Class – 10th

Subjects – Mathematics (Areas related to circles and surface area and volumes)

General Instructions:

• All questions are compulsory.

2 marks type Questions. AND 3 marks type Questions.

Q1. In figure 1, find the area of the shaded region. (Use [pic] =3.14) {ans. 72.665 cm2}

Q2. A playground in the form of a rectangle having semicircles on the shorter sides as shown in fig. 2. Find its area when the length of the rectangular portion is 80 m and the breadth is 42 m. {Ans. 4746 cm2 ) Q3. A toy is in the form of a cone mounted on a hemisphere of common base radius 7cm. the total height of the toy is 31 cm. find the total surface area of the toy. {ANS 858 cm2} Q4. Four equal circles are described about four corners of a square so that each touches two of the others, as shown in fig. Find the area of the shaded region, each side of the square measuring 14cm. (take use [pic]=[pic]) {Ans. 42 Sq. cm}

Q5. In figure PQ=24cm, PR = 7cm and o is the centre of the circle. Find the area of shaded region (take use [pic]=3.14) {Ans. 161.31 cm2 }

Q6. 2 cubes each of volume 64cm3 are joined end to end. Find the surface area of the resulting cuboid. Q7. The length of the minute hand of a clock is 14cm. find the area swept by the minute hand in 5 minutes. (Use [pic]=[pic]) {ANS= 51.3 cm2}.

Q8. Find the area of the shaded region in fig. if AC= 24cm, BC = 10cm and o is the centre of the circle. Use[pic] = [pic] [ANS. 145.53 cm2}

Q.9. In figure, find the area of the shaded region, if ABCD is rectangle with AB =80 cm and BC = 70 cm . Angle AED =900 and DE = 42 cm and a semicircle is drawn with BC as a diameter. Take π= [pic]{ANS= 2499cm2}

Q10. The radius of the base and the height of a solid right circular cylinder are in the ratio2:3 and its volume are 1617. Cm3. find the total surface area of the cylinder. {Use π=[pic]} Q11. A square...

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