Questions: Powers, roots and standard form
Pick a question type. Each time you get new numbers. Free ones are marked free.
Powers and roots
- Squares, cubes and their rootsWork out, 1 mark, free
- Powers of 2, 3, 5 and 10Work out, 1 mark, free
- Squares of negative numbersWork out, 3 marks, free
- A square or cube number in a rangeWrite down, 1 mark, free
- Powers in the order of operationsWork out, 2 marks, free
- Powers and roots on a calculatorCalculate, 2 marks, free
- Estimate a square rootChoose, 1 mark, free
- Roots and powers togetherWork out, 2 marks, free
The laws of indices
- Multiplying powers of the same numberWrite, 1 mark, free
- Dividing powers of the same numberWrite, 1 mark, free
- A power of a powerWrite, 1 mark, free
- The zero indexWrite down, 1 mark, free
- Use the laws togetherWrite, 2 marks, free
- Multiply terms with indicesSimplify, 2 marks, free
- A term in brackets to a powerSimplify, 2 marks, free
- Divide terms with two lettersSimplify, 3 marks, free
- Which is equal?Choose, 1 mark, free
Negative and fractional indices
- A negative index as a fraction (H)Write, 1 mark, Plus, Higher tier
- A fractional index is a root (H)Work out, 1 mark, Plus, Higher tier
- An index m/n (H)Work out, 2 marks, Plus, Higher tier
- A negative fractional index (H)Work out, 2 marks, Plus, Higher tier
- A fraction to a negative or fractional power (H)Work out, 2 marks, Plus, Higher tier
- Find the index (H)Solve, 2 marks, Plus, Higher tier
- Solve with a common base (H)Solve, 3 marks, Plus, Higher tier
- Write as a power of x (H)Write, 1 mark, Plus, Higher tier
- Which is the same as a fractional power? (H)Choose, 1 mark, Plus, Higher tier
Standard form
- A large number in standard formWrite, 1 mark, Plus
- A small number in standard formWrite, 1 mark, Plus
- Standard form to an ordinary numberWrite, 1 mark, Plus
- Order numbers in standard formChoose, 1 mark, Plus
- Correct a number that is not in standard formWrite, 1 mark, Plus
- How many times bigger?Work out, 2 marks, Plus
- Which number is in standard form?Choose, 1 mark, Plus
Calculating with standard form
- Multiply in standard form, no calculatorWork out, 2 marks, Plus
- Divide in standard form, no calculatorWork out, 2 marks, Plus
- Add in standard formWork out, 2 marks, Plus
- Time for light to travelCalculate, 2 marks, Plus
- Share a total in standard formCalculate, 2 marks, Plus
- Small sizes in standard formCalculate, 2 marks, Plus
- Powers of numbers in standard formCalculate, 2 marks, Plus
- Data storage in standard formWork out, 3 marks, Plus
- Subtract in standard formWork out, 2 marks, Plus
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