SATs Reasoning Practice
Master problem-solving and mathematical reasoning. Two papers, 40 minutes each, testing application of maths to real-world contexts.
Generate Reasoning Paper
Create a 40-minute reasoning paper with mark scheme.
Create Reasoning Paper (£0.80) →About Papers 2 & 3: Reasoning
The reasoning papers test how pupils apply their mathematical knowledge. Questions are set in real-world contexts, requiring reading comprehension alongside calculation skills.
💡 Top Tip for Reasoning Papers
Read each question twice before calculating. Highlight key numbers and identify what the question is actually asking. Many marks are lost by answering a different question!
Question Types
Word Problems
Real-world contexts, shopping, measurements, time
Multi-step
Problems requiring 2-3 calculation steps
Explaining
Show/explain your answer, justify reasoning
Tables & Charts
Reading data, interpreting graphs, timetables
Geometry
Shapes, angles, area, perimeter, coordinates
Patterns
Number sequences, shape patterns, rules
Missing Numbers
Find the missing value, balancing equations
True or False
Evaluate statements, prove or disprove
Problem-Solving Strategy
The RUCSAC Method
Read
Read the question carefully
Understand
What is it asking for?
Choose
What operation(s) do I need?
Solve
Do the calculation
Answer
Give a full answer with units
Check
Does my answer make sense?
Common Reasoning Topics
Number & Calculation
- • Money problems (shopping, change, budgets)
- • Time calculations (durations, timetables)
- • Fractions, decimals, percentages in context
- • Ratio and proportion scenarios
Shape & Space
- • Perimeter and area of compound shapes
- • Angles in shapes and on lines
- • Coordinates and transformations
- • Volume of cubes and cuboids
Data Handling
- • Reading and interpreting graphs
- • Calculating averages from data
- • Tables and timetables
- • Line graphs and pie charts
Algebra
- • Missing number problems
- • Simple equations
- • Number sequences and patterns
- • Simple formulae