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Measurements Two Marks Questions

8th Standard EM

Reg.No. :
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Maths

Time : 00:45:00 Hrs
Total Marks : 30
15 x 2 = 30
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 area of a sector whose length of the arc is 50 mm and radius is 14 mm.

4. Find the area of a sector whose perimeter is 64 cm and length of the arc is 44 cm.

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. Find the area of the shaded part of the following figures. ( π = 3.14 )

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

8. Find the area of the irregular polygon shaped fields given below

9. Which 3-D shapes do the following nets represent? Draw them.

10. 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
11. 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.

12. $\frac{22}{7}$ and 3.14 are rational numbers. Is 'π' a rational number? Why?

13. Fill the central angle of the shaded sector (each circle is divided into equal sectors)

14. Show that the area of the unshaded regions in each of the squares of side 'a' units are the same in all the cases given below.

15. If π = $\frac{22}{7}$ show that the area of the unshaded part of a square of side 'a' units is approximately $\frac{3}{7}$ a2 sq. units and that of the shaded part is approximately $\frac47$ a2 sq. units for the given figure.