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Pract Is

The document contains various mathematical problems divided into sections on percentages, profit and loss, lines and angles, triangles and their properties, and perimeter and area. Each section includes multiple questions requiring calculations and definitions. Additionally, there is a bonus question related to the area of a path around a rectangular garden.

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saksham.guptaks
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10 views2 pages

Pract Is

The document contains various mathematical problems divided into sections on percentages, profit and loss, lines and angles, triangles and their properties, and perimeter and area. Each section includes multiple questions requiring calculations and definitions. Additionally, there is a bonus question related to the area of a path around a rectangular garden.

Uploaded by

saksham.guptaks
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Section A: Percentage

1. Convert the following fractions into percentages:


b) 7/8
c) 2/3

2. Find 25% of the following numbers: a) 200


b) 640
c) 1280

3. A school has 800 students. If 60% of them are girls, how many girls are
there in the school?

4. A shopkeeper gives a 20% discount on a product that costs Rs. 500.


Find the selling price of the product.

Section B: Profit and Loss

5. A shopkeeper buys a bicycle for Rs. 3500 and sells it for Rs. 4200. Find
the profit and profit percentage.

6. A dress costs Rs. 1200. If a 15% discount is given, find the selling price
of the dress.

7. A trader bought an article for Rs. 6000 and sold it at a loss of 10%. Find
the selling price of the article.

8. Find the cost price if: a) Selling price = Rs. 8800, Profit = 10% b) Selling
price = Rs. 7650, Loss = 5%

Section C: Lines and Angles

9. Define the following terms: a) Complementary angles


b) Supplementary angles
c) Vertically opposite angles

10. Find the unknown angles in the following cases: a) Two


complementary angles are in the ratio 2:3. b) Two supplementary
angles are in the ratio 5:7.

11. If one angle of a linear pair is 65°, find the other angle.

12. In a triangle, one of the angles is 90° and another angle is 35°.
Find the third angle.
Section D: Triangle and Its Properties

13. A triangle has angles in the ratio 3:4:5. Find the measures of the
angles.

14. The two sides of a triangle are 6 cm and 8 cm. The third side is
10 cm. Verify if the triangle is a right-angled triangle.

15. The perimeter of an equilateral triangle is 36 cm. Find the length


of each side.

16. The base of a triangle is 15 cm, and its height is 12 cm. Find the
area of the triangle.

Section E: Perimeter and Area

17. Find the perimeter and area of a rectangle whose length is 14 cm


and breadth is 9 cm.

18. The side of a square is 12 cm. Find its area and perimeter.

19. A circle has a radius of 7 cm. Find its circumference and area
(Take ).

20. A field is in the shape of a parallelogram with a base of 20 m and


a height of 15 m. Find its area.

Bonus Question:

21. A rectangular garden has a length of 50 m and a breadth of 30 m.


A path of 2 m width is built around it. Find the area of the path.

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