Reference sheet

IGCSE Calculator Skills

Most impossible calculator answers come from one of three causes: the wrong angle mode, a missing bracket, or a rounded value re-entered by hand. All three are avoidable habits rather than knowledge gaps.

Cambridge IGCSE Mathematics, Additional Mathematics and the sciences

A scientific calculator is assumed on several IGCSE papers, and marks are lost to operation rather than to method. This sheet covers the settings and habits that prevent those losses.

Modes and settings to check

Modes and settings to check
Setting When it matters How to spot the error
Degree modeTrigonometry stated in degrees, which covers most of 0580sin 30 should give 0.5, not minus 0.988
Radian modeCircular measure and calculus in 0606sin 1.5 should give 0.997, not 0.026
Normal displayGeneral workingAnswers appearing as unexpected fractions or surds
Standard form displayVery large or very small numbersNumbers shown with an unfamiliar exponent notation
Clear memoryStart of every questionA previous answer contaminating a new calculation

Keys worth knowing

Keys worth knowing
Key What it does Typical use
ANSRecalls the previous answer exactlyChaining calculations without rounding
Memory storeSaves a value for laterHolding an unrounded intermediate result
Fraction keyEnters and displays exact fractionsKeeping answers exact rather than decimal
Powers keyRaises to any powerCompound interest and index calculations
Root keysSquare root, cube root and general rootsSurds and fractional indices
Inverse trigonometryFinds an angle from a ratioUse when two sides are known and an angle is wanted
EXP or times ten to the xEnters standard form directlyAvoids typing long strings of zeros
Bracket keysControls the order of operationsAny fraction with more than one term above or below

Errors that produce impossible answers

Errors that produce impossible answers
Symptom Likely cause Fix
A negative length or a negative magnitudeA sign error, or squaring skippedRecheck the substitution
An angle above 90 in a right-angled triangleRatio inverted, or the wrong ratio chosenRelabel the triangle and reselect
A probability greater than 1Wrong denominator, or terms added that should be multipliedRecheck against the total number of outcomes
An efficiency above 100 per centInput and output divided the wrong way roundUseful output goes on top
A wildly large or small valueA missing bracket in a fractionBracket the whole numerator and denominator
Trigonometric value slightly offRounded value re-entered by handUse ANS or memory instead

How to use this sheet

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Frequently asked questions

How do I know if my calculator is in the wrong mode?

Test it with a value you know. The sine of 30 degrees is exactly 0.5, so if degree mode is set that is what appears. If you see minus 0.988 instead, the calculator is interpreting 30 as radians and the mode needs changing.

Why do I need brackets when typing a fraction?

Calculators follow the order of operations, so typing a fraction without brackets divides by the first term only. Bracketing the whole numerator and the whole denominator forces the calculator to evaluate each fully before dividing.

Should I retype an intermediate answer?

No. Use the ANS key or the memory to carry the exact value forward. Retyping a rounded intermediate value introduces error that can shift the third significant figure of the final answer and cost the accuracy mark.

What should I do if an answer looks impossible?

Check the units and the mode before checking the method. Negative lengths, probabilities above one and efficiencies above one hundred per cent are almost always caused by an inverted fraction, a missing bracket or the wrong angle mode.

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Written to the published Cambridge IGCSE syllabuses. Always check the formula list and data sheet issued with your own paper, since the material provided differs between subjects and syllabus versions. Last reviewed 2026-08-12.