CHAMPIONS
Mathematics GRADE 2 VOLUME 1
Jean Boustani Antoine Sayegh
0C 0M 0Y 100K 18C 100M 100Y 10K 0C 100M 100Y 100K
CHAMPIONS
Mathematics GRADE 2 volume 1
Jean Boustani Antoine Sayegh
Illustrations: Gabriel Gergis
Translation: Samar Maalouf Tohme
© DIDO s.a.l.
P.O. Box 198 Mansourieh
Matn, Lebanon
+961 4 409715
www.dido-education.com
ISBN 978-614-8012-18-1
Any representation or reproduction in whole or in part, by any means whatsoever, whether focusing on the text, the illustrations, the
photographs, the captions or the layout, without the consent of the publisher, the beneficiaries and the assignees, is illegal and considered
plagiarism or counterfeit and will be sanctioned by the laws of the protection of Intellectual Property rights. All rights reserved worldwide.
وقد جرى تقييمه لهذه الجهة والموافقة عليه من قبل المركز التربو ّي،1997/5/8 تاريخ10227 إ ّن هذا الكتاب مطابق للأنظمة والقوانين ال ّنافذة ومشتمل على مضامين المناهج ال ّصادرة بالمرسوم رقم
. وإ ّن المركز غير مسؤول عن الأخطاء التي قد ترد في هذا الكتاب من أي نوع كانت،1999/9/20 تاريخ٩٩ك. ت٣٦٧ للبحوث والإنماء بموجب خلاصة التقييم رقم
Preface
In accordance with the program orientations, this new edition
is based on our large experience in teaching mathematics. Its
purpose is to place mathematics accessible to everyone.
With this objective in mind, we have adopted an approach which
has been developed in an explicit and flexible progression.
Such an approach will allow children to progress easily without
being annoyed. Thus, mathematics courses will be wanted and
awaited.
Numeration
That a student can become mathematically literate without
mastering numbers is quite unthinkable. Hence, a number of
units throughout the curriculum have been dedicated to this
topic. However, to ensure a better assimilation large numbers
have not been dealt with at this level.
Besides practice in the writing and reading of numbers, great
emphasis has been placed on the development of adding and
subtracting numbers and the acquisition of the concept of fact
families.
Whole Number Computations
Addition, subtraction, multiplication and division – all four
operations are studied in the Second Elementary. We have
taken great care to draw situations from the students’ immediate
environment. These situations have been illustrated with the aim
to allow each child to investigate and understand by himself.
Mental Arithmetic
Students should become accustomed to carrying out mental
calculations whenever possible. Brief but daily sessions
and practice should complement the work in the textbook.
Furthermore, exercises have been designed to give increased
attention to foresee results of operations to develop the child’s
critical sense and make him re-consider improbable results that
he obtained.
Measurement
The measurement of length, mass, capacity, perimeter, area,
volume and duration has only been touched on. Our objective
is to acquaint the students with the units of each system of
measurement and to approximate their results according to
logical reality.
Concrete tasks and manipulations seem to be the most
appropriate for a better understanding of the related units.
Geometry
Work in this area cannot be modest at the level of the Second
Elementary and relies mainly on observation, counting and
practice in the use of the ruler and set-square.
The Authors
Contents
Unit 1 Zero Through Nineteen 6 Unit 24 Addition and Subtraction 52
Unit 2 Addition 8 Unit 25 Zero Through Ninety-Nine 54
Unit 3 The complement 10 Unit 26 Locating Dots 56
Unit 4 Orientation 12 Unit 27 Addition and Subtraction 58
Unit 5 Subtraction 14 Unit 28 Capacity 60
Unit 6 Addition and Subtraction 16 Unit 29 Addition and Subtraction 62
Unit 7 Subtraction 18 Unit 30 Exercises 64
Unit 8 Measuring Length 20 Unit 31 Functions 66
Unit 9 Zero Through Nineteen 22 Unit 32 Addition 68
Unit 10 Exercises 24 Unit 33 Displacement on a Grid 70
Unit 11 Tens 26 Unit 34 Subtraction 72
Unit 12 More than and Less than 28 Unit 35 Sets 74
Unit 13 Measuring Length 30 Unit 36 Zero Through Ninety-Nine 76
Unit 14 Addition and Subtraction 32 Unit 37 Subtraction 78
Unit 15 Zero Through Ninety-Nine 34 Unit 38 Perimeters 80
Unit 16 Inside and Outside 36 Unit 39 Addition and Subtraction 82
Unit 17 Addition and Subtraction 38 Unit 40 Exercises 84
Unit 18 Polygons 40 Unit 41 One Hundred 86
Unit 19 Addition and Subtraction 42 Unit 42 Multiplication 88
Unit 20 Exercises 44 Unit 43 Multiplication 90
Unit 21 Zero Through Ninety-Nine 46 Unit 44 Intersection of Sets 92
Unit 22 Addition and Subtraction 48 Unit 45 Multiplication 94
Unit 23 Locating Boxes 50
Zero Through Nineteen
1. Group in tens. Then complete.
Tens Ones Tens Ones
Digit Digit Digit Digit
2. Give the number of each group. Then write it in words.
3. Add. 10 + 8 = 10 + 9 = 10 + 1 =
10 + 4 = 10 + 2 = 10 + 7 =
10 + 5 =
10 + 3 =
4. Write the numerals. 5. Write in words.
twelve : nine : 13 : 10 :
8: 5:
fourteen : eleven :
19 : 18 :
seven : fifteen : 6: 4:
sixteen : seventeen :
6. List the numbers from 0 to 19.
6
Unit 1
7. Write the number of circles and complete with < or >.
8. Complete with < or >. 13 18 11 10 10 16
19 12 3 18 0 16
94
57
9. Write from the least to the greatest. 10. Write from the greatest to the least.
13, 12, 9, 10 : 16, 13, 17, 11 :
14, 17, 11, 8 : 6, 19, 5, 14 :
11. Complete the patterns. :9 .َأ ْكُت ُب اأَْل ْعدا َد ِبا ْل َع َر ِبَّية
: 15
14 13 12 :5 : 14 : 10
0 24 : 11 : 19
1 35 :8 :6
12. .١٩ َأ ْكُت ُب ِم ْن ِص ْف ٍر ِإلى
: 12
: 17
: 13
13.
7
Addition
1. Complete the equation, and then answer.
How many birds are there in all? How many flags are there in all?
Equation : Equation :
Answer : Answer :
2. Find the sum. 3. Find the sum.
4+1= 5+1= 3+2= 6+2=
6+1= 9+1= 7+2= 8+2=
4. Add. 5. Add: begin with the greater number.
4+3= 5+3= 8+2= 3+6=
7+3= 2+3= 2+6= 2+7=
6+3= 3+3= 7+1= 1+8=
6. Add. 3+5= 0+9= 3+6=
2+7= 4+3= 6+2=
4+4= 6+1= 5+4= 1+2=
5+5=
2+2=
7. Mary is counting her books.
She has 3 on her desk and 6 in her bag.
How many books does she have in all?
Equation :
Answer :
8
8. Write the equations. Unit 2
9. Draw circles. Then add.
3+4=
5+3=
4+4=
6+2=
10. Complete the tables.
+67 +53 +2 4 +3 2
2 4 55
1 0 4 6
11. Add. 4+3+2= 1+4+2=
6+2+1= 1+0+5=
2+5+2= 3+2+4= 2+2+2=
3+3+3=
5+2+1= Sarah picked 5 yellow tulips and 3 red
ones.
12. How many tulips did she pick in all?
Equation :
Answer :
13. Ralph has collected 5 sea shells,
John has collected 3, and Pamela 1.
How many shells have they collected
in all?
Equation :
Answer :
9
The Complement
1. Martha wants to put 6 candles on 2. There are 5 flowers in the vase.
her cake. Complete the drawing. Complete the drawing.
2+ =6 + =5
3. Complete to get 6. 4. Complete to get 8.
4+ =6 3+ =8
5+ =8
2+ =8
1+ =8
5. Complete. 9 6 8 7
5 7+ 4+ 6+ 4+
5+ 3+ 3+ 2+
1+ 1+ 5+ 4+ 1+
3+ 6+ 2+ 1+ 5+
4+
2+
6. Complete to get 10. = 10 7. Complete. 6+
= 10
5+ = 10 8+
3+ = 10
1+ 5 + 10 7 +
2+
4+ 9+
10
Unit 3
8. Jerry thinks of a number. 9. Marc thinks of a number.
He adds 5 to it and gets 8. He adds 3 to it and gets 9.
What is this number? Find this number.
Equation : Equation :
Answer :
Answer :
10. Sam thinks of a number.
11. Ralph thinks of a number.
He adds to it first 1 then 3 and gets 8.
What is this number? He adds it to itself and gets 6.
What is this number?
Equation :
Answer : Equation :
12. Complete the tables. Answer :
+ 3 +6 +3 6 +4
57 2 5 4 7
6
3 7 3 5
13. Ruth has 6 pencils on her desk and Simon must color 7 fish.
He has already finished 3.
4 in her pencil-case. How many How many fish must he still color?
pencils does she have in all?
Equation :
Answer :
14.
Equation :
Answer :
11
Orientation
1. Color the balloons held in the right hand.
2. Color the drawings to the right 3. Color the drawings to the right
of the square. of the red line.
Color the drawings to the left of
the triangle.
4. Color the drawings above the red 5. Color the drawings that are above
line. the blue line and to the right of
the red line at the same time.
12
Unit 4
Carole
Rima
Sandra
6. Write the name of each girl. Carmen sits to the left of Sandra.
Anne sits to the right of Rima.
Mary sits to the right of Carole. Pat sits behind Anne.
Sylvia sits to the left of Rima.
Martha sits in front of Sylvia.
7. Complete. Rima Pat sits Sandra
Carole Sylvia sits Carmen
Sandra sits
Martha sits
13
Subtraction 2.
1.
There were 5 birds in the cage. Seven ducks were swimming in the pond.
Two flew away. 3 came out of the water.
How many birds remained in the cage? How many ducks remained in the pond.
Equation : 5 – 2 = Equation : 7 – 3 =
Answer : birds remained in the cage. Answer : ducks remained in the pond.
3. Cross out to find the difference.
8–2= 8–5=
7–5= 9–5=
8–4= 6–5=
4. Hide as many as you should, and find the difference.
6 – 1 = 9 – 7 = 7 – 5 =
6 – 4 = 9 – 5 = 7 – 3 =
6 – 3 = 9 – 2 = 7 – 6 =
6 – 5 = 9 – 4 = 7 – 1 =
14
Unit 5
5. Count back by ones. 6. Count back by ones. 9
8 10 25
7 46 67
59 3 82
7. Find the difference. 9–1=
9–2=
7–1= 8–2= 10 – 1 = 8–1=
6–1= 5–2= 10 – 2 =
5–1= 6–2=
7–2=
8. A farmer had 9 rabbits; 3 of them
ran away.
How many rabbits does he still have?
Equation :
Answer :
9. There were 7 lollipops in the box. 10. There are 5 bananas and 4 oranges
Mary ate 2 of them. in a basket.
How many lollipops remain in the How many fruits are there in all?
box?
Equation :
Equation : Answer :
Answer :
11. Subtract. 8–5= 10 – 4 = 9–8=
6–4= 10 – 6 = 8–6=
9–5= 7–5= 10 – 3 = 7–4=
7–6= 8–3= 10 – 5 = 6–6=
8–4=
8–0=
15
Addition and Subtraction 9
1. Complete the equations.
7
7–4= 7–3= 9–5= 9–4=
8 6
8–5= 8–3= 6–5= 6–1=
2. Subtract. 8–0= 7–2= 10 – 1 =
8–8= 7–5= 10 – 9 =
9–3=
9–6=
3. Joyce thinks of a number. 4. Mona has 8 books on the shelf.
She adds 5 to it and gets 9. She takes one of them. How many
What is this number? books remain on the shelf?
Equation : Equation :
Answer : Answer :
5. Complete.
3+ =7 7–3= 4+ =8 8–4=
4+ =7 7–4= 6+ =8 8–6=
5+ =7 7–5= 3+ =8 8–3=
6+ =7 7–6= 1+ =8 8–1=
16
6. Complete the family of facts. Unit 6
3+2= 5–2= 5+4= 9–4=
2+3= 5–3= 4+5= 9–5=
5 + 10 =
7. Complete the family of facts. 10 + 6 =
10 + 4 =
3+5= 2+6= 8+2= 6+3=
5+3=
8–3=
8–5=
5 + 2= 7+3= 9+1=
8. Alan had 7 eggs in a basket. 9. Tom has solved ten addition
Four fell and broke. problems. Six answers are correct.
How many eggs remain? How many answers are wrong?
Equation : Equation :
Answer : Answer :
10. Paul needs 9 snails.
He has found only four.
How many snails does he still need?
Equation :
Answer :
11. Complete. 10 + 4 = 5–2= 10 – 8 =
10 + 6 = 8–2= 10 – 6 =
6+4=
9+1=
17
Subtraction
1. Hide as many as you should, and find the difference.
6 – 3 = 5 – 1 = 7 – 2 =
6 – 4 = 5 – 3 = 7 – 3 =
6 – 1 = 5 – 2 = 7 – 5 =
6 – 5 = 5 – 5 = 7 – 1 =
6 – 2 = 5 – 4 = 7 – 6 =
9 – 3 = 8 – 7 = 10 – 2 =
9 – 5 = 8 – 3 = 10 – 3 =
9 – 6 = 8 – 2 = 10 – 5 =
9 – 4 = 8 – 8 = 10 – 1 =
9 – 8 = 8 – 4 = 10 – 6 =
2. There are 10 students in piano class. 3. There were 10 cigars in a box.
Seven of them are girls. Dad smoked 3 of them.
How many boys are there in this How many cigars remain in the
class? box?
Equation : Equation :
Answer : Answer :
4. In a box there are 10 red candles 5. Paul had 9 marbles.
and 5 blue ones. He lost five in a game.
How many candles are there in How many marbles does he still
the box? have?
Equation : Equation :
Answer : Answer :
18
6. Find the difference. Unit 7
8–5= 10 – 5 = 8–3= 7–5=
9–5= 10 – 6 = 6–4= 1–1=
7–5= 10 – 9 = 5–3= 7–3=
6–5= 10 – 8 = 4–2= 6–2=
7. Pam has 8 lollipops in a box.
She sells two of them.
How many lollipops remain in
the box?
Equation :
Answer :
8. Complete. 4+ =7 3+ =8 8–3=
2+ =9
4+3= 8+ =9 6+ =9 9–6=
2+7= 5+ =7
8+1= 2+ =6 6–2=
5+2=
3+ =5 5–3=
9. There are 9 roses. Six of them are 10. Lee has 2 white mice, 5 hamsters
red and the others are yellow. and 3 rabbits.
How many yellow roses are there? How many animals does he have?
Equation : Equation :
Answer : Answer :
11. Complete with <, > or =.
3+5 3+6 2+4 3+5 4+3+1 3+1+4
4+4 4+1 6+3 4+1 2+2+3 1+2+3
2+6 2+8 5+4 3+3 1+1+5 1+1+3
5+3 3+5 2+3 4+4 3+1+3 3+1+2
19
Measuring Length
This is a centimeter (cm) ruler.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1. Measure the length of each object.
cm
cm
cm
cm
2. Measure the height of each cactus plant.
cm cm cm cm
3. Estimate each of the following in cm. The length of your eraser :
The length of your pencil : The length of a key :
The length of a chalk :
The length of your finger : The length of a lighter :
20
4. Unit 8
Measure the length of Find the length of the knife.
the handle : Equation :
the blade : Answer :
5. Find the length of the lizard.
Equation :
Measure the length of Answer :
the tail :
the body :
the head : 7.
6.
How long is the ribbon? How long is the piece of wood?
We cut off 2 cm. Find the length of the We saw off 3 cm. Find the length of the
remaining ribbon. remaining piece.
Equation :
Equation : Answer :
Answer :
cm
8. Measure in cm the length of each line.
cm
cm
21
Zero Through Nineteen
1. Group in tens. Then complete.
ten and ones ten and ones
Tens : T Ones : O
2. Write the numbers. 3. Break down into tens and ones.
1 T and 3 O 19 T and O
1 T and 0 O
1 T and 7 O 14 T and O
1 T and 6 O
8 T and O
12 T and O
4. Write the number just before and the number just after.
17 9 10 8
18
12 6 15
5. Write from the least to the greatest. 6. Write from the greatest to the least.
11 17 9 12 18 15
13 16 7 19 8 14
7. Susan has one ten of white chocolates
and seven mocca ones.
How many chocolates does she have?
Equation :
Answer :
22
8. Complete the family of facts. Unit 9
10 + 5 = 10 + 3 = 10 + 6 = 10 + 9 =
5 + 10 = 3 + 10 = 6 + 10 = 9 + 10 =
15 – 5 = 13 – 3 = 16 – 6 = 19 – 9 =
15 – 10 = 13 – 10 = 16 – 10 = 19 – 10 =
9. Complete.
10 + = 17 8 + = 18 15 – 5 = 13 – 10 =
16 – 10 =
10 + = 19 4 + = 14 17 – 7 = 12 – 10 =
10 – 10 =
10 + = 11 6 + = 16 14– 4=
10 + = 15 3 + = 13 19 – 9 =
10. Seventeen boys participate in a
race. Seven of them abandon.
How many boys reach the
finishing line?
Equation :
Answer :
11. Circle the numbers whose sum is ten, and then add.
8+7+2= 5+2+8= 9+5+5=
8+6+2=
5+6+5= 7+4+3= 1+9+1=
5+5+5=
4+6+9= 9+1+8=
13 10 + 3
3+2+7= 3+2+8= 16 10 + 5
17 10 + 9
12. Complete with <, > or =.
10 + 5 10 + 3 10 + 7 19
10 + 2 10 + 8 10 + 8 17
10 + 6 10 + 2 10 + 4 14
23
Exercises
1. Find the sum. 2. Add to 10. Then find the sum.
6+3= 10 + 4 = 6+4+2= 5+9+5=
4+6= 10 + 6 =
2+5= 10 + 3 = 7+5+3= 2+4+8=
9+6+1= 8+4+6=
3. Find the difference.
9–3= 10 – 6 = 16 – 10 = 18 – 8 =
7–5= 10 – 4 = 13 – 10 = 17 – 7 =
8–6= 10 – 2 = 19 – 10 = 14 – 4 =
4. Count on by twos from 0 to 18. 5. Count back by twos from 19 to 1.
6. Philip had ten rabbits. He sold 7 7. Nancy must memorize ten poems.
of them. She already knows 6.
How many rabbits does he still have? How many poems must she still
learn?
Equation :
Answer : Equation :
8. Sam is seven years old. Answer :
How old will he be in 3 years? 9. Clara is six years old.
In how many years will she become 10?
Equation : Equation :
Answer : Answer :
24
Unit 10
10. Write in words. 13 : 12 :
17 : 16 :
11 : 15 : 18 :
19 :
14 : = 10 5+
= 10 8+
11. Complete. = 10 12. Complete. 2+
3+ =7 4+ 10 + = 14 = 15
4+ =9 1+ 10 + = 17 = 18
2+ =8 7+ 10 + = 13 = 12
13. Complete with the appropriate sign. 19 10 + 8 10 + 5 10 + 6
12 10 + 6 10 + 3 10 + 2
15 19 10 + 3 15
7 13 10 + 4 14
14. The sum of the two circled numbers is 10. Complete.
16 = 8 + + 15 = 9 + +
+
18 = 4 + + 13 = 5 + +
14 = 7 + + 11 = 6 +
15. Sylvia has knit a pullover. She has
used 6 blue yarns, 3 yellow ones,
and 4 red ones.
How many yarns has she used in all?
Equation :
Answer :
16. Sarah took 2 lollipops from a box of
12. How many lollipops remain in the
box?
Equation :
Answer :
25
Tens
1. Group in tens and write the numbers.
Tens Ones Tens Ones
Digit Digit Digit Digit
How many strawberries are there? How many tens of sweets are there?
How many tens are there? How many ones are there?
2. Complete. 3. Complete.
7 T O 5 T O 20 O T 90 O T
4 T O 8 T O 60 O T 30 O T
4. Write the number of tens and then complete.
6 T 60 sixty
T
T
T
26
5. Count by tens. Unit 11
10 20 70 – 10 =
90 – 10 =
6. Complete with < or >. 90 7. Solve. 60 – 10 =
70
30 50 60 40 50 + 10 =
60 20 80 40 + 10 =
90 30 10 80 + 10 =
8. Write the numerals. 9. Write in words.
seventy : eighty : 50 :
sixty : 90 :
seventeen : thirteen : 30 :
forty :
10. Candles are sold in boxes of ten each.
Elsa needs 30 candles.
How many boxes must she buy?
Kate bought seven boxes.
How many candles does she have?
11. Solve. 30 + 40 = 60 – 40 = 40 – 30 =
50 + 40 = 50 – 20 = 80 – 50 =
60 + 30 = 20 + 30 = 70 – 60 = 90 – 20 =
50 + 20 =
40 + 40 =
12. Vera had 4 tens of butterflies in
her collection. Her father gave her
20 more. How many does she have
now?
27
More than and Less than
1. Complete with:
“more” or “less”.
There are girls than skirts.
How many more are there?
Equation :
Answer :
2. Patrick has 6 photographs. 4. Paul won 4 games.
Meg has 2 more than Patrick. Simon won 9.
How many does Meg have? How many more games did
Simon win?
Equation :
Answer :
3. Joan ate 8 biscuits.
Sylvia ate 5.
How many more biscuits did Joan
eat?
5. Monica is 7 years old. 6. Gina has 4 pencils.
Bill is 3 years older. Susan has 5 more than Gina.
How old is Bill? How many pencils does Susan have?
7. Alice drew 7 rabbits. 8. Andrew caught 7 butterflies.
Pamela drew 10. Melissa caught 2.
How many more rabbits did How many more butterflies did
Pamela draw? Andrew catch?
28
Unit 12
9. Complete with:
“more” or “less”.
There are cats than mice.
How many less are there?
Equation :
Answer :
10. Carol has 7 dolls. 11. Sam ate 4 peanuts.
Terry has 3. Roger ate 10.
How many less dolls does Terry have? How many less did Sam eat?
12. Pamela has 8 balloons. 13. Sally has 10 toys.
Patricia has 5 less. Dolly has 4 less.
How many does Patricia have? How many toys does Dolly have?
14. Charles and Andrew went fishing. 15. Sharon and Nancy counted their
Andrew caught 7 fish. copybooks. Sharon had 10 copybooks.
Charles caught 3 more. Nancy had 2 less.
How many fish did Charles catch? How many copybooks did Nancy
have?
How many fish did they catch in all? How many copybooks do they have
in all?
29
Measuring Length
This is a centimeter (cm) ruler.
01 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1. This pencil is between 14 cm and 15 cm long.
The length of this pen is
The length of this paintbrush is
The height of this candle is
The length of this quill is
2. Measure each segment, then complete the tables.
A BC DE
[AB] is [BC] is
[CD] is [DE] is
[CE] is [AC] is
30
3. Measure the length of each pencil. Unit 13
cm 4. Measure the height of each flask.
cm cm
cm
Which is the longer pencil?
Which is the taller flask?
How much longer is it? How much taller is it?
Equation : Equation :
Answer : Answer :
5. Measure each segment. 6. Measure each segment.
A DM N
C Q
B P
What is the sum of their lengths?
Equation : Find the difference of their lengths.
Answer : Equation :
Answer :
7. Trace the following segments in your copybooks.
[AB] is 7 cm long [MN] is between 6 cm and 7 cm
[CD] is 4 cm long [PQ] is between 12 cm and 13 cm
[EF] is 10 cm long [RS] is between 2 cm and 3 cm
[GH] is 6 cm long [UV] is between 4 cm and 5 cm
[KL] is 13 cm long [ZT] is between 10 cm and 11 cm
31
Addition and Subtraction
1. Complete. 10 – 1 = 10 – 4 = 8 + = 10
9–2= 8–4= 4+ = 9
6+3= 8–7= 4–4= 9+ = 9
2+5= 6–3= 7–3= 1+ = 6
5+5= 8–8= 8–3= 3+ = 8
8+0= 9–0= 2+ = 7
7+3= 10 – 7 = 4 + = 10
4+6= 7–4= 10 – 6 =
3+6=
2. There were 8 flowers in a vase. Three
of them withered and were thrown
away.
How many are there now in the vase?
3. George has 3 rabbits in one cage 4. Andrew took 4 biscuits from a box;
and 6 in another. Charles took 6.
How many rabbits does he have? How many did they take in all?
He gave 2 rabbits to a friend. The box contained 17 biscuits.
How many rabbits does he have How many remained in the box?
now?
5. Complete the tables. + 5 10 3 +3 5
+3 5
1
68 10
48 56
32
17 – (4 + 3) = 17 – 7 = 10 Unit 14
(8 – 4) + 5 = 4 + 5 = 9
6. Study the example, then solve. (10 – 2) – 5 =
(13 – 10) + 4 =
10 – ( 3 + 4) = ( 4 + 5) + 10 =
7 + (10 – 8) =
15 – ( 9 – 4) = (10 – 1) – 6 =
(14 – 10) + 4 =
10 – ( 2 + 3) = ( 7 + 2) + 10 =
5 + (10 – 6) =
16 – ( 9 – 3) =
7. Follow the instructions and color the balloons.
4
7–1 4+3 7–3 6–2
5
6 9–4 8–3 1+5 9–2 8–4
7
8. A toys salesman had 10 tops.
He sold 3 of them.
How many tops does he have now?
9. Twelve guests came to
Charlotte’s party, but she had
only 10 pieces of cake.
How many more pieces did she need?
33
Zero Through Ninety-Nine
Tens Ones
Digit Digit
There are 83 sticks.
1. Complete.
90 + 3 = = =
8 T and 6 O
2. Write the numerals.
sixty-seven : ninety-four : seventy-eight :
sixty-nine :
seventy-three : eighty-one : eighty :
fifty-one : ninety-one :
3. Write in words. 89 :
61 :
97 : 72 :
76 :
57 :
4. List the numbers from 58 to 72.
34
Unit 15
5. Complete the equations.
30 + 6 = 80 + = 85 7 + = 77 95 – 5 =
70 + 3 = 50 + = 59 6 + = 96 82 – 2 =
90 + 7 = 20 + = 28 3 + = 43 78 – 8 =
6. Write the numbers. 7. Break down into tens and ones.
9 T and 6 O 68 T and O
7 T and 9 O 74 T and O
8 T and 2 O 57 T and O
6 T and 4 O 45 T and O
8. Write the number just before and the number just after.
90 89 95
50
59 61 81
37 70
9. A gardener had 97 apple trees in his
orchard. He cut down 7.
How many apple trees are there still?
10. Philip has 40 marbles; Frank has 5
tens of marbles. How many marbles
do they have in all?
11. List the numbers from 75 to 98.
35
Inside and Outside
1. Color the drawings inside the red line.
2. Color the drawings outside the blue line.
36
Unit 16
3. Color the drawings inside both the red and the black line.
4. Color the drawings inside the black line and outside the red one.
5. Count by twos and join the numbers from the least to the greatest.
51 53 57 1
49 55 3
59
61 5
63
41 47 65
39 43 31 27 19 17 7
29
45
33 15 9
37 13
35 11
25 21
23
37
Addition and Subtraction
Finding the sum of two 8 + 4 = 8 + 2 + 2 = 12
numbers.
First, add to ten.
1. Add to 10. Then find the sum.
9 + 5 = 9 + + = 8 + 5 = 8 + + =
7 + 5 = 7 + + = 6 + 6 = 6 + + =
8 + 3 = 8 + + = 9 + 4 = 9 + + =
7 + 4 = 7 + + = 8 + 6 = 8 + + =
2. There were 15 eggs in the fridge. 3. There are 7 roses, 5 tulips, and 3
Mother used 10 of them to make a daisies in a vase. How many
cake. How many eggs remained? flowers are there in the vase?
38
Unit 17
4. Complete.
7 + 7 = 10 + = 8 + 6 = 10 + =
9 + 3 = 10 + = 8 + 3 = 10 + =
6 + 5 = 10 + = 9 + 6 = 10 + =
5. Complete. = 8 + 7 = 10 + =
= 9 + 2 = 10 + =
9 + 4 = 10 + = 8 + 8 = 10 + =
7 + 4 = 10 +
9 + 8 = 10 +
6. Toni has 10 fish. 7. Rita has 10 rabbits. Eight of them
He receives 7 more. are white and the others grey. How
How many fish does he have now? many grey rabbits does she have?
8. Fred had 17 hens in his henhouse.
The fox ate 3 of them.
How many hens does he have now?
39
Polygons
1. One angle of the polygon has been
colored. Color the other angles of
the polygon.
Write the number of its angles.
2. Color the angles of each of the polygons below. Then complete the table.
ab c
d
f
e
gh
Polygon abcde f gh
Number of sides 40
Number of vertices
Number of angles
Unit 18
3. Measure the length of each side of the polygons below. Then complete.
CB
PN
D
[AB] = A Q M
[CD] = cm [BC] = [NP] =
[MN] = [QM] =
[DA] = [PQ] =
S
F
G
T R
N
E
[EF] = [ST] = [RS] =
[FG] = [GE] = [TR] =
CB
P
D A Q M
[BC] =
[AB] = [DA] = [MN] = [NP] =
[CD] = [PQ] = [QM] =
41
Addition and Subtraction
1. Find the sum.
7 + 7 = 10 + = 6 + 6 = 10 + =
9 + 9 = 10 + = 8 + 8 = 10 + =
2. Add. 4+4= 9+9=
7+7= 5+5=
8+8= 1+1= 6+6=
2+2=
3+3= 4. Jim had ten balloons. His brother
3. Sheila has 9 candies in a bag gives him 6. How many balloons
does he have now?
and as many in another one.
How many candies does she have?
5. Match. 6. Complete.
7+7 6+6 9+9 8+8 8 + = 16 9+ = 10
5+5 6 + = 12 9+ = 18
5 + = 10 2+ = 10
4 + = 10 7+ = 14
6 + = 10 2+ =4
8 + = 10 4+ =8
7 + = 10 3+ =6
42
7. Study the drawings. Then complete the equations. Unit 19
8+8= 8+9= 9+8=
7+7= 7+8= 8+7=
6+6= 6+7= 7+6=
8. A box contains 7 bottles of orange 9. Meg has picked 15 flowers: 7 are red
juice and 6 of pineapple juice. and the others are yellow.
How many bottles are there in the How many yellow flowers has she
box? picked?
10. Add. 6+6= 7+7= 8+8= 9+ 9=
6+7= 7+8= 8+9= 9 + 10 =
5+5= 7+6= 8+7= 9+8= 10 + 9 =
5+6=
6+5=
11. Sami has 7 yellow marbles, 8 green, 12. Ken had 10 rabbits.
and 3 red ones. He sold 3 of them.
How many marbles does he have? How many rabbits does he still have?
43
Exercises
1. List the numbers from 68 to 83.
2. Write the numerals. 3. Complete with < or >.
eighty-nine : 23 32 77 67
seventy-three : 54 72 95 39
ninety-eight : 39 40 75 72
4. Complete. 5. Find the difference.
30 + = 39 46 – 40 = 7–5= 6–4=
90 – 30 =
40 + = 60 75 – 5 = 8– 2= 9– 3=
30 + = 70 10 – 6 = 10 – 2 =
6. Complete with 10s. 7. Add.
50 = 10 + 10 + 10 + 10 + 10 + 4 =
70 = 10 + 10 + 10 + 9 =
40 = 10 + 10 + 10 + 10 + 10 + 6 =
8. Monica cut a ribbon into 3 pieces
7 cm, 8 cm, and 3 cm long.
How long was the ribbon?
9. There were 19 trees in an orchard. 10. Kate has 10 goldfish in a bowl.
The gardener cut down 4, then 5. Alice has 2 less.
How many trees did he cut? How many goldfish does Alice have?
How many trees are there now? How many do they have together?
44
Unit 20
11. Write the numerals. 12. Write in words.
9 tens : 91 :
77 :
3 tens and 4 ones : 86 :
7 tens and 2 ones : 14. Write from the least to the greatest.
13. Complete with <, > or =. 50, 70, 20, 60 :
67, 60, 50, 53 :
80 + 4 90 70 + 3 37 87, 84, 88, 85 :
20 + 9 29 90 + 8 98
50 + 4 52 30 + 9 42
15. Find the sum. 16. Find the difference.
6+6= 7+7= 17 – 7 = 18 – 10 =
8+8= 9+9= 10 – 9 = 80 – 10 =
17. Add to ten. Then find the sum. 18. How many tens are there in:
7+5+3= 1+9+7= 57 : 32 :
8+4+2= 5+6+5= 61 : 86 :
9+5+5= 4+8+6= 40 : 75 :
19. Jane had 5 tens of beads. 20. My new pencil was 17 cm long.
She bought 40 more beads. After sharpening it, it became
How many does she have now? 7 cm shorter. How long is it now?
21. John bought a plant 60 cm high.
One week later the plant became
67 cm high.
How much did the plant grow?
45
Zero Through Ninety-Nine
1. Group by tens and then write the numerals.
How many tens are there? Give the ones digit :
Give the number of ones : Give the number of tens :
Give the ones digit : Give the tens digit :
2. Arrange from the least to the greatest. 3. Arrange from the greatest to the least.
69 75 38 57 42 29 92 75 60 87
4. Write the numerals. 5. Break down into tens and ones.
8 T and 4 O 93 T and O
4 T and 8 O 39 T and O
6. Write all the two-digit numbers 7. 58 all the two-digit numbers
that have 6 as their tens digit. that have 4 as their ones digit.
46
8. Complete the family of facts. Unit 21
30 + 7 = 60 + 9 = 80 + 2 = 70 + 8 = 90 + 7 =
7 + 30 =
37 – 7 = 67 – 60 =
37 – 30 = 49 – 40 =
83 – 80 =
9. Complete the equations.
50 + = 54 8+ = 28 39 – 9 =
80 + = 86 7+ = 47 92 – 2 =
70 + = 75 2+ = 62 64 – 4 =
10. In a class there are 3 tens of girls and
7 boys. How many students are there in
this class?
11. Complete with <, > or =. 40 + 8 47 70 + 6 67
50 + 9 49 90 + 3 95
72 35 54 62 60 + 7 67 80 + 7 87
93 97 90 89
68 86 72 77 13. At birth, a baby was 50 cm tall.
12. Martha is 96 cm tall. He grew 9 cm in just one month.
How tall is he now?
Paul is 90 cm tall.
What is the difference in their height?
14. List the numbers from 67 to 89.
47
Addition and Subtraction
1. Add to ten. Then find the sum.
8 + 3 = 8 + + = 9+3= 9 + + =
6+6= 6 + + =
6 + 5 = 6 + + = 8+4= 8 + + =
7+5= 7 + + =
9 + 2 = 9 + + =
7 + 4 = 7 + + =
2. Add: begin with the greater number.
8+3= 3+9= 4+8= 3+7=
6+4= 4+7= 6+3= 2+9=
7+5= 6+5= 6+6= 8+2=
3. In an orchard there are 4 cherry trees
and 7 pear trees.
How many trees are there in all?
4. Complete the equations.
7 + = 10 9+ = 10 4 + = 10 5 + = 10
7 + = 11 9+ = 11 4 + = 11 5 + = 11
7 + = 12 9+ = 12 4 + = 12 5 + = 12
5. Complete. 9 12 10
9+ 3+
11 4+ 4+ 6+
2+ 7+ 2+
5+ 6+ 6+ 9+
7+ 1+
3+ 48
9+