Place Values and Decimals
Read, write, compare, or partition each number using place value.
Measurement
30 objectives
Rounding to Decimal Points
Round each decimal to the required number of decimal places.
Multiplying and dividing by 10,100,1000
Calculate each using place value.
Scientific notation
Develop secure understanding of scientific notation.
Integers
Develop secure understanding of integers.
Powers & Roots
Develop secure understanding of powers & roots.
GEMA (formerly BEDMAS)
Develop secure understanding of order of operations (GEMA/BEDMAS).
Substitution
Substitute numbers for variables in expressions and evaluate.
Measurement prefixes
Develop secure understanding of measurement prefixes and common derived units.
Time
Develop secure understanding of time and time calculations.
Reading scales
Read values from scales, work out intervals, and place values accurately on scales.
Weight
Convert between grams, kilograms, and tonnes; solve practical mass problems.
Capacity
Convert between millilitres and litres; compare capacities and solve practical problems.
Converting between length units
Convert between millimetres, centimetres, metres, and kilometres; solve practical length problems.
Estimating lengths from scale drawings and photos
Estimate real lengths by using scales on drawings, maps, and photos.
Perimeter (shapes with straight edges only)
Find and use the perimeter of straight-edged shapes, including simple composite shapes.
Area of basic shapes only (squares, rectangles, triangles, parallelograms, kite)
Find and use the area of squares, rectangles, triangles, parallelograms, and kites, including simple reverse problems.
Area of L-shapes and composite shapes
Find the area of L-shapes and other composite shapes by splitting them into simpler parts or subtracting missing parts.
Area of trapezium
Find and use the area of a trapezium, including reverse problems and composite shapes.
Circumference and area of circles
Calculate the circumference and area of circles, including semicircles and quarter circles.
Volume of cubes and cuboids
Explore Volume of cubes and cuboids.
Volume of prism
Mana Maths worksheet pages generated from the worksheet files, with printable PDFs alongside them.
Liquid volume
Understand the relationship between volume in cm³ and liquid volume in mL/L. Know that 1 cm³ = 1 mL and 1000 cm³ = 1 L.
Perimeter and area of composite shapes involving circles
Explore Perimeter and area of composite shapes involving circles.
Drawing nets of basic shapes
Explore Drawing nets of basic shapes.
Surface area
Explore Surface area.
Volume of other 3D shapes (cylinders, cones, pyramids, spheres, etc)
Explore Volume of other 3D shapes (cylinders, cones, pyramids, spheres, etc).
Forming measurement expressions
Explore Forming measurement expressions.
Solving measurement equations
Explore Solving measurement equations.
Advanced Power Rules
Explore Advanced Power Rules.
Number & Algebra
36 objectives
Forming Fractions
Write each as a fraction.
Equivalent Fractions
Find or identify fractions that are equivalent.
Simplifying Fractions
Simplify each fraction to its simplest form.
Converting between improper fractions and mixed numbers
Convert between improper fractions and mixed numbers.
Adding and subtracting fractions
Add or subtract each fraction. Simplify where you can.
Multiplying fractions
Multiply each fraction. Simplify where you can.
Reciprocals
Find the reciprocal of each value.
Dividing fractions
Divide each fraction. Simplify where you can.
Finding fractions of quantity
Find each fraction of the quantity.
Multiples & Lowest Common Multiples
Find the multiples or lowest common multiple.
Factors, Highest Common Factors & Primes
Find the factors, highest common factor, or identify primes.
Irrational numbers
Identify, compare, or use irrational numbers.
Forming expressions
Write an algebraic expression for each description.
Multiplying Expressions (no powers)
Multiply and simplify each expression.
Adding and Subtracting Expressions (Like Terms)
Simplify each expression by collecting like terms.
Multiplying Expressions (with powers)
Multiply and simplify each expression, using powers where helpful.
Dividing Expressions
Simplify each expression by dividing the coefficients and variables.
Simplifying Expressions with GEMA / BEDMAS
Simplify each expression using the correct order of operations.
Expanding single brackets
Expand and simplify each expression.
Factorising single brackets
Factorise each expression into a single bracket.
Defining Variables & Forming Equations
Choose variables to represent unknowns and write simple equations from descriptions.
Solving 1-step equations
Solve simple 1-step linear equations (addition/subtraction or multiplication/division).
Solving 2-step equations
Explore Solving 2-step equations.
Solving equations with variables on both sides
Explore Solving equations with variables on both sides.
Forming and solving equations from context
Explore Forming and solving equations from context.
Solving inequalities
Explore Solving inequalities.
Re-arranging formula
Explore Re-arranging formula.
Mixed Numbers
Explore Mixed Numbers.
Prime Factors
Explore Prime Factors.
Basic Power Rules
Explore Basic Power Rules.
Expanding double brackets
Explore Expanding double brackets.
Factorising double brackets (with a co-efficient equal to 1)
Explore Factorising double brackets (with a co-efficient equal to 1).
Factorising special double brackets (perfect squares, difference between squares)
Explore Factorising special double brackets (perfect squares, difference between squares).
Solving equations with fractions
Explore Solving equations with fractions.
Solving quadratics
Explore Solving quadratics.
Simplifying algebraic fractions
Explore Simplifying algebraic fractions.
Statistics & Probability
27 objectives
Relationship between percentages, fractions, and decimals
Convert between percentages, fractions, and decimals.
Forming percentages
Write each value as a percentage.
Percentage of a given quantity
Find each percentage of the amount.
Increasing and decreasing by a given percentage
Increase or decrease each amount by the given percentage.
Tools of chance
Describe outcomes and probabilities for simple tools of chance.
F/T
Write each probability as favourable outcomes over total outcomes.
Probabilities from experiments and statistical displays
Use experimental results and statistical displays to estimate probabilities.
Trees/Combined Events
Use tree diagrams and combined-event reasoning to list outcomes and find probabilities.
Two-way tables
Use two-way tables to read frequencies, totals, and simple probabilities.
Expected Number
Calculate expected number of successes in repeated trials.
Investigation types
Identify and understand different types of statistical investigations: summary, comparison, relationship, and time-series.
Types of data
Identify and classify different types of data: qualitative/quantitative, discrete/continuous, primary/secondary.
Calculating averages and range
Calculate mean, median, mode, and range for given data sets.
Quartiles
Explore Quartiles.
Selecting appropriate displays
Explore Selecting appropriate displays.
Interpreting pie charts & pictograms
Explore Interpreting pie charts & pictograms.
Interpreting bar graphs & histograms
Explore Interpreting bar graphs & histograms.
Writing a statistical paragraph
Explore Writing a statistical paragraph.
Analysing time series graphs - TSN
Explore Analysing time series graphs - TSN.
Analysing scatter plots (i.e. bivariate) - TARSOG
Explore Analysing scatter plots (i.e. bivariate) - TARSOG.
Comparing box-and-whisker graphs - CSSI
Explore Comparing box-and-whisker graphs - CSSI.
Misleading graphs
Explore Misleading graphs.
Planning and collecting multivariate data
Explore Planning and collecting multivariate data.
Reverse percentage
Explore Reverse percentage.
Linear model for scatter plots
Explore Linear model for scatter plots.
Sampling variation
Explore Sampling variation.
Sampling methodology
Explore Sampling methodology.
Patterns and Graphs
19 objectives
Extrapolating linear, quadratic, and exponential patterns
Explore Extrapolating linear, quadratic, and exponential patterns.
Identifying linear, quadratic, and exponential patterns
Explore Identifying linear, quadratic, and exponential patterns.
Spatial patterns (including drawing next pattern and converting to pattern)
Explore Spatial patterns (including drawing next pattern and converting to pattern).
Determining nth term of pattern or spatial pattern
Explore Determining nth term of pattern or spatial pattern.
Understanding Cartesian plane and co-ordinates
Explore Understanding Cartesian plane and co-ordinates.
Coordinates and grid points
Explore Coordinates.
Drawing straight-line from given equation
Explore Drawing straight-line from given equation.
Gradient
Explore Gradient.
Finding x- and y-intercepts
Explore Finding x- and y-intercepts.
Forming equations of given straight line graph (using y=mx+c)
Explore Forming equations of given straight line graph (using y=mx+c).
Forming equations of horizontal and vertical lines
Explore Forming equations of horizontal and vertical lines.
Finding point of intersection of two lines
Explore Finding point of intersection of two lines.
Drawing parabola from given equation
Explore Drawing parabola from given equation.
Using tables to explore patterns and graphs
Explore Using tables to explore patterns and graphs.
Applying straight line graphs to solve problems
Explore Applying straight line graphs to solve problems.
Using algebra to find the point of intersection of two lines
Explore Using algebra to find the point of intersection of two lines.
Forming equation of parabolas
Explore Forming equation of parabolas.
Using features of a parabola to solve problems
Explore Using features of a parabola to solve problems.
Drawing exponential graphs
Explore Drawing exponential graphs.
Geometry & Right-Angled Triangles
19 objectives
Naming angles
Explore Naming angles.
Angles around a point
Explore Angles around a point.
Angles on a straight line
Explore Angles on a straight line.
Vertically opposite angles
Explore Vertically opposite angles.
Interior angles of a triangle
Explore Interior angles of a triangle.
Parallel line rules
Explore Parallel line rules.
Regular/irregular polygon
Explore Regular/irregular polygon.
Pythagoras theory finding short and long sides
Explore Pythagoras theory finding short and long sides.
Applying Pythagoras’ theory
Explore Applying Pythagoras’ theory.
Pythagorean triples
Explore Pythagorean triples.
Transformation (Translation, reflection, enlargement)
Explore Transformation (Translation, reflection, enlargement).
Rotational symmetry and order of symmetry
Explore Rotational Symmetry.
Representing and constructing 3D shapes
Explore Representing and constructing 3D shapes.
Isometric drawing of 3D shapes
Explore Isometric Drawing.
Nets of 3D shapes
Explore Nets of 3D shapes.
Using trig functions to calculate lengths of a right-angled triangle
Explore Using trig functions to calculate lengths of a right-angled triangle.
Using trig functions to calculate angles of a right-angled triangle
Explore Using trig functions to calculate angles of a right-angled triangle.
Applying Pythagoras’ Theory to 3D representations
Explore Applying Pythagoras’ Theory to 3D representations.
Introduction to Circle Geometry
Explore Introduction to Circle Geometry.