Cambridge Primary Checkpoint · Mathematics 0096 · Stage 6
Checkpoint 6 Maths — Complete Course
The whole Cambridge Primary Stage 6 Mathematics curriculum, taught step by step with worked examples, diagrams and an interactive quiz on every page, plus full Checkpoint-style practice tests (Paper 1 and Paper 2) with printable PDFs and mark schemes.
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How the Checkpoint Maths test works and how to use this course.
Number: integers and calculation
Negative numbers, sequences, the four operations, factors, squares and cubes.
- Counting On and Back and Negative NumbersCount on and back in whole-number, fraction and decimal steps past zero, and add, subtract and estimate with negative numbers.
- Sequences, Letters and Position-to-Term RulesUse letters for numbers that vary, find and use position-to-term rules from repeated addition, and generate terms of square-number sequences.
- Order of Operations, Brackets and Laws of ArithmeticUse the order of operations, brackets and the commutative, associative and distributive laws to calculate accurately and simplify calculations.
- Multiplying Whole Numbers (up to 10 000 × 2-digit)Estimate, then multiply whole numbers up to 10 000 by 1-digit and 2-digit numbers using the grid method, short and long multiplication, and check your answers.
- Dividing Whole Numbers (up to 1000 ÷ 2-digit)Estimate and divide whole numbers up to 1000 by 1-digit and 2-digit numbers using short division, chunking and long division, and decide what to do with remainders.
- Factors, Multiples and Tests of DivisibilityFind factors, multiples, common factors and common multiples, and use quick tests to see whether a number is divisible by 3, 6 or 9.
- Square Numbers and Cube NumbersKnow the square numbers and the cube numbers from 1 to 125, link cubes to squares, and use square numbers to find terms in a sequence from their position.
Number: place value, decimals, fractions, percentages and ratio
- Place Value and Decimals to ThousandthsLearn what every digit in a decimal is worth, how to multiply and divide by 10, 100 and 1000, and how to split and regroup decimals to thousandths — with worked examples and a Checkpoint-style quiz.
- Rounding DecimalsRound numbers with two decimal places to the nearest tenth or whole number, work backwards from a rounded value, and use rounding to estimate — with number lines, worked examples and a Checkpoint-style quiz.
- Fractions: Division, Operators and Simplest FormSee every fraction as a division, find fractions of amounts with proper and improper fractions, and write fractions in their simplest form — with bar models, worked examples and a Checkpoint-style quiz.
- Adding and Subtracting FractionsEstimate, add and subtract fractions with different denominators using common denominators and equivalent fractions — with fraction-bar diagrams, worked examples and a Checkpoint-style quiz.
- Multiplying and Dividing Fractions by Whole NumbersLearn how to estimate, multiply and divide proper fractions by whole numbers, with diagrams that show why the rules work, worked Checkpoint-style examples and a 14-question practice quiz.
- Fractions, Decimals and Percentages: Equivalence and OrderingChange confidently between fractions, decimals and percentages, find percentages of shapes and amounts, and compare and order mixed numbers with =, > and <.
- Adding, Subtracting, Multiplying and Dividing DecimalsEstimate and calculate with decimals: add and subtract with different numbers of decimal places, and multiply and divide decimals by whole numbers — with written methods, worked examples and practice.
- Ratio and Direct ProportionUnderstand ratio and direct proportion: write and simplify equivalent ratios, scale recipes and prices with the unitary method, and share amounts using bar models.
Geometry and measure
- Time: Decimals and Mixed UnitsChange times such as 2.75 hours into hours and minutes and back again — with diagrams, worked examples, common mistakes and a 14-question practice quiz.
- Quadrilaterals: Properties and ClassificationName, describe, sort and sketch quadrilaterals using their sides, angles, parallel sides, lines of symmetry and diagonals.
- Circles: Parts and Constructing CirclesLearn the centre, radius, diameter and circumference of a circle, and how to construct a circle of any radius or diameter with compasses.
- Angles: Measuring, Drawing and Angles in a TriangleClassify, estimate, measure and draw angles with a protractor, and use the fact that the angles in a triangle add up to 180°.
- Area of Rectangles and Right-angled TrianglesFind the area of rectangles, see why a right-angled triangle is half a rectangle, estimate areas, and solve Checkpoint problems with compound shapes.
- 3D Shapes, Compound Shapes and NetsLearn the faces, edges and vertices of 3D shapes, describe and sketch compound shapes, and recognise and draw nets of cubes, cuboids, prisms and pyramids.
- Capacity, Volume and Surface AreaUnderstand the difference between volume and capacity, link cm³ to ml, find volume by counting cubes, and calculate surface area from the areas of the faces.
- Coordinates in Four QuadrantsRead and plot coordinates with whole numbers, fractions and decimals in all four quadrants, and use shape properties to plot lines and complete shapes.
- Rotational Symmetry, Translation, Reflection and RotationFind the order of rotational symmetry of shapes and patterns, then translate, reflect and rotate shapes on grids, with worked examples, tracing-paper methods and a 14-question practice quiz.
Statistics and probability
- Collecting and Representing DataPlan an investigation, tell categorical, discrete and continuous data apart, and record and show data with tally charts, Venn and Carroll diagrams, bar charts, waffle and pie charts, frequency diagrams, line graphs, scatter graphs and dot plots.
- Mode, Median, Mean and Range, and Interpreting DataFind and interpret the mode (including bimodal data), median, mean and range, choose the most suitable average, and compare data sets to draw conclusions and check predictions.
- ProbabilityDescribe and compare chances with probability words and proportions, decide when events are mutually exclusive, and carry out experiments with small and large numbers of trials to estimate and predict.
Practice tests
Full Checkpoint-style tests: Paper 1 (no calculator) and Paper 2 (calculator), 45 minutes and 40 marks each.
- Checkpoint 6 Maths — Practice Test 1A full timed Checkpoint-style Maths test — Paper 1 without a calculator and Paper 2 with one, 45 minutes and 40 marks each — set in a school library, a juice stall, a zoo trip, a garden plan, sports day and a weather chart, with automatic marking, a mark scheme and full worked solutions.
- Checkpoint 6 Maths — Practice Test 2A full two-paper practice test in Checkpoint style (2 × 45 minutes, 2 × 40 marks; Paper 1 without a calculator, Paper 2 with one), with automatic marking and a full mark scheme. By Mohamed Abdelkriem.
- Checkpoint 6 Maths — Practice Test 3A full timed Checkpoint-style Maths test — Paper 1 without a calculator and Paper 2 with one, 45 minutes and 40 marks each — set at a school fun fair, a model-car workshop, a swimming gala, a farm and a bookshop sale, with automatic marking, a mark scheme and full worked solutions.