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Either paper 1 mark
Work out \(496 + 576\)
Show answer
\(1072\)Write the numbers in columns, units under units, and add from the right.
Units: \(6 + 6 = 12\), so write 2 and carry 1 into the tens column.
Working through the tens and then the hundreds gives
\(496 + 576 = 1072\)
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Either paper 1 mark
Work out \(505 - 317\)
Show answer
\(188\)Set the subtraction out in columns.
In the units, \(5\) is smaller than \(7\), so exchange a ten: the units become \(15\) and the tens digit above drops by 1. The tens column needs an exchange from the hundreds in the same way.
\(505 - 317 = 188\)
Check by adding back: \(188 + 317 = 505\)
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Either paper 3 marks(a)
Anya buys a lunchbox costing £7.61 and 3 bottles of water costing £2.55 each.
Calculate the total cost.
(b)Anya pays with a £20 note. Work out how much change she should get.
Show answer
(a) \(\text{£}15.26\)
(b) \(\text{£}4.74\)The bottles of water: \(3 \times £2.55 = £7.65\)
Total: \(£7.61 + £7.65 = £15.26\)
\(£20 - £15.26 = £4.74\)
- (a) M1cost of the bottles of water \(£7.65\)
- (a) A1total cost \(£15.26\)
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Either paper 2 marks
Work out the number that goes in each box.
(a)\(\square + 756 = 900\)
(b)\(581 - \square = 385\)
Show answer
(a) \(144\)
(b) \(196\)Adding and subtracting undo each other, so take 756 off the total:
\(900 - 756 = 144\)
The number taken away is the difference between the two numbers shown:
\(581 - 385 = 196\)
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Either paper 2 marks(a)
Work out \(3796 + 1654\)
(b)State the value of \(5450 - 1654\)
Show answer
(a) \(5450\)
(b) \(3796\)Write the numbers in columns, units under units, and add from the right, carrying wherever a column passes 9.
\(3796 + 1654 = 5450\)
Adding and subtracting undo each other, so no new working is needed.
Part (a) showed that \(3796 + 1654 = 5450\). Taking 1654 back off 5450 returns the number you started with.
\(5450 - 1654 = 3796\)
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Either paper 2 marks
84 pupils in Year 7 and 47 pupils in Year 8 at Highfield School are going on a trip to a wildlife park.
The school books 3 coaches. Each coach has 55 seats.
(a)Work out the total number of pupils going on the trip.
(b)Is there a seat for every pupil?
Explain your answer.
Show answer
(a) \(131\)
(b) Yes — there are 165 seats for 131 pupils, which is enough.\(84 + 47 = 131\)
Work out how many seats there are altogether:
\(3 \times 55 = 165\)
There are 131 pupils and 165 seats, so the answer is yes.
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Either paper 2 marksAisha buys three things at a cafe.
The till receipt shows a total of £7.79, which is wrong.Item Price Sandwich £1.53 Orange juice £2.74 Bowl of soup £3.18 (a)Work out the correct total.
(b)Work out how much Aisha has been overcharged.
Show answer
(a) \(\text{£}7.45\)
(b) \(\text{£}0.34\)Line the amounts up by the decimal point and add:
\(£1.53 + £2.74 + £3.18 = £7.45\)
The overcharge is the difference between the receipt and the correct total:
\(£7.79 - £7.45 = £0.34\)
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Either paper 4 marks
26 passengers are on the number 14 bus when it leaves Leeds bus station.
At the first stop 6 passengers get on and 9 passengers get off.
At the second stop 13 passengers get on and 6 passengers get off.
At the third stop 4 passengers get on and 12 passengers get off.
(a)Work out the total number of passengers who got on the bus at the three stops.
(b)Calculate how many passengers are on the bus after the third stop.
Show answer
(a) \(23\)
(b) \(22\)\(6 + 13 + 4 = 23\)
Part (a) found that 23 passengers got on altogether.
Add everyone who got off: \(9 + 6 + 12 = 27\)
\(26 + 23 - 27 = 22\)
- (b) M1total who got off \(27\)
- (b) M1start plus total on minus total off
- (b) A1passengers after third stop \(22\)
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Either paper 3 marksHere is part of a bank statement. Complete the bank statement.
Date Description Credit (£) Debit (£) Balance (£) 5 October Opening balance 685.15 7 October Cash deposit 53.27 738.42 11 October Garage 107.51 (a) 13 October Gift 105.92 (b) 18 October Phone bill 116.86 (c) (a)The balance, in pounds, at (a)
(b)The balance, in pounds, at (b)
(c)The balance, in pounds, at (c)
Show answer
(a) \(\text{£}630.91\)
(b) \(\text{£}736.83\)
(c) \(\text{£}619.97\)The Garage row is a debit, so subtract it, starting from the balance in the row above.
\(738.42 - 107.51 = 630.91\)
The Gift row is a credit, so add it, starting from the balance in the row above, which is the answer to (a).
\(630.91 + 105.92 = 736.83\)
The Phone bill row is a debit, so subtract it, starting from the balance in the row above, which is the answer to (b).
\(736.83 - 116.86 = 619.97\)
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Either paper 3 marks
Reuben wants to buy a new laptop costing £350.
He has already saved £60 and is given £55 for his birthday. He then earns £25 a week for 3 weeks.
Calculate how much more money Reuben still needs.
Show answer
\(\text{£}160\)Money earned: \(3 \times £25 = £75\)
Money Reuben now has: \(£60 + £55 + £75 = £190\)
Money still needed: \(£350 - £190 = £160\)
- M1money earned \(75\)
- M1total money Reuben now has \(190\)
- A1money still needed \(160\)