The Physics Question Bank

11+ and KS2 SATs Maths: Ramped Questions with Worked Answers

โœ๏ธ Paper first! Work out every question on paper before you open the answer. Write down every step โ€“ the equation, the numbers with units, the rearranging and the answer with its unit. In the exam, if your final answer is wrong you can still get marks for correct working, but only if the examiner can see it.

For: Year 5 and Year 6  |  Exams: KS2 SATs, grammar-school 11+ (GL and CEM style) and independent-school 11+  |  Calculator: not allowed

11+ maths is KS2 maths pushed harder. These pages use one ramp for both exams: each topic starts with SATs-style arithmetic and climbs to the hardest selective 11+ questions. Every level has a worked example, a common mistake to avoid and 10 practice questions with answers.

๐Ÿ“ถ HOW THE LEVELS WORK

Level 1 โ€“ SATs core: the arithmetic in SATs Paper 1.
Level 2 โ€“ SATs stretch: the harder reasoning questions in SATs Papers 2 and 3.
Level 3 โ€“ 11+ standard: multi-step word problems, typical of grammar-school papers.
Level 4 โ€“ 11+ selective: working backwards and unfamiliar problems, typical of independent-school papers.

For SATs, aim to be secure at Levels 1 and 2. For the 11+, work up to Level 3 or 4 depending on the school.

๐Ÿ–จ๏ธ Prefer paper? Printable maths booklets

Daily Maths Workout (ยฃ15): 365 days of 5 mixed questions, 10 minutes a day. Topic Practice (ยฃ12.99): 160 ramped questions across all 16 topics. Both are new questions, not the ones on these pages, with full answer booklets and column methods.

See the booklets โ†’ ยท Free samples: Daily Workout ยท Topic Practice

Topics

Number

Ratio and algebra

  • Ratio and Proportion: simplifying, scaling recipes, sharing in a ratio, map scales, best value and changing ratios
  • Algebra: missing numbers, formulae, equations, sequences, symbol puzzles and working backwards

Measurement and geometry

  • Units, Money and Time: metric and imperial conversions, money, timetables, reading scales, slow clocks and time zones
  • Area, Perimeter and Volume: rectangles, triangles, compound shapes, cuboids, filling tanks and cube puzzles
  • Angles: angles on lines and at points, triangles, quadrilaterals, regular polygons and clock angles
  • Properties of Shapes: 2D and 3D shapes, faces, edges and vertices, symmetry, nets and counting hidden shapes
  • Coordinates and Transformations: plotting points in four quadrants, translations, reflections, areas on a grid and mirror lines
  • Speed, Distance and Time (11+ only): journeys, average speed, distanceโ€“time graphs, meeting and catching up

Statistics and probability

  • Statistics, Charts and Averages: tables, pictograms, bar charts, line graphs, pie charts, mean, median, mode and range
  • Probability (11+ only): probability words and scales, spinners, dice, listing outcomes and fair games

Reasoning

How to use these pages

  • Read the worked example for a level before trying its questions.
  • Write your working down, even for quick questions. Most marks are lost to small slips.
  • Check each answer by opening it, then move up a level once you get 8 out of 10 right.

Looking for English? See the 11+ and KS2 SATs grammar, punctuation and spelling topics.

All questions are original and written in the style of KS2 SATs and 11+ papers. They are not taken from any exam board’s papers.

๐Ÿ›’ Want it all printable? Revision booklets, PowerPoints and workbooks are in the Physics Question Bank store on Payhip.