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Year 4 Maths Number
Place and Value
Workbook
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Home Learning Year 4 Maths
Workbook Pack
Year 4 Programme of Study – Number and Place Value
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Statutory Requirements Worksheet
Page
Number
Notes
Count in multiples of 6, 7, 9,
25 and 1000
Counting in 1000s Worksheet
Counting in 1000s not from 0
Counting in 6,7 and 9
Worksheet
Counting in 25’s Worksheet
4
5
6
7
Find 1000 more or less than a
given number
Adding 1000
Subtracting 1000
8
9
Count backwards through 0 to
include negative numbers
Counting Backwards Through
0 Using Negative Numbers
Worksheet
10 - 12
Recognise the place value
of each digit in a four-digit
number (1000s, 100s, 10s, and
1s)
Place Value Worksheets 4
Digits
13
Order and compare numbers
beyond 1000
Place Value Number Sorting
Worksheet
Ordering and Comparing
Numbers Beyond 1000
14
15 - 17
Identify, represent and
estimate numbers using
different representations
Represent Numbers Using Base
10
Estimate Subtraction
Calculations Worksheet
Estimate Addition Calculations
worksheet
18
19
20
Page 3 of 34
Year 4 Programme of Study – Number and Place Value
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Statutory Requirements Worksheet
Page
Number
Notes
Estimating on different number
lines worksheet
Estimating numbers on a
1 – 10 000 Number Line
Worksheet
21
22
Round any number to the
nearest 10, 100 or 1000
How to Round a Number
worksheet
Nearest 10, 100, 1000 Word
Problems worksheet
Rounding to the Nearest 10
worksheets
Rounding to the Nearest 100’s
worksheet
Rounding to the Nearest 1000s
worksheet
23
24
25 - 26
27 - 28
29 - 30
Solve number and practical
problems that involve all of the
above and with increasingly
large positive numbers
Oh No, I’ve Forgotten
My Number! Place Value
Worksheet
31
Read Roman numerals to 100
(I to C) and know that over
time, the numeral system
changed to include the concept
of 0 and place value
Introduction to Roman
Numerals and first activities.
(Resource Submitted)
Roman numerals and numbers
to 100 matching worksheet
32 - 33
34
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Counting in 1000s
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Counting in 1000s Not From 0
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Counting in 6,7 and 9
182
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Counting in 25s Worksheet
Aim – I can count in 25s from any given number.
Can you complete these sequences by counting in 25s?
Look at these sequences which start from a number other than 0 but still go up in 25s. In each
line one of the numbers is wrong. Can you circle it? The first one is done for you.
0 25
1.
175 250
2.
550 575
3.
975
4.
725
5.
725
6.
55 70 105 130 155 180
7.
16 41 56 91 116 141
8.
115 140 165 190 212 240
9.
499 524 549 574 594 624
10.
879 904 939 954 979 1004
11.
1042 1076 1101 1126 1151 1176
12.
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Add 1000 to the following numbers
Challenge
Can you add 1001, 1010 or 1100 to some of the questions? What about 10 000?
1.
2398 + 1000 = 16. 11 756 + 1000 =
2.
4829 + 1000 = 17. 14 947 + 1000 =
3.
8023 + 1000 = 18. 25 902 + 1000 =
4.
3820 + 1000 = 19. 49 023 + 1000 =
5.
7822 + 1000 = 20. 100 456 + 1000 =
6.
3419 + 1000 = 21. 134 982 + 1000 =
7.
6729 + 1000 = 22. 249 305 + 1000 =
8.
5547 + 1000 = 23. 56 983 + 1000 =
9.
1009 + 1000 = 24. 701 034 + 1000 =
10.
345 + 1000 = 25. 38 382 + 1000 =
11.
8563 + 1000 = 26. 563 902 + 1000 =
12.
9017 + 1000 27. 79 826 + 1000 =
13.
6730 + 1000 = 28. 399 027 + 1000 =
14.
1193 + 1000 = 29. 50 231 + 1000 =
15.
4508 + 1000 = 30. 999 000 + 1000 =
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Subtract 1000 from the following numbers
1. 2338 - 1000 = 16. 11 902 - 1000 =
2. 3729 - 1000 = 17. 13 997 - 1000 =
3. 8923 - 1000 = 18. 35 902 - 1000 =
4. 3834 - 1000 = 19. 87 320 - 1000 =
5. 7892 - 1000 = 20. 100 906 - 1000 =
6. 3769 - 1000 = 21. 194 971 - 1000 =
7. 6509 - 1000 = 22. 401 305 - 1000 =
8. 1147 - 1000 = 23. 83 083 - 1000 =
9. 7409 - 1000 = 24. 601 934 - 1000 =
10. 9345 - 1000 = 25. 60 382 - 1000 =
11. 8721 - 1000 = 26. 672 902 - 1000 =
12. 6015 - 1000 = 27. 31 826 - 1000 =
13. 6820 - 1000 = 28. 500 408 - 1000 =
14. 1013 - 1000 = 29. 90 231 - 1000 =
15. 9508 - 1000 = 30. 1 000 000 - 1000 =
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Counting Backwards Through 0 Using Negative Numbers Worksheet
Aim – I can count backwards through 0 including negative numbers.
Counting backwards can be useful – especially if you want to make a rocket take off!
10, 9, 8, 7, 6, 5, 4, 3, 2, 1 BLAST OFF!
BUT what happens when we are counting backwards and we get to ‘0’?
We keep going using negative numbers.
-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
A. Use the number lines to help you count backwards through 0. Start on the number given and draw the right
number of jumps backwards until you have your answer.
1. From 5, count back 7.
2. From 8, count back 12.
3. From 7, count back 15.
4. From 2, count back 9.
5. From 12, count back 22.
Answer =
Answer =
Answer =
Answer =
Answer =
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B. These counting back tasks can be written as sums e.g. 7 – 8. 7 is the number you start on and 8 is the
number of jumps you count backwards. 7 – 8 = -1
C. Being able to count back through 0 can help you understand temperature changes. Imagine a thermometer
is a number line on its side. Use these thermometers for drawing jumps on to help you answer the questions
on the next page.
Use the number line below to jump with your finger to count backwards and work out the answers
to the sums.
-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
1. 6 - 12 = 2. 5 - 10 = 3. 7 - 15 = 4. 16 - 17 =
5. 11 - 20 = 6. 1 - 7 = 7. 6 - 11 = 8. 19 - 30 =
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When the temperature drops, you can count backwards on your number line/thermometer and calculate the new
temperature.
1. The temperature is 7°C then it falls by 9°C. What is the new temperature?
2. At six o’clock in the evening the temperature is 11°C. It falls by 14°C at night. What is the new temperature?
3. During the day the temperature is 1°C, by the evening it has fallen by 5°C. What is the new temperature?
4. The temperature is 3°C then it falls by 12°C the next day. What is the new temperature?
5. At nine o’clock in the morning the temperature is 5°C. It falls by 9°C at night. What is the new temperature?
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Place Value Worksheet
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Place Value Number Sorting Worksheet
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Comparing and Ordering Numbers Beyond 1000
I can compare and order numbers beyond 1000.
Comparing numbers to decide which are bigger and which are smaller requires a close look at the value of each
digit. The best way to compare the size of numbers directly is to use a place value chart to inspect them. Consider
the following set of numbers – 999, 1001, 1099, 9001, 10 001
It could be possible to get mixed up when ordering these but with a place value chart there is no confusion – let’s
put the numbers into this place value chart:
Ten
Thousands
Thousands Hundreds Tens Ones
9 9 9
1 0 0 1
1 0 9 9
9 0 0 1
1 0 0 0 1
As a digit is placed further to the left on the place value chart, its value increases. So when comparing how big
numbers are, it is always worth starting at the left (largest) and moving to the right (smallest).
So when comparing, if a number has digits further to the left of the grid than the others, (10 001) then it is
obviously the largest. However, if more than one number has a digit in the same column, then check to see which
has the greatest value (this will be the bigger number).
If both numbers have same value digit in the same column, then you keep looking to the right until you find a
difference (1099 is bigger than 1001). Using this system will help to accurately order numbers from largest to
smallest.
999
1001
1099
9001
10 001
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9001 999 4526 10 001 1009
2632 6366 6332 999 1001
A. Write each of these numbers into the place value charts and then order them from highest to lowest. Cross them
out when you have written them in to make your task easier!
B. Can you rewrite these numbers in order from highest to lowest? Sketch a place value chart on a whiteboard or
on paper to help you if you need it.
Ten Thousands Thousands Hundreds Tens Ones
Order from
high to low
Order from
high to low
Ten Thousands Thousands Hundreds Tens Ones
856 5001 4999 949 4959
35 375 7357 735 5735 5573
1.
1.
2.
2.
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2828 8228 2882 20 820 8802
6400 46 001 64 001 4600 6040
3.
4.
C. Compare the size of the following numbers and insert one of these symbols < > to make the number statement
read correctly. Sketching a mini place value chart may help you with these. The first one has been done for you.
1. 817 > 781 2. 1026 6021
3. 6205 6208 4. 1099 9011
5. 8574 7548 6. 3991 3919
7. 4274 7442 8. 1056 10 065
9. 7891 7198 10. 10 001 10 010
11. 9999 10 000 12. 80 102 29 999
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3243 8101
1045 7617
7119 3001
5107 2100
4691 5015
2381 9827
6725 4216
Representing Numbers Using Base 10
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Estimate Addition Calculations worksheet
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Estimate Subtraction Calculations worksheet
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Estimating on Different Number Lines
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Estimating numbers on a 0-10000 Number Line
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How to Round a Number Worksheet
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Nearest 10, 100, 1000 Word Problems
7. A swimming pool gets about 120 swimmers between Monday and Friday and about 350
swimmers over the weekend. To the nearest 100, how many swimmers does the pool get over
the whole week?
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Rounding to the Nearest 10 Worksheet 1
Write the tens either side of the given number and mark it approximately on the number line. Then circle the 10
to which the given number is closer.
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Rounding to the Nearest 10 Worksheet 2
Round the following numbers to the nearest 10.
44 95 1983 10 783
78 123 5623 19 878
16 176 9012 28 003
3 299 7995 37 997
89 364 6003 191 012
32 782 5786 398 908
Round the following numbers to the nearest 10 km.
Places Distance to the nearest 10km
Sheffield to London 257km
Liverpool to Birmingham 141km
Manchester to Bristol 113km
Norwich to Plymouth 506km
Leeds to Swansea 339km
Blackpool to York 144km
Newcastle to Brighton 528km
Oxford to Exeter 221km
Portsmouth to Carlisle 525km
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Rounding to the Nearest 100 Worksheet 1
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Rounding to the Nearest 100 Worksheet 2
Round the following numbers to the nearest 100.
341 83 3009 67 430
789 560 4762 109 052
145 932 8420 279 973
35 895 9562 300 013
676 1804 12 745 413 413
423 2398 34 562 399 968
Round the following numbers to the nearest 100km.
Places Distance to the nearest 100km
Budapest to Zagreb 345km
Milan to Barcelona 824km
Bucharest to Sarajevo 796km
London to Berlin 1050km
Vienna to Amsterdam 1069km
Warsaw to Geneva 1427km
Munich to Madrid 1759km
Istanbul to The Haugue 2593km
Paris to Moscow 2762km
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Rounding to the Nearest 1000 Worksheet 1
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The Nearest 1000
Round the following numbers to the nearest 1000.
1804 12 532 190 870
2398 24 665 207 207
7804 31 500 345 828
2398 45 838 199 666
2502 66 112 451 727
2398 71 008 999 700
Round the following numbers to the nearest 1000km.
Places Distance to the nearest 1000km
London to New York 5540km
Rio De Janeiro to Madrid 8140km
Cape Town to Rome 8450km
Perth to Sydney 3300km
Beijing to Washington 11 200km
Boston to Delhi 11 500km
Buenos Aires to Berlin 11 900km
Christchurch to Paris 19 100km
Earth to the Moon 384 403km
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Oh No! I have Forgotten My Number Worksheet
3
Page 32 of 34
Introduction to Roman Numerals and First Activities
I can convert between numbers and Roman numerals.
Numbers other than those above are made by creating simple sums e.g.
Work through these further examples to help you understand more fully;
There are 7 letters used for Roman numerals:
I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1000
Number Sum Roman Numeral
12 10 + 2 XII
7 5 + 2 VII
Number Sum Roman Numeral
8 5 + 3 VIII
19 10 + 9 XIX
43 40 + 3 XLIII
90 100 - 10 XC
When adding numerals to make a number, the extra digit is placed to the right of the largest number e.g.
13 10 + 3 XIII
To stop numerals getting too big, only three of the same value are allowed in a row. To help with this we can
show a number by 'subtracting' a numeral e.g.
9 1 less than 10 IX
The letter being removed goes before the larger number. There is only ever one letter subtracted.
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1. Can you write the numbers from 1-10 to help you with the questions to follow?
2. Try these...
3. Now try these...
4. A little bit harder...
5. Final challenges...
a. 15 = b. 21 = c. 26 = d. 33 =
e. 35 = f. 44 = g. 49 = h. 50 =
a. 70 = b. 80 = c. 83 =
d. 89 = e. 90 = f. 100 =
Number Sum Roman Numeral
a. 26
b. 17
c. 29
d. 30
• Can you convert today’s date into Roman numerals? ____ /____ /___
• Can you convert the year (e.g. 2015) into Roman numerals?
1 = 2 = 3 = 4 = 5 =
6 = 7 = 8 = 9 = 10 =
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Roman Numerals and Numbers To 100 Matching Worksheet
