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Year 5 Essential Skills
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Place value
Read and write numbers to 1 million
\[ 345{,}012 \]
Read, write, order and compare numbers to at least 1,000,000.
Determine value of digits to 1 million
\[ \text{Value of 7 in } 472{,}356 \]
Identify the value of each digit in numbers up to 1,000,000.
Order and compare large numbers
\[ 456{,}321 \text{ vs } 465{,}123 \]
Order and compare numbers to 1,000,000.
Round to powers of 10
\[ 345{,}678 \to 350{,}000 \]
Round any number up to 1,000,000 to the nearest 10, 100, 1000, 10000 or 100000.
Negative numbers in context
\[ -8°C + 12°C = ? \]
Interpret negative numbers in context and calculate across zero.
Count in powers of 10
\[ 340{,}000, 350{,}000, … \]
Count forwards and backwards in steps of powers of 10.
Roman numerals to 1000
\[ 849 = \text{DCCCXLIX} \]
Read Roman numerals to 1000 (M) and recognise years.
Addition and subtraction
Add and subtract mentally with large numbers
\[ 12{,}462 – 2{,}300 \]
Add and subtract numbers mentally with increasingly large numbers.
Written addition with more than 4 digits
\[ 34{,}567 + 28{,}456 \]
Add whole numbers with more than 4 digits using formal written methods.
Written subtraction with more than 4 digits
\[ 52{,}034 – 27{,}568 \]
Subtract whole numbers with more than 4 digits using formal written methods.
Use rounding to check answers
\[ 34{,}567 + 28{,}456 \approx ? \]
Use rounding to check answers and determine accuracy.
Multiplication and division
Find all factors of a number
\[ \text{Factors of } 36 \]
Find all factors of a number by identifying factor pairs.
Identify prime numbers
\[ \text{Is } 51 \text{ prime?} \]
Know and use vocabulary of prime numbers up to 100.
Recognise square and cube numbers
\[ 7^2 = ? \]
Evaluate square and cube numbers using correct notation.
Multiply up to 4 digits by 2 digits
\[ 2{,}345 \times 24 \]
Multiply numbers up to 4 digits by a two-digit number.
Divide up to 4 digits by 1 digit
\[ 4{,}572 \div 6 \]
Divide numbers up to 4 digits by a one-digit number using short division.
Multiply and divide by 10, 100, 1000
\[ 3.45 \times 100 \]
Multiply and divide whole numbers and decimals by 10, 100 and 1000.
Fractions
Compare and order fractions
\[ \frac{3}{5} \text{ vs } \frac{7}{10} \]
Compare and order fractions whose denominators are multiples of the same number.
Identify equivalent fractions
\[ \frac{1}{2} = \frac{\square}{6} \]
Identify, name and write equivalent fractions.
Convert improper fractions and mixed numbers
\[ \frac{17}{5} = ? \]
Recognise mixed numbers and improper fractions and convert between them.
Add and subtract fractions with related denominators
\[ \frac{2}{3} + \frac{5}{6} \]
Add and subtract fractions with denominators that are multiples of the same number.
Multiply fractions by whole numbers
\[ \frac{3}{4} \times 5 \]
Multiply proper fractions and mixed numbers by whole numbers.
Read and write decimals to 3dp
\[ 0.375 = \frac{3}{8} \]
Read, write and convert decimals with up to 3 decimal places.
Order decimals with different decimal places
\[ 0.35, 0.305, 0.4 \]
Order numbers with up to 3 decimal places.
Round decimals
\[ 3.847 \to 3.8 \text{ (1dp)} \]
Round decimals to the nearest whole number or to 1 or 2 decimal places.
Recognise percentage equivalents
\[ \frac{1}{4} = \text{?}\% \]
Recognise the % symbol and understand percentage as parts per hundred.
Find percentages of amounts
\[ 15\% \text{ of } 80 \]
Solve problems involving percentage equivalents.
Measurement
Convert metric units
\[ 3.5 \text{ km} = ? \text{ m} \]
Convert between metric units including decimals.
Calculate perimeter and area of rectangles
\[ 8 \text{ cm} \times 5 \text{ cm} \]
Calculate the perimeter and area of rectangles.
Calculate the volume of a cuboid
\[ V = 4 \times 3 \times 2 \]
Calculate volume using length × width × height.
Solve problems with units
\[ 1.5 \text{ kg} – 800 \text{ g} \]
Solve problems involving converting units of measure.
Geometry
Classify angles
\[ 135° \rightarrow \text{obtuse} \]
Identify acute, right, obtuse and reflex angles.
Calculate angles on a straight line
\[ a + 125° = 180° \]
Use angle facts to find missing angles on a straight line.
Calculate angles at a point
\[ 120° + 85° + a = 360° \]
Use angle facts to find missing angles at a point.
Identify properties of rectangles
\[ \text{Diagonals are equal} \]
Use properties of rectangles to deduce missing lengths.
Identify regular and irregular polygons
\[ \text{Is a rhombus regular?} \]
Distinguish between regular and irregular polygons.
Reflect shapes in axes
\[ (3, 2) \to (-3, 2) \]
Identify and represent position after reflection in axes.
Translate shapes
\[ (2, 5) \to (5, 1) \]
Describe and perform translations.
Statistics
Solve problems using line graphs
\[ \text{Find maximum value} \]
Read and interpret information in line graphs.
Read and interpret timetables
\[ 09:15 + 47 \text{ min} \]
Complete, read and interpret timetables.
Timer (Optional)
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