IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 709 - 713 of 968

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Question number: 709

» Area, Surface Area & Volume

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MCQ▾

Question

The area of a square and a circle are same. If area of the square is , the distance covered when 4 rounds are taken round the circle (approximately), is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 710

» Area, Surface Area & Volume

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MCQ▾

Question

The perimeter of a sector of a circle of radius is The area of the sector is________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 711

» Area, Surface Area & Volume

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MCQ▾

Question

The diameter of the driving wheel of a bus is How many revolutions per minute must the wheel make in order to keep a speed of per hour?

Choices

Choice (4) Response

a.

100

b.

243

c.

110

d.

280

Question number: 712

» Area, Surface Area & Volume

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MCQ▾

Question

If the radii of the circular ends of a bucket of height are of lengths and , then the volume of the bucket in cubic centimeters, is________.

Choices

Choice (4) Response

a.

24556

b.

25454

c.

12555

d.

21560

Question number: 713

» Triangle, Circle & Constructions

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MCQ▾

Question

Give Below are the steps of construction of a pair of tangents to a circle of radius from a point on the concentric circle of radius . Find which of the following step is wrong?

  1. Step-1: Take a point O on the plane paper and draw a circle of radius Also, draw a concentric circle of radius

  2. Step-2: Find the mid-point A of OB and draw a circle of radius suppose this circle intersects the circle of radius at P and Q.

  3. Step-3: Join BP and BQ to get the desired tangents.

Circle c Circle c: Circle through B_1 with center O Circle d Circle d: Circle through E with center D Circle e Circle e: Circle through F with center O Segment f Segment f: Segment [O, B] Segment g Segment g: Segment [B, G] Segment h Segment h: Segment [B, H] Segment i Segment i: Segment [I, O] Segment j Segment j: Segment [O, J] Point O O = (0.16,3) Point O O = (0.16,3) Point O O = (0.16,3) Point B Point B: Point on c Point B Point B: Point on c Point B Point B: Point on c Point C Point C: Point on f Point C Point C: Point on f Point C Point C: Point on f Point A Point A: Intersection point of e, f Point A Point A: Intersection point of e, f Point A Point A: Intersection point of e, f P text1 = “P” Q text2 = “Q”

Draw Two Circle as Given in the Diagram

A circle of radius 4cm from a point on the concentric circle of radius6cm. OA and OQ have also radius 6cm.

Choices

Choice (4) Response

a.

Only 2

b.

Only 1

c.

2 and 3

d.

1 and 2