Term pack
Grade 2 Math
Name: ________________________
Skills in this pack
- Adding within 100
- Subtracting within 100
- Numbers to 100
- Making and breaking tens
- Counting in 2s, 5s and 10s
- Numbers to 999
- Adding 3-digit numbers
- Subtracting 3-digit numbers
- Multiplying is adding again and again
- Measuring length
- Money
- Telling the time
- Picture graphs
- Money and change
- Telling the time
- Money and change
- Solid shapes around us
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Grade 2 Math · 1 of 17
Adding within 100
Add two two-digit numbers.
Before you start
Walk along the line and watch the tens go past. Every number with a label under it is ten more than the one before.
Adding 46 + 18 is two walks along this line: ten more carries you from 46 to 56, and eight more steps lands you on 64. That is the same as putting the tens together and then the ones.
1.Sort these sums by whether the ones must make a new ten.
Groups: No new ten · Makes a new ten
- 61 + 29
- 46 + 18
- 27 + 35
- 35 + 22
- 50 + 43
- 23 + 14
2.Match each sum to its answer.
- 23 + 40
- 18 + 25
- 52 + 36
- 49 + 22
- 88
- 43
- 71
- 63
3.61 + 29 = ?
4.38 + 47 = ?
5.Which sum gives the biggest answer?
- a) 27 + 26
- b) 24 + 31
- c) 43 + 12
- d) 18 + 39
6.19 + 26 = ?
7.Put these sums in order, smallest answer first.
- 35 + 22
- 23 + 14
- 46 + 18
- 38 + 47
8.Tap the number that is one ten more than 47.
Mark the line with an X.
Adding within 100 · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 2 of 17
Subtracting within 100
Take one two-digit number away from another.
1.62 − 27 = ?
2.54 − 21 = ?
3.Sort these subtractions by whether you must break a ten open.
Groups: No breaking needed · Must break a ten
- 47 − 13
- 54 − 21
- 73 − 19
- 62 − 27
- 66 − 40
- 85 − 46
4.85 − 46 = ?
5.90 − 38 = ?
6.Match each subtraction to its answer.
- 58 − 24
- 71 − 35
- 90 − 47
- 82 − 19
- 43
- 36
- 63
- 34
7.Put these subtractions in order, smallest answer first.
- 66 − 40
- 31 − 16
- 73 − 19
- 54 − 21
8.Tap where 45 − 12 lands.
Mark the line with an X.
Subtracting within 100 · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 3 of 17
Numbers to 100
Read, write and compare numbers up to 100 as tens and ones.
Before you start
Here are all the tens from 0 to 100. Find out how far along the line each one sits.
Each step along this line adds one more ten.
1.Tap 40 on the line.
Mark the line with an X.
2.Which number is 8 tens and 0 ones?
- a) 80
- b) 18
- c) 8
- d) 88
3.4 tens and 7 ones make what number?
4.Match each number to its tens and ones.
- 35
- 53
- 30
- 50
- 5 tens 0 ones
- 3 tens 0 ones
- 5 tens 3 ones
- 3 tens 5 ones
5.Sort these numbers by whether they are less or more than 50.
Groups: Less than 50 · More than 50
- 48
- 62
- 77
- 34
- 95
- 19
6.What is 10 more than 45?
7.What is 1 less than 70?
8.Tap the number just after 57.
Mark the line with an X.
Numbers to 100 · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 4 of 17
Making and breaking tens
Swap ten ones for one ten, and break one ten back into ten ones.
Before you start
Thirty ones in a row, with a number written at every fifth mark. Move along the line and see where the tens fall.
Counting on ten ones lands you exactly on the next ten. That is what swapping ten ones for one ten does — the same place on the line, reached a shorter way.
1.46 + 7 = ?
2.Sort these sums by whether you must break a ten open.
Groups: No breaking · Break a ten
- 63 − 38
- 45 − 15
- 58 − 23
- 52 − 27
- 84 − 29
- 76 − 41
3.Work out each sum, then put them in order, smallest answer first.
- 19 + 5
- 28 + 6
- 49 + 9
- 37 + 8
4.62 is 5 tens and how many ones?
5.Tap the number that is one ten more than 30.
Mark the line with an X.
6.28 + 5 = ?
7.7 ones and 6 ones make 13 ones. How many tens is that?
- a) 1
- b) 0
- c) 2
- d) 3
8.Sort these sums by whether you must make a new ten.
Groups: No new ten · Make a new ten
- 36 + 29
- 41 + 32
- 27 + 18
- 48 + 17
- 52 + 24
- 23 + 15
Making and breaking tens · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 5 of 17
Counting in 2s, 5s and 10s
Count forwards in twos, fives and tens, and say which numbers you land on.
Before you start
This line only shows the numbers you land on when you count in 2s. Find out how far along each one sits.
Every number on this line is an even number — the ones you skip are the odd ones.
1.Sort these numbers by whether you say them when counting in 5s.
Groups: You say it · You do not
- 18
- 25
- 30
- 45
- 32
- 7
2.Count in 10s. Tap 70.
Mark the line with an X.
3.Put these in counting order, smallest first.
- 20
- 12
- 18
- 14
- 16
4.Count in 5s: 5, 10, 15, ___
5.Which number do you NOT say when counting in 10s?
- a) 55
- b) 50
- c) 70
- d) 30
6.How many socks are in 4 pairs?
7.Match each count to the number you land on.
- Five 2s
- Four 5s
- Three 10s
- Seven 2s
- 14
- 10
- 20
- 30
8.Count in 2s. Tap the next number you land on after 8.
Mark the line with an X.
Counting in 2s, 5s and 10s · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 6 of 17
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.Match each number to how many hundreds it has.
- 254
- 381
- 907
- 145
- 1
- 2
- 9
- 3
2.What is the tens digit in 472?
3.What is the hundreds digit in 528?
4.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
5.What number is 1 more than 599?
6.Which sign goes between 407 and 470?
- a) >
- b) =
- c) <
7.Which number is the largest?
- a) 399
- b) 409
- c) 401
- d) 410
8.Sort each number by whether it is less than 500 or more than 500.
Groups: Less than 500 · More than 500
- 645
- 312
- 489
- 730
Numbers to 999 · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 7 of 17
Adding 3-digit numbers
Add two numbers up to 999, carrying a ten or a hundred where you need to.
1.406 + 90 = ?
2.245 + 137 = ?
- a) 392
- b) 372
- c) 382
- d) 472
3.Which sum gives 500?
- a) 280 + 240
- b) 250 + 240
- c) 260 + 240
- d) 270 + 240
4.199 + 199 = ?
- a) 400
- b) 298
- c) 398
- d) 388
5.234 + 145 = ?
6.A shop has 128 red pens and 145 blue pens. How many pens altogether?
7.Match each sum to its answer.
- 120 + 130
- 210 + 145
- 308 + 60
- 425 + 25
- 368
- 450
- 355
- 250
8.Put these sums in order, smallest answer first.
- 400 + 90
- 150 + 60
- 101 + 102
- 300 + 25
Adding 3-digit numbers · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 8 of 17
Subtracting 3-digit numbers
Take one number up to 999 away from another, borrowing a ten or a hundred where you need to.
1.Put these subtractions in order, smallest answer first.
- 600 - 250
- 300 - 250
- 500 - 350
- 400 - 300
2.472 - 128 = ?
3.Tap where 480 - 30 lands.
Mark the line with an X.
4.Sort each subtraction by whether the ones column has to borrow a ten.
Groups: No borrowing · Borrowing needed
- 472 - 128
- 365 - 140
- 641 - 129
- 586 - 243
5.A shelf has 240 books and 115 are taken away. How many books are left?
6.Tap where 700 - 350 lands.
Mark the line with an X.
7.365 - 140 = ?
- a) 245
- b) 235
- c) 225
- d) 215
8.586 - 243 = ?
Subtracting 3-digit numbers · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 9 of 17
Multiplying is adding again and again
Read 3 × 4 as three lots of four, and work it out by adding.
1.What is 3 × 5?
2.3 × 6 = ?
3.Which times sum is the same as 4 + 4 + 4 + 4 + 4?
- a) 5 × 5
- b) 4 × 4
- c) 5 × 4
- d) 4 + 5
4.3 × 3 = ?
5.Which sum shows 5 lots of 2?
- a) 2 + 2 + 2 + 2 + 2
- b) 2 + 5
- c) 5 + 5
- d) 5 + 5 + 5
6.Sort these by whether the answer is more than 10.
Groups: 10 or less · More than 10
- 2 × 4
- 4 × 4
- 5 × 2
- 3 × 5
- 6 × 3
- 2 × 3
7.Every row here has 3 dots. Tap the picture that shows 4 × 3.
Write the number of the part.
8.4 + 4 + 4 = ?
Multiplying is adding again and again · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 10 of 17
Measuring length
Measure things with clips and with a ruler, and compare the lengths.
1.Sort these by the unit you would measure them in.
Groups: inches · feet
- A finger
- A tree
- A classroom
- A shoe
- A pencil
- A playground
2.Tap the mark at 15 inches.
Mark the line with an X.
3.Two ropes are 15 inches and 25 inches long. How long are they together?
4.A 30 inches ribbon has 12 cut off it. How long is the piece left?
5.A pencil is 8 clips long and a pen is 6. How many more clips is the pencil?
6.A step is 4 clips long. How many clips are 3 steps?
7.Put these in order, shortest first.
- A bus
- A door
- An ant
- A pencil
8.A table is 90 inches long and a shelf is 60. How much longer is the table?
Measuring length · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 11 of 17
Money
Add up what things cost and work out the change.
1.A pen costs $12 and a book costs $25. What is the total? Give just the number.
2.Put these amounts in order, smallest first.
- $25
- $40
- $12
- $5
- $60
3.A sweet costs $5. What do 4 sweets cost? Give just the number.
4.A book costs $60 and you have $45. How much more do you need? Give just the number.
5.Sort these amounts by whether they are under $20.
Groups: Under $20 · $20 or more
- $35
- $12
- $20
- $18
- $5
- $60
6.This line shows money in $. Tap 40.
Mark the line with an X.
7.Which of these is worth the most?
- a) $50
- b) $5
- c) $20
- d) $10
8.Two toys cost $15 each. What do they cost together? Give just the number.
Money · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 12 of 17
Telling the time
Read o'clock and half past times on a clock with hands.
1.Tap the hour hand.
Write the number of the part.
2.Long hand on 12, short hand on 5. What time is it?
- a) Half past 5
- b) 5 o'clock
- c) 12 o'clock
- d) Half past 12
3.Put these times in order, earliest first.
- Half past 2
- 2 o'clock
- Half past 1
- 1 o'clock
4.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 1
- 9 o'clock
- 4 o'clock
- Half past 7
5.Tap the hour that comes 3 hours after 4.
Mark the line with an X.
6.Long hand on 6, short hand between 2 and 3. What time is it?
- a) 2 o'clock
- b) Half past 6
- c) Half past 3
- d) Half past 2
7.It is 3 o'clock now. Which hour will it be in 2 hours?
8.How many hours are in one day?
Telling the time · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 13 of 17
Picture graphs
Read a picture graph and answer questions about what it shows.
Before you start
This graph shows the fruit a stall sold. Every square is one fruit. Find out which row is which.
- 1. Apples
- 2. Bananas
- 3. Mangoes
- 4. Pears
You can tell which sold most from across the room, because the row is longer.
1.A graph shows 9 birds and 4 fish. How many more birds than fish?
2.Put these rows in order, fewest pictures first.
- 5 pictures
- 3 pictures
- 7 pictures
- 2 pictures
3.Every square is one fruit. Tap the row that sold the fewest.
Write the number of the part.
4.One picture stands for 2 apples. Match each row to how many apples it shows.
- 3 pictures
- 5 pictures
- 1 picture
- 4 pictures
- 2
- 8
- 6
- 10
5.One picture stands for 5 stars. How many stars do 3 pictures show?
6.Every square is one fruit. Tap the row that sold the most.
Write the number of the part.
7.One picture stands for 2 books. How many books do 4 pictures show?
- a) 2
- b) 4
- c) 6
- d) 8
8.One picture stands for 10 pens. Sort these rows by whether they show more than 30 pens.
Groups: 30 or fewer · More than 30
- 6 pictures
- 2 pictures
- 3 pictures
- 1 picture
- 5 pictures
- 4 pictures
Picture graphs · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 14 of 17
Money and change
Add small amounts of money, compare prices and work out simple change.
1.You have $5 and $3. How much is that altogether? Give just the number.
2.Which one costs more?
- a) A pen for $9
- b) A pencil for $2
- c) A toy for $12
- d) A book for $15
3.A pen costs $6. You pay with $10. How much change do you get? Give just the number.
4.Sort each price by whether it is less than $10 or more than $10.
Groups: Less than $10 · More than $10
- $4
- $2
- $8
- $15
- $11
- $18
5.You have $10 and $7. How much is that altogether? Give just the number.
6.Which amount is worth more?
- a) $11
- b) $7
- c) $9
- d) $4
7.You have $12. Which one can you buy?
- a) A bat for $15
- b) A toy for $20
- c) A kite for $18
- d) A ball for $10
8.You have $15 and you spend $6. Tap how much is left.
Mark the line with an X.
Money and change · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 15 of 17
Telling the time
Read a clock to the nearest five minutes, and use o'clock, half past, quarter past and quarter to.
Before you start
Here is a clock face. Find the short hand and the long hand.
- 1. The hour hand
- 2. The minute hand
The short hand moves slowly — it takes a whole hour to reach the next number.
1.Match each clock time to what we say.
- 6:00
- 6:30
- 6:15
- 6:45
- Half past six
- Quarter past six
- Six o'clock
- Quarter to seven
2.Put these times in order, earliest first.
- 7:00
- 8:00
- 7:20
- 7:35
3.Tap 25 minutes past on this line.
Mark the line with an X.
4.The minute hand points at 7. How many minutes past is that?
5.Tap the minute hand.
Write the number of the part.
6.How many minutes are in a quarter of an hour?
- a) 15
- b) 20
- c) 30
- d) 10
7.The clock says 9:45. What is that?
- a) Quarter to nine
- b) Half past nine
- c) Quarter past nine
- d) Quarter to ten
8.The minute hand points at 4. How many minutes past is that?
Telling the time · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 16 of 17
Money and change
Add up prices and work out the change from the money you hand over.
1.A bag costs $250 and you pay $300. What is the change? Give just the number.
2.Put these prices in order, cheapest first.
- $65
- $85
- $15
- $40
3.You have $70 and spend $30. Tap what is left.
Mark the line with an X.
4.A toy costs $30 and a ball costs $25. What is the total?
- a) $50
- b) $55
- c) $45
- d) $65
5.A pencil costs $7. How much do 4 pencils cost? Give just the number.
6.A book costs $42 and you pay $50. What is the change? Give just the number.
7.Sort each price by whether you could buy it with $50.
Groups: You can buy it · It costs too much
- $60
- $45
- $80
- $30
8.Match each price to the change you would get from $100.
- $60
- $75
- $90
- $45
- $40
- $10
- $55
- $25
Money and change · Grade 2 Math · www.arenapublications.com/learn
Grade 2 Math · 17 of 17
Solid shapes around us
Name a cube, cuboid, sphere, cylinder and cone, and spot them in real things.
Before you start
Five solid shapes, each with its own name. Find out what each one is called.
- 1. Cube
- 2. Cuboid
- 3. Sphere
- 4. Cylinder
- 5. Cone
A cube is really a cuboid whose sides all happen to be the same size.
1.A tin of beans is shaped like which solid?
- a) Cylinder
- b) Cone
- c) Sphere
- d) Cube
2.How many flat faces does a cube have?
3.How many edges does a cube have?
4.How many corners does a cube have?
5.Tap the sphere.
Write the number of the part.
6.A party hat is shaped like which solid?
- a) Cylinder
- b) Sphere
- c) Cube
- d) Cone
7.Tap the thing shaped like a cylinder.
Write the number of the part.
8.Sort these solids by whether they can roll.
Groups: Rolls · Does not roll
- Cube
- Sphere
- Cuboid
- Cylinder
Solid shapes around us · Grade 2 Math · www.arenapublications.com/learn
Answer keys — Grade 2 Math
In the same order as the worksheets.
Adding within 100
- 1. 23 + 14 → No new ten; 46 + 18 → Makes a new ten; 35 + 22 → No new ten; 27 + 35 → Makes a new ten; 61 + 29 → Makes a new ten; 50 + 43 → No new ten
- 2. 23 + 40 → 63; 18 + 25 → 43; 52 + 36 → 88; 49 + 22 → 71
- 3. 90
- 4. 85
- 5. d) 18 + 39
- 6. 45
- 7. 1. 23 + 14 2. 35 + 22 3. 46 + 18 4. 38 + 47
- 8. 57
Subtracting within 100
- 1. 35
- 2. 33
- 3. 47 − 13 → No breaking needed; 62 − 27 → Must break a ten; 85 − 46 → Must break a ten; 54 − 21 → No breaking needed; 73 − 19 → Must break a ten; 66 − 40 → No breaking needed
- 4. 39
- 5. 52
- 6. 58 − 24 → 34; 71 − 35 → 36; 90 − 47 → 43; 82 − 19 → 63
- 7. 1. 31 − 16 2. 66 − 40 3. 54 − 21 4. 73 − 19
- 8. 33
Numbers to 100
- 1. 40
- 2. a) 80
- 3. 47
- 4. 35 → 3 tens 5 ones; 53 → 5 tens 3 ones; 30 → 3 tens 0 ones; 50 → 5 tens 0 ones
- 5. 34 → Less than 50; 62 → More than 50; 19 → Less than 50; 95 → More than 50; 48 → Less than 50; 77 → More than 50
- 6. 55
- 7. 69
- 8. 58
Making and breaking tens
- 1. 53
- 2. 58 − 23 → No breaking; 52 − 27 → Break a ten; 76 − 41 → No breaking; 63 − 38 → Break a ten; 45 − 15 → No breaking; 84 − 29 → Break a ten
- 3. 1. 19 + 5 2. 28 + 6 3. 37 + 8 4. 49 + 9
- 4. 12
- 5. 40
- 6. 33
- 7. a) 1
- 8. 23 + 15 → No new ten; 27 + 18 → Make a new ten; 41 + 32 → No new ten; 36 + 29 → Make a new ten; 52 + 24 → No new ten; 48 + 17 → Make a new ten
Counting in 2s, 5s and 10s
- 1. 25 → You say it; 30 → You say it; 32 → You do not; 45 → You say it; 18 → You do not; 7 → You do not
- 2. 70
- 3. 1. 12 2. 14 3. 16 4. 18 5. 20
- 4. 20
- 5. a) 55
- 6. 8
- 7. Five 2s → 10; Four 5s → 20; Three 10s → 30; Seven 2s → 14
- 8. 10
Numbers to 999
- 1. 254 → 2; 381 → 3; 907 → 9; 145 → 1
- 2. 7
- 3. 5
- 4. the right side sinks
- 5. 600
- 6. c) <
- 7. d) 410
- 8. 312 → Less than 500; 645 → More than 500; 489 → Less than 500; 730 → More than 500
Adding 3-digit numbers
- 1. 496
- 2. c) 382
- 3. c) 260 + 240
- 4. c) 398
- 5. 379
- 6. 273
- 7. 120 + 130 → 250; 210 + 145 → 355; 308 + 60 → 368; 425 + 25 → 450
- 8. 1. 101 + 102 2. 150 + 60 3. 300 + 25 4. 400 + 90
Subtracting 3-digit numbers
- 1. 1. 300 - 250 2. 400 - 300 3. 500 - 350 4. 600 - 250
- 2. 344
- 3. 450
- 4. 586 - 243 → No borrowing; 472 - 128 → Borrowing needed; 365 - 140 → No borrowing; 641 - 129 → Borrowing needed
- 5. 125
- 6. 350
- 7. c) 225
- 8. 343
Multiplying is adding again and again
- 1. 15
- 2. 18
- 3. c) 5 × 4
- 4. 9
- 5. a) 2 + 2 + 2 + 2 + 2
- 6. 2 × 4 → 10 or less; 3 × 5 → More than 10; 5 × 2 → 10 or less; 4 × 4 → More than 10; 2 × 3 → 10 or less; 6 × 3 → More than 10
- 7. 3 — Four rows of 3
- 8. 12
Measuring length
- 1. A pencil → inches; A classroom → feet; A finger → inches; A tree → feet; A shoe → inches; A playground → feet
- 2. 15
- 3. 40
- 4. 18
- 5. 2
- 6. 12
- 7. 1. An ant 2. A pencil 3. A door 4. A bus
- 8. 30
Money
- 1. 37
- 2. 1. $5 2. $12 3. $25 4. $40 5. $60
- 3. 20
- 4. 15
- 5. $5 → Under $20; $35 → $20 or more; $12 → Under $20; $20 → $20 or more; $18 → Under $20; $60 → $20 or more
- 6. 40
- 7. a) $50
- 8. 30
Telling the time
- 1. 1 — Hour hand
- 2. b) 5 o'clock
- 3. 1. 1 o'clock 2. Half past 1 3. 2 o'clock 4. Half past 2
- 4. 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
- 5. 7
- 6. d) Half past 2
- 7. 5
- 8. 24
Picture graphs
- 1. 5
- 2. 1. 2 pictures 2. 3 pictures 3. 5 pictures 4. 7 pictures
- 3. 3 — Mangoes
- 4. 3 pictures → 6; 5 pictures → 10; 1 picture → 2; 4 pictures → 8
- 5. 15
- 6. 2 — Bananas
- 7. d) 8
- 8. 2 pictures → 30 or fewer; 5 pictures → More than 30; 3 pictures → 30 or fewer; 6 pictures → More than 30; 1 picture → 30 or fewer; 4 pictures → More than 30
Money and change
- 1. 8
- 2. d) A book for $15
- 3. 4
- 4. $4 → Less than $10; $15 → More than $10; $8 → Less than $10; $11 → More than $10; $2 → Less than $10; $18 → More than $10
- 5. 17
- 6. a) $11
- 7. d) A ball for $10
- 8. 9
Telling the time
- 1. 6:00 → Six o'clock; 6:30 → Half past six; 6:15 → Quarter past six; 6:45 → Quarter to seven
- 2. 1. 7:00 2. 7:20 3. 7:35 4. 8:00
- 3. 25
- 4. 35
- 5. 2 — The minute hand
- 6. a) 15
- 7. d) Quarter to ten
- 8. 20
Money and change
- 1. 50
- 2. 1. $15 2. $40 3. $65 4. $85
- 3. 40
- 4. b) $55
- 5. 28
- 6. 8
- 7. $30 → You can buy it; $45 → You can buy it; $60 → It costs too much; $80 → It costs too much
- 8. $60 → $40; $75 → $25; $90 → $10; $45 → $55
Solid shapes around us
- 1. a) Cylinder
- 2. 6
- 3. 12
- 4. 8
- 5. 3 — Sphere
- 6. d) Cone
- 7. 2 — Tin
- 8. Sphere → Rolls; Cube → Does not roll; Cylinder → Rolls; Cuboid → Does not roll
Grade 2 Math · www.arenapublications.com/learn