Acknowledgements
Academic Authors: Muskan Panjwani, Anna Danchenko
Creative Directors: Alena Sizintseva
Book Production: Natalia Karabanova, Anastasia Voitovich
All products and brand names used in this book are trademarks, registered trademarks or trade names of their respective owners.
© Uolo EdTech Private Limited First edition 2026
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Book Title: DinoLab Math Smartbook 5
ISBN: 978-93-89789-91-1
Published by: Uolo EdTech Private Limited
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CIN: U74999DL2020PTC360472
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DinoLab is an AI-powered self-learning platform that helps children learn Mathematics and other subjects step by step, at their own pace. Students can practise and revise every topic digitally and through printed Smartbook.
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1 2 3
1. NUMBERS UP TO 8 DIGITS
UNDERSTANDING LARGE NUMBERS
1. Write the expanded form of the numbers.
a) 827 = 800 + 20 + 7
b) 3712 =
c) 23,817 = d) 45,001=
e) 44,44,000 =
f) 9,82,930 = g) 1,00,23,345 =
2. Write the place value and face value of the underlined digit in the following numbers.
a) 4261365
d) 629506 b) 8367489 e) 86189 c) 47227 f) 419164
a) The place value of 1 is 1000 b) c)
Numbers up to 8 Digits
3. Write the period names using Indian Number System.
4,18,91,549
ones period
lakhs periodcrores period thousands period
4. Write the numbers.
Four thousand five hundred seventy-six
Twenty lakh fifteen thousand three hundred forty-eight
Ninety lakh ten thousand one hundred
One lakh sixty-seven thousand one
Eight crore thirty-four lakh seventy-two thousand eight hundred eleven 4576
5. Read the number. Write its expanded form and number name using Indian Number System.
a) 1093827
Number name
Expanded form
b) 54354
Number name
Expanded form
c) 380008
Number name
Expanded form
6. Write the period names using International Number System.
60 879 344 154
7. Write the numbers
Thirty one thousand fifty-five
Four hundred nineteen thousand
five hundred twenty-six
One million two hundred thousand
Seven hundred million forty-four thousand one hundred ninety-three
Fifteen million twenty-four
8. Write the names for the places.
3 7 7 5 9 6
hundreds thousands tens hundred thousands ten thousands ones
9. Read the number. Write its expanded form and number name using International Number System.
a) 4562817
Number name
Expanded form
b) 41002
Number name
Expanded form
10. Write the standard form of the numbers in the Indian and International number systems.
a) 47297452
a) 4,72,97,452 47,297,452
c) 19364067
b) 75629000
b)
d) 67265901
COMPARING, ORDERING AND ROUNDING-OFF LARGE NUMBERS
11. Arrange numbers in descending order.
a) 4,85,922; 56,78,354; 8234; 34,563
b) 23,34,245; 8,28,135; 17,74,732; 9183
c) 34,462; 99,99,999; 5,35,452; 4,65,13,450
12. Compare the numbers using <, >, = .
a) 32,933 32,943
c) 7183 7283
e) 2,52,56,235 3,44,714
h) 68,26,005 68,26,105
13. Round the numbers
a) to tens
b)
b) 3,45,891 39,999
d) 50,19,341 50,19,342
f) 93,37,348 93,07,348
i) 10,00,00,001 10,00,00,002
c) to thousands
14. In which examples is rounding to hundreds? Circle the correct answer.
15. Circle the piece of cheese the lady wants.
I need approximately two hundred gram cheese
I need approximately four hundred gram cheese
I need approximately three hundred gram cheese
Numbers up to 8 Digits
City
16. Round up the population of the cities to the correct values.
Guwahati
Chandigarh
Moradabad
Bhiwandi
Noida
Asansol
Kurnool
Dhule
Purnia
PopulationTo hundredsTo thousands
9,63,429
9,60,787
8,89,810
7,11,329
6,42,381
5,64,491
4,30,214
3,76,093
2,80,547
9,63,4009,63,000
2. OPERATIONS ON LARGE NUMBERS
ADDITION AND SUBTRACTION OF NUMBERS UP TO 6 DIGITS
1. Calculate the expressions.
471 + 10 =
492 + 10 = 981 + 10 = 711 + 30 =
+ 20 =
+ 30 =
– 60 =
– 70 =
– 40 =
– 10 =
2. 11 kg of apples were collected from one apple tree. 5 kg more apples were collected from the second apple tree than from the first. How many apples were collected from the two apple trees?
3. Fill in the blanks.
4. On the first day Amrit walked 4,300 m. On the second day, he walked 700 m less. How many meters did he walk in two days?
5. Fill in the missing numbers.
6. Match the expressions with their answers and connect with a line.
7. The first warehouse received 150 kg of bananas. The second warehouse received 34 kg more bananas. The third warehouse had 98 kg less bananas than the first two warehouses together. How many kg of bananas are there in the three warehouses?
8. Sahil said he ate 7 candies less than Dinesh. Dinesh said he ate 10 candies more than Amit. Keshav said he ate as many candies as Amit and Sahil together. How many candies did each boy eat if Amit ate 5 candies?
9. Calculate the expressions.
52,381 + 7014 =
38,927 + 1839 =
29,401 + 6354 =
18,910 + 2709 =
8,00,762 + 471 =
63,337 + 1371 =
44,191 + 5372 =
21,372 + 17,277 =
10. Calculate the expressions.
28,817 – 7299 =
43,222 – 9001 =
4,21,576 – 887 =
54,383 – 1346 =
82,521 – 3817 =
63,167 – 9091 = 48,381 – 6188 = 74,221 – 3661 =
MULTIPLICATION AND DIVISION OF NUMBERS UP TO 6 DIGITS
11. Fill in the blanks.
12. Calculate the expressions.
a) 73 × 1000 = d) 4377 × 10 = c) 918 × 10 = f) 40 × 1000 = b) 371 × 100 = e) 205 × 100 =
13. Fill in the blanks.
14. Calculate the expressions.
a) 3,63,000 ÷ 100 =
c) 67,30,100 ÷ 10 =
e) 73,00,000 ÷ 1000 =
b) 57,800 ÷ 10 =
d) 4,06,50,000 ÷ 10000 = f) 8,08,00,000 ÷ 100000 =
15. The factory had 69 metres of fabric. Some of this fabric was used to make 5 dresses, using 3 metres for each dress. How many metres of fabric were left in the workshop?
16. The vehicle carries 17 tons of cargo in one trip. How many tons of cargo will it carry in 9 trips?
17. There were 36 apples in the basket, and the number of pears was one-third of the number of apples. How many more apples are there in the basket than pears?
18. Calculate the expressions.
272 × 51 =
428 × 18 =
725 ÷ 29 =
591 × 19 =
516 × 29 =
688 ÷ 43 =
572 × 26 =
404 × 35 =
2272 ÷ 9 =
608 × 96 =
277 × 9 =
429 ÷ 11 =
19. Calculate the expressions.
56 × 634 =
450 ÷ 30 =
630 ÷ 35 =
833 × 63 =
7902 ÷ 18 =
494 ÷ 19 =
709 × 27 =
8048 ÷ 16 =
729 ÷ 27 =
123 × 71 =
672 ÷ 12 =
1820 ÷ 20 =
20. Divide with a remainder then match with the correct equation.
21. Make all statements correct.
CHOOSING THE RIGHT OPERATOR
22. Arrange the operation numbers in the correct order.
234
24 + 2 × 5 – 12 ÷ 4 4 × 4 – 12 + 3 × 8 24 – 25 ÷ 5 + 10 × 3 72 – 7 × 6 – 54 ÷ 9
56 – 7 × 6 ÷ 2 + 14 43 + 12 – 12 ÷ 4 × 3
23. Make the rule: performing operations in the expression.
First perform and then from left to right, from left to right. and and multiplicationdivision additionsubtraction
24. In one trip, the yacht can take 32 people to the other side. There are 300 people in the queue for the crossing. How many trips does the yacht need to make to take everyone, and how many people will the yacht take on the last trip?
25. Fill in the signs to make the equality true.
3. FACTORS AND HIGHEST COMMON FACTOR
UNDERSTANDING FACTORS
1. Find two factors of the numbers given below.
a) 12: ; b) 21: ;
c) 17: ; d) 54: ;
e) 65: ; f) 72: ;
2. How many factors do prime numbers have? Circle the right answer.
3. Check whether the number is a prime number or composite.
a) 19 b) 24 c) 41 d) 51
a) 19 = 1 × 19 — prime number
4. Choose and connect all the correct ways to split the number into prime factors.
5. Split the number into prime factors in two ways.
6. Circle all the numbers divisible by 10.
7. True or False?
1) If a number ends with a digit of 0 then it is divisible by 8.
2) If a number ends with a digit of 0 then it is divisible by 10.
3) If a number ends with a digit of 3 then it is not divisible by 10.
8. Circle all the numbers divisible by 5.
9. True or False?
1) If a number ends with a digit of 0 then it is divisible by 5.
2) If a number ends with a digit of 5 then it is divisible by 3.
3) If a number ends with a digit of 3 then it is not divisible by 5.
10. Circle all the numbers divisible by 2.
11. True or False?
1) If a number ends with an odd digit then it is not divisible by 2.
2) If a number ends with an even digit then it is divisible by 8.
3) If a number ends with 5 then it is not divisible by 2.
12. Choose the right answer.
1) To see if the number is divisible by 10, you need to check that the is divisible by 10.
Last digit Sum of its digits
2) To see if the number is divisible by 3, you need to check that the is divisible by 3.
Last digit Sum of its digits
3) To see if the number is divisible by 2, you need to check that the is divisible by 2.
Last digit Sum of its digits
4) To see if the number is divisible by 9, you need to check that the is divisible by 9.
Last digit Sum of its digits
5) To see if the number is divisible by 5, you need to check that the is divisible by 5.
Last digit Sum of its digits
13. Make numbers that are divisible by 3 and divisible by 5 using the given number.
You may not use all digits
14. Make numbers that are divisible by 3 and NOT divisible by 9 using the given numbers.
You may not use all digits
15. Make even numbers, that are divisible by 3 using the given numbers.
You may not use all digits
HIGHEST COMMON FACTOR
16. Write the missing factors of 12 and 8.
Circle the pairs of common factors. The highest common factor of 12 and 8 is .
17. Write the missing factors of 6 and 1.
Circle the pairs of common factors. The highest common factor of 6 and 10 is .
18. Write the missing factors of 15 and 16 .
Circle the pairs of common factors. The highest common factor of 15 and 16 is .
19. Circle the true statement.
HCF — . the highest common function the highest common factor the highest common figure
20. Calculate Highest Common Factor (HCF).
a) HCF (7; 9) = 1
a) 7 = 7 × 1 9 = 1 × 3 × 3
c) HCF (6; 18) =
e) HCF (5; 15) =
g) HCF (14; 35) =
b) HCF (10; 12) =
d) HCF (6; 14) =
f ) HCF (9; 15) =
h) HCF (10; 30) =
4. MULTIPLES AND LEAST COMMON MULTIPLES
UNDERSTANDING MULTIPLES
1. Mark all the points where both kangaroo and baby kangaroo jumped.
; ; — common multiples of 4 and 2. So, is the lowest common multiple of 4 and 2.
2. Write two multiples of the numbers given below.
LEAST COMMON MULTIPLE
3. Write the missing multiples of 4 and 6.
Circle the pairs of common multiples. The lowest common multiple of 4 and 6 is .
4. Write the missing multiples of 3 and 2.
Circle the pairs of common multiples. The lowest common multiple of 3 and 2 is .
5. Write the missing multiples of 5 and 3.
Circle the pairs of common multiples. The lowest common multiple of 5 and 3 is .
6. Circle the true statement.
LCM — . the lowest common meter the lowest common multiple the largest common multiple the longest common multiple
7. Calculate Lowest Common Multiple.
a) LCM (6; 4) = 12
b) LCM (4; 12) =
a) 6 = 2 × 3 4 = 2 × 2 LCM (6, 4) = 2 × 3 × 2
c) LCM (15; 3) =
e) LCM (7; 5) =
g) LCM (11; 9) =
d) LCM (5; 4) =
f ) LCM (6; 8) =
h) LCM (15; 4) =
5. FRACTIONS
1. Shade 2 whole circles and .
2. Shade 1 whole circle and .
3. Shade 2 whole circles and .
4. Name each element of the fraction from the given.
12 4 8 12 4 8 12 4 8 12 4 8
5. Write the correct labels.
4 3 4 12 4 8 12 4 8
6. Write the mixed fraction on the number line.
7. Sort the fractions. Connect to the right box.
8. Think of a good way to calculate and make a rule.
9. Change the mixed fractions into an improper fractions.
10. How to find the whole part. Write the correct elements.
11. Change the improper fractions into a mixed fractions.
a)
12. Write the fraction on the picture in two ways.
c)
= Mixed fraction Simple fraction
= Mixed fraction Simple fraction
= Mixed fraction Simple fraction
13. Write and compare the fractions.
14. Arrange the fractions from the smallest to the largest. Underline the correct answer.
These fractions have the same denominators. The larger the numerator the larger / smaller the fraction.
15. Arrange the fractions from the smallest to the largest. Underline the correct answer.
These fractions have the same denominators. The larger the denominator the larger / smaller the fraction.
16. Compare the fractions.
17. Look at the number line and choose the correct sign.
18. Look at the number line and choose the correct sign.
19. Compare the fractions with and with each other.
20. Find the closest whole numbers
21. Circle the shapes that have equivalent part shaded. Choose two pictures.
22. Fill in the blanks.
23. Fill in the gaps.
24. Fill in the gap.
25. Make the fractions the same value if possible.
26. Write all the fractions in a simplified form.
27. Did Gagan simplify the fraction correctly? Circle the correct answer.
28. Simplify the fractions.
6. OPERATIONS ON FRACTIONS
ADDITION AND SUBTRACTION ON FRACTIONS
1. How many litres of lemonade?
2. Make rules “How to add / subtract fractions”.
Connect with a line
Find the common denominator
Add the fractions
Are the denominators the same?
Subtract the fractions
Find the common denominator Are the denominators the same?
3. Calculate the expressions.
4. Solve the expression.
Separate the whole and fractional parts
5. Calculate the expressions.
MULTIPLICATION AND DIVISION OF FRACTIONS
6. Make the formula for multiplication of fractions and solve the expression.
7. Did Ira simplify the fractions correctly? Circle the right answer.
8. Make the formula for division of fractions and solve the expression.
9. Calculate the expressions.
7. INTRODUCTION TO DECIMALS
UNDERSTANDING DECIMALS
1. What is Eva’s temperature? Circle the right answer.
I have a temperature of thirty six point seven
2. What is the temperature in the thermometer?
3. What is the length?
4. Write the place value of the digits.
hundredths
tens tens hundredths hundredths tenths ones
5. Fill in the table.
3 tenths
3 hundredths
3 thousandths
3 ten thousandths
3 hundred thousandths
6. Write the number as a decimal fraction.
five and seven hundred seventy four thousandths
two hundred and thirty four and nineteen hundredths
eighty four and sixty five thousandths
zero and eleven hundredths
twelve and twelve thousandths
5.774 3 10 3 1,000 3 1,00,000
7. Match the equal numbers.
8. Complete the table.
Simple fractionDenominator 10 or 100Decimal fraction
TYPES OF DECIMALS
9. What part of the square is shaded?
Write it as a simple fraction and then as a decimal fraction.
Circle the correct equations.
10. Convert the unlike decimals into like decimals.
COMPARING, ORDERING AND ROUNDING-OFF DECIMALS
11. Compare the numbers.
12. Write a suitable number.
13. Convert to fractions and compare.
14. Circle the right choice.
I need an eleven kilogram watermelon.
I need a four kilogram melon.
I need a nine kilogram pumpkin.
15. Check your homework.
16. Match the numbers and connect with a line.
To what value is the number rounded? Match the answers and connect with a line.
17. Round numbers to the correct value.
18. Round numbers to the correct value.
a) To make pancakes you need 2.4 L of milk. How many 1-litre packs of milk do you need to buy?
b) To make jam you need 3.6 kg of sugar. How many kg packages of sugar do you need to buy?
8. OPERATIONS WITH DECIMALS
AND SUBTRACTION OF DECIMALS
1. Fill in the blanks/
a) 2.543 5.329 + 7.862
2. Has John done the correct calculations? Circle the correct answer. Correct Correct Incorrect Incorrect b) 6.375 2.068 + 8.443 11
3. Has John done the correct calculations? Circle the correct answer.
4. Match the answers with the expressions.
5. Calculate the expressions.
49.266 + 14.42 =
6.6226 + 55.14 =
23.51 + 562.57 =
771.31 – 456.2 =
64.11 – 23.741 =
512.1 – 24.541 =
344.15 + 13.24 = 51.42 – 24.718 =
AND DIVISION OF DECIMALS
6. Did Gagan put a dot decimal to the right place? Circle the right answer.
7. Fill in the blanks then place the decimal point correctly.
8. Calculate the expressions.
9. Calculate the expressions.
10. Circle to make a true statement.
a) If 9 tenths is divided by 3 then you will get
b) If 5 hundredths is divided by 5 then you will get
c) If 3 thousandths is divided by 3 then you will get
11. Calculate the expressions.
12. Circle to make a true statement.
If the dividend and divisor are multiplied by one and the same number then the product will . increasenot changedecrease
13. Choose the correct equations and solve it.
a) 0.35 ÷ 0.5 = =
÷ 5
b) 5.6 ÷ 0.08 = = c) 0.42 ÷ 0.7 = =
14. How to convert a divisor into a natural number without changing the quotient?
Write the smallest suitable number digits. 0.144 ÷ 0.12
You need to move the decimal to the right
15. Calculate the expressions.
645 × 6.4 =
0.0998 × 9.4 =
9 ÷ 0.12 = 900 ÷ 12 = 315 ÷ 7.2 =
0.25 × 756 =
153 ÷ 2.4 =
0.034 × 48 =
0.6912 ÷ 0.432 =
9. LINES AND ANGLES
LINES AND LINE SEGMENTS
1. Write the correct word.
This is a .
This is a line.
This is a line. curved straight point
2. A straight line or a curved line? Choose the correct answer.
These are lines. The shortest path between the ship and the island is a line.
Lines and Angles
Answer
3. Choose the correct word.
This is a . It has a starting point but has no end point. This is a . It has two end points.
Answer line segment ray
4. Count all possible line segments between marked points on the given line. Write down your answer.
5. Count all possible rays on the given straight line. Write down your answer.
6. Which one is a straight line? Tick it.
A line is denoted by one small English letter. Also, a line segment can be called by two points that lie on it.
7. Circle all points on the line d.
8. Draw several lines through point A, then circle to make the statement true.
You can draw through one point.
infinitely many straight lines
only one straight line
9. Draw straight lines through points A and B.
You can draw between two points.
infinitely many straight lines exactly five straight lines exactly five straight lines
only one straight line
10. Circle the right answer.
How many different straight lines can be drawn through one point?
How many different curves can be drawn through one point?
How many different curves can be drawn through two points?
How many different straight lines can be drawn through two points?
11. Connect the dots.
12. What is the name of the ray? Tick it.
A ray is denoted by two letters: the first denotes the beginning of the ray, the second — some other point.
13. Circle rays AB and BC.
UNDERSTANDING ANGLES
14. Draw two rays from the given point.
An angle is a figure formed by rays meeting at a common . two three straight point
Lines and Angles
15. Circle an angle.
The angle is denoted by three letters, the vertex letter is in the middle.
16. Name the elements from the given.
17. Write the correct statement.
Two rays emerge from point B: and , so is an angle.
18. Write correct angles.
Straight angles:
Right angles:
2-D SHAPES
19. Circle the figure with 4 vertices and 3 line segments.
20. Select the figure with 5 vertices and 5 line segments.
21. Select the figure with 3 vertices and 3 line segments.
22. Count the number of vertices and sides.
23. Colour all the polygons in the picture. vertices sides vertices sides vertices sides
Lines and Angles
24. Draw a simple polygonal chain on the left and a closed polygonal chain on the right, marking all vertices with red dots and all segments with blue lines.
25. What are these figures called? Tick it.
Triangle Pentagon
Quadrilateral Heptagon
Triangle Pentagon
Quadrilateral Hexagon
Triangle Pentagon
Quadrilateral Hexagon
Lines and Angles
26. Make the definition.
1) If of the angles of a triangle is , then it is called right-angled triangle.
2) If of the angles of a triangle is , then it is called obtuse-angled triangle.
3) If of the angles of a triangle are , then it is called acute-angled triangle..
4) If sides of a triangle are , then it is called isosceles.
5) If sides of a triangle are , then it is called equilateral.
28. Choose the correct statement.
This is an equilateral triangle, since all sides are equal
It is an isosceles triangle, as it has two equal sides
Kamal is right
Alex is right
Both are right
29. Name the parts of the isosceles triangle. side side base
Kamal
Alex
30. Tick obtuse-angled Triangles.
31. Tick right-angled Triangles.
32. Tick equal sides.
In the figure, equal sides are marked with
33. Tick the correct statement.
This is a rectangle since all angels are right-angled.
This is a square, since it has all angles are right angles and all sides are equal.
Dima is right Both are right Rohan is right
34. Tick all rectangles.
Dima
Rohan
35. Colour the shapes.
Triangles
Triangles
Lines and Angles
Squares Hexagons
Circles
36. Colour the triangles and hexagons.
37. Colour the shapes.
Triangles
38. Colour the shapes.
Circles
Triangles Rectangles Squares Hexagons
Lines and Angles
10. PATTERNS AND SYMMETRY
PATTERNS AROUND US
1. Write the missing points on the number line.
2. Observe the pattern and colour the figures.
3. Draw the missing term in the pattern. a)
4. Find the pattern and write the missing numbers.
2, 8, 32, 128, 14, 28, 56, 112, 5, 15, 45, 135, 5, 20, 80, 3, 9, 27, 81,
4, 12, 36, 108, 2, 4, 12, 48, 1, 5, 10, 16, 23,
1, 4, 9, 16, 25,
5. Complete the table.
2, 3, 5, 8, 13,
SYMMETRY AND REFLECTION
6. Look at the shapes. Write whether they are symmetrical or non-symmetrical.
Patterns and Symmetry
7. Draw and write the number of line (lines) of symmetry for each shape.
a) Lines of symmetry =
b) Lines of symmetry =
c) Lines of symmetry =
d) Lines of symmetry =
8. Circle the picture that looks the same in its mirror image.
9. Draw the reflection of the figures along the mirror line.
11. LENGTH AND WEIGHT
UNDERSTANDING LENGTH
1. Find the length of the pencil.
2. Find the length of the tube.
3. Find the length of the line segment.
4. Circle a segment 7 cm long.
5. Find the length of the pen
6. Convert the lengths. 1 cm cm = dm
a) 3 dm = cm
c) 40 cm = dm
b) 15 dm = cm
d) 90 cm = dm
Length and Weight
7. Find the length of the brush.
8. Solve the problem. dm cm
The length of the lizard is 2 dm, and snake — 70 cm longer. Write down the snake’s length in decimeters.
9. Calculate.
20 cm – 10 cm = dm
50 cm + 3 dm = dm
5 dm + 4 dm = cm
6 dm – 10 cm = cm
10. Fill in the blanks.
11. Use < , > , = to compare the numbers.
a) 28 mm 3 cm
d) 45 cm 4 dme) 900 mm 9 dmf) 57 mm 7 cm
12. Calculate.
a) 3 cm 2 mm + 1 cm 4 mm = cm mm
b) 6 cm 7 mm + 2 cm 4 mm = cm mm b) 13 mm 1 cmc) 30 mm 3 dm
13. Find the length of the table.
14. Calculate.
a) 4 cm 7 mm – 2 cm 4 mm = cm mm
b) 8 cm 7 mm – 5 cm 9 mm = cm mm
15. Use a suitable unit of length.
a) Length of matchstick is 5 .
millimetres
centimetres
decimetres
metres
b) Height of three is 3 .
millimetres
centimetres
decimetres
metres
c) Thickness of notebook is 7 .
millimetres
centimetres
decimetres
metres
16. Find the length of the street.
17. Find the distance from the first house to the tree according to the picture.
m = km = (m)
18. Find the distance travelled by ladybug.
19. How much larger are some units compared to others?
20. Tailoring a costume requires 3 m 5 dm of fabric and tailoring a dress needs 1 m 30 cm less fabric. How many decimeters of fabrics do you need for a dress.
1) Convert
3 m 5 dm = dm + dm = dm — required for the costume
2) Convert
1 m 30 cm = dm + dm = dm — less needed for the dress
3) How many decimeters of fabric do you need for a dress?
= (dm)
21. How long are the balls of wool?
a) Sort lengths from largest to smallest.
60 mm60 dm700 cm60 cm60 m
b) Sort lengths from largest to smallest.
50 dm505 cm50 mm50 m50 cm
Length and Weight
22. Solve the problems.
a) The boys took part in a school competition. Alex jumped 13 dm. John jumped 8 cm longer than Alex did. Max jumped 1 dm 3 cm longer than John. What was Max’s result?
Answer: m cm
b) The gnomes were spinning the wool into yarn. Dori’s yarn was 5 m 6 dm, Nori’s yarn was 2 m 3 dm, Ori’s yarn was 40 dm. How long was the gnomes’ yarn?
Answer: m cm
UNDERSTANDING WEIGHT
23. Find the weight of ostrich egg.
Length and Weight
24. Convert.
5,800 g = kg g
6 kg 800 g = g
3 kg 750 g = g
3,650 g = kg g
16,000 g = kg
16 kg 700 g = g
Length and Weight
25. Circle a suitable unit of mass.
a) The weight of a loaf of bread is 450 .
c) An ear of corn weighs 300 . kilograms grams kilograms grams kilograms grams Length and Weight
b) Asian elephant weighs 2700 .
12. PERIMETER AND AREA
PERIMETER
1. Circle the shortest route.
2. Draw a broken line following the instructions.
One link of this line is 3 cm, second one is 4 cm, and third one is 2 cm
Perimeter and Area
3. Which wire will be equal to the wire shown here? Tick it.
4. Find the perimeter.
The perimeter of the figure is m. 5 m 10 m
Perimeter and Area
PLACE VALUE
5. Find the perimeter.
a) The perimeter of the triangle is
b) The perimeter of the quadrilateral is
с) The perimeter of the pentagon is
6. Circle the right answer and find the perimeter.
P = + + + + + =
The perimeter of a polygon is of the lengths of its sides.
AREA
7. Find the perimeter and area.
a) The perimeter of the square is
b) The perimeter of the rectangle is The area of the square is The area of the rectangle is cm. cm. cm2. cm2.
8. Write perimeter expression and find it. Then find area of the rectangle.
1) Perimeter = AB
2) Area = AB
PLACE VALUE
9. Find the length of the rectangle if its width is 5 cm, and perimeter equals the perimeter of the square with side 6 cm. Then find their areas.
1) The perimeter of the square is
2) Hence, the perimeter of the rectangle is
4) Area of the square is
5) Area of the rectangle is
3) Measure the sides of the rectangle cm. cm. cm2. cm2. + 5 ++ 5 = 24 (cm)
10. Find the perimeter and area.
13. CAPACITY AND VOLUME
UNDERSTANDING CAPACITY
1. Which vessel has more water? Circle the right answer.
left
2. Circle the best estimate of the given objects.
a) glass b) vase
c) pool
3. How much juice is left in the jar?
L juice is left in the jar.
4. How many litres are needed to fill the smaller vessel?
How many litres are left in the larger vessel?
Answer:
5. Solve the problem.
How much water will remain in the larger vessel after filling the smaller one?
There will be L.
6. Using the formula of volume find it for the figures.
= l × b × h
a) V =
7. Find the volume of the figures.
b) V =
c) V =
d) V =
14. 3-D SHAPES ON FLAT SURFACES
SHAPES
1. Complete the table.
2. Draw a cube on the square grid.
NETS AND VIEWS
3. Which of the following nets will form a cube when folded? Circle it.
4. Draw the net of a cylinder.
5. Draw the net of a square pyramid.
6. Which is the top view of the shape? Circle it.
MAPS AND FLOOR PLANS
7. Write the directions at the correct places.
East (E)
(W)
(N)
(S)
(E)
8. Look at the map. Write the correct answers.
Museum is on the of the school.
Market is on the of the school.
Circus is on the of the school.
Hospital is on the of the market.
Tyre centre is on the of the school.
15. TIME AND TEMPERATURE
1. Solve the problem.
TIME
Kiran spent 25 minutes on Math, 20 minutes on Science, and 15 minutes on English. How many hours did Kiran spend on all the subjects in total?
+ + = (min)
2. Write a suitable unit of time.
a) Vacation at sea lasted 3
b) Travelling by train from Guwahati to New Delhi takes 32
c) 100 meters run world record is about 10
Time and Temperature
3. What time does the clock show? Circle the right answer.
19 : 21
3 h 53 min quarter past twelve 9 : 21
10 h 15 min quarter to one 4 : 47 10 h 30 min noon
Answer: It is needed to start check-in at h min.
4. Check-in at the airport takes 1 h 40 min, the plane flies 1 h 5 min. What time do we need to start check-in if the plane flies at 13:55? Time and Temperature
5. Solve the problem.
The shuttle bus sets off on its route at 15 : 40. It takes 2 h 20 min for it to reach its destination, it stops for 30 minutes and comes back to where it started from in 1 h 50 min. What time does the bus arrive at the starting point?
Answer: h min
6. Compare the expressions.
7. What is Sara’s temperature? Circle the right answer.
I have a temperature of thirty seven point two
8. Connect the objects and their possible temperature with a line. TEMPERATURE
–60 ℃ to 0℃
50 ℃ to 250 ℃
0 ℃ to 100 ℃
–50 ℃ to 50 ℃
–30 ℃ to –10 ℃
16. MONEY
WORKING WITH MONEY
1. Fill in the blanks.
Amount in Rupees ₹ 4.57 ₹ 10.2
2. Solve using Unitary Method.
a) Cost of 4 books = ₹ 1,600. Find the cost of 7 books.
Amount in Paise
457 p 599 p 702 p
b) Cost of 7 kg of apples = ₹ 490. Find the cost of 3 kg of apples.
WORD PROBLEMS ON MONEY
3. It takes ₹ 15 to produce one pen. The factory produces 1,000 pens in one day. What is the factory’s profit in one day if pens in the store cost ₹ 20?
4. Every fifteenth of the month the store gives a discount of ₹ 1,500 on TVs. How much should Raj pay for a TV that costs ₹ 21,000 if he comes to the store on the fifteenth?
5. Gita has ₹ 120. One ice cream costs ₹ 23. How much ice cream can Gita buy?
6. Vivan lent his friend ₹ 600 and said that for every day he was late the amount of the debt would increase by ₹ 5. How much money should the friend return to Vivan if he was late by two weeks?
7. Solve the problem. Potato
Price
₹ 50 per kg
₹ 54 per litre Apples
₹ 55 per kg Milk
₹ 45 per kg Flour
How much money do you need to pay for 3 kg of apples, 2 litres of milk and 5 kg of potatoes?
17. DATA HANDLING
BAR GRAPHS
1. Circle the right answer.
a) The chart shows how many years different animals live.
How many years does a wolf live?
b) The chart shows how many different marks Raj received in mathematics for the year.
How many marks will show the grade C?
2. Circle the right answer.
a) The chart shows the amount of rainfall (in mm) in Mumbai for each month of the year. How much rainfall was in May?
b) The chart shows how many hours a day different animals sleep. Look who’s sleeping the least.
Click how many hours a day this animal sleeps.
PIE CHARTS
3. Look at the diagram that shows the distribution of team scores for the Mathematics Olympiad. Match the team number with the place it took.
— Team 1 place
— Team 2 place
— Team 3 place
— Team 4 place
4. This chart shows the distribution of animals by life expectancy.
Which animal is in 4th place if we arrange the expectancy from most to least
Answer:
Life expectancy
Indian elephant
Dog
Hamster
Cockatoo
Python
Cat
LINE GRAPHS
5. Answer the question using the graph.
a) The graph shows how the price of sandals changed for several months.
How much did sandals cost in September?
The answer: rupees
b) The graph shows how the population of red wolves in the zoo increased.
How many wolves lived in the zoo in 2013?
The answer: wolves
6. Circle the right answer using the graph.
a) The graph shows how approximately the Earth population was changing in the second half of the 20th century. How many millions of people lived on Earth in 1970?
b) The graph shows how many countries participated in the Winter Olympics in different years. What year number of participating countries was 82?
7. Circle the right answer using the graph.
a) The graph shows the change in the Aral sea area due to the negative impact of human activities. What is the smallest area of the Aral Sea?
b) The graph shows how the temperature is changing in the Sahara desert during the day. At what time is the air temperature the lowest?
c) The graph shows how the altitude of the helicopter varied during the flight.
How many minutes after the flight began, the helicopter reached the highest altitude?
ANSWERS
1. NUMBERS UP TO 8 DIGITS 1–9
1. b) 3712 = 3000+ 700 + 10 + 2
c) 23,817 = 20,000 + 3000 + 800 + 10 + 7
d) 45,001 = 40,000 + 5000 + 1
e) 44,44,000 = 40,00,000 + 4,00,000 + 40,000 + 4000
f) 9,82,930 = 9,00,000 + 80,000 + 2000 + 900 + 30
g) 1,00,23,345 = 1,00,00,000 + 20,000 + 3000 + 300 + 40 + 5
2. b) 9 c) 40,000 d) 500 e) 100 f) 4,00,000
3. 4 — crores period, 18 — lakhs period, 91 — thousands period, 549 — ones period
4. 12,15,348 │ 90,10,100 │ 1,67,001 8,34,72,811
5. a) 10,93,827 Ten lakh ninetythree thousand eight hundred twenty-seven b) 54,354 Fifty-four thousand three hundred fifty-four
c) 3,80,008 Three lakh eighty thousand eight
6. 60 — billion period, 879 — millions period, 344 — thousands period, 154 — ones period
7. 419,526 │ 1,200,000 │ 700,044,193 15,000,024
8.
hundredthousands hundreds tenthousands tens thousands ones
9. 4,562,817 — Four million five hundred sixty-two thousand eight hundred seventeen 41,002 — Forty one thousand two
10. b) 7,56,29,000 │ 75,629,000
c) 1,93,64,067 │ 19,364,067
d) 6,72,65,901 │ 67,265,901
11. a) 56,78,354 │ 4,85,922 │ 34,563 8234
b) 23,34,245 │ 17,74,732 │ 8,28,135 9183
c) 4,65,13,450 │ 99,99,999 │ 5,35,452 34,462 3 7 7 5 9 6
PLACE VALUE
12. a) 32,933 < 32,943
b) 3,45,891 > 39,999
c) 7183 < 7283
d) 50,19,341 < 50,19,342
e) 2,52,56,235 < 3,44,714
f) 93,37,348 > 93,07,348
h) 68,26,005 > 68,26,105
i) 10,00,00,001 < 10,00,00,002
13. 2157 ≈ 2160 │ 2159 ≈ 2160
2154 ≈ 2160 │ 4534 ≈ 4500
4592 ≈ 4600 │ 4504 ≈ 4500
4247 ≈ 4000 │ 4671 ≈ 5000 4737 ≈ 5000
14. 1246 ≈ 1200 │ 8256 ≈ 830 5482 ≈ 5500 │ 3078 ≈ 3080
15. a) 193 g b) 368 g c) 285 g
16. City
Guwahati
Chandigarh
Moradabad
Bhiwandi
Noida
Asansol
Kurnool
Dhule
Population To hundreds To thousands
Purnia 9,63,429 9,60,787 8,89,810 7,11,329 6,42,381 5,64,491 4,30,214 3,76,093 2,80,547 9,63,400 9,60,800 8,89,800
2. OPERATIONS ON LARGE NUMBERS 10–23
1. 1st column: 481 │ 502 │ 991
741 │ 443 │ 214
2nd column: 521 │ 519
686 │ 509 │ 410 │ 379
2. 27 kg 4. 7900 m
3. a) 3771 b) 42,507 c) 75,243
d) 9,73,127 e) 13,24,797 f) 44,345
g) 1,01,922 h) 4,35,242
5. a) 2357 + 241 = 2597
b) 5124 – 4563 = 561
c) 4829 + 381 = 5210
d) 7834 – 2656 = 5178
e) 9,45,340 + 10,029 = 9,55,369
f) 1,48,548 – 64,231 = 84,317
g) 3,64,734 + 5,38,841 = 9,03,575
h) 2,89,022 – 1,80,926 = 1,08,096
6. 3452 + 4882 → 8334
54,345 – 8817 → 45,528
7509 + 8010 → 15,519
8162 – 482 → 7680
7. 570 kg
8. Amit — 5 , Dinesh — 15, Sahil — 8, Keshav — 13
9. 1st column: 59,395 │ 35,755
8,01,233 │ 49,563 2nd column: 40,766 │ 21,619 │ 64,708 │ 38,649
10. 1st column: 21,518 │ 34,221
4,20,689 │ 54,076 2nd column: 42,193 │ 70,560 │ 53,037 │ 78,704
11.
12. a) 73,000 b) 37,100 c) 9180 d) 43,770 e) 20,500 f) 40,000
PLACE VALUE
14. a) 3630 b) 5780 c) 6,73,010
d) 4065 e) 7300 f) 808 15. 54 m
16. 153 tons 17. 24
18. 1st column: 13,872 │ 11,229
14,872 │ 58,368 2nd column: 8676
14,964 │ 14,140 │ 2493 3rd column:
25 │ 16 │ 253 │ 39
19. 1st column: 35,504 │ 52,479
19,143 │ 8733 2nd column: 15 │ 439
503 │ 56 3rd column: 18 │ 26 │ 27 │ 91
20.
÷ 4 = 4 14 = (remain. 3 (remain. 3 (remain. 1 ) ) )
21. 14 cannot be divided by 4
15 cannot be divided by 4
16 can be divided by 4
17 cannot be divided by 4
22.
a) 24 + 2 × 5 – 12 ÷ 4 3 1 4 2 1 3 4 2 b) 4 × 4 – 12 + 3 × 8 3 1 4 2 c) 24 – 25 ÷ 5 + 10 × 3 3 1 4 2 d) 72 – 7 × 6 – 54 ÷ 9 3 1 2 4 e) 56 – 7 × 6 ÷ 2 + 14 3 4 1 2 f) 43 + 12 – 12 ÷ 4 × 3
23. First perform multiplication and division from left to right, and then addition and subtraction from left to right.
24. 10 trip, 12 people
25. a) 25 ÷5 + 7 = 12 b) 3 × 6 + 5 = 23 c) 7 + 4 × 3 = 19
3. FACTORS AND HIGHEST COMMON FACTOR 24–32 1. a) 1, 12 │ 3, 4 │ 2, 6 b) 1, 21 3, 7 c) 1, 17 d) 1, 54 │ 2, 27 │ 3, 18 6, 9 e) 1, 65 │ 5, 13 f) 1, 72 │ 2, 36 3, 24 │ 4, 18 │ 6, 12 │ 8, 9 2. 2 3. b) comp. c) prime d) comp. 4. 42: 3 × 7 × 2 │ 3 × 2 × 7 │ 14 × 3 7 × 3 × 3 × 1 99: 3 × 3 × 11 │ 3 × 11 × 3 │ 11 × 3 × 3 × 1 │ 11 × 3 × 3
5. So, 459: 1, 3, 9, 17, 27, 51, 153, 459
6. 10, 20, 30, 40, 50
7. a) false b) true c) true
8. 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
9. a) true b) false c) true
10. 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50
11. a) true b) false c) true
12. 1) last digit 2) sum of digits 3) last digit 4) sum of digits 5) last digit
13. 240 │ 420 │ 480 │ 840
14. 12 │ 21 │ 102 │ 120 │ 201 │ 210
15. 24 │ 42 │ 54 │ 552
16. 12: 3 │ 12 8: 2. HCF — 4
17. 6: 2 │ 3 10: 5. HCF — 2
18. 15: 3 16: 4 │ 16. HCF — 1
19. the highest common factor
20. b) 2 c) 6 d) 2 e) 5 f) 3 g) 7 h) 10
4. MULTIPLES AND LEAST COMMON MULTIPLES 33–35
1. 2, 4, 6, 8, 10, 12, 14 4, 8, 12 — common multiples of 4 and 2. So, 4 is the lowest common multiple of 4 and 2.
2. a) 12 │ 24 b) 23 │ 16 c) 49 │ 98
d) 50 │ 100 e) 64 │ 128 f) 75 │ 100
g) 99 │ 198 h) 100 │ 200
3. 4: 12 │ 20 6: 12 │ 24 LCM — 12
4. 3: 6 │ 9 2: 4 │ 12 LCM — 6
5. 5: 5 │ 20 3: 3 │ 9 LCM — 15
6. the lowest common multiple
7. b) 12 c) 15 d) 20 e) 35 f) 24
5. FRACTIONS 36–50
g) 99 h) 60 1. 3. 2.
4. a) whole part b) numerator c) denominator d) fraction part e) fraction bar f) mixed fraction
5. four whole three fourth
PLACE VALUE
23. a)
24. a)
25. a)
27. a) correct b) incorrect
1. a)
five and seven hundred seventy four thousandths
two hundred and thirty four and nineteen hundredths
eighty four and sixty five thousandths
zero and eleven hundredths
twelve and twelve thousandths
12. 1) 0.726 < 0.734 < 0.738
2) 9.21 > 9.14 > 9.11
3) 83.39 < 83.41 < 83.42
4) 57.2 < 57.3 < 57.4
5) 82.406 < 82.506 < 82.606
14. a) 10.724 kg b) 4.05 kg c) 8.691 kg
15. 3.167 ≈ 3 │ 0.16 ≈ 16 2.304 ≈ 2 │ 3.2 ≈
16. 4.678 ≈ 4.68 │ 7.264 ≈ 7.3
3.231 ≈ 3 │ 0.40773 ≈ 0.408
4.678 ≈ 4.68 → to hundreds
7.264 ≈ 7.3 → to tens
3.231 ≈ 3 → to ones
0.40773 ≈ 0.408 → to thousandths
18. a) 3 l b) 4 kg
8. OPERATIONS WITH DECIMALS
PLACE VALUE
8. 1st line: 8.08 │ 9.99 │ 4.2
2nd line: 8.24 │ 6.82 │ 4.14
2. a) wrong b) correct
3. a) wrong b) correct
4. 6.749 – 3.425 → 3.324
5.154 – 4.732 → 0.422
9.648 – 8.324 → 1.324
7.106 – 4.683 → 2.423
5. 1st column:
63.686 │ 61.7626 │ 586.08 │ 357.39
2nd column: 26.702 │ 315.11
40.369 │ 487.559
6. a) correct b) incorrect c) incorrect
7. a) 1.4 2.3 22 3 42 28 × + . b) 3.5 2 8.7 20445 16 45 1808 × + .
9. 1st column: 3137.1 │ 52510
4243 2nd column 921.52 │ 0.004781
2.385
10. a) 3 tenths b) 1 hundredth c) 1 thousandth
11. 1st line: 1.11 │ 3.12 │ 2.14
2nd line: 2.07 │ 1.32 │ 22.1
12. not change
13. a) 0.35 ÷ 0.5 = 3.5 ÷ 5 = 0.7
b) 5.6 ÷ 0.08 = 560 ÷ 8 = 70 c) 0.42 ÷ 0.7 = 4.2 ÷ 7 = 0.6
14. 2
15. 1st column: 4128 │ 0.93812 │ 189 │ 1.632
9. LINES AND ANGLES 75–92 4 9 5 h) 6. .4 1. 2 8 4 1 24 –
2nd column: 75 │ 43.75 │ 63.75 │ 1.6
1. Point │ Curved │ Straight
2. Curved │ Straight
3. Ray │ Line segment 4. 6 5. 4
6. a; CD 7. D; K; E
8. Infinitely many straight lines
9. Only one straight line
10. Infinite │ Infinite │ Infinite One
12. АС 13.
14. Two; Point
15. a)
16. BA is an arm; BC is an arm; B is a vertex
17. BA; BC; ABC
18. Straight angles: ABC; NBM Right angles: NBC; MBC; ABM; ABN
19.
20.
21.
22. 1st figure: 3; 3 2nd figure: 4; 4 3rd figure: 5; 5
23.
24.
25. Pentagon; Hexagon; Quadrilateral
26. 1) one, right-angle 2) one, obtuse 3) all, acute 4) two, equal 5) all, equal
27.
28. Both are righ
29. a) AB, BC: side AC: base
b) FD, DE: side FE: base
30. ACD; COD 31. ESK; CBO
32. CO and CD; AB and AE
33. Both are right
PLACE VALUE
10. PATTERNS AND SYMMETRY 93–98
1. a) 100 │ 250 b) 15 │ 20 │ 35 c) 500 │ 1500 │ 3000
2. a) b)
36.
4. 1st column: 512 │ 405 │ 243
240 │ 36 2nd column: 224 │ 320 324 │ 31 │ 21
5. 1st column: 16 │ 256 │ 1024 2nd column: 25 │ 125 │ 625 3rd column: 100 │ 1000 │ 1,00,000
6. a) symmetrical b) nonsymmetrical c) symmetrical d) symmetrical
7. a) 2 b) 0 c) 0 d) an infinite number of lines of symmetry
8. a, c, d
11. LENGTH AND WEIGHT 99–111 9.
1. 7 cm 2. 4 cm 3. 6 cm 4.
5. 10 cm = 1 dm
6. a) 3 dm = 30 cm c) 40 cm = 4 dm
b) 15 dm = 150 cm d) 90 cm = 9 dm
7. 1 dm 2 cm 8. 9 dm
9. 20 cm – 10 cm = 1 dm
50 cm + 3 dm = 8 dm
5 dm + 4 dm = 90 cm
6 dm – 10 cm = 50 cm
10. Stool is shorter than the table by 30 cm.
11. a) 28 mm < 3 cm
b) 13 mm > 1 cm
c) 30 mm < 3 dm
d) 45 cm > 4 dm
e) 900 mm = 9 dm
f) 57 mm < 7 cm
12. a) 4 cm 6 mm b) 9 cm 1 mm
13. 10 dm = 1 m
14. a) 2 cm 3 mm b) 2 cm 8 mm
15. a) centimeters b) meters c) millimeters
16. 1000 m = 1 km 17. 25 m
18. 11 dm 19.
20.
1. 3 m 5 dm = 30 dm + 5 dm = 35 dm
2. 1 m 30 cm = 10 dm + 3 dm = 13 dm
3. 35 dm – 13 dm = 22 dm
21. a) 60 m; 700 cm; 60 dm; 60 cm; 60 m b) 50 m; 505 cm; 50 dm; 50 cm; 50 mm
22. a) 1 m 51 cm b) 11 m 90 cm
PLACE VALUE
23. a) 2 kg b) 1 kg
24. a) 5800 g = 5 kg 800 g
6 kg 800 g = 6800 g
b) 3 kg 750 g = 3750 g
3650 g = 3 kg 650 g
c) 16000 g = 16 kg
16 kg 700 g = 16700 g
25. a) grams b) kilograms c) grams
12. PERIMETER AND AREA 112–116
8. 1) Perimeter = AB + BC + CD + DA = = 8 + 11 + 8 + 11 = 38 cm 2) Area = AB × BC = 8 × 11 = 88 cm²
9. 1) 24 cm 2) 24 cm 5) 35 cm² 3) 7 + 5 + 7 + 5 = 24 cm 4) 36 cm²
10. Perimeter = 62 m Area = 165.5 m²
13. CAPACITY AND VOLUME 117–120
1. Right 2. a) 200 ml b) 5 l c) 13 kl
3. 3 L 4. 2 L 5. 3 L
6. 1st figure: V = 4 × 3 × 5 = 60 m³ 2nd figure: V = 10 × 2 × 3 = 60 m³ 7. a) 10 b) 11 c) 19 d) 27
14. TOPIC: 3-D SHAPES ON FLAT SURFACES 121–126
3. a)
6. 30 m
5. a) 16 cm b) 19 cm c) 23 cm
6. Sum; 24 cm
7. a) 16 cm; 16 cm² b) 20 cm; 24 cm²
3. a; b; c; e; f; h
6. b
7. 5.
8. Museum — north
Market — north-east
Circus and Hospital — north-west
Tyre centre — south-east
15. TIME AND TEMPERATURE 127–130
1. 60 minutes (1 hour)
2. a) weeks b) hours c) seconds
3. a) 9:21 b) 10 h 15 min c) quarter past twelve
4. 11 h 10 min 5. 20:20
6. a) 1 days 2 h > 25 h
b) 190 sec < 3 min 20 sec
c) 4 h 45 min > 275 min
d) 3 min 5 sec > 180 sec
7. 37.2 degrees
8. Ice –60 ℃ to 0℃
Freezer –30 ℃ to –10℃
Weather –50 ℃ to 50℃
Water 0 ℃ to 100℃
Oven 50 ℃ to 250℃
16. MONEY 131–133
1. ₹ 4.57 → 457 p; ₹ 5.99 → 599 p; ₹ 10.2 → 1020 p; ₹ 7.02 → 702 p
2. а) 2800 ₹ b) 210 ₹ 3. 5000 ₹
4. 19,500 ₹ 5. 5 6. 670 ₹ 7. 483 ₹
17. DATA HANDLING 134–140
1. a) 17 b) 44 2. a) 54 b) 6
3. Team 1 — 3rd place; Team 2 — 2nd place; Team 3 — 4th place; Team 4 — 1st place
4. cat 5. a) 400 b) 12
6. a) 3600 b) 2010
7. a) 8000 km² b) 6 o’clock
c) 50 min
