Questions: Non-calculator methods
New numbers every time.
Written multiplication and division
- Long multiplication in contextWork out, 3 marks, Plus
- Short division with moneyWork out, 2 marks, Plus
- Long division by a two-digit numberWork out, 3 marks, Plus
- Multiply decimals by place valueWork out, 2 marks, Plus
- Divide by a decimalWork out, 2 marks, Plus
- Rewrite a division by a decimalChoose, 1 mark, Plus
- Division with a remainder in contextWork out, 2 marks, Plus
- Total cost and changeWork out, 3 marks, Plus
Fractions and percentages by hand
- A fraction of an amountWork out, 2 marks, Plus
- A percentage built from 10%, 5% and 1%Work out, 2 marks, Plus
- Percentages such as 17.5% by halvingWork out, 3 marks, Plus
- A fraction as a decimalWrite, 2 marks, Plus
- A decimal as a fraction in its simplest formWrite, 2 marks, Plus
- Compare fractions, decimals and percentagesChoose, 1 mark, Plus
- Increase or decrease by a percentageWork out, 3 marks, Plus
- Which is greater: a percentage or a fraction of an amount?Work out, 5 marks, Plus
Estimating and checking
- Round to 1 significant figureWrite, 3 marks, Plus
- Estimate a calculation by rounding to 1 s.f.Estimate, 3 marks, Plus
- Estimate, then say whether it is too big or too smallEstimate, 3 marks, Plus
- Use a given multiplication factWrite down, 3 marks, Plus
- Use a given fact to divideWrite down, 3 marks, Plus
- Check an answer with an estimateEstimate, 3 marks, Plus
- Estimate with a square rootEstimate, 3 marks, Plus
- Use an estimate to decide if there is enough moneyEstimate, 3 marks, Plus
Exact answers
- A semicircle in terms of πWork out, 4 marks, Plus
- A shaded area in terms of πWork out, 3 marks, Plus
- Multiply two surds and simplifySimplify, 2 marks, Plus, Higher tier
- Add or subtract surdsSimplify, 3 marks, Plus, Higher tier
- Multiply in standard form by handWork out, 2 marks, Plus
- Divide in standard form by handWork out, 2 marks, Plus
- Powers and roots of small numbersWork out, 3 marks, Plus
- Fractional and negative indicesWork out, 2 marks, Plus, Higher tier
- Which answer is exact?Choose, 1 mark, Plus
Non-calculator problem solving
- Best buy and savingWork out, 5 marks, Plus
- A shopping bill with a 3 for 2 offerWork out, 4 marks, Plus
- Plan a day with sessions and breaksWork out, 3 marks, Plus
- Share in a ratio, then spend a fractionWork out, 4 marks, Plus
- Scale a recipe and find the most peopleWork out, 4 marks, Plus
- Paint for a wall with a doorWork out, 4 marks, Plus
- Turf for an L-shaped gardenWork out, 6 marks, Plus
- Pay with overtime at time and a halfWork out, 5 marks, Plus
- Fractions of a remainderWork out, 3 marks, Plus
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