#### Chapters

Chapter 2: Multiplication and Division of Integers

Chapter 3: HCF and LCM

Chapter 4: Angles and Pairs of Angles

Chapter 5: Operations on Rational Numbers

Chapter 6: Indices

Chapter 7: Joint Bar Graph

Chapter 8: Algebraic Expressions and Operations on Them

Chapter 9: Direct Proportion and Inverse Proportion

Chapter 10: Banks and Simple Interest

Chapter 11: Circle

Chapter 12: Perimeter and Area

Chapter 13: Pythagoras’ Theorem

Chapter 14: Algebraic Formulae - Expansion of Squares

Chapter 15: Statistics

Chapter 16: Miscellaneous Problems : Set 1

Chapter 17: Miscellaneous Problems : Set 2

## Chapter 17: Miscellaneous Problems : Set 2

### Balbharati solutions for Mathematics 7th Standard Maharashtra State Board Chapter 17 Miscellaneous Problems : Set 2 Exercise [Page 100]

Angela deposited 15000 rupees in a bank at a rate of 9 p.c.p.a. She got simple interest amounting to 5400 rupees. For how many years had she deposited the amount?

Ten men take 4 days to complete the task of tarring a road. How many days would 8 men take?

Nasruddin and Mahesh invested Rs 40,000 and Rs 60,000 respectively to start a business. They made a profit of 30%. How much profit did each of them make?

The diameter of a circle is 5.6 cm. Find its circumference.

Expand: (2a – 3b)^{2}

Expand: (10 + y)^{2}

Expand: `("p"/3 + "q"/4)^2`

Expand: `("y" - 3/"y")^2`

Use a formula to multiply of (x - 5)(x + 5).

Use a formula to multiply of (2a – 13)(2a + 13)

Use a formula to multiply of (4z – 5y)(4z + 5y)

Use a formula to multiply of (2t – 5)(2t + 5)

The diameter of the wheel of a cart is 1.05 m. How much distance will the cart cover in 1000 rotations of the wheel?

The area of a rectangular garden of length 40 m, is 1000 sqm. Find the breadth of the garden and its perimeter. The garden is to be enclosed by 3 rounds of fencing, leaving an entrance of 4 m. Find the cost of fencing the garden at a rate of 250 rupees per metre.

From the given figure, find the length of hypotenuse AC and the perimeter of ∆ABC.

If the edge of a cube is 8 cm long, find its total surface area.

Factorise: 365y^{4}z^{3} – 146y^{2}z^{4 }

### Balbharati solutions for Mathematics 7th Standard Maharashtra State Board Chapter 17 Miscellaneous Problems : Set 2 Multiple choice Questions [Page 100]

**Choose the right answers from the option:**

If the average of the numbers 33, 34, 35, x , 37, 38, 39 is 36, what is the value of x?

40

32

42

36

**Choose the right answers from the option:**

The difference of the squares, (61^{2} – 51^{2} ) is equal to ______.

1120

1230

1240

1250

**Choose the right answers from the option.**

If 2600 rupees are divided between Sameer and Smita in the proportion 8 : 5, the share of each is _______ and _______ respectively.

Rs 1500, Rs 1100

Rs 1300, Rs 900

Rs 800, Rs 500

Rs 1600, Rs 1000

## Chapter 17: Miscellaneous Problems : Set 2

## Balbharati solutions for Mathematics 7th Standard Maharashtra State Board chapter 17 - Miscellaneous Problems : Set 2

Balbharati solutions for Mathematics 7th Standard Maharashtra State Board chapter 17 (Miscellaneous Problems : Set 2) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Mathematics 7th Standard Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics 7th Standard Maharashtra State Board chapter 17 Miscellaneous Problems : Set 2 are Concept of Direct Proportion, Concept of Inverse Proportion, Partnership, Variations, Bank, Concept of Principal, Interest, Amount, and Simple Interest, Arc of the Circle, Circumference of a Circle, Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles, Central Angle and the Measure of an Arc, Area of Rectangle, Area of a Triangle, Surface Area of a Cuboid, Perimeter of Polygon, Concept of Perimeter, Concept of Area, Area of Square, Surface Area of a Cube, Perimeter of a Rectangle, Right-angled Triangles and Pythagoras Property, Expansion of (a + b)2 = a2 + 2ab + b2, Factorising Binomial, Expansion of (a - b)2 = a2 - 2ab + b2, Expansion of (a + b)(a - b), Factorising Algebraic Expressions, Frequency Distribution Table, Concept of Representative Values - Average, Concepts of Statistics.

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