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GCSE Foundation Mixed Review
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Number essentials
Ordering negative numbers
\[ 3, -5, -1, 0 \rightarrow \text{order} \]
Put numbers including negatives in order.
Adding and subtracting negatives
\[ -7 + 12 = \text{?} \]
Calculate with negative numbers.
Evaluating powers
\[ 3^2 = \text{?} \]
Calculate a number raised to a power.
Finding square roots
\[ \sqrt{81} = \text{?} \]
Find the square root of a perfect square.
Order of operations (BIDMAS)
\[ 20 \div (3 + 2) = \text{?} \]
Calculate using correct order of operations.
Rounding to a given place value
\[ 327 \rightarrow \text{nearest 10} \]
Round a number to specified accuracy.
Identifying a specific factor
\[ \text{Factor of 48 between 7 and 9?} \]
Identify a factor meeting a condition.
Prime factor decomposition
\[ 72 = 2^3 \times 3^2 \]
Express as product of primes in index form.
Fractions and decimals
Converting decimals to fractions
\[ 0.3 = \frac{3}{10} \]
Convert decimal to simplest fraction.
Converting fractions to decimals
\[ \frac{9}{100} = 0.09 \]
Convert a fraction to a decimal.
Converting percentages to decimals
\[ 38\% = 0.38 \]
Convert a percentage to a decimal.
Converting fractions to percentages
\[ \frac{3}{10} = 30\% \]
Convert a fraction to a percentage.
Ordering decimals
\[ 0.3, 0.21, 0.03 \rightarrow \text{order} \]
Put decimals in order smallest first.
Adding fractions (related denoms)
\[ \frac{5}{12} + \frac{1}{6} = \text{?} \]
Add fractions with related denominators.
Multiplying fractions
\[ \frac{3}{10} \times \frac{5}{8} = \text{?} \]
Multiply fractions and simplify.
Dividing fractions
\[ \frac{3}{5} \div \frac{1}{6} = \text{?} \]
Divide fractions and simplify.
Fraction of a shape
\[ \text{What fraction is shaded?} \]
Identify fraction of shape shaded.
Percentages
Finding a percentage (non-calc)
\[ 15\% \text{ of } £80 = \text{?} \]
Calculate percentage without calculator.
Ratio and proportion
Ratio to fraction of whole
\[ 2:5 \rightarrow \text{fraction} \]
Express ratio part as fraction of whole.
Algebra basics
Simplifying products
\[ 3 \times a \times 4 = \text{?} \]
Simplify by multiplying terms.
Collecting like terms
\[ 5b + 4c – 7b + c = \text{?} \]
Simplify by collecting like terms.
Simplifying algebraic fractions
\[ \frac{15a}{3} = \text{?} \]
Simplify algebraic fraction by dividing.
Expanding single brackets
\[ 2(a + d) = \text{?} \]
Expand expression with single bracket.
Factorising (common factor)
\[ 8d – 6 = \text{?}(\text{?}) \]
Take out a common numerical factor.
Factorising (common variable)
\[ 6y^2 – 5y = \text{?}(\text{?}) \]
Factorise with common variable.
Equations and formulae
Solving one-step equations
\[ p – 2 = 3 \]
Solve equation with one operation.
Solving two-step equations
\[ 4x – 7 = 37 \]
Solve equation requiring two steps.
Solving equations with brackets
\[ 3(2x + 1) = 21 \]
Solve equation including brackets.
Substituting into formulae
\[ P = 2g + 4h; \text{ find } P \]
Substitute values into a formula.
Finding unknown from formula
\[ P = 2g + 4h; \text{ find } g \]
Use formula to find unknown variable.
Finding the nth term
\[ -5, 3, 11, 19 \rightarrow n\text{th term} \]
Find nth term formula for sequence.
Geometry essentials
Naming 2D and 3D shapes
\[ \text{Name this shape} \]
Identify and name common shapes.
Circle terminology
\[ \text{“Centre to edge” = ?} \]
Identify circle parts from definitions.
Basic angle facts
\[ 125° + x = 180° \]
Use angle facts to find missing angles.
Perimeter and Area
\[ P = 28, w = 5, x = \text{?} \]
Use perimeter or area to find x.
Statistics essentials
Finding the range
\[ 2, 4, 4, 7, 8 \rightarrow \text{range} \]
Find the range of a set of data.
Finding the mean
\[ 13, 5, 4, 9, 3, 8 \rightarrow \text{mean} \]
Calculate the mean of a set of numbers.
Finding median from stem-and-leaf
\[ \text{Stem-and-leaf} \rightarrow \text{median} \]
Find median from stem and leaf diagram.
Probability essentials
Basic probability from a list
\[ P(C) = \frac{1}{8} \]
Find probability of selecting an item.
Timer (Optional)
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