### Year 5 maths, 2015

Children aged 9 to 10 in year 5 should be able to answer these maths questions. Clickable resources only partially ready.

Strand Ref Know how to e.g.
NUMBER 5N1

Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000

5N2

Read, write, order and compare numbers to at least 1,000,000

5N3a

Determine the value of each digit in numbers up to 1 000 000

5N3b

Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.

5N4

Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10,000 and 100,000

5N5

Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero

5N6

Solve number problems and practical problems that involve 5N1-5N5

CALCULATIONS
(+, –, ÷, ×)
5C1

Add and subtract numbers mentally with increasingly large numbers

5C2

Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)

5C3

Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy

5C4

Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

5C5a

Identify multiples and factors, including finding all factor pairs of a number and common factors of two numbers

5C5b

Know and use the vocabulary of prime numbers, prime factors and composite (nonprime) numbers

5C5c

Establish whether a number up to 100 is prime and recall prime numbers up to 19

5C5d

Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)

5C6a

Multiply and divide numbers mentally drawing upon known facts

5C6b

Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000

5C7a

Multiply numbers up to 4 digits by a one or two-digit number using a formal written method, including long multiplication for two digit numbers

5C7b

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 context

5C8a

Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes

5C8b

Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign

5C8c

Solve problems involving multiplication and division including scaling by simple fractions and problems involving simple rates

Strand Ref Know how to e.g.
FRACTIONS 5F2a

Recognise mixed numbers and improper fractions and convert from one form to the other; write mathematical statements >1 as a mixed number [eg: ⅖ + ⅘ = 1 ⅕ ]

5F2b

Identify name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

5F3

Compare and order fractions whose denominators are all multiples of the same number

5F4

Add and subtract fractions with the same denominator and denominators that are multiples of the same number

5F5

Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams

5F6a

Read and write decimal numbers as fractions [eg: 0.71 = 71 ⁄ 100]

5F6b

Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents

5F7

Round decimals with two decimal places to the nearest whole number and to one decimal place

5F8

Read, write, order and compare numbers with up to three decimal places

5F10

Solve problems involving numbers up to three decimal places

5F11

Recognise the per cent symbol (%) and understand that per cent relates to 'number of parts per hundred'; write percentages as a fraction with denominator hundred, and as a decimal.

5F12

Solve problems which require knowing percentage and decimal equivalents of ½ , ¼ , ⅕ , ⅖ , ⅘ and those fractions with a denominator of a multiple of 10 or 25

MEASUREMENT 5M4

Solve problems involving converting between units of time.

5M5

Convert between different units of metric measure [eg: kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre]

5M6

Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints

5M7a

Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres

5M7b

Calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes

5M8

Estimate volume [eg: using 1cm³ blocks to build cuboids (including cubes)] and capacity [eg:using water]

5M9a Use all four operations to solve problems involving measure [money] using decimal notation,including scaling
5M9b

Use all four operations to solve problems involving measure [eg: length] using decimal notation,including scaling

5M9c

Use all four operations to solve problems involving measure [eg: mass] using decimal notation, including scaling.

5M9d

Use all four operations to solve problems involving measure [eg: volume] using decimal notation, including scaling

GEOMETRY properties of shapes 5G2a

Use the properties of rectangles to deduce related facts and find missing lengths and angles

5G2b

Distinguish between regular and irregular polygons based on reasoning about equal sides and angles

5G3b

Identify 3-D shapes including cubes and other cuboids, from 2-D representations

5G4a

Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

5G4b

Identify:

• angles at a point and one whole turn (total 360°)
• angles at a point on a straight line and ½ a turn (total 180°)
• other multiples of 90°
5G4C

Draw given angles and measure them in degrees (°)

GEOMETRY position and direction 5P2

Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed

STATISTICS 5S1

Complete, read and interpret information in tables, including timetables

STATISTICS 5S2

Solve comparison, sum and difference problems using information presented in a line graph