#### Class 8th Standard New Syllabus Creative Question In Measurements Chapter

8th Standard 2019 EM

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Maths

Use Blue Ink Pen Only

Time : 02:00:00 Hrs
Total Marks : 60

Part-A

Answer The Following Questions

14 x 2 = 28
1. Find the central angle of the shaded sectors (each circle is divided into equal sectors).

 Sectors Central angle of each sector (θ°)

2. From the measures given below, find the area of the sectors.

 S.No length of the arc (l) radius (r) (i) 48 m 10 m (ii) 12.5 cm 6 m (iii) 50 cm 13.4 cm
3. Find the central angle of each of the sectors whose measures are given below. $\left( \pi =\frac { 22 }{ 7 } \right)$

 S.No area (A) length of the arc (l) radius (r) (i) 462 cm2 - 21 cm (ii) 18.48 cm2 - 8.4 cm (iii) 44 m 35 m (iv) - 22 mm 105 mm
4. Infront of a house, flower plants are grown in a circular quardant shaped pot whose radius is 2 feet. Find the area of the pot in which the plants grow.( ㅠ=3.14)

5. A circle is formed with 8 equal granite stones as shown in the figure each of radius 56 cm and whose central angle is 45º. Find the area of each of the granite$\left( \pi =\frac { 22 }{ 7 } \right)$

6. The door mat which is in a hexagonal shape has the following measures as given in the figure. Find its area.

7. Find the area of an invitation card which has two semicircles attached to a rectangle as in the figure given. $\left( \pi =\frac { 22 }{ 7 } \right)$

8. Find the area of the combined figure given, which has two triangles attached to a rectangle.

9. For each solid, three views are given. Identify for each solid, the corresponding top, front and side (T, F and S) views.

 Solid Three views
10. Draw the top, front and side view of the following solid shapes

11. Draw the net for the cube of side 4 cm in a graph sheet.

12. Guna has fixed a single door of 3 feet wide in his room where as Nathan has fixed a double door, each 1$\frac{1}{2}$ feet wide in his room. From the closed state, if each of the single and double doors can open up to 120, whose door requires a minimum area?

13. Using graph sheet, draw the net for the cuboid whose length is 5 cm, breadth is 4 cm and height is 3 cm and also find its area.

14. Using Euler’s formula, find the unknowns.

 S.No. Faces Vertices Edges (i) ? 6 14 (ii) 8 ? 10 (iii) 20 10 ?
15. Part-B

Answer The Following Questions

1 x 3 = 3
16. Pradeep wants to make a semicircular arch design at the entrance of his house with three equal sectors, as shown in the Fig.2.19 to be fitted in the iron frame. Find the length of the iron frame required and also the area of each of the sectors for which the mirrors to be fixed.

17. Part-C

Answer The Following Questions

6 x 5 = 30
18. Find the area of the blue shaded and the grey shaded part of the given Fig.2.28.(π = 3.14)

19. A key-chain is in the form of an equilateral triangle and a semicircle attached to a square of side 5 cm as shown in the Fig.2.30. Find its area.(π=3.14, √3=1.732)

20. A 3-fold invitation card is given with measures as in the Fig.2.32. Find its area.

21. Seenu wants to buy a floor mat for the kitchen as given in the figure. If the cost of the mat is Rs. 20 per square foot, what will be the cost of the entire mat?

22. Find the area of the shaded region in the square of side 10cm as given in the fig.2.36

23. Find the area of the irregular polygon field whose measures are as given in the figure.