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KS2 SATs Paper 2 (Reasoning)
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Dividing by powers of 10
Dividing by 10
\[ 45 \div 10 = 4.5 \]
Divide a 1, 2 or 3 digit number by 10.
Dividing by 100
\[ 7 \div 100 = 0.07 \]
Divide a 1, 2 or 3 digit number by 100.
Place value
Identifying digit value
\[ 4,352,716 \]
Identify the value of a specific digit (unique digits).
Finding more or less
\[ 2000 \text{ more than } 5{,}639 \]
Add or subtract a multiple of a power of 10.
Ordering negative numbers
\[ -10, -4, 1, 6 \]
Order temperatures including negative values.
Number puzzles with constraints
\[ \text{Even, } > 236, < 245 \]
Find a number satisfying multiple conditions.
Ordering decimals
\[ 0.96, 1.253, 1.9 \]
Order decimal numbers with varying places.
Operations
Division – finding quotient
\[ 35 \div 3 = 11 \text{ r } 2 \]
Find how many complete groups when dividing.
Division – finding remainder
\[ 35 \div 4 \text{ leaves } 3 \]
Find the remainder after division.
Missing digit multiplication
\[ \_5\_ \times 3 = 7\_2 \]
Find missing digits to complete a multiplication.
Inverse operations
\[ ? \times 7 + 85 = 953 \]
Work backwards to find the starting number.
Identifying multiples
\[ \text{Multiples of 8} \]
Identify which numbers are multiples.
Finding missing part
\[ 860 = 331 + 295 + ? \]
Find the missing part when total is known.
Number sequences
\[ 249, 229, 209, ?, ? \]
Find the rule and continue a sequence.
Fractions
Fraction of shape shaded
\[ \frac{3}{8} \text{ shaded} \]
State the fraction of a shape that is shaded.
Equivalent fractions
\[ \frac{3}{5} = \frac{?}{20} \]
Find the missing numerator or denominator.
Money
Counting mixed coins
\[ £2 + 50p + 20p \]
Count coin values and compare amounts.
Finding change
\[ £5 – £3.45 \]
Calculate change from a payment.
Finding unit price
\[ 3 \text{ items for } ? \text{ each} \]
Work out the cost of one item.
Multi-step with offers
\[ \text{Second half price} \]
Calculate totals with special offers.
Measures
Time unit conversions
\[ 60 \text{ months} = ? \text{ years} \]
Convert between time units.
Mass conversions (g ↔ kg)
\[ 4200g = ?kg \]
Convert between grams and kilograms.
Reading scales
\[ \leftarrow ? \rightarrow \]
Read a value from a scale or number line.
Multi-step distance
\[ 450 = 180 + 125 + ? \]
Find missing distance when total is known.
Geometry
Angles close to target
\[ \text{Closest to } 90° \]
Select the angle most similar to a target.
Reflection in vertical line
\[ \text{Mirror: } | \]
Complete a reflection in a vertical mirror line.
Reflection in horizontal line
\[ \text{Mirror: } — \]
Complete a reflection in a horizontal mirror line.
Reading coordinates
\[ (x, y) \]
Read the coordinates of a point on a 6×6 grid.
Cube nets – opposite faces
\[ \text{Opposite to } ★ \]
Identify opposite faces on a cube net.
Statistics
Distance-time graphs
\[ \text{When resting?} \]
Interpret sections of a distance-time graph.
Finding closest value
\[ \text{Closest to } 1{,}380 \]
Identify which value is closest to a target.
Reading tables
\[ \text{How much?} \]
Extract information from a table.
Problem solving
Multi-step word problems
\[ \text{2-3 step problems} \]
Solve problems requiring multiple steps.
Factor pairs
\[ 36 = 1 \times 36 = 2 \times … \]
List all factor pairs of a given number.
Cube and cuboid properties
\[ \text{12 edges} \times 4cm \]
Apply 3D shape properties to solve problems.
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