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Either paper 2 marks(a)
Write down the value of the digit 3 in the number \(1322\).
(b)Write \(1322\) in words.
Show answer
(a) \(300\)
(b) one thousand, three hundred and twenty-twoThe 3 is in the hundreds column, so it is worth 3 lots of 100.
\(3 \times 100 = 300\)
The columns hold 1 thousands, 3 hundreds, 2 tens and 2 ones, so the number reads
one thousand, three hundred and twenty-two
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Either paper 2 marks(a)
Write the number seven thousand and forty-five in figures.
(b)State the number that is 100 more than your answer to part (a).
Show answer
(a) \(7045\)
(b) \(7145\)There are 7 thousands, no hundreds, 4 tens and 5 ones. A zero is needed to hold the hundreds column.
\(7045\)
Adding 100 changes only the hundreds column.
\(7045 + 100 = 7145\)
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Either paper 3 marks
13,283 people took part in a charity fun run.
(a)Round 13,283 to the nearest 10.
(b)Round 13,283 to the nearest 100.
(c)Round 13,283 to the nearest 1000.
Show answer
(a) \(13,280\)
(b) \(13,300\)
(c) \(13,000\)The units digit is 3, so round down.
13,283 to the nearest 10 is 13,280.
The tens digit is 8, so round up.
13,283 to the nearest 100 is 13,300.
The hundreds digit is 2, so round down.
13,283 to the nearest 1000 is 13,000.
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Either paper 2 marks(a)
State \(9125\) as the sum of the values of its digits.
(b)State the number that goes in the box.
\(5867 = 5000 + \square + 60 + 7\)
Show answer
(a) \(9000 + 100 + 20 + 5\)
(b) \(800\)The thousands digit is worth 9000, the hundreds digit 100, the tens digit 20 and the ones digit 5. Each column is worth ten times the one to its right.
\(9125 = 9000 + 100 + 20 + 5\)
The box is in the hundreds place, and the hundreds digit of 5867 is 8.
\(8 \times 100 = 800\)
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Either paper 2 marks
Here are four digits.
\(0,\ 7,\ 3,\ 5\)
Each digit is used once to make a four-digit number.
(a)State the largest number that can be made.
(b)State the smallest number that can be made.
Show answer
(a) \(7530\)
(b) \(3057\)The largest digit goes in the thousands column, then the next largest in the hundreds, and so on. Putting 7 first gives
\(7530\)
A zero cannot go in the thousands column, so the 0 moves into the hundreds column instead.
Putting 3 first gives
\(3057\)
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Either paper 2 marks
Here is a four-digit number.
\(7134\)
The hundreds digit and the tens digit are swapped round.
(a)Write down the new number.
(b)Calculate the increase in the value of the number.
Show answer
(a) \(7314\)
(b) \(180\)The 1 and the 3 change places, and the other two digits stay where they are.
\(7314\)
\(7314 - 7134 = 180\)
Swapping a hundreds digit with a tens digit always changes the number by 90 times the difference between the two digits. Here that difference is 2, so the increase is \(90 \times 2 = 180\).
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Either paper 3 marks(a)
Calculate how many tens there are in 7,180.
(b)Calculate how many hundreds there are in 4,300.
(c)Calculate how many complete hundreds there are in 5,032.
Show answer
(a) \(718\)
(b) \(43\)
(c) \(50\)Every ten is worth 10, so the number of tens is the number divided by 10.
\(7180 \div 10 = 718\)
Every hundred is worth 100, so divide by 100.
\(4300 \div 100 = 43\)
\(5032 \div 100\) is 50 with 32 left over, and 32 is not a whole hundred.
So there are 50 complete hundreds.
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Either paper 1 mark
Here is a number line.
Write down the number at A.
Show answer
\(6.4\)From \(6\) to \(8\) is 2, split into 5 equal divisions.
One division is \(2 \div 5 = 0.4\).
A is 1 division above \(6\), so A is \(6 + 1 \times 0.4 = 6.4\).
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Either paper 1 mark
Circle the correct statement.
\(2.1 < 2.80\)
\(2.1 = 2.80\)
\(2.1 > 2.80\)
Show answer
\(2.1 < 2.80\)Write both numbers with two decimal places so the columns line up:
\(2.10\) and \(2.80\)
Count in hundredths:
\(210\) hundredths \(<\) \(280\) hundredths
Comparing the first number with the second gives \(<\), so that is the symbol to circle.
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Either paper 2 marks
Write these numbers in order, starting with the smallest.
\(0.288,\ 0.258,\ 0.203,\ 0.358\)
Show answer
\(0.203,\ 0.258,\ 0.288,\ 0.358\)Give every number three decimal places first, so the columns line up:
\(0.288,\ 0.258,\ 0.203,\ 0.358\)
Now compare the tenths, then the hundredths, then the thousandths:
\(0.203,\ 0.258,\ 0.288,\ 0.358\)
- M1numbers compared using a common number of decimal places, or at least three in the correct order
- A1correct order \(0.203,\ 0.258,\ 0.288,\ 0.358\)