Pro Mode Academy
Pro ModeAcademy
MATHEMATICSProblem Solving & Reasoning
CURRENT TOPICEstimation
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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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