Practice Set 13 Class 7 Answers Chapter 3 HCF and LCM Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 13 Answers Solutions Chapter 3 HCF and LCM.

HCF and LCM Class 7 Maths Chapter 3 Practice Set 13 Solutions Maharashtra Board

Std 7 Maths Practice Set 13 Solutions Answers

Question 1.
Find the LCM:
i. 12, 15
ii. 6, 8, 10
iii. 18, 32
iv. 10, 15, 20
v. 45, 86
vi. 15, 30, 90
vii. 105, 195
viii. 12,15,45
ix. 63,81
x. 18, 36, 27
Solution:
i. 12, 15
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 13 1
∴ LCM of 12 and 15 = 3 x 2 x 2 x 5
= 60

ii. 6, 8, 10
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 13 2
∴ LCM of 6, 8 and 10 = 2 x 2 x 3 x 2 x 5
= 120

iii. 18, 32
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 13 3
∴ LCM of 18 and 32 = 2 x 2 x 2 x 2 x 3 x 3 x 2
= 288

iv. 10, 15, 20
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 13 4
∴ LCM of 10, 15 and 20 = 5 x 2 x 3 x 2
= 60

v. 45, 86
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 13 5
∴ LCM of 45 and 86 = 2 x 3 x 3 x 5 x 43
= 3870

vi. 15, 30, 90
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 13 6
∴ LCM of 15,30 and 90 = 3 x 5 x 2 x 3
= 90

vii. 105, 195
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 13 7
∴ LCM of 105 and 195 = 5 x 3 x 7 x 13
= 1365

viii. 12, 15, 45
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 13 8
∴ LCM of 12, 15 and 45 = 3 x 3 x 2 x 5 x 2
= 180

ix. 63, 81
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 13 9
∴ LCM of 63 and 81 = 3 x 3 x 3 x 7 x 3
= 567

x. 18, 36, 27
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 13 10
∴ LCM of 18, 36 and 27 = 3 x 3 x 2 x 2 x 3
= 108

Question 2.
Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers:
i. 32, 37
ii. 46, 51
iii. 15, 60
iv. 18, 63
v. 78, 104
Solution:
i. 32 = 2 x 16
= 2 x 2 x 8
= 2 x 2 x 2 x 4
= 2 x 2 x 2 x 2 x 2 x 1
37 = 37 x 1
∴ HCF of 32 and 37 =1
LCM of 32 and 37 = 2 x 2 x 2 x 2 x 2 x 37
= 1184
HCF x LCM = 1 x 1184
= 1184
Product of the given numbers = 32 x 37
= 1184
∴ HCF x LCM = Product of the given numbers.

ii. 46 = 2 x 23 x 1
51 = 3 x 17 x 1
∴ HCF of 46 and 51 = 1
LCM of 46 and 51 = 2 x 23 x 3 x 17
= 2346
HCF x LCM = 1 x 2346
= 2346
Product of the given numbers = 46 x 51
= 2346
∴ HCF x LCM = Product of the given numbers.

iii. 15 = 3 x 5
60 = 2 x 30
= 2 x 2 x 15
= 2 x 2 x 3 x 5
∴ HCF of 15 and 60 = 3 x 5
= 15
LCM of 15 and 60 = 3 x 5 x 2 x 2
= 60
HCF x LCM = 15 x 60
= 900
Product of the given numbers = 15 x 60
= 900
∴ HCF x LCM = Product of the given numbers.

iv. 18 = 2 x 9
= 2 x 3 x 3
63 = 3 x 21
= 3 x 3 x 7
∴ HCF of 18 and 63 = 3 x 3
= 9
LCM of 18 and 63 = 3 x 3 x 2 x 7
= 126
HCF x LCM = 9 x 126
= 1134
Product of the given numbers = 18 x 63
= 1134
∴ HCF x LCM = Product of the given numbers.

v. 78 = 2 x 39
= 2 x 3 x 13
104 = 2 x 52
= 2 x 2 x 26
= 2 x 2 x 2 x 13
∴ HCF of 78 and 104 = 2 x 13
= 26
LCM of 78 and 104 = 2 x 13 x 3 x 2 x 2
= 312
HCF x LCM = 26 x 312
= 8112
Product of the given numbers = 78 x 104
= 8112
∴ HCF x LCM = Product of the given numbers.

Maharashtra Board Class 7 Maths Chapter 3 HCF and LCM Practice Set 13 Intext Questions and Activities

Question 1.
Write the tables of the given numbers and find their LCM. (Textbook pg. no. 19)
i. 6, 7
ii. 8, 12
iii. 5, 6, 15
Solution:
i. Multiples of 6 : 6, 12, 18, 24, 30, 36, 42
Multiples of 7 : 7, 14, 21, 28, 35, 42, 49
∴ LCM of 6 and 7 = 42

ii. Multiples of 8 : 8, 16, 24, 32, 40
Multiples of 12 : 12, 24, 36, 48
∴ LCM of 8 and 12 = 24

iii. Multiples of 5 : 5, 10, 15, 20, 25, 30, 35
Multiples of 6 : 6, 12, 18, 24, 30, 36
Multiples of 15 : 15, 30, 45, 60
∴ LCM of 5,6 and 15 = 30

Std 7 Maths Digest

Practice Set 11 Class 7 Answers Chapter 3 HCF and LCM Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 11 Answers Solutions Chapter 3 HCF and LCM.

HCF and LCM Class 7 Maths Chapter 3 Practice Set 11 Solutions Maharashtra Board

Std 7 Maths Practice Set 11 Solutions Answers

Question 1.
Factorize the following numbers into primes:
i. 32
ii. 57
iii. 23
iv. 150
v. 216
vi. 208
vii. 765
viii. 342
ix. 377
x. 559
Solution:
i. 32
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 11 1
∴ 32 = 2 × 2 × 2 × 2 × 2

ii. 57
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 11 2
∴ 57 = 3 × 19

iii. 23
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 11 3
∴ 23 = 23 × 1

iv. 150
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 11 4
∴ 150 = 2 × 3 × 5 × 5

v. 216
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 11 5
∴ 216 = 2 × 2 × 2 × 3 × 3 × 3

vi. 208
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 11 6
∴ 208 = 2 × 2 × 2 × 2 × 13

vii. 765
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 11 7
∴ 765 = 3 × 3 × 5 × 17

viii. 342
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 11 8
∴ 342 = 2 × 3 × 3 × 19

ix. 377
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 11 9
∴ 377 = 13 × 29

x. 559
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 11 10
∴ 559 = 13 × 43

Std 7 Maths Digest

Practice Set 10 Class 7 Answers Chapter 3 HCF and LCM Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 10 Answers Solutions Chapter 3 HCF and LCM.

HCF and LCM Class 7 Maths Chapter 3 Practice Set 10 Solutions Maharashtra Board

Std 7 Maths Practice Set 10 Solutions Answers

Question 1.
Which number is neither a prime number nor a composite number?
Solution:
1

Question 2.
Which of the following are pairs of co-primes?
i. 8,14
ii. 4,5
iii. 17,19
iv. 27,15
Solution:
i. Factors of 8: 1, 2, 4, 8
Factors of 14: 1, 2, 7, 14
∴ Common factors of 8 and 14: 1,2
∴ 8 and 14 are not a pair of co-prime numbers.

ii. Factors of 4: 1, 4
Factors of 5: 1, 5
∴ Common factors of 4 and 5: 1
∴ 4 and 5 are a pair of co-prime numbers.

iii. Factors of 17: 1, 17
Factors of 19: 1, 19
∴ Common factors of 17 and 19: 1
∴ 17 and 19 are a pair of co-prime numbers.

iv. Factors of 27: 1, 3, 9, 27
Factors of 15: 1, 3, 5, 15 .
∴ Common factors of 27 and 15 : 1,3
∴ 27 and 15 are not a pair of co-prime numbers.

Question 3.
List the prime numbers from 25 to 100 and say how many they are.
Solution:
29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
There are 16 prime numbers from 25 to 100.

Question 4.
Write all the twin prime numbers from 51 to 100.
Solution:

  1. 59 and 61
  2. 71 and 73

Question 5.
Write 5 pairs of twin prime numbers from 1 to 50.
Solution:

  1. 3,5
  2. 5,7
  3. 11,13
  4. 17,19
  5. 29,31
  6. 41,43

Question 6.
Which are the even prime numbers?
Solution:
2

Maharashtra Board Class 7 Maths Chapter 3 HCF and LCM Practice Set 10 Intext Questions and Activities

Question 1.
Answer the following questions. (Textbook pg. no. 15)
i. Which is the smallest prime number?
ii. List the prime numbers from 1 to 50. How many are they?
iii. Identify the prime numbers in the list below.
17, 15 ,4, 3, 1, 2, 12, 23, 27, 35, 41, 43, 58, 51, 72, 79, 91, 97.
Solution:
i. 2 is the smallest prime number.
ii. There are 15 prime numbers from 1 to 50.
They are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.
iii. [17], 15 ,4, [3], 1, [2], 12, [23], 27, 35, [41], [43], 58, 51, 72, [79], 91, [97].

Std 7 Maths Digest

Practice Set 9 Class 7 Answers Chapter 2 Multiplication and Division of Integers Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 9 Answers Solutions Chapter 2 Multiplication and Division of Integers.

Multiplication and Division of Integers Class 7 Maths Chapter 2 Practice Set 9 Solutions Maharashtra Board

Std 7 Maths Practice Set 9 Solutions Answers

Question 1.
Solve
i. (-96) ÷ 16
ii. 98 ÷ (-28)
iii. (-51) ÷ 68
iv. 38 ÷ (-57)
v. (-85) ÷ 20
vi. (-150) ÷ (-25)
vii. 100 ÷ 60
viii. 9 ÷ (-54)
ix. 78 ÷ 65
x. (-5) ÷ (-315)
Solution:
i. (-96) ÷ 16
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 1

ii. 98 ÷ (-28)
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 2

iii. (-51) ÷ 68
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 3

iv. 38 ÷ (-57)
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 4

v. (-85) ÷ 20
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 5

vi. (-150) ÷ (-25)
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 6

vii. 100 ÷ 60
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 7

viii. 9 ÷ (-54)
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 8

ix. 78 ÷ 65
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 9

x. (-5) ÷ (-315)
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 10

Question 2.
Write three divisions of integers such that the fractional form of each will be \(\frac { 24 }{ 5 }\).
Solution:

  1. \(\frac{24}{5}=\frac{24 \times 1}{5 \times 1}=\frac{24}{5}=24 \div 5\)
  2. \(\frac{24}{5}=\frac{24 \times 2}{5 \times 2}=\frac{48}{10}=48 \div 10\)
  3. \(\frac{24}{5}=\frac{24 \times(-10)}{5 \times(-10)}=\frac{-240}{-50}=(-240) \div(-50)\)

Question 3.
Write three divisions of integers such that the fractional form of each will be \(\frac { -5 }{ 7 }\).
Solution:

  1. \(\frac{-5}{7}=\frac{-5 \times 2}{7 \times 2}=\frac{-10}{14}=(-10) \div 14\)
  2. \(\frac{-5}{7}=\frac{-5 \times(-5)}{7 \times(-5)}=\frac{25}{-35}=25 \div(-35)\)
  3. \(\frac{-5}{7}=\frac{-5 \times 7}{7 \times 7}=\frac{-35}{49}=(-35) \div 49\)

Question 4.
The fish in the pond below, carry some numbers. (Choose any 4 pairs and carry out four multiplications with those numbers. Now, choose four other pairs and carry out divisions with these numbers.
Examples:
i. (-13) × (-15) = 195
ii. (-24) ÷ 9 = \(\frac{-24}{9}=\frac{-8}{3}\)
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 9 11
Solution:

  1. (-13) × 9 = -117
  2. 12 × 13 = 156
  3. 9 × (-37) = -333
  4. (-15) × (-8) = 120
  5. \((-28) \div 12=\frac{-28}{12}=\frac{(-1) \times(28)}{12}=\frac{-7}{3}\)
  6. \(12 \div 9=\frac{12}{9}=\frac{4}{3}\)
  7. \(9 \div(-24)=\frac{9}{-24}=\frac{9}{(-1) \times 24}=\frac{-3}{8}\)
  8. \((-18) \div(-27)=\frac{-18}{-27}=\frac{(-1) \times 18}{(-1) \times 27}=\frac{2}{3}\)

Note: Problems 2, 3 and 4 have many answers. Students may write answers other than the ones given.

Std 7 Maths Digest

Practice Set 8 Class 7 Answers Chapter 2 Multiplication and Division of Integers Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 8 Answers Solutions Chapter 2 Multiplication and Division of Integers.

Multiplication and Division of Integers Class 7 Maths Chapter 2 Practice Set 8 Solutions Maharashtra Board

Std 7 Maths Practice Set 8 Solutions Answers

Question 1.
Multiply:

  1. (-5) × (-7)
  2. (-9) × (6)
  3. (9) × (-4)
  4. (8) × (-7)
  5. (-124) × (-1)
  6. (-12) × (-7)
  7. (-63) × (-7)
  8. (-7) × (15)

Solution:

  1. 35
  2. -54
  3. -36
  4. -56
  5. 124
  6. 84
  7. 441
  8. -105

Maharashtra Board Class 7 Maths Chapter 2 Multiplication and Division of Integers Practice Set 8 Intext Questions and Activities

Question 1.
In the previous class, we have learnt to add and subtract integers. Using those methods, fill in the blanks below. (Textbook pg. no. 11)

  1. 5 + 7 = __
  2. 10 + (-5) = __
  3. -4 + 3 = __
  4. (-7) + (-2) = __
  5. (+8) – (+ 3) = __
  6. (+8) – (-3) = __

Solution:

  1. 12
  2. 5
  3. -1
  4. -9
  5. 5
  6. 11

Question 2.
Write a number in each bracket to obtain the answer ‘3’ in each operation. (Textbook pg. no. 11)
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 8 1
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 8 2

Question 3.
Multiply the given integers and complete the table given below. (Textbook pg. no. 12)
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 8 3
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 2 Multiplication and Division of Integers Practice Set 8 4

Std 7 Maths Digest

Practice Set 5 Class 7 Answers Chapter 1 Geometrical Constructions Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 5 Answers Solutions Chapter 1 Geometrical Constructions.

Geometrical Constructions Class 7 Maths Chapter 1 Practice Set 5 Solutions Maharashtra Board

Std 7 Maths Practice Set 5 Solutions Answers

Construct triangles of the measures given below:

Question 1.
In ∆MAN, m∠MAN = 90°, l(AN) = 8 cm, l(MN) = 10 cm.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 5 1

Question 2.
In the right-angled ∆STU, hypotenuse SU = 5cm and l(ST) = 4cm.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 5 2

Question 3.
In ∆ABC, l(AC) = 7.5 cm, m∠ABC = 90°, l(BC) = 5.5cm.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 5 3

Question 4.
In ∆PQR, l(PQ) = 4.5 cm, l(PR) = 11.7cm, m∠PQR = 90°.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 5 4

Question 5.
Students should take examples of their own and practice construction of triangles.
i. In ∆PQR, l(PQ) = 5 cm, l(QR) = 6.8 cm, l(PR) = 5.5 cm.
ii. In ∆XYZ, l(XY) = 5.7 cm, m∠Y = 120°, l(YZ) = 7 cm.
iii. In ∆RST, l(ST) = 6.7 cm, m∠S = 60°, m∠T = 40°.
iv. In ∆UVW, m∠U = 90°, l(UV) = 5 cm, l(VW) = 6 cm.
Solution:
i. In ∆PQR, l(PQ) = 5 cm, l(QR) = 6.8 cm, l(PR) = 5.5 cm.
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 5 5

ii. In ∆XYZ, l(XY) = 5.7 cm, m∠Y = 120°, l(YZ) = 7 cm.
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 5 6

iii. In ∆RST, l(ST) = 6.7 cm, m∠S = 60°, m∠T = 40°.
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 5 7

iv. In ∆UVW, m∠U = 90°, l(UV) = 5 cm, l(VW) = 6 cm.
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 5 8

Std 7 Maths Digest

Practice Set 4 Class 7 Answers Chapter 1 Geometrical Constructions Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 4 Answers Solutions Chapter 1 Geometrical Constructions.

Geometrical Constructions Class 7 Maths Chapter 1 Practice Set 4 Solutions Maharashtra Board

Std 7 Maths Practice Set 4 Solutions Answers

Construct triangles of the measures given below:

Question 1.
In ∆SAT, l(AT) = 6.4 cm, m∠A = 45°, m∠T = 105°.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 4 1

Question 2.
In ∆MNP, l(NP) = 5.2 cm, m∠N = 70°, m∠P = 40°
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 4 2

Question 3.
In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°.
Solution:
In ∆EFG,
m∠E + m∠F + m∠G = 180° …(sum of measures of angles of a triangle)
m∠E + 65° + 45° = 180°
m∠E + 110° = 180°
m∠E = 180° – 110°
m∠E = 70°
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 4 3

Question 4.
In ∆XYZ, l(XY) = 7.3 cm, m∠X = 34°, m∠Y = 95°.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 4 4

Maharashtra Board Class 7 Maths Chapter 1 Geometrical Constructions Practice Set 4 Intext Questions and Activities

Question 1.
In ∆ABC, m∠A = 60°, m∠B = 40°, l(AC) = 6 cm. (Textbook pg. no. 5)
1. Can you draw ∆ABC?
2. What further information is required before it can be drawn?
3. Which property can be used to get it?
4. Draw the rough figure to find out.
Solution:
1. ∆ABC cannot be drawn using the given information.
Seg AC is included inside the angles ∠A and ∠C. Since measure of ∠C is not known, the triangle cannot be drawn.
2. To draw the triangle, measure of ∠C is required.
3. The property of sum of the measures of the angles of a triangle can be used to find out m∠C.
4. In ∆ABC,
m∠A + m∠B + m∠C = 180°
∴ 60° + 40° + m∠C = 180°
∴ 100° + m∠C = 180°
m∠C = 180°- 100°
∴ m∠C = 80°
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 4 5

Std 7 Maths Digest

Practice Set 3 Class 7 Answers Chapter 1 Geometrical Constructions Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 3 Answers Solutions Chapter 1 Geometrical Constructions.

Geometrical Constructions Class 7 Maths Chapter 1 Practice Set 3 Solutions Maharashtra Board

Std 7 Maths Practice Set 3 Solutions Answers

Draw triangles with the measures given below:

Question 1.
In ∆MAT, l(MA) = 5.2 cm, m∠A = 80°, l(AT) = 6 cm.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 3 1

Question 2.
In ∆NTS, m∠T = 40°, l(NT) = l(TS) = 5 cm.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 3 2

Question 3.
In ∆FUN, l(FU) = 5 cm, l(UN) = 4.6 cm, m∠U = 110°.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 3 3

Question 4.
In ∆PRS, l(RS) = 5.5 cm, l(RP) = 4.2 cm, m∠R = 90°.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 3 4

Std 7 Maths Digest

Practice Set 12 Class 7 Answers Chapter 3 HCF and LCM Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 12 Answers Solutions Chapter 3 HCF and LCM.

HCF and LCM Class 7 Maths Chapter 3 Practice Set 12 Solutions Maharashtra Board

Std 7 Maths Practice Set 12 Solutions Answers

Question 1.
i. 25, 40
ii. 56, 32
iii. 40, 60, 75
iv. 16, 27
v. 18, 32,48
vi. 105, 154
vii. 42, 45, 48
viii. 57, 75, 102
ix. 56, 57
x. 777, 315, 588
Solution:
i. 25, 40
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 1
∴ 25 = 5 × 5
40 = 2 × 2 × 2 × 5
∴ HCF of 25 and 40 = 5

ii. 56, 32
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 2
∴ 56 = 2 × 2 × 2 × 7
32 = 2 × 2 × 2 × 2 × 2
∴ HCF of 56 and 32 = 2 × 2 × 2
∴ HCF of 56 and 32 = 8

iii. 40, 60, 75
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 3
∴ 40 = 2 × 2 × 2 × 5
60 = 2 × 2 × 3 × 5
75 = 3 × 5 × 5
∴ HCF of 40, 60 and 75 = 5

iv. 16, 27
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 4
∴ 16 = 2 × 2 × 2 × 2 × 1
27 = 3 × 3 × 3 × 1
∴ HCF of 16 and 27 = 1

v. 18, 32,48
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 5
∴ 18 = 2 × 3 × 3
32 = 2 × 2 × 2 × 2 × 2
48 = 2 × 2 × 2 × 2 × 3
∴ HCF of 18, 32 and 48 = 2

vi. 105, 154
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 6
∴ 105 = 3 × 5 × 7
154 = 2 × 2 × 11
∴ HCF of 105 and 154 = 7

vii. 42, 45, 48
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 7
∴ 42 = 2 × 3 × 7
45 = 3 × 3 × 5
48 = 2 × 2 × 2 × 2 × 3
∴ HCF of 42,45 and 48 =3

viii. 57, 75, 102
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 8
∴ 57 = 3 × 19
75 = 3 × 5 × 5
102 = 2 × 3 × 17
∴ HCF of 57, 75 and 102 = 3

ix. 56, 57
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 9
∴ 56 = 2 × 2 × 2 × 7 × 1
57 = 3 × 19 × 1
∴ HCF of 56 and 57 = 1

x. 777, 315, 588
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 10
∴ 777 = 3 × 7 × 37
315 = 3 × 3 × 5 × 7
588 = 2 × 2 × 3 × 7 × 7
∴ HCF of 777, 315 and 588 = 3 × 7
HCF of 777, 315 and 588 = 21

Question 2.
Find the HCF by the division method and reduce to the simplest form:
i. \(\frac { 275 }{ 525 }\)
ii. \(\frac { 76 }{ 133 }\)
iii. \(\frac { 161 }{ 69 }\)
Solution:
i. \(\frac { 275 }{ 525 }\)
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 11

ii. \(\frac { 76 }{ 133 }\)
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 12

iii. \(\frac { 161 }{ 69 }\)
Maharashtra Board Class 7 Maths Solutions Chapter 3 HCF and LCM Practice Set 12 13

Maharashtra Board Class 7 Maths Chapter 3 HCF and LCM Practice Set 12 Intext Questions and Activities

Question 1.
In each of the following examples, write all the factors of the numbers and find the greatest common divisor. (Textbook pg. no. 17)
i. 28, 42
ii. 51, 27
iii. 25, 15, 35
Solution:
i. Factors of 28 = 1,2,4, 7, 14, 28
Factors of 42 = 1,2, 3, 6, 7, 14, 21, 42
∴ HCF of 28 and 42 = 14

ii. Factors of 51 = 1, 3, 17, 51
Factors of 27 = 1, 3, 9, 27
∴ HCF of 51 and 27 = 3

iii. Factors of 25 = 1, 5, 25
Factors of 15 = 1, 3, 5, 15
Factors of 35 = 1, 5, 7, 35
∴ HCF of 25, 15 and 35 = 5

Std 7 Maths Digest

Practice Set 55 Class 7 Answers Maths Chapter 15 Statistics Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 55 Answers Solutions Chapter 15 Statistics.

Statistics Class 7 Maths Chapter 15 Practice Set 55 Solutions Maharashtra Board

Std 7 Maths Practice Set 55 Solutions Answers

Question 1.
The height of 30 children in a class is given in centimeters. Draw up a frequency table of this data.
131, 135, 140, 138, 132, 133, 135, 133, 134, 135, 132, 133, 140, 139, 132, 131, 134, 133, 140, 140, 139, 136, 137, 136, 139, 137, 133, 134, 131, 140
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 15 Statistics Practice Set 55 1

Question 2.
In a certain colony, there are 50 families. The number of people in every family is given below. Draw up the frequency table.
5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 2, 2, 4, 5, 1, 3, 2, 4, 5, 3, 3, 2, 4, 4, 2, 3, 4, 3, 4, 2, 3, 4, 5, 3, 2, 3, 2, 3, 4, 5, 3, 2, 3, 2
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 15 Statistics Practice Set 55 2

Question 3.
A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data.
3, 2, 5, 6, 4, 2, 3, 1, 6, 6, 2, 3, 5, 3, 5, 3, 4, 2, 4, 5, 4, 2, 6, 3, 3, 2, 4, 3, 3, 4, 1, 4, 3, 3, 2, 2, 5, 3, 3, 4.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 15 Statistics Practice Set 55 3

Question 4.
The number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores.
3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 2.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 15 Statistics Practice Set 55 4

Maharashtra Board Class 7 Maths Chapter 15 Statistics Practice Set 55 Intext Questions and Activities

Question 1.
Make groups of 10 children in your class. Find the average height of the children in each group. (Textbook pg. no. 96)
Solution:
(Students should attempt the above activities on their own.)

Question 2.
With the help of your class teacher, note the daily attendance for a week and find the average attendance. (Textbook pg. no. 96)
Solution:
(Students should attempt the above activities on their own.)

Std 7 Maths Digest