exercise 1.schoolnova.org/classes/ay2015/mat21be/mat21be-2015-10-04-file1.pdf · exercise 1. easy...

Homework #1

Exercise 1. Easy Difficult Interesting Boring

In your notebook write down all possible equalities using the following numbers:

a) 2, 4, and 6 b) 3, 15, and 18 c) 21, 35, and 56

Which numbers are the whole? Which numbers are parts of the whole?

Figure out the next two numbers in the series:

a). 10, 30, 50, ____, ____ b). 9, 29, 49, ____, ____

c). 23, 34, 45, ____, ____ d). 18, 15, 12, ____, ____

Fill in the blanks using each value of a.a 0 6 9 12 30 41 53 74 85

a + 4 4 13

c 12 27 36 49 54 68 75 82 93

c - 12 63

Color the chain using red and blue. Circle the mistake in the chain.

a) Continue the pattern

⨉

⨉⨉

⨉

⨉⨉

⨉

⨉⨉∘ ⨉∘ ∘

⨉

⨉

⨉

⨉⨉

⨉

⨉⨉

⨉

⨉⨉∘

⨉

⨉

r

b

r

b

rb b

rb

br

b

rb

br b

b

1

b) Draw your own pattern using crosses and circles.

An ornament has painted on it 12 circles, 6 squares, and 9 rectangles which are not squares. 24 out of these shapes are big and the others are small. How many small shapesare painted on the ornament.


Color the outside of the first cup yellow and the inside of the cup green. The other drawings show the same cup that has been turned. Draw the flower on each cup and color it correctly. Make sure the flower is facing the right way.

Use a red pencil to draw points where a straight line intersects a curved line.

2


Fill in the missing numbers in the

blank boxes to make all equalities correct.


Read the problems. What makes them similar? What is the differencebetween them? Fill in the drawing to help you solve these problems:

a) In the Fall Katia collected 11 maple leaves and 4 oak leaves. How many leaves did Katia collect?

b) In the Fall Katia collected 11 maple leaves and 4 more of oak leaves than maple leaves. How many leaves did Katia collect?


A. For a holiday party teachers bought 25 red balloons and bought 20 of each blue,green and yellow balloons. They gave 32 baloons to their students and used the rest todecorate the gym. How many balloons were used to decorate the gym?

B. Make up your own problems illustrated by the drawings and write them in yournotebook.

- 5 =

+ + :

⨯ = 3

= = =

9 - =

?

M O11 4

?

M O11 11 +

3

a). b).


Two of the three boxes have the same amount of balls and one of the boxes have twice as many than the other two. Circle the two that have the same amount. Then, write an equation to show how many balls are in the last box.

L balls L balls U balls


Make up your own secret symbols to encrypt the equalities. You may choose from the symbols below or make up your own.

2 + 2 = 4 6 – 1 = 5


Look at the shapes and their contents. Then, write the names of each set into the table.

A

Q

PC

W

Tuesday SundayFriday Wednesday

MondaySaturday Thursday

1 57

4 89

- set of

- set of

- set of

∆ ⊥ ⊜ ∀

∾ ⍉ ⌾ ∃

42 + 16

Olga Natasha18 ?

36 + 53

I II III40 17 ?

4


Find the picture that does not belong and circle it.


Color the shapes the correct colors.

Replace the shapes according to the rules below and then redraw the table.

5

Homework #3


A. Perform the calculations:

52 + 2 = 63 – 21 = 26 + 13 = 47 + 32 = 85 – 14 =

52 – 2 = 63 + 21 = 26 – 13 = 47 – 32 = 85 + 14 =

B. In your notebook, solve the equations:x + 8 = 12 x – 6 = 9 14 - x = 5

C. In your notebook, solve the problems:

a) One side of a triangle is 7 cm, its second side is 8 cm, and the third side is 4 cm longer than the second side. Find the perimeter of the triangle (the sum of all sides). You might want to draw a triangle first and label its sides.

b). The perimeter of a triangle is 9 dm 8 cm. One side is 3 dm and the second side is 26 cm. Find the length of the third side. Try to make a drawing first.

D. Arrange the items on the shelves in different ways.

E. In your notebook draw intersecting line segments AB and CD. Label the point of intersection with point E. Which segments do you see on the drawing? Write down theirnames.

F. If Dima buys a box of candy he'll have $1 left. If he were to buy two boxes of candy,he'll need another $3. How much does a box of candy cost?

6

G. Calculate. Then use the answers to decipher the characters from the Jungle Book.


Plot an angle ∠AOB so that point K would be ...a) inside the angle ∠AOB. Don't forget to label points A and B.

______________________________________________________________________b) outside the angle ∠AOB Don't forget to label points A and B.

5+45E

71+9O

37+3Y29+1S

8+52K 12+6R

36-4T86+4M 7+63N

90 80 70 60 50 40 30

K

O

O

K

K

O

O

K

K

O

O

K

K

O

O

K

7


Use the most efficient way to perform the following calculations.

345 + 82 – 56 – 17 + 67 – 9 – 67 + 9 – 345 + 17 + 3 – 82 + 56 =

67 – 13 – 8 + 78 – 4 – 67 + 8 – 78 + 567 + 13 + 4 – 567 + 5=

2345 – 678 + 16 – 89 + 678 – 560 + 89 + 1 – 2345 + 560 - 16=

Exercise 4. Easy Difficult Interesting BoringLook at the shapes.

Inside of the diamond draw one of the shapes about which you can say that it is not not red, and not round. Then, perform the indicated task:


Circle the following pairs ☐◯ in the chain below.

☐ ◯ ◯ ☐ ☐ ◯ ☐ ◯ ◯ ☐ ☐ ☐Perform the following substitution “ if ☐◯ then → ◯☐” and draw the second chain below:In the second chain find the following pairs “◯☐” and do the following substitution: “ if ◯☐ then → ☐”. If you did everything correct you will see seven squares.

If then →

If then →

8


Write the numbers of the plates into the Venn diagram. Count how many numbers are in each set and write your answers in the squares inside of the table.

1

2 3 4

5 6 7

8 9 10

- Plates on the picture

- Plates with apples

- Plates with pears

- Plates with both apples and pears

- Plates with fruits (either apples or pears)

- Plates without fruits 3

Sets

9


Draw the shapes after a sequence of transformations.

Draw

Draw

OR

IF , then

IF , then

OR

IF , then

IF , then

Look at the shapes below.Draw any of them inside of

and then do the task.

If

then

If not

then

If

then

If not

then

10


Find the answers to the questions on the “magic” number line.

There are Z apples in the bowl and another is on the plate. How many apples are on thetable in all?

There are J bananas on the table. One of them is on the plate and the rest are in the box.How many bananas are in the box?

The examples are missing ordinary digits 1 and 2. Use the “magic” number line to helpyou write them in.

Write the magic numbers from the examples into the number line.

applesU Z J Y Q

𝝯 U Y J

U + ⬜ = Y Y - ⬜ = UU + ⬜ = J Y - ⬜ = �

𝝯 + 1 = Z 𝝯 - 1 = PZ + 1 = L L - 1 = J

⬜ ⬜ 𝝯 ⬜ ⬜

Banana

J Banana

U Z J Y �

11

Homework # 5


A. Decode the name of the fairy tail by Hans Christian Andersen:

B. Perform the calculations.

C. Find the answer without calculating it:

a). 8 + 7 – 7 + 7 – 7 + 7 – 7 + 7 – 7 =

b). 9 + 12 – 12 + 8 – 8 + 26 – 26 + 35 – 35 =

D. In your notebook, solve the equations and check your answers:x + 13 = 20 50 – x = 22 x – 45 = 25

50-4E

50-14A

90-25D80-6T

80-16I 90-15L

50-24O80-26M 90-5R

75 64 74 74 75 46

54 46 85 54 36 64 65

3+8

-7 +9

-6

+7

-9+6

-8 32

+8

+16 -42

-2

-4

+9+3+12

12

E. In your notebook, solve the problem:Katie and her mom were peeling potatoes. Katie peeled 6 potatoes while her mom peeled 2 more than Katie. How many potatoes did they peel together?

H. There were 9 doughnuts on one plate and 7 on another. Dasha took 2 doughnuts and Ilia took 3. How many doughnuts were left on the plates?

Exercise 2. Easy Difficult Interesting BoringUse a ruler to plot ray OK so that ray OB would be:

a) inside the angle ∠AOK

b) outside the angle ∠AOK

O

O

O

O

O

A

A

A

A

B

B

B

O OO

O

O

B

BB

B

BB

A

A

A

A A

O

A

D I Left

A

B

B

13


Each shape encodes a number. Your task is to decode the numbers. The same shapes may correspond to different numbers in the tasks 1 and 2.


Connect the pears to the baskets according to the rules.

Check the correct statements among the following:____a) There are only big pears in the left basket.____b) Some pears in the middle basket are yellow.____c) There is only one yellow pear in the right basket.

+ =

✕ =

=:

✕ = 18

✕ = 4

21 - = 7

1 2

14

____d) All pears are red in the left basket.____e) All pears are yellow in the middle basket.


Which view from the top corresponds to the pyramid on the left?


Each rectangle is split into two. The number on the bottom is two times larger than the number on the top. Fill in the missing numbers.


Fill in the missing numbers in the merry-go-round.

10

7

4

8

8

9

14

3

6 – 4 =

+ 7 =

– 3 =

+ 1 =

– 4 =

+ 5 = – 2 =

15


Choose any shape from below to draw in the first square. Then perform the task.

Shapes:


Look at the table to see how many kittens should belong to each set. Color the kittens and insert the missing numbers into the table. On the left side of the table, color the correct areas to match the set.

If not then ➙

If then ➙

Sets

- kittens on the drawing

- red kittens

- kittens with green eyes- red kittens with green eyes- either red kittens or with green eyes- red kittens without green eyes- neither red nor with green eyes 1

3

5

7

16


A. How many stars are inside the angle ∠PAT? _____ List them: ___________

B. Complete the following drawing to make one of the following statements correct andone incorrect:

___1) There are three stars inside of the angle ∠PAT.

___2) There are two yellow stars inside of the angle ∠PAT.

When you finish the drawing, write “T” in front of the true statement and “F” in front of the false one.

Q

F

R

A

P

T

A

P

T

17

Homework #7


A. In your notebook, solve the equations. Do not forget to check your answers.

x – 9 = 4 x + 25 = 40 63 - x = 27

5 + x = 52 50 – x = 12 x – 48 = 24

B. Perform the calculations and decode the name of the story by the Sami people from Lapland.

C. Build the shape out of 17 sticks.

Remove one stick to end up with 5 equal squares and nothing else.

How many solutions can you find?

D. In your notebook use the grid lines to plot four 2 cm 2 cm squares. Split these squares into four identical pieces each in different ways.

9 23 8

2 51 7

8 43 7

7 15 6

6 24 4-- - --

7 82 9

4 6 8

5 12 7

4 23 6

5 3 7-- - --

S T R U I

H F E N O

54 18 54 8 24 47 46 38 54 15 68 49 24 8 49 24

18

E. Perform the calculations and decode the names of popular fairy tales and stories. Have you read any of them?

57+15C

50-36B

29+31A

54+9I

87-81L85-7D

40-39S

26+45V

13+7R

7+6P

59-32O75-20U

20-18G76-42K

48+4M38+43N

62+28F36+4E

74-64H78+15T

60 81 78 93 10 40 13 40 6013 20 63 81 72 40 1 1

72 6 40 71 40 20 6 63 93 93 6 40 93 60 63 6 27 20

90 27 55 20 1 34 63 6 6 90 55 6 14 20 27 93 10 40 20 1

2 27 60 93 1 40 60 20 1 27 90

34 63 81 2 52 63 78 60 1

19

F. Vladimir and his dad have been picking potatoes for three days. On the first day they picked 12 buckets, on the second day 13 buckets, and on the third day as much as they picked in the first two days altogether. How many buckets of potatoes did they pick in these three days?


A. Using the right angle template plot right angles so that one of their sides would go along the given rays, while another side goes through any of the given points.

A

B

C

D

K

? bI II III

12 b 13 b I + II

20

Plot right angles such that one of its sides lies on a straight line and the point K lies:a) inside of the angle.

b) outside of the angle.

K

K

K

K

K

K

K

K

21

Label the vertex of each angle with letter O. Label a point on one side of each angle as A and on the other side as B.Exercise 3. Easy Difficult Interesting Boring

Look at the drawings. Write the words YES and NO into the table.

Drawing number ① ② ③ ④There isn't a cat.

There is both a cat and a dog.

There is an animal.

There are no animals.

Write the numbers of the drawings into the shapes. What should the drawings 5 and 6 look like? Describe them in words. Color the area that have both a cat and a dog.

5

6

Sets- of drawings

- drawings with cats

- drawings with dogs

- drawings withclouds

22


Figure out which rules are used to fill in the tables and fill in the empty boxes.


Who weighs how much?

The cat weighs ….................... kg The turkey weighs …................ kg

The dog weighs …................... kg The pig weighs …................. kg

The goat weighs …................. kg The cow weighs ….................... kg

1 2 3 4

1

2 4

3 4 7

4

2 4 5 7

1 17

3 35

6

8 85

34

10 kg

23

Homework #9


A. Calculate. In each column find the example that does not belong.

6 + 30 = 28 + 40 = 59 + 31 = 17 + 65 =

36 – 6 = 68 – 28 = 59 – 31 = 82 – 17 =

36 – 30 = 68 – 0 = 90 – 59 = 82 – 65 =

36 – 36 = 68 – 40 = 90 – 31 = 82 + 17 =

B. Make all four possible equities using the numbers 8, 74, 82.

Explain how to check your answers using addition and subtraction.

C. Perform the calculations:

16 – 9 + 23 = 74 – 24 – 8 = 56 + 14 – 45 = 39 + 53 – 28=

D. Write in the missing digits and check your answers.

8 + 7 4 = 8 2

3 4 2 5

26 89

5 8

7 5

926 7

4 79 3

++ + ++

-- - --

Inspection

24

E. Decode a quote from a poem from “Alice in Wonder Land”.

Which letter was not encoded?

Make your own example to encode this letter.

________________________

Make sure that the answer in your example does not repeat any other result. Explain why that is important.

40-1E

40-10A

75+9D11-9H

79+1I 65-7L

60-23W12-8B 42+12R

52+30F

64+6C

94-33Y17-9T

8+30V 29+15N

36-30O

95-5P

37+13U

68+0M

47-18S

58 60 8 8 58 39

? 30 8 2 39 54

39 38 39 54 61

2 6 44 39 61

2 6 37 84 6 8 2 8 2 39

4 50 29 61 4 39 39

80 68 90 54 6 38 39 39 30 70 2

4 50 29 61

29 2 80 44 2 44 ?

2 6 50 54

4 50 29 61

30 44 84 30 58 58

2 6 37 84 30 61

82 54 6 68 6 90 39 44 80 44 ?

82 58 6 37 39 54

25

F. Find the number that does not belong to this group: 4, 13, 22, 35, 40. Explain why.

G. In your notebook, solve the problem and draw a corresponding drawing.

Winnie the Pooh, Piglet, and Christopher Robin were picking acorns in the forest. Piglet found 20 acorns and Winnie the Pooh picked 17 acornsmore than Piglet. Christopher Robin picked 5 less than Winnie the Pooh.How many acorns did they pick altogether?

H. In your notebook, write a solution for the problem:

A group of 68 tourists were traveling in a three car train. There were 25 tourists in the first car. In the second car there were 3 tourists more than in the first car. How many tourists were in the third car?

I. Insert the missing digits. Explain if it is impossible to do.

☐ + 4 = ☐ 3 ☐ - 9 = ☐ 5 ☐ + ☐ = ☐ 8

7 ☐ - ☐ = 5 ☐ ☐ 2 + 7 ☐ = ☐ 0 ☐ - ☐ = 9


A. Plot 5 line segments whose ends are the points in the drawings to obtain 5 triangles in each drawing. Write down the names of the triangles.

① ②

Triangles ①: _______________________________________________________

Triangles ②: _______________________________________________________

I II III

A

B C

DA

B C

D

26

B. Connect the appropriate points to obtain:

a) a triangle with a right angle.

b) a quadrilateral with a right angle.

c) a quadrilateral with two right angles.

A

B

CD

EF

A

BC D

E

F

A

B

CD

E

F

27

Label all right angles with numbers.Exercise 3. Easy Difficult Interesting Boring

Rainbow flowers can grow petals of one, two, or even three colors. In total there are seven kinds of rainbow flowers.

Draw the shapes from the Venn diagram into the appropriate lines of the table. Correctly color the petals of the flowers in the Venn diagram.

Use green stripes to color the area of the set of flower which have green OR yellow petals.

Use red stripes to color the area of the set of flowers that have NEITHER green NOR yellow NOR blue petals.

Sets of flowers

- with orange petals

- with blue petals

- with red petals

- with green petals

- with yellow petals

7

28


Draw the axis of symmetry on every home in which you can find it.


Jack has 12 pencils and Greg has 6 pencils more than Jack. How many pencils do they have altogether?

During the break Katie ate 12 crackers, while Lisa ate 3 crackers less than Katie. How many crackers did Lisa and Katie eat altogether?

Michael took 8 pieces of chalk from the board. Leo took 4 pieces less than Michael. How many pieces of chalk out of 23 were left at the blackboard?

29

Homework #11


A. Express in centimeters.

4 m 2 dm 8 cm = cm 1 m 7 dm 4 cm = cm

5 m 3 dm 1 cm = cm 6 m 9 dm 3 cm = cm

B. Express in meters, decimeters, and centimeters.

828 cm = ☐ m ☐ dm ☐ cm 935 cm = ☐ m ☐ dm ☐ cm

316 cm = ☐ m ☐ dm ☐ cm 682 cm = ☐ m ☐ dm ☐ cm

C. In your notebook, solve the following problems.

i). On the first day a sparrow caught 27 mosquitoes, on the second day it caught 8 mosquitoes less than on the first day. On the third day the sparrow caught as many mosquitoes as on the two previous days together. How many mosquitoes did the bird catch during the three days?

ii). Papa penguin weighs 42 kg and his son weighs 23 kg less. How many kilograms do they weigh together?

iii). Winnie the Pooh has 75 liters of honey in two barrels. In the first barrel there are 28liters. How many more liters of honey are in the second barrel when compared to the first?

D. In your notebook write: a) all possible three-digit numbers that use the digits 2, 8, and 3.Write in increasing order the three-digit numbers that can be made from the digits 7, 0, 9 if … b) digits in the numbers may not repeat?c) digits in the numbers may repeat?

I II III

30

E. Express the numbers in tens and units and the distances in decimeters and centimeters.

405 = ☐ t ☐ u 807 = ☐ t ☐ u

405 cm = ☐ dm ☐ cm 807 cm = ☐ dm ☐ cm

F. Measure the edges of the quadrilateral with a ruler and find its perimeter.

AB = ☐ cm BC = ☐ cm

CD = ☐ cm AD = ☐ cm

☐ cm + ☐ cm + ☐ cm + ☐ cm = ☐ cm

G. A teacher purchased 30 sheets of red paper, as well as 25 sheets of each yellow and green paper. In the first week of school her students used 22 sheets and in the second week they used 16 more sheets than in the first week. How many sheets of paper were left after two weeks?

H. In your notebook, write and solve your own problems using the drawings below.


A. Split each square along the lines into 4 identical parts so that the shapes of the piecesobtained in one drawing are different from those in the other drawings:

A B

CD

I II left

?

16 l 16 l + 22 l

$80

$36 $?by $?

31

B. Plot 2 line segments within each triangle to obtain:a) 5 trianglesb) 6 triangles

Label all of the points you drew and write down the names of the triangles in each drawing.

a) b)

1 1

2 2

3 3

4 4

5 5

6

C. Circle the quadrilaterals that are called rectangles. Color the rectangles that are called squares.

A

B

C A

B

C

a) b)

12 3

4 6

78 9

11

10

32


There were 9 roses in a vase. A boy gave 3 roses to his grandma, 3 roses to his mom, and 3 roses to his sister. There were 3 roses left in the vase. How could that be? Draw a picture.


Fill in the right table by using the left table.

Color the table according to the drawing.

☯

☭

✈

☢

⚐

☺

☯

☢ 5

☺

☭ 1

⚐

✈

33


Figure out the pattern and write the next three numbers.

3, 6, 9, 12, ______ , ______ , ______

66, 60, 54, ______, _______, _______


Help the bear pick mushrooms according to the scheme.

Check the correct statements:

_____ The bear picked all of the mushrooms.

_____ The bear left behind some of the mushrooms.

_____ The bear only left behind one mushroom.

_____ The bear picked 6 mushrooms.


Color all shapes with red and blue pencils so that some circles would be red and only one square would be blue.

25-10 19+18 30-6

27+16

25-856-45

31-28

15 3 11 37 24 43 17

31-12

34


A little dragon had a week long vacation where he was playing badminton and soccer with other dragons, and biking and fishing by himself. Each day on the calendar is marked with his activity.

Look at the calendar and fill in the table with YES and NO.

Day Mon Tue Wed Thu Fri Sat Sun

Badminton AND fishing

Badminton OR fishing

Played with others

Was by himself

Write the weekdays on the drawing

□ Days

◯ Badminton

△ Fishing

Monday Tuesday Wednesday Thursday

Friday Saturday Sunday

35


A. Draw more skips of 3 on the number line.

What do the numbers in red represent?

Use these skips to perform the following multiplications:

3 ⨉ 5 = 3 ⨉ 8 = 3 ⨉ 6 = 3 ⨉ 2 =

3 ⨉ 4 = 3 ⨉ 7 = 3 ⨉ 9 = 3 ⨉ 3 =

How many skips are needed?

3 ⨉ ___ = 24 3 ⨉ ___ = 18 3 ⨉ ___ = 21 3 ⨉ ___ = 6

3 ⨉ ___ = 9 3 ⨉ ___ = 15 3 ⨉ ___ = 12 3 ⨉ ___ = 3

B. Draw more skips of four on the number line below.

Use these skips to multiply:

4 ⨉ 2 = 4 ⨉ 6 = 4 ⨉ 8 = 4 ⨉ 5 =

4 ⨉ 4 = 4 ⨉ 7 = 4 ⨉ 3 = 4 ⨉ 1 =

How many skips are needed?

4 ⨉ ___ = 12 4 ⨉ ___ = 20 4 ⨉ ___ = 16 4 ⨉ ___ = 8

4 ⨉ ___ = 28 4 ⨉ ___ = 32 4 ⨉ ___ = 24 4 ⨉ ___ = 4

0 5 10 15 20 25 303 6 9 12 18 21 24

3 3

0 5 10 15 20 25 304 8 12

4

36


A. Amy brought 28 pencils to the class. Nick took 3 pencils, Mike took twice as much, and Natalie took 3 times more than Mike. How many pencils were left?

B. After 3 cars left the parking lot 6 cars were left. How many cars were in the lot originally?

C. Agata brought 2 flash cards to class. Sophie brought 2 flashcards more than Agata. How many flashcards did the students bring to the class if Daniel brought another 6 flashcards?

D. There were 10 passengers on a bus. At the first stop 9 passengers got on the bus. At the second stop 5 passengers got on the bus and 3 passengers got off. How many people were on the bus after two stops including the driver?

E. A taxi driver drove 3 kilometers from the airport to the bus station. Then he drove to the train station, which is 2 kilometers further away than the airport. Finally, he drove to the garage, which is 3 times further from the train station than the bus stop. How many kilometers did the taxi drive since it left the airport and arrived in the garage?

F. During play time Lisa, Katie, and Jack hid themselves under their desks. Jack spent 2 minutes there and Lisa sat under her desk twice as long as Jack. Katie spent 3 minutes longer than Lisa under her desk. How long did Katie spend under her desk?

Ni M Na L

A

BT

G

JLK

37

Homework #13


A. Calculate.

499 + 6 = 498 + 3 = 500 – 1 =

502 – 4 = 505 – 5 = 504 – 6 =

B. In your notebook, write your own problems based on the drawings and solve them.

C. Decode the encrypted sentence.

D. In your notebook, solve the equations and check your answers.

351 + x = 479 x – 521 = 213 875 – x = 105

499 502

$500 + $100Skirt Jacket$200 ?

? lI II III3 l 5 l I + II

51+9-28A

36+44-37T

17-9+28S

52+9-28I

61-8-40W

76+9-82E

34+18-20J

61+9-28N

42-6-7C

17+28-39D

53-18-16H

51+9-18R

13 19 32 43

13 3 33 42 632 36 3 42 43 3 42 29 3

38

E. Perform the calculations. What do you notice?

F. A school has 248 students who are girls and 211 boys. How many students are in the school? How many more girls than boys are in the school?

G. Find the sum of the lengths of the segments of the segmented line.


In your notebook, draw a solution.

There are apples on three plates. Half of the apples are on the first plate. When Pat took from this plate the number of apples equal to a half of all apples on the second plate andthen the number of apples equal to half of the apples on the third plate, there were only two apples remaining on the first plate. How many apples were on each plate.

6 1 2 3 4 1+ + +

- - -

6 1 2 2 5 4

6 1 2 2 5 0 +

-

6 1 2 2 0 7+

-

6 1 2 1 8 6

7 4 9 4 0 3

7 2 3 4 0 3

7 0 8 4 0 3

6 2 4 4 0 3

4 8 3 4 0 3

AB = ☐ cm

BC = ☐ cm

CD = ☐ cm

DE = ☐ cm☐ cm + ☐ cm + ☐ cm + ☐ cm = ☐ cm

CA

B

D

E

39


A. Imagine a green sheet of paper is laying on top of a white sheet. Trace, using a solid red line, the borders of both sheets that you can see. Trace, using a dashed red line, the borders of both sheets that you cannot see.

B. Notice whether the lines are dashed or solid and color the shape that lays on top.

C. Trace in red both solid and dashed lines if

a) The pentagon is on top of the quadrilateralb) The pentagon is under the quadrilateral

a) b)

40


1. Sophie is drawing color kangaroos: first blue, then black, then red, then yellow, then again blue and then red and so on. What color is the seventeenth kangaroo?

A. blue B. green C. red D. black E. yellow

2. The number 0 + 1 + 2 + 3 + 4 – 3 – 2 – 1 – 0 equals

A. 0 B. 2 C. 4 D. 10 E. 16

3. A boy folded a sheet of paper and cut it as shown on the picture. How many pieces did he obtain?

A. 2 B. 3 C. 4 D. 10 E. 16

4. The smallest whole number that divides into 2, 3, and 4 equals

A. 1 B. 2 C. 6 D. 12 E. 24

5. Piglet planted 8 acorns. All acorns but two grew into oaks. All oaks but 2 have acornson them. The acorns from all fruiting oaks but one are not tasty. How many oaks have bad tasting acorns.

A. 0 B. 1 C. 2 D. 3 E. 4

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Exercise 5. Easy Difficult Interesting BoringConnect the points on each graph using arrows.

morning noon

night evening

Apple tree

roots stem branches

leaves apples

Apple trees have roots, a stemand branches. From thebranches, leaves and applesare growing.

Chocolandia Marshmallowlandia

Wafflandia Candilandia

All sweet countries receivecandies. Chocolandia alsoreceives waffles.Marshmallowlandia receivessweets from all three othercountries.

START

Get up

Brush teeth

Go to school

Dress up

Pack your bag

END

Grandma makes pies withcabbage and sweet pies. Sweetpies could be with honey, jam,apples, or pears

Pies

sweet cabbage

honey

jam

apples

pears

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Change the colors of the fruits according to the instructions. Then, draw the fruits on thecorrect plates.

Color the empty plate red.


Color the flowers and identify the one flower that is different from the others.


Write the correct equations.

Q = A + B + C

B = ___________________

A + B = ________________

BA C

Q

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A + C = ________________

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exercise 1.schoolnova.org/classes/ay2015/mat21be/mat21be-2015-10-04-file1.pdf · exercise 1. easy...

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