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Change from a note, and working out which pack is genuinely better value.
Question 1 of 12
Pack A holds 3 apples for £0.58. Pack B holds 5 apples for £0.90. Which pack is better value?
Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £0.58 ÷ 3 = 19.33p each. Pack B: £0.90 ÷ 5 = 18p each. Pack B works out cheaper per apple, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Work out the price of one item from each pack. Comparing anything else is guesswork.
The answer is C. Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £0.58 ÷ 3 = 19.33p each. Pack B: £0.90 ÷ 5 = 18p each. Pack B works out cheaper per apple, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Work out the price of one item from each pack. Comparing anything else is guesswork.
Pack A holds 4 yoghurts for £1.80. Pack B holds 7 yoghurts for £3.01. Which pack is better value?
Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £1.80 ÷ 4 = 45p each. Pack B: £3.01 ÷ 7 = 43p each. Pack B works out cheaper per yoghurt, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Round sensibly and compare — you rarely need the exact pence to see which is cheaper.
The answer is B. Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £1.80 ÷ 4 = 45p each. Pack B: £3.01 ÷ 7 = 43p each. Pack B works out cheaper per yoghurt, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Round sensibly and compare — you rarely need the exact pence to see which is cheaper.
Pack A holds 5 yoghurts for £0.99. Pack B holds 8 yoghurts for £1.44. Which pack is better value?
Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £0.99 ÷ 5 = 19.8p each. Pack B: £1.44 ÷ 8 = 18p each. Pack B works out cheaper per yoghurt, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. The larger pack is usually better value, but papers set this question precisely when it is not.
The answer is C. Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £0.99 ÷ 5 = 19.8p each. Pack B: £1.44 ÷ 8 = 18p each. Pack B works out cheaper per yoghurt, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. The larger pack is usually better value, but papers set this question precisely when it is not.
Pack A holds 3 pencils for £0.77. Pack B holds 6 pencils for £1.38. Which pack is better value?
Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £0.77 ÷ 3 = 25.67p each. Pack B: £1.38 ÷ 6 = 23p each. Pack B works out cheaper per pencil, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Round sensibly and compare — you rarely need the exact pence to see which is cheaper.
The answer is C. Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £0.77 ÷ 3 = 25.67p each. Pack B: £1.38 ÷ 6 = 23p each. Pack B works out cheaper per pencil, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Round sensibly and compare — you rarely need the exact pence to see which is cheaper.
Martha pays with a £20 note for shopping costing £8.24. How much change should she get?
Change is what is left: £20 − £8.24 = £11.76. Counting up from £8.24 is how a shopkeeper would do it and it avoids borrowing across the decimal point: from £8.24 to £9 is 76p, and from there to £20 is £11. Together that is £11.76. Count up to the next whole pound first, then up to the note. It is quicker than subtracting and far less error-prone.
The answer is C. Change is what is left: £20 − £8.24 = £11.76. Counting up from £8.24 is how a shopkeeper would do it and it avoids borrowing across the decimal point: from £8.24 to £9 is 76p, and from there to £20 is £11. Together that is £11.76. Count up to the next whole pound first, then up to the note. It is quicker than subtracting and far less error-prone.
Freya pays with a £10 note for shopping costing £5.32. How much change should she get?
Change is what is left: £10 − £5.32 = £4.68. Counting up from £5.32 is how a shopkeeper would do it and it avoids borrowing across the decimal point: from £5.32 to £6 is 68p, and from there to £10 is £4. Together that is £4.68. Count up to the next whole pound first, then up to the note. It is quicker than subtracting and far less error-prone.
The answer is C. Change is what is left: £10 − £5.32 = £4.68. Counting up from £5.32 is how a shopkeeper would do it and it avoids borrowing across the decimal point: from £5.32 to £6 is 68p, and from there to £10 is £4. Together that is £4.68. Count up to the next whole pound first, then up to the note. It is quicker than subtracting and far less error-prone.
Aisha pays with a £20 note for shopping costing £15.27. How much change should she get?
Change is what is left: £20 − £15.27 = £4.73. Counting up from £15.27 is how a shopkeeper would do it and it avoids borrowing across the decimal point: from £15.27 to £16 is 73p, and from there to £20 is £4. Together that is £4.73. Count up to the next whole pound first, then up to the note. It is quicker than subtracting and far less error-prone.
The answer is D. Change is what is left: £20 − £15.27 = £4.73. Counting up from £15.27 is how a shopkeeper would do it and it avoids borrowing across the decimal point: from £15.27 to £16 is 73p, and from there to £20 is £4. Together that is £4.73. Count up to the next whole pound first, then up to the note. It is quicker than subtracting and far less error-prone.
Pack A holds 3 bread rolls for £1.16. Pack B holds 6 bread rolls for £2.22. Which pack is better value?
Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £1.16 ÷ 3 = 38.67p each. Pack B: £2.22 ÷ 6 = 37p each. Pack B works out cheaper per bread roll, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Work out the price of one item from each pack. Comparing anything else is guesswork.
The answer is D. Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £1.16 ÷ 3 = 38.67p each. Pack B: £2.22 ÷ 6 = 37p each. Pack B works out cheaper per bread roll, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Work out the price of one item from each pack. Comparing anything else is guesswork.
Oliver pays with a £20 note for shopping costing £14.64. How much change should she get?
Change is what is left: £20 − £14.64 = £5.36. Counting up from £14.64 is how a shopkeeper would do it and it avoids borrowing across the decimal point: from £14.64 to £15 is 36p, and from there to £20 is £5. Together that is £5.36. Count up to the next whole pound first, then up to the note. It is quicker than subtracting and far less error-prone.
The answer is D. Change is what is left: £20 − £14.64 = £5.36. Counting up from £14.64 is how a shopkeeper would do it and it avoids borrowing across the decimal point: from £14.64 to £15 is 36p, and from there to £20 is £5. Together that is £5.36. Count up to the next whole pound first, then up to the note. It is quicker than subtracting and far less error-prone.
Pack A holds 4 batteries for £2.49. Pack B holds 6 batteries for £3.54. Which pack is better value?
Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £2.49 ÷ 4 = 62.25p each. Pack B: £3.54 ÷ 6 = 59p each. Pack B works out cheaper per batterie, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Work out the price of one item from each pack. Comparing anything else is guesswork.
The answer is D. Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £2.49 ÷ 4 = 62.25p each. Pack B: £3.54 ÷ 6 = 59p each. Pack B works out cheaper per batterie, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Work out the price of one item from each pack. Comparing anything else is guesswork.
Pack A holds 4 pencils for £2.11. Pack B holds 6 pencils for £2.94. Which pack is better value?
Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £2.11 ÷ 4 = 52.75p each. Pack B: £2.94 ÷ 6 = 49p each. Pack B works out cheaper per pencil, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Round sensibly and compare — you rarely need the exact pence to see which is cheaper.
The answer is C. Better value means cheaper per item, so work out the cost of one from each pack. Pack A: £2.11 ÷ 4 = 52.75p each. Pack B: £2.94 ÷ 6 = 49p each. Pack B works out cheaper per pencil, so it is the better value. The bigger pack is not automatically the better buy, and the cheaper pack certainly is not. Round sensibly and compare — you rarely need the exact pence to see which is cheaper.
Callum pays with a £20 note for shopping costing £13.66. How much change should she get?
Change is what is left: £20 − £13.66 = £6.34. Counting up from £13.66 is how a shopkeeper would do it and it avoids borrowing across the decimal point: from £13.66 to £14 is 34p, and from there to £20 is £6. Together that is £6.34. Change must always be less than the note handed over. A quick sanity check.
The answer is C. Change is what is left: £20 − £13.66 = £6.34. Counting up from £13.66 is how a shopkeeper would do it and it avoids borrowing across the decimal point: from £13.66 to £14 is 34p, and from there to £20 is £6. Together that is £6.34. Change must always be less than the note handed over. A quick sanity check.
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