Level 1: parentheses, signs and order of operations
1. 7 + 3 × 4
Answer: 19. Multiplication happens before addition.
2. (7 + 3) × 4
Answer: 40. Parentheses change the order.
3. (−5)²
Answer: 25. Keep the negative base in parentheses.
4. 18 ÷ (2 + 1)
Answer: 6.
Level 2: powers, roots and reciprocals
5. 14²
Answer: 196.
6. √196
Answer: 14.
7. 2^10
Answer: 1024.
8. 125^(1/3)
Answer: 5. This is a cube root entered as a fractional exponent.
9. 1/16 using the reciprocal key
Answer: 0.0625.
Level 3: fractions and scientific notation
10. 2/3 + 1/6
Answer: 5/6 ≈ 0.833333...
11. Convert 3/8 to decimal
Answer: 0.375.
12. Enter 4.2 × 10^5 with EXP/EE
Answer: 420,000.
13. Enter 7.5 × 10^-4
Answer: 0.00075.
Level 4: trigonometry
Set the calculator to DEG mode for exercises 14-17.
14. sin(30°)
Answer: 0.5.
15. cos(60°)
Answer: 0.5.
16. tan(45°)
Answer: 1.
17. tan^-1(8/6)
Answer: about 53.1301°.
18. Switch to RAD mode: sin(π/6)
Answer: 0.5.
Level 5: logs and exponentials
19. log(1000)
Answer: 3.
20. ln(e)
Answer: 1.
21. 10^4
Answer: 10,000.
22. e^0.5
Answer: about 1.64872.
23. log2(32) using change of base
Answer: log(32)/log(2)=5.
Level 6: mixed student problems
24. Geometry: hypotenuse 20, angle 35°. Find the opposite side.
Answer: 20×sin(35°) ≈ 11.4715.
25. Physics: KE = 1/2 mv² for m=3 and v=8.
Answer: 0.5×3×8² = 96.
26. Algebra: (5² + √81) ÷ 2
Answer: (25+9)/2 = 17.
27. Scientific notation: (3×10^6)(2×10^-3)
Answer: 6×10³ = 6000.
28. Use Ans: calculate 15×4, then divide the answer by 6.
Answer: 10. First result is 60; Ans÷6=10.
Level 7: memory and workflow
29. Clear memory, add 25 with M+, add 17 with M+, then recall.
Answer: 42.
30. Start with memory 100, subtract 35 with M−, then recall.
Answer: 65.
How to use these exercises effectively
- Write an estimate before pressing any key.
- Name the key family you expect to use.
- Enter the expression and inspect the display.
- Open the answer only after you commit to a result.
- If wrong, decide whether the issue was mathematics, mode, key choice or data entry.
- Repeat the same type with different numbers until the process feels automatic.
For a quick reference while practicing, open or print the scientific calculator keys cheat sheet.
Frequently asked questions
How do I practice a scientific calculator effectively?
Practice one key family at a time, estimate first, check your mode and review why any wrong answer occurred before moving on.
Should I memorize calculator button sequences?
Memorize the mathematical function and a small number of common workflows. Exact button sequences vary by model, so understanding the function is more transferable.
What should I practice before trigonometry?
Be comfortable with parentheses, powers, roots, fractions and the DEG/RAD setting first.
Can I practice these exercises on OfficeCalculator.Net?
Yes. The homepage Scientific mode supports trigonometry, inverse trig, roots, powers, logs, constants, factorial and angle modes. Some physical-calculator features such as named variables may differ.
Open the main calculator, choose Scientific, and try the examples with your own values.