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SATs Paper 1 essentials
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Foundational skills
Times tables facts (up to 12×12)
\[ 84 \div 12 = \]
Recall multiplication and related division facts from times tables.
Multiplication by 0 or 1
\[ \text{___} \times 233 = 0 \]
Recognise the effect of multiplying by 0 or 1.
Place value decomposition
\[ 7549 = 7000 + \text{___} + 40 + 9 \]
Identify missing values in expanded place value notation.
Addition
Addition of two integers (3-4 digits)
\[ 689 + 38 = \]
Add two whole numbers where at least one has 3 or 4 digits.
Addition of three integers
\[ 6155 + 501 + 649 = \]
Add three whole numbers together.
Addition with decimals
\[ 47.65 + 51.783 = \]
Add decimal numbers with different numbers of decimal places.
Missing addend problems
\[ 326 + \text{___} = 380 \]
Find the missing number in an addition calculation.
Subtraction
Subtraction of integers (3-4 digits)
\[ 456 – 385 = \]
Subtract whole numbers where the first number has 3-4 digits.
Subtraction involving zeros
\[ 904 – 8 = \]
Subtract when the minuend contains zeros requiring exchanges through zero.
Large number subtraction (6-7 digits)
\[ 1004235 – 52346 = \]
Subtract with numbers in the hundreds of thousands or millions.
Subtraction with decimals
\[ 17 – 3.6 = \]
Subtract a decimal from a whole number or subtract two decimals.
Multiplication
Short multiplication (1-digit x 3-digit)
\[ 6 \times 832 = \]
Multiply a 3-digit number by a single digit.
Short multiplication (1-digit x 4-digit)
\[ 2407 \times 8 = \]
Multiply a 4-digit number by a single digit.
Long multiplication (2-digit x 2-digit)
\[ 23 \times 46 \]
Multiply two 2-digit numbers using formal written method.
Long multiplication (3-digit x 2-digit)
\[ 614 \times 32 \]
Multiply a 3 or 4-digit number by a 2-digit number using formal written method.
Three-factor multiplication
\[ 12 \times 3 \times 10 = \]
Multiply three numbers together.
Multiplication by 10/100/1000
\[ 2345 \times 1000 = \]
Multiply integers by powers of 10.
Multiplying decimals by whole numbers
\[ 3 \times 8.9 = \]
Multiply a decimal number by a single-digit whole number.
Division
Division facts (within tables)
\[ 72 \div 3 = \]
Recall division facts from times tables.
Short division (3-digit / 1-digit)
\[ 540 \div 6 = \]
Divide a 3-digit number by a single digit with no remainder.
Short division (4-digit / 1-digit)
\[ 4104 \div 9 = \]
Divide a 4-digit number by a single digit with no remainder.
Long division (3-digit / 2-digit)
\[ 884 \div 17 \]
Divide a 3-digit number by a 2-digit number using formal written method.
Long division (4-digit / 2-digit)
\[ 1008 \div 14 \]
Divide a 4-digit number by a 2-digit number using formal written method.
Missing divisor problems
\[ 72 \div \text{___} = 9 \]
Find the missing divisor in a division calculation.
Division by 10/100/1000
\[ 326.8 \div 10 = \]
Divide by 10, 100 or 1000.
Fractions
Fraction addition (same denominators)
\[ \frac{4}{6} + \frac{3}{6} = \]
Add fractions that have the same denominator.
Fraction subtraction (same denominators)
\[ \frac{9}{11} – \frac{4}{11} = \]
Subtract fractions that have the same denominator.
Fraction operations (related denominators)
\[ \frac{1}{3} – \frac{1}{9} = \]
Add or subtract fractions where one denominator is a multiple of the other.
Fraction addition (unrelated denominators)
\[ \frac{2}{3} + \frac{4}{5} = \]
Add or subtract fractions where both must be converted to a common denominator.
Mixed number addition (same denominators)
\[ 2 \frac{3}{5} + 1 \frac{3}{5} = \]
Add mixed numbers that have the same denominator.
Mixed number addition (different denominators)
\[ 2 \frac{1}{6} + \frac{2}{5} = \]
Add a mixed number and a fraction with different denominators.
Multiplying fractions
\[ \frac{2}{5} \times \frac{5}{6} = \]
Multiply two proper fractions together.
Dividing fractions by whole numbers
\[ \frac{5}{8} \div 3 = \]
Divide a proper fraction by a whole number.
Adding three fractions
\[ \frac{1}{6} + \frac{2}{3} + \frac{3}{12} = \]
Add three fractions requiring common denominators.
Percentages
Simple percentages (10% 5% 1%)
\[ 5\% \text{ of } 860 = \]
Find 10% or 5% or 1% of an amount.
Multi-step percentages
\[ 19\% \text{ of } 2300 = \]
Find a percentage requiring combining simpler percentages.
Special cases
Order of operations (BIDMAS)
\[ (5^2 + 3) – 12 \div 4 = \]
Apply correct order of operations with brackets and indices.
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