MATHEMATICSProblem Solving & Reasoning
Estimation
≈
~
1sf
● Learning Path Verified 11+
Estimation
Rapidly approximate complex equations using the power of rounding.
What you'll learn
Core 11+ exam skills
Rounding to 1 SF
Develop foundational techniques logically.
Estimating Addition
Apply mathematical rules to varying scenarios.
Estimating Multiplication
Learn to track calculations dynamically.
Checking Answers
Verify accuracy and solve efficiently.
Core Framework
The mechanics of Estimation
Significant Figures
Round everything to 1 significant figure first.
Mental Maths
Use approximations (e.g., 99 × 4 ≈ 100 × 4).
Reasonableness
If you buy 3 apples, it won't cost £4000.
Upper/Lower Bounds
Recognizing if your guess is too high or too low.
Key Facts to Remember
💡
Estimation is your best defense against silly calculator errors.
🔄
The symbol "≈" means "is approximately equal to".
➕
Round BEFORE you calculate, not after.
➖
If you round numbers up, your estimate will be higher than the true answer.
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