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Reasoning & Problem Solving

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Everything RMH Resources1614 Number and Place Value375 Measurement340 Fractions300 Geometry217 Multiplication and Division208 Premium Resources192 Addition and Subtraction162 Statistics68 Addition and Subtraction, Multiplication and Division59 Algebra35 Ratio and Proportion25 Maths Activities14 Maths Resources9 NCETM Resources9 Free Resources7 Maths Assessments6 Working Without Worksheets4 Times Tables3

Narrow it downby objective (224)

Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)51
solve problems with addition and subtraction using concrete objects and pictorial representations, including those involving numbers, quantities and measures39
Mixed Maths26
choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels21
Identify, represent and estimate numbers using different representations21
Identify, represent and estimate numbers using different representations, including the number line21
read, write, order and compare numbers up to 10,000,000 and determine the value of each digit21
read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit20
Use place value and number facts to solve problems20
Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why18
compare and order numbers from 0 up to 100; use <, > and = signs17
Identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line16
Order and compare numbers beyond 1,00016
Round any whole number to a required degree of accuracy16
Recognise the place value of each digit in a three-digit number (hundreds, tens, ones)15
write simple fractions for example, 1/2 of 6 = 3 and recognise the equivalence of 1/2 and 2/415
compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes14
Compare, describe and solve practical problems for capacity and volume14
Read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs14
Recognise, find and name a half as one of two equal parts of an object, shape or quantity14
Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity14
solve problems involving number up to three decimal places14
Use simple formulae14
count forwards or backwards in steps of powers of 10 for any given number up to 1,000,00013
identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces13
Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least13
recognise, find, name and write fractions 1/3, 1/4, 2/4, 3/4 of a length, shape, set of objects or quantity13
Use common factors to simplify fractions; use common multiples to express fractions in the same denomination13
use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns13
Compare and order unit fractions, and fractions with the same denominators12
count in multiples of 6, 7, 9, 25 and 1,00012
Multiply and divide numbers mentally, drawing upon known facts12
Order and arrange combinations of mathematical objects in patterns and sequences12
read Roman numerals to 1,000 (M) and recognise years written in Roman numerals12
Recognise and use fractions as numbers12
recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators12
Solve comparison, sum and difference problems using information presented in a line graph12
Solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change12
Use negative numbers in context, and calculate intervals across 012
Add and subtract one-digit and two-digit numbers to 20, including zero11
count in multiples of twos, fives and tens11
Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number11
given a number, identify one more and one less11
interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 011
Recognise the place value of each digit in a two-digit number (tens, ones)11
round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,00011
Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times11
Use place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, dividing by 111
add and subtract numbers using concrete objects, pictorial representations, and mentally, including a two-digit number and ones10
Add and subtract numbers using concrete objects, pictorial representations, and mentally, including a two-digit number and tens10
add and subtract numbers using concrete objects, pictorial representations, and mentally, including two two-digit numbers10
Choose and use appropriate standard units to estimate and measure length/height in any direction10
Compare, describe and solve practical problems for mass/weight10
Count, read and write numbers to 100 in numerals10
identify 2-D shapes on the surface of 3-D shapes10
Know and use the vocabulary of prime numbers, prime factors and composite (non- prime) numbers10
multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers10
Represent and use number bonds and related subtraction facts within 2010
Round any number to the nearest 10, 100 or 100010
solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems10
Add and subtract whole numbers with more than 4 digits, including using formal written methods9
compare and sort common 2-D and 3-D shapes and everyday objects9
Count backwards through zero to include negative numbers9
Find 1,000 more or less than a given number9
Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value9
Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction9
Express missing number problems algebraically8
Identify common factors, common multiples and prime numbers8
identify lines of symmetry in 2-D shapes presented in different orientations8
Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths.8
Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents8
Recognise and write decimal equivalents to 1/4, 1/2, 3/48
Solve number and practical problems that involve all of the above and with increasingly large positive numbers8
write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods8
Add and subtract amounts of money to give change, using both £ and p in practical contexts7
Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions7
Add and subtract fractions with the same denominator7
Add and subtract numbers using concrete objects, pictorial representations, and mentally, including adding three one-digit numbers7
Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity7
Calculate and interpret the mean as an average7
Calculate the area of parallelograms and triangles7
Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³]7
Compare and order fractions whose denominators are all multiples of the same number.7
complete a simple symmetric figure with respect to a specific line of symmetry7
Divide numbers up to 4 digits by a 2-digit whole number using the formal written method of long division7
draw and translate simple shapes on the coordinate plane, and reflect them in the axes7
Find different combinations of coins that equal the same amounts of money7
Generate and describe linear number sequences7
identify acute and obtuse angles and compare and order angles up to two right angles by size7
identify horizontal and vertical lines and pairs of perpendicular and parallel lines7
Interpret and construct pie charts and line graphs and use these to solve problems7
Interpret and construct simple pictograms, tally charts, block diagrams and simple tables7
Interpret and present data using bar charts, pictograms and tables7
Measure and begin to record time7
plot specified points and draw sides to complete a given polygon7
Read and write numbers to at least 100 in numerals and in words7
recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.7
Recognise and know the value of different denominations of coins and notes7
Recognise and show, using diagrams, families of common equivalent fractions.7
Recognise that shapes with the same areas can have different perimeters and vice versa7
Recognise the place value of each digit in a four-digit number (1,000s, 100s, 10s, and 1s)7
recognise when it is possible to use formulae for area and volume of shapes7
Recognise, find and write fractions of a discrete set of objects: unit fractions and non- unit fractions with small denominators7
round decimals with two decimal places to the nearest whole number and to one decimal place7
solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher7
Solve problems involving addition, subtraction, multiplication and division7
Solve problems involving converting between units of time7
solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days7
Solve problems involving similar shapes where the scale factor is known or can be found7
Solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts7
Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples7
use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling7
Add and subtract fractions with the same denominator and denominators that are multiples of the same number6
Add and subtract fractions with the same denominator within one whole6
add and subtract numbers mentally with increasingly large numbers6
Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition where appropriate6
angles at a point on a straight line and half a turn (total 180°)6
Ask-and-answer questions about totalling and comparing categorical data6
Calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication, division and equals (=) signs6
compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons6
Compare and order numbers up to 1,0006
compare durations of events [for example, to calculate the time taken by particular events or tasks]6
Convert between different units of measure (for example, kilometre to metre, hour to minute)6
Convert between miles and kilometres6
Count from 0 in multiples of 4, 8, 50 and 1006
count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number6
Count in steps of 2, 3, and 5 from 0, and in 10s from any number, forward and backward6
Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.6
Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 106
divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context6
divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context6
Divide proper fractions by whole numbers6
draw given angles, and measure them in degrees6
Estimate and use inverse operations to check answers to a calculation6
estimate the answer to a calculation and use inverse operations to check answers6
Find pairs of numbers that satisfy an equation with 2 unknowns6
identify 3-D shapes, including cubes and other cuboids, from 2-D representations6
Identify angles at a point and one whole turn (total 360)6
Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn6
Identify whether angles are greater or less than a right angle6
illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius6
know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles6
Know the number of minutes in an hour and the number of hours in a day6
know the number of seconds in a minute and the number of days in each month, year and leap year6
Measure and begin to record lengths and heights6
Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres6
Measure the perimeter of simple 2-D shapes6
Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,0006
multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication6
Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams6
perform mental calculations, including with mixed operations and large numbers6
Read and write decimal numbers as fractions6
Read, write and convert time between analogue and digital 12- and 24-hour clocks6
read, write, order and compare numbers with up to three decimal places6
Recall and use addition and subtraction facts up to 20 fluently6
Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables6
Recognise 3-D shapes in different orientations and describe them6
Recognise and use language relating to dates, including days of the week, weeks, months and years6
recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems6
Recognise and write decimal equivalents of any number of tenths or hundredths6
Recognise angles as a property of shape or a description of a turn6
Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5 ]6
Recognise the place value of each digit in a two-digit number (10s, 1s)6
Round decimals with one decimal place to the nearest whole number6
Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot.6
solve number and practical problems that involve all of the above6
solve number problems and practical problems that involve all of the above6
Solve one step addition and subtraction problems6
solve one-step and two-step questions [for example ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables6
Solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate6
Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison6
Solve simple measure and money problems involving fractions and decimals to 2 decimal places6
Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks6
Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times.6
understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints6
Use estimation to check answers to calculations and determine in the context of a problem, an appropriate degree of accuracy6
Use their knowledge of the order of operations to carry out calculations involving the four operations6
use written division methods in cases where the answer has up to two decimal places6
Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8 ]5
combine amounts to make a particular value5
Compare and order fractions, including fractions > 15
Compare numbers with the same number of decimal places up to two decimal places5
Compare, describe and solve practical problems for time5
complete, read and interpret information in tables, including timetables5
Describe position, direction and movement, including whole, half, quarter and three- quarter turns5
describe positions on the full coordinate grid (all 4 quadrants)5
distinguish between regular and irregular polygons based on reasoning about equal sides and angles5
Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths5
identify multiples and factors, including finding all factor pairs of a number, and common factors of 2 numbers5
Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs5
Mixed Arithmetic5
multiply one-digit numbers with up to two decimal places by whole numbers5
Multiply simple pairs of proper fractions, writing the answer in its simplest form5
Read and write numbers from 1 to 20 in numerals and words5
recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 1005
recall multiplication and division facts for multiplication tables up to 12 × 125
Recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)5
Sequence events in chronological order5
show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot5
Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number5
solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes5
solve problems which require answers to be rounded to specified degrees of accuracy5
Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy5
Use, read, write and convert between standard units, converting measurements of length, mass, volume and time5
Add and subtract numbers mentally, with increasingly large numbers4
compare and order lengths, mass, volume/capacity and record the results using >, < and =4
Compare, describe and solve practical problems for lengths and heights4
enumerate possibilities of combinations of two variables.4
Multiply two-digit and three-digit numbers by a one-digit number using formal written layout4
Recognise and name common 2D shapes4
Recognise and name common 3D shapes4
solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates4
Use simple algebra4
Write simple fractions for example, 1/2 of 6 = 3 and recognise the equivalence of 2/4 and 1/24
add and subtract numbers mentally, including a three-digit number and ones3
Compare and order lengths and record the results using > =3
Measure and begin to record mass and weight3
Read and write numbers to at least 1000 in numerals and words3
read and write numbers up to 1000 in numerals and in words3
recall and use equivalences between simple fractions, decimals and percentages including in different contexts.3
recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers3
Recognise and use factor pairs and commutativity in mental calculations3
Solve number problems and practical problems involving these ideas3
solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts3