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GCSE Foundation 1-Mark Skills
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Place Value and Ordering
Identify digit value
\[ \text{Value of 7 in } 3{,}742 \]
Find the value of a digit in a number.
Order numbers
\[ 0.34, 0.4, 0.043 \rightarrow ? \]
Put numbers in ascending/descending order.
Write number in figures
\[ \text{three thousand} = ? \]
Write words as digits.
Rounding
Round whole numbers
\[ 34{,}567 \approx ? \text{ (nearest 1000)} \]
Round to nearest 10, 100, or 1000.
Round to decimal places
\[ 3.4567 \approx ? \text{ (2 d.p.)} \]
Round to 1 or 2 decimal places.
Round to significant figures
\[ 0.00456 \approx ? \text{ (2 s.f.)} \]
Round to 1, 2 or 3 significant figures.
Number Properties
Identify factors
\[ \text{Factors of } 24 \]
List all factors of a number.
Identify multiples
\[ \text{Multiple of } 7\text{?} \]
Identify multiples from a list.
Identify number types
\[ \text{Square, cube or prime?} \]
Identify special number types.
Squares and square roots
\[ \sqrt{81} = ? \]
Calculate squares or square roots.
Cubes and cube roots
\[ 4^3 = ? \]
Calculate cubes or cube roots.
Find reciprocals
\[ \text{Reciprocal of } 4 \]
Find the reciprocal of a number.
FDP Conversions
Decimals ↔ Percentages
\[ 0.35 = ?\% \]
Convert between decimals and %.
Decimals → Fractions
\[ 0.75 = ? \]
Write a decimal as a fraction.
Percentages → Fractions
\[ 35\% = ? \]
Write a percentage as a fraction.
Basic Calculations
Add/subtract negatives
\[ (-5) + 8 = \square \]
Add and subtract negative numbers.
Multiply/divide negatives
\[ (-6) \times 4 = \square \]
Multiply and divide negative numbers.
Order of operations
\[ 3 + 4 \times 5 = \square \]
Apply BIDMAS correctly.
Unit fraction of amount
\[ \frac{1}{5} \text{ of } 45 = \square \]
Find a unit fraction of an amount.
Algebra: Simplifying
Collect like terms
\[ 3x + 5y – 2x = ? \]
Simplify by collecting like terms.
Simplify products
\[ 3a \times 4b = ? \]
Simplify products of terms.
Index laws
\[ x^3 \times x^4 = ? \]
Apply laws of indices.
Factorise single brackets
\[ 6x + 9 = ?(…) \]
Take out a common factor.
Algebra: Equations and Substitution
Solve one-step equations
\[ x + 7 = 12 \]
Solve equations with one operation.
Substitute into expressions
\[ 3x + 2y \text{ when } x=4 \]
Substitute values into expressions.
Inequalities on number lines
\[ -2 \leq x < 3 \]
Read or draw inequalities.
List integers from inequality
\[ -2 < x \leq 3 \rightarrow ? \]
List integers satisfying an inequality.
Coordinates and Lines
Read coordinates
\[ \text{Point } A = (?, ?) \]
Read coordinates from a grid.
Find midpoint
\[ \text{Midpoint of } (2,4), (6,10) \]
Calculate the midpoint.
Horizontal/vertical lines
\[ y = 4 \text{ or } x = -2 \]
Identify equations of lines.
Unit Conversions
Convert length
\[ 3.5\text{ km} = ?\text{ m} \]
km ↔ m ↔ cm ↔ mm
Convert mass
\[ 4500\text{ g} = ?\text{ kg} \]
kg ↔ g ↔ mg
Convert capacity
\[ 2.5\text{ L} = ?\text{ ml} \]
litres ↔ ml ↔ cl
Convert time
\[ 2.5\text{ hours} = ?\text{ mins} \]
hours ↔ minutes ↔ seconds
Shape Recognition
Name 2D shapes
\[ \text{Pentagon, hexagon…} \]
Identify 2D shapes.
Name 3D shapes
\[ \text{Prism, pyramid…} \]
Identify 3D shapes.
Parts of a circle
\[ \text{Radius, chord, arc…} \]
Identify circle parts.
Classify angles
\[ \text{Acute, obtuse, reflex} \]
Classify angle types.
Vectors
Vector arithmetic
\[ 3\begin{pmatrix}2\\-1\end{pmatrix} = ? \]
Scalar multiplication or add vectors.
Translation vectors
\[ A \rightarrow B = \begin{pmatrix}?\\?\end{pmatrix} \]
Describe translations as vectors.
Averages and Data
Find the mode
\[ 3, 5, 7, 3, 8, 3 \rightarrow ? \]
Find the most frequent value.
Find the median
\[ 12, 5, 8, 15, 3 \rightarrow ? \]
Find the middle value.
Find the range
\[ \text{Range} = \text{max} – \text{min} \]
Calculate the range.
Reading Charts
Read bar charts
\[ \text{Read value from bar} \]
Read values from bar charts.
Read pictograms
\[ \text{Key: } ● = 5 \]
Read values from pictograms.
Interpret pie charts
\[ 90° = 32 \text{ people} \rightarrow ? \]
Calculate from pie charts.
Describe correlation
\[ \text{Positive, negative, none} \]
Identify correlation type.
Probability
Probability scale
\[ 0.75 \text{ on } 0\text{-}1 \text{ scale} \]
Position probability on a scale.
Single-event probability
\[ P(\text{red}) = ? \]
Calculate simple probabilities.
Timer (Optional)
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