Place Value, Ordering and Rounding - Worksheets, Questions and Revision

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KS3 · Number

KS3.M-N4 Place Value, Ordering and Rounding

AQA KS3.M-N4 · Calculators not allowed · about 50 minutes
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write each number in words.
(a)324(1)
(b)7 405 (write with spaces as thousands separator shown)(1)
(c)0.3(1)
(d)12.07(1)
2
Write these numbers in order, starting with the smallest.
(a)0.45, 45/100, 0.5, 0.405(2)
3
What is the value of the digit 5 in each number?
(a)In 5 638(1)
(b)In 482.5(1)
(c)In 0.056(1)
4
Round each number to the nearest whole number.
(a)6.3(1)
(b)11.6(1)
(c)0.49(1)
5
Round each number to one decimal place.
(a)3.46(1)
(b)12.01(1)
(c)0.999(1)
(d)4.24(1)
6
Round 7 849 to the nearest 100.
(a)Round 7 849 to the nearest 100.(2)
7
Write these numbers in order, largest first.
(a)0.7, 0.67, 2/3, 0.701(2)
8
Round each number to 2 significant figures.
(a)375(1)
(b)0.0489(1)
(c)8 634(1)
9
Give each number to 3 significant figures.
(a)12.346(1)
(b)0.00456(1)
(c)9 998(1)
10
A classroom has 27 pupils. The teacher records the heights to the nearest centimetre: 142, 148, 143, 141, 149, 146, 144, 147, 145, 143, 142, 148, 144, 146, 145, 143, 142, 147, 146, 144, 143, 142, 145, 148, 144, 146, 143. Work out the mode of the list.
(a)Find the mode of the heights.(2)
11
Write each number in standard form if needed, or say 'not required' for a simple whole number.
(a)5 200(1)
(b)34(1)
12
A recipe uses 0.375 litres of milk. Round this amount to 2 decimal places and to the nearest tenth of a litre.
(a)Round 0.375 to 2 decimal places.(2)
(b)Round 0.375 to the nearest tenth.(1)
13
Which digit is in the tens place in the number 6 052?
(a)State the digit in the tens place.(2)
14
Order these numbers from smallest to largest. Give answers as decimals.
(a)3 1/2, 3.49, 3.505(2)
15
A baker uses 2.75 kg of flour each day. Estimate how much flour is used in 7 days by rounding 2.75 to 1 decimal place first.
(a)Round 2.75 to 1 decimal place, then multiply by 7 to estimate total.(3)
16
Classify each statement as true or false. Give a short reason for any false statement.
(a)0.300 rounded to 2 significant figures is 0.30.(2)
(b)Rounding 4.95 to 1 decimal place gives 5.0.(2)
17
A measurement is 0.0702 m. Give this measurement to 2 significant figures and explain why zeros are counted or not counted.
(a)Give 0.0702 to 2 significant figures and explain which zeros count.(3)
18
Final problem: A shop advertises a jug holding 1.25 litres. A customer pours out 0.378 litres. How much remains in the jug? Give your answer to 3 decimal places.
(a)Work out how much remains and round to 3 decimal places.(2)
Mark scheme · KS3.M-N4 Place Value, Ordering and Rounding

Question 1

Question 2

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Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18