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 cCircle c: Circle through B_1 with center OCircle dCircle d: Circle through E with center DCircle eCircle e: Circle through F with center OSegment fSegment f: Segment [O, B] Segment gSegment g: Segment [B, G] Segment hSegment h: Segment [B, H] Segment iSegment i: Segment [I, O] Segment jSegment j: Segment [O, J] Point OO = (0.16,3) Point OO = (0.16,3) Point OO = (0.16,3) Point BPoint B: Point on cPoint BPoint B: Point on cPoint BPoint B: Point on cPoint CPoint C: Point on fPoint CPoint C: Point on fPoint CPoint C: Point on fPoint APoint A: Intersection point of e, fPoint APoint A: Intersection point of e, fPoint APoint A: Intersection point of e, fPtext1 = “P”Qtext2 = “Q”

Draw Two Circle as Given in the Diagram

Choices

Choice (4)Response

a.

Only 2

b.

Only 1

c.

2 and 3

d.

1 and 2

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