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#### Measurements Model Question Paper

8th Standard EM

Reg.No. :
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Maths

Time : 01:30:00 Hrs
Total Marks : 50
4 x 1 = 4
1. The ratio between the circumference and diameter of any circle is_______

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π

2. The radius of a circle of diameter 24 cm is __________.

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12 cm

3. A cube has _________ faces.

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Six

4. If a net of a 3-D shape has six plane squares, then it is called ______.

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Cube

5. 11 x 2 = 22
6. For the sectors with given measures, find the length of the arc, area and perimeter.(π=3.14)
(i) central angle 45º , r = 16 cm
(ii) central angle 120º, d =12.6 cm
(iii) central angle 60º, r =36 cm
(iv) central angle 72º, d =10 cm

7. 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
8. Find the area of a sector whose length of the arc is 50 mm and radius is 14 mm.

9. A sector of radius 4.2 cm has an area 9.24 cm2. Find its perimeter.

10. Find the perimeter and area of the combined figures given below. $\left( \pi =\frac { 22 }{ 7 } \right)$

11. Find the perimeter and area of the combined figures given below. $\left( \pi =\frac { 22 }{ 7 } \right)$

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

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

14. Two gates are fitted at the entrance of a library. To open the gates easily, a wheel is fixed at 6 feet distance from the wall to which the gate is fixed. If one of the gates is opened to 90º, find the distance moved by the wheel (π = 3.14).

15. Draw the top, front and side view of the following solid shapes

16. In a rectangular field which measures 15 m × 8m, cows are tied with a rope of length 3m at four corners of the field and also at the centre. Find the area of the field where none of the cow can graze. (π = 3.14)

17. 3 x 3 = 9
18. The radius of a sector is 21cm and its central angle is 120 °. Find the length of the arc

19. The radius of a sector is 21cm and its central angle is 120 °. Find perimeter of sector.

20. A spinner of radius 7.5 cm is divided into 6 equal sectors. Find the area of each of the sectors.

21. 3 x 5 = 15
22. Find the area of the blue shaded and the grey shaded part of the given Fig.2.28.(π = 3.14)

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

24. Find the perimeter of sector whose area is 324 sq. em and radius is 27 cm.