Term pack
Year 3 Maths
Name: ________________________
Skills in this pack
- Numbers to 999
- Number patterns
- Adding 3-digit numbers
- Subtracting 3-digit numbers
- Equivalent fractions
- Measuring length
- How heavy, and how much it holds
- Money
- Money and change
- Telling the time
- The calendar
- Reading a picture graph
- Reading bar charts
- Bar graphs with scales
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Year 3 Maths · 1 of 14
Numbers to 999
Read, write, compare and order numbers up to 999, and say what each digit is worth.
Before you start
This line runs from 0 to 1000. Move along it and watch the hundreds grow.
Every step along this line is one whole hundred.
1.Tap where 250 sits.
Mark the line with an X.
2.What is the hundreds digit in 528?
3.One weight on each side. Which way will the scale tip when the clamp is taken away?
Which way will it tip when the clamp is removed? Circle one.
Left / Stays level / Right
4.Which number is the largest?
- a) 410
- b) 399
- c) 401
- d) 409
5.Put these numbers in order, smallest first.
- 208
- 802
- 820
- 280
6.Match each number to how many hundreds it has.
- 254
- 381
- 907
- 145
- 9
- 3
- 1
- 2
7.What is the tens digit in 472?
8.What is 700 + 40 + 3?
Numbers to 999 · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 2 of 14
Number patterns
Find the rule in a number pattern and carry the pattern on.
1.Match each pattern to the number that comes next.
- 6, 12, 18
- 10, 20, 30
- 7, 14, 21
- 9, 18, 27
- 24
- 36
- 28
- 40
2.The pattern goes 50, 45, 40, 35. What comes next?
- a) 25
- b) 32
- c) 30
- d) 34
3.The pattern goes 2, 4, 8, 16. What comes next?
4.The pattern goes 5, 10, 15, 20. What comes next?
5.The pattern goes 100, 90, 80, 70. What comes next?
6.The pattern goes 6, 12, 18, 24. What comes next?
7.The pattern goes 1, 3, 5, 7. What is the rule?
- a) Add 3
- b) Double it
- c) Add 2
- d) Take away 2
8.The pattern goes 20, 30, 40. Tap where the next number sits.
Mark the line with an X.
Number patterns · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 3 of 14
Adding 3-digit numbers
Add two numbers up to 999, carrying a ten or a hundred where you need to.
1.156 + 127 = ?
2.245 + 137 = ?
- a) 392
- b) 472
- c) 372
- d) 382
3.Put these sums in order, smallest answer first.
- 300 + 25
- 150 + 60
- 101 + 102
- 400 + 90
4.Tap where 320 + 40 lands.
Mark the line with an X.
5.348 + 256 = ?
- a) 594
- b) 604
- c) 704
- d) 614
6.199 + 199 = ?
- a) 298
- b) 398
- c) 388
- d) 400
7.234 + 145 = ?
8.Sort each sum by whether a column has to be carried.
Groups: No carrying · Carrying needed
- 245 + 137
- 234 + 145
- 156 + 127
- 321 + 456
Adding 3-digit numbers · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 4 of 14
Subtracting 3-digit numbers
Take one number up to 999 away from another, borrowing a ten or a hundred where you need to.
1.What is 1000 - 1?
2.Sort each subtraction by whether the ones column has to borrow a ten.
Groups: No borrowing · Borrowing needed
- 365 - 140
- 641 - 129
- 586 - 243
- 472 - 128
3.586 - 243 = ?
4.Which subtraction gives 200?
- a) 450 - 250
- b) 350 - 250
- c) 400 - 250
- d) 500 - 250
5.Put these subtractions in order, smallest answer first.
- 600 - 250
- 300 - 250
- 400 - 300
- 500 - 350
6.Match each subtraction to its answer.
- 300 - 100
- 450 - 120
- 625 - 25
- 810 - 400
- 600
- 200
- 410
- 330
7.Tap where 700 - 350 lands.
Mark the line with an X.
8.Tap where 480 - 30 lands.
Mark the line with an X.
Subtracting 3-digit numbers · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 5 of 14
Equivalent fractions
Recognise fractions that are worth the same amount.
Before you start
Shade some of the bar, then cut it into more pieces. What happens to the shaded part?
Cutting the bar into more pieces never changes how much is shaded — only what you call it.
1.Which fraction is the same as 5/10?
- a) 1/5
- b) 2/5
- c) 5/5
- d) 1/2
2.Fill in the missing number: 3/4 = 15/?
3.Which fraction is the same as 1/3?
- a) 2/5
- b) 1/6
- c) 3/4
- d) 2/6
4.Cut the bar into equal parts and shade 2/3 of it.
Divide the bar into equal parts and shade it to show the fraction.
5.Sort each fraction by whether it is worth the same as 2/3 or not.
Groups: The same as 2/3 · Not the same as 2/3
- 4/6
- 5/8
- 2/5
- 10/15
- 3/5
- 8/12
6.Write 4/8 in its simplest form.
7.Each mark on this line is one twelfth. Which mark is 2/3 of the whole?
Mark the line with an X.
8.The top bar shows 3/4. Shade the bottom bar so that it shows the same amount.
Shade the second bar to show the same amount as the first.
Equivalent fractions · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 6 of 14
Measuring length
Measure things with clips and with a ruler, and compare the lengths.
1.This ruler is marked in cm. Tap 7.
Mark the line with an X.
2.A clip is 2 cm long. Match each length to how many clips fit along it.
- 4 cm
- 8 cm
- 12 cm
- 20 cm
- 6
- 2
- 4
- 10
3.Two ropes are 15 cm and 25 cm long. How long are they together?
4.Put these in order, shortest first.
- A door
- A bus
- A pencil
- An ant
5.A book is 20 cm long. How long are 2 books end to end?
6.A step is 4 clips long. How many clips are 3 steps?
7.Tap the mark at 15 cm.
Mark the line with an X.
8.Which of these is the longest?
- a) 25 cm
- b) 15 cm
- c) 5 cm
- d) 50 cm
Measuring length · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 7 of 14
How heavy, and how much it holds
Compare how heavy things are, and work out how much a container holds.
Before you start
Two parcels sit on one side of this balance and one on the other, with spare weights below. Try to bring the beam level.
More than one arrangement levels it, and the number of parcels in each pan is never what settles it — only the totals are.
1.Match each parcel to what it weighs after 2 kg more is added.
- 3 kg
- 6 kg
- 10 kg
- 1 kg
- 3
- 5
- 12
- 8
2.Which of these is the heaviest?
- a) A leaf
- b) A pin
- c) A feather
- d) A brick
3.Two tins weigh 5 kg each. What do they weigh together?
4.One jug holds 2 l. How much do 5 jugs hold?
5.A melon weighs 4 kg and an apple weighs 1. How much heavier is the melon?
6.A bottle holds 2 l and you pour out 1. How much is left?
7.Which of these holds the most?
- a) A cup
- b) A bucket
- c) A glass
- d) A spoon
8.This scale is marked in kg. Tap 6.
Mark the line with an X.
How heavy, and how much it holds · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 8 of 14
Money
Add up what things cost and work out the change.
1.Put these amounts in order, smallest first.
- £60
- £25
- £5
- £12
- £40
2.Which of these is worth the most?
- a) £50
- b) £10
- c) £5
- d) £20
3.Two toys cost £15 each. What do they cost together? Give just the number.
4.You buy 3 pencils at £6 each. What do they cost? Give just the number.
5.This line shows money in £. Tap 40.
Mark the line with an X.
6.Match each price to the change you get from £50.
- £20
- £35
- £10
- £45
- 5
- 30
- 40
- 15
7.A sweet costs £5. What do 4 sweets cost? Give just the number.
8.You pay £100 for a bag costing £75. What change do you get? Give just the number.
Money · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 9 of 14
Money and change
Add up prices and work out the change from the money you hand over.
1.A pencil costs £7. How much do 4 pencils cost? Give just the number.
2.A book costs £42 and you pay £50. What is the change? Give just the number.
3.A toy costs £30 and a ball costs £25. What is the total?
- a) £45
- b) £65
- c) £50
- d) £55
4.You buy something for £38 and pay £40. What is the change?
- a) £3
- b) £2
- c) £8
- d) £12
5.Put these prices in order, cheapest first.
- £40
- £85
- £65
- £15
6.A bag costs £250 and you pay £300. What is the change? Give just the number.
7.You have £70 and spend £30. Tap what is left.
Mark the line with an X.
8.Match each price to the change you would get from £100.
- £60
- £75
- £90
- £45
- £55
- £40
- £10
- £25
Money and change · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 10 of 14
Telling the time
Read o'clock and half past times on a clock with hands.
1.Match each pair of hands to the time it shows.
- Short on 4, long on 12
- Short on 9, long on 12
- Short between 7 and 8, long on 6
- Short between 1 and 2, long on 6
- Half past 7
- Half past 1
- 9 o'clock
- 4 o'clock
2.Tap the hour that comes 3 hours after 4.
Mark the line with an X.
3.Long hand on 12, short hand on 5. What time is it?
- a) 5 o'clock
- b) 12 o'clock
- c) Half past 5
- d) Half past 12
4.How many hours are in one day?
5.This clock shows half past 4. Tap the minute hand.
Write the number of the part.
6.Tap the hour hand.
Write the number of the part.
7.How many minutes is half an hour?
- a) 60
- b) 15
- c) 45
- d) 30
8.It is 3 o'clock now. Which hour will it be in 2 hours?
Telling the time · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 11 of 14
The calendar
Name the days and months in order, and count days on a calendar.
1.Sort these months by how many days they have.
Groups: 30 days · 31 days
- September
- June
- April
- May
- August
- July
2.Which month comes just after March?
- a) February
- b) June
- c) April
- d) May
3.Today is Monday. What day will it be in 2 days?
4.A month has 28 days. How many whole weeks is that?
5.How many days does February usually have?
- a) 31
- b) 28
- c) 30
- d) 29
6.Put these months in order, earliest in the year first.
- March
- December
- January
- September
- June
7.How many months are in a year?
8.Put these days in order, starting with Monday.
- Friday
- Monday
- Thursday
- Wednesday
- Tuesday
The calendar · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 12 of 14
Reading a picture graph
Read a picture graph and a simple bar chart, and answer questions about what they show.
1.One picture stands for 2 flowers. Match each row to the number of flowers it shows.
- 3 pictures
- 4 pictures
- 5 pictures
- 7 pictures
- 10
- 8
- 14
- 6
2.One picture stands for 2 apples. How many apples do 4 pictures show?
3.A shop sold 8 mugs on Monday, 3 on Tuesday, 12 on Wednesday and 5 on Thursday. Put the days in order, fewest hats first.
- Monday
- Thursday
- Wednesday
- Tuesday
4.A graph shows 8 red counters and 5 blue counters. How many more red counters are there?
5.This chart shows hats sold on four days. Tap the tallest bar.
Write the number of the part.
6.A graph shows 6 cats and 9 dogs. How many animals altogether?
7.This chart shows hats sold on four days. Tap the shortest bar.
Write the number of the part.
8.One picture stands for 5 books. How many books do 3 pictures show?
- a) 15
- b) 8
- c) 10
- d) 20
Reading a picture graph · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 13 of 14
Reading bar charts
Read a bar chart, use its scale to turn a bar height into a number, and compare the bars.
1.A bar chart shows 12, 7, 15 and 6 birds in four gardens. How many more birds were in the busiest garden than in the quietest?
2.On a bar chart each square of the scale stands for 2 children. A bar stands for 18 children. How many squares tall is it?
3.Why does a bar chart need a scale up the side?
- a) So that every bar is the same width
- b) So that the chart has a title
- c) So that the height of a bar can be read as a number
- d) So that the bars look neat
4.This chart shows how many books were read on each of four days. Tap the bar for the day with the fewest.
Write the number of the part.
5.On this chart each square of the scale stands for 4 cars. Match each bar height to the number of cars it shows.
- 2 squares
- 3 squares
- 5 squares
- 7 squares
- 20
- 8
- 12
- 28
6.This chart shows how many goals four teams scored. Tap the bar for the team that scored the second most.
Write the number of the part.
7.A chart shows 22 visitors on Monday, 15 on Tuesday, 30 on Wednesday and 18 on Thursday. Sort each day by whether it had fewer or more than 20 visitors.
Groups: Fewer than 20 · More than 20
- Tuesday
- Monday
- Thursday
- Wednesday
8.A bar chart shows 9, 14, 6 and 11 visitors across four days. How many visitors were there altogether?
Reading bar charts · Year 3 Maths · www.arenapublications.com/learn
Year 3 Maths · 14 of 14
Bar graphs with scales
Read values off a bar graph whose scale counts in steps of more than one, and choose a sensible scale of your own.
1.This bar graph shows how many people visited a library on four days. Tap the bar for the day with the fewest visitors.
Write the number of the part.
2.Why does a bar graph need a scale written up the side?
- a) So the height of a bar can be turned into a number
- b) To make the graph look neat
- c) To give the bars their names
- d) To show which bar is the tallest
3.A bar graph's scale counts in tens. A bar reaches exactly halfway between 30 and 40. What number does it show?
4.A bar graph's scale counts in fives. Match each bar to the number it shows.
- 2 lines up
- 3 lines up
- 5 lines up
- 8 lines up
- 12 lines up
- 10
- 15
- 25
- 60
- 40
5.A graph has ten lines above zero and the largest number to show is 45. Which scale fits best?
- a) 5 for each line
- b) 1 for each line
- c) 20 for each line
- d) 2 for each line
6.A bar graph's scale counts in threes. A bar shows 21. How many lines tall is it?
7.A bar graph has four bars, showing 60, 45, 30 and 25. What is the difference between the tallest bar and the shortest?
8.A bar graph's scale counts in fives. Sort each value by whether its bar lands exactly on a marked line.
Groups: Lands on a line · Lands between two lines
- 13
- 35
- 22
- 15
- 40
- 8
Bar graphs with scales · Year 3 Maths · www.arenapublications.com/learn
Answer keys — Year 3 Maths
In the same order as the worksheets.
Numbers to 999
- 1. 250
- 2. 5
- 3. the right side sinks
- 4. a) 410
- 5. 1. 208 2. 280 3. 802 4. 820
- 6. 254 → 2; 381 → 3; 907 → 9; 145 → 1
- 7. 7
- 8. 743
Number patterns
- 1. 6, 12, 18 → 24; 10, 20, 30 → 40; 7, 14, 21 → 28; 9, 18, 27 → 36
- 2. c) 30
- 3. 32
- 4. 25
- 5. 60
- 6. 30
- 7. c) Add 2
- 8. 50
Adding 3-digit numbers
- 1. 283
- 2. d) 382
- 3. 1. 101 + 102 2. 150 + 60 3. 300 + 25 4. 400 + 90
- 4. 360
- 5. b) 604
- 6. b) 398
- 7. 379
- 8. 234 + 145 → No carrying; 156 + 127 → Carrying needed; 321 + 456 → No carrying; 245 + 137 → Carrying needed
Subtracting 3-digit numbers
- 1. 999
- 2. 586 - 243 → No borrowing; 472 - 128 → Borrowing needed; 365 - 140 → No borrowing; 641 - 129 → Borrowing needed
- 3. 343
- 4. a) 450 - 250
- 5. 1. 300 - 250 2. 400 - 300 3. 500 - 350 4. 600 - 250
- 6. 300 - 100 → 200; 450 - 120 → 330; 625 - 25 → 600; 810 - 400 → 410
- 7. 350
- 8. 450
Equivalent fractions
- 1. d) 1/2
- 2. 20
- 3. d) 2/6
- 4. 2/3 — 4/6 or 6/9 or 8/12 also show it
- 5. 4/6 → The same as 2/3; 3/5 → Not the same as 2/3; 10/15 → The same as 2/3; 5/8 → Not the same as 2/3; 8/12 → The same as 2/3; 2/5 → Not the same as 2/3
- 6. 1/2
- 7. 8
- 8. 6/8
Measuring length
- 1. 7
- 2. 4 cm → 2; 8 cm → 4; 12 cm → 6; 20 cm → 10
- 3. 40
- 4. 1. An ant 2. A pencil 3. A door 4. A bus
- 5. 40
- 6. 12
- 7. 15
- 8. d) 50 cm
How heavy, and how much it holds
- 1. 3 kg → 5; 6 kg → 8; 10 kg → 12; 1 kg → 3
- 2. d) A brick
- 3. 10
- 4. 10
- 5. 3
- 6. 1
- 7. b) A bucket
- 8. 6
Money
- 1. 1. £5 2. £12 3. £25 4. £40 5. £60
- 2. a) £50
- 3. 30
- 4. 18
- 5. 40
- 6. £20 → 30; £35 → 15; £10 → 40; £45 → 5
- 7. 20
- 8. 25
Money and change
- 1. 28
- 2. 8
- 3. d) £55
- 4. b) £2
- 5. 1. £15 2. £40 3. £65 4. £85
- 6. 50
- 7. 40
- 8. £60 → £40; £75 → £25; £90 → £10; £45 → £55
Telling the time
- 1. Short on 4, long on 12 → 4 o'clock; Short on 9, long on 12 → 9 o'clock; Short between 7 and 8, long on 6 → Half past 7; Short between 1 and 2, long on 6 → Half past 1
- 2. 7
- 3. a) 5 o'clock
- 4. 24
- 5. 2 — Minute hand
- 6. 1 — Hour hand
- 7. d) 30
- 8. 5
The calendar
- 1. April → 30 days; May → 31 days; June → 30 days; July → 31 days; September → 30 days; August → 31 days
- 2. c) April
- 3. Wednesday
- 4. 4
- 5. b) 28
- 6. 1. January 2. March 3. June 4. September 5. December
- 7. 12
- 8. 1. Monday 2. Tuesday 3. Wednesday 4. Thursday 5. Friday
Reading a picture graph
- 1. 3 pictures → 6; 4 pictures → 8; 5 pictures → 10; 7 pictures → 14
- 2. 8
- 3. 1. Tuesday 2. Thursday 3. Monday 4. Wednesday
- 4. 3
- 5. 3 — Wednesday
- 6. 15
- 7. 2 — Tuesday
- 8. a) 15
Reading bar charts
- 1. 9
- 2. 9
- 3. c) So that the height of a bar can be read as a number
- 4. 3 — Wednesday
- 5. 2 squares → 8; 3 squares → 12; 5 squares → 20; 7 squares → 28
- 6. 4 — Yellow team
- 7. Monday → More than 20; Tuesday → Fewer than 20; Wednesday → More than 20; Thursday → Fewer than 20
- 8. 40
Bar graphs with scales
- 1. 2 — Tuesday
- 2. a) So the height of a bar can be turned into a number
- 3. 35
- 4. 2 lines up → 10; 3 lines up → 15; 5 lines up → 25; 8 lines up → 40; 12 lines up → 60
- 5. a) 5 for each line
- 6. 7
- 7. 35
- 8. 15 → Lands on a line; 22 → Lands between two lines; 35 → Lands on a line; 8 → Lands between two lines; 40 → Lands on a line; 13 → Lands between two lines
Year 3 Maths · www.arenapublications.com/learn