers up to 100000000
Calculate the range
Calculate the median
Understand place value of decimals (3 d.p.)
Rounding to 1 significant figure (integers)
Rounding to 1 significant figure (decimals)
Rounding to 1 significant figure
Writing integers in standard form
Writing decimals <1 in standard form
Equivalence
Express a fraction as a decimal
Express a decimal as a fraction
Fractions and decimals - fifths and quarters
Adding and subtracting fractions and decimals -
Simple fractions, decimals and percentages
Mixed numbers to improper fractions
Improper fractions to mixed numbers
Year 7 - Term 2
Addition and subtraction
Addition - Mentally
Addition - large numbers
Addition - Decimals
Subtraction - large numbers
Subtraction - Decimals
Adding money - decimals
Subtracting money - decimals
Adding and subtracting money - decimals
Add numbers in standard form
Subtract numbers in standard form (
Add and Subtract numbers in standard form
Writing integers in standard form
Writing decimals in standard form
Fractions and Percentages
Calculate a fraction of a quantity
Find the whole -given a fraction
Multiples of 5% - non-calculator
Calculating a percentage of a quantity (calc)
Percentages to fractions (>100)
Fractions - Addition and Subtraction
Subtract fractions from integers
Equivalent fractions
Add fractions - common multiples
Subtract fractions - common multiples
Add fractions
Subtract fractions
Adding mixed numbers (1)
Subtracting mixed numbers (1)
Adding mixed numbers
Subtracting mixed numbers
Add/subtract fractions and decimals (1)
Add/subtract fractions and decimals (2)
Directed numbers -mixture
Multiplication and Division
Finding factors
Listing multiples
Multiplying by powers of 10
Dividing by powers of 10
Length - mixed measures
Mass - mixed measures
Capacity - mixed measures
Multiplying by 0.1 and 0.01
Multiplying integers
Multiplying decimals by an integer(written methods)
Dividing integers
Dividing decimals
Order of operations (1): \( a - b + c \times d \)
Order of operations (2): \( a + b + c \times d \)
Order of operations (3): \( a + b \times c \)
Order of operations (4): \( a - b \times c \)
Order of operations (5): \( a + b \div c \)
Order of operations (6): \( a - b \div c \)
Order of operations (7): \( a \times b - c \times d \)
Order of operations (8): \( a \times b + c \times d \)
Order of operations (9): \( a + (b + c ) \times d \)
Order of operations (10): \( (a + b) \times c \)
Order of operations (11): \( (a - b) \times c \)
Multiplication and Division
Order of operations (12): \( a - (b + c ) \times d \)
Order of operations (13): \( a \times (b - c) \)
Order of operations (14): \( (a - b) \times c \)
Order of operations (15): \( (a + b) \div c \)
Order of operations (16): \( a \div (b + c) \)
Order of operations (17): \( (a - b) \div c \)
Order of operations (18): \( a \div (b - c) \)
Order of operations (19): \( a(b - c) + d \)
Order of operations (20): \( a(b + c) + d \)
Order of operations (21): \( a \times (b - c)^2 \)
Order of operations (22): \( (a - b)^2 \)
Order of operations (23): \( (a + b)^2 \)
Order of operations (24): \( a \times (b - c) \times d \)
Missing length- rectangle
Missing length - parallelogram
Missing length - triangle
Area of trapeziums
Mean given - find a missing value
Multiplying terms \( ax \times bx \)
Dividing terms \( ax \div b \)
Directed Numbers
Addition crossing zero
Subtraction crossing zero
Directed numbers \( a + -b \)
Directed numbers \( a - -b \)
Directed numbers \( \pm a \times \pm b \)
Directed numbers \( \pm a \div \pm b \)
Directed numbers \( -a \times -b -c \)
Directed numbers \( -a + - b + c \)
Directed numbers \( -(a)^2 + -b + c \)
Directed numbers \((-a)^2 + -b + c \)
Directed numbers \((-a)^2 - -b + -c \)
Directed numbers \((-a)^2 - -b - -c \)
Directed numbers -mixture
Collecting like terms - Single variable (across 0)
Substituting negative values -mixture
Substitution : \( a - b \)
+ b\)
Substitution : \( a(b - c) \)
Substitution : \( a - b^2 \)
Substitution : \( a^2 - b \)
Solving : \( ax + b = c \)
Solving : \( ax - b = c \)
Solving : \( a - bx = c \)
Equations Mixture
Solving : \( \frac{x}{a} - b = c \)
Directed Numbers
Solving : \( \frac{x}{a} + b = c \)
Solving : \( \frac{x + a}{b} = c \)
Solving : \( \frac{x - a}{b} = c \)
Mixture of equations with fractions
Order of operations - \( a - b + c \times d \)
Order of operations - \( a - (b + c ) \times d \)
Order of operations - \( a + b + c \times d \)
Order of operations - \( a + (b + c ) \times d \)
Order of operations - \( a \times (b - c)^2 \)
Order of operations - \( a - b^2 \)
Order of operations - \( a + b^2 \)
Order of operations - \( a \times (b - c) \times d \)
Order of operations - \( a \times b - c \times d \)
Order of operations - \( a \times b + c \times d \)
Order of operations - \( (a + b) \times c \)
Order of operations - \( a \times (b - c) \)
Order of operations - \( (a - b ) \times c \)
Order of operations - \( a \div (b + c) \)
Order of operations - \( a \div (b - c) \)
Order of operations - \( a + b \times c \)
Order of operations - \( a - b \times c \)
Order of operations - \( a + b \div c \)
Mixture order of operations
Identifying intervals for square roots
Evaluating - positive integer powers
Year 7 - Term 3
Angles
Compass directions and right angles
Classifying angles
Pie Charts - calculating angles
Calculate missing angles triangles
Calculate angles in a quadrilateral
Prime Numbers
Finding multiples of a number
Finding factors
Listing prime numbers
Finding the HCF
Finding the lowest common multiple
Expressing as a product of prime factors
Number sense
Addition - large numbers
Addition - Decimals
Subtraction - large numbers
Multiplication - Integers
Division - Integers
Calculating change from £1 as a decimal
Calculating change from £5 as a decimal
Calculating change from £10 as a decimal
Calculating change nixture
Multiplying by multiples of 10 or decimals
Number sense
Use factors ot simplify multiplication calculations
Estimation \( \frac{a + b }{c} \)
Estimation \( \frac{a - b }{c} \)
Estimation \( \frac{a \times b }{c} \)
Estimation \( a \times b \)
Estimation \( a + b \)
Estimation \( a - b \)
Mixture
Use known facts - multiplication (inc decimals)
Random Order
Yes
No