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Calculator Use — Advanced
Select the skills to practice, and then click Go!
Foundational skills
Recognise the EXP button for standard form
\[ 3.2 \times 10^5 \to \text{EXP} \]
Identify that the EXP (or ×10ˣ) button is used for standard form entry.
Check calculator mode for trigonometry
\[ \text{D = Degrees, R = Radians} \]
Recognise that calculator mode (degrees vs radians) affects trigonometry answers.
Standard form
Enter a number in standard form
\[ 4.5 \times 10^6 = ? \]
Enter a number in standard form using the EXP or ×10ˣ button.
Enter a small number in standard form
\[ 2.5 \times 10^{-4} = ? \]
Enter a small number in standard form (negative power).
Multiply numbers in standard form
\[ (3 \times 10^4) \times (2 \times 10^3) \]
Multiply two numbers in standard form using the calculator.
Divide numbers in standard form
\[ (8 \times 10^8) \div (4 \times 10^3) \]
Divide two numbers in standard form using the calculator.
Calculate with mixed standard form and ordinary
\[ (3 \times 10^4) + 5000 \]
Calculate with a mixture of standard form and ordinary numbers.
Trigonometry
Calculate sine of an angle
\[ \sin(35) = ? \]
Use the sin button to find the sine of an angle in degrees.
Calculate cosine of an angle
\[ \cos(55) = ? \]
Use the cos button to find the cosine of an angle in degrees.
Calculate tangent of an angle
\[ \tan(40) = ? \]
Use the tan button to find the tangent of an angle in degrees.
Calculate inverse sine
\[ \sin^{-1}(0.6) = ? \]
Use the sin⁻¹ function to find an angle from its sine value.
Calculate inverse cosine
\[ \cos^{-1}(0.45) = ? \]
Use the cos⁻¹ function to find an angle from its cosine value.
Calculate inverse tangent
\[ \tan^{-1}(1.5) = ? \]
Use the tan⁻¹ function to find an angle from its tangent value.
Calculate using exact trig values
\[ \sin(30) \times \cos(60) \]
Calculate with standard angles where calculator shows exact values.
Formula entry
Calculate area of a circle
\[ \pi \times 7^2 = ? \]
Enter the formula πr² correctly to find the area of a circle.
Calculate circumference of a circle
\[ 2 \times \pi \times 8 = ? \]
Enter the formula πd or 2πr correctly for circumference.
Calculate hypotenuse using Pythagoras
\[ \sqrt{5^2 + 12^2} = ? \]
Enter √(a²+b²) correctly to find the hypotenuse.
Calculate shorter side using Pythagoras
\[ \sqrt{13^2 – 5^2} = ? \]
Enter √(c²−a²) correctly to find a shorter side.
Calculate volume of a sphere
\[ \frac{4}{3} \times \pi \times 5^3 = ? \]
Enter the formula ⁴⁄₃πr³ correctly for sphere volume.
Calculate volume of a cylinder
\[ \pi \times 4^2 \times 10 = ? \]
Enter the formula πr²h correctly for cylinder volume.
Calculate volume of a cone
\[ \frac{1}{3} \times \pi \times 6^2 \times 9 = ? \]
Enter the formula ⅓πr²h correctly for cone volume.
Calculate using speed formula
\[ 240 \div 4 = ? \]
Enter a speed/distance/time calculation correctly.
Calculate using the quadratic formula
\[ \frac{5 \pm \sqrt{1}}{2} = ? \]
Enter the quadratic formula correctly to find solutions to a quadratic equation.
Special cases
Calculate a nested expression
\[ \frac{12}{\sqrt{16}+2} = ? \]
Enter a complex expression with multiple nested operations.
Calculate with π in expressions
\[ \frac{\pi}{4} + \frac{\pi}{6} = ? \]
Enter calculations involving π in fractions or expressions.
Interpret recurring decimal display
\[ 0.333… = ? \]
Recognise a rounded recurring decimal display as a fraction.
Use memory functions
\[ \text{M+, MR, STO, RCL} \]
Use memory store and recall for multi-step calculations.
Calculate with the ANS function
\[ 3^2+4^2 \to \sqrt{\text{ANS}} \]
Use the ANS button for a calculation using the previous answer.
Timer (Optional)
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