IMO- Mathematics Olympiad Class 7: Questions 617 - 623 of 1012

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Question number: 617

» Practical Geometry - Lines and Angles

MCQ▾

Question

If a, b and c are the sides of an equilateral triangle, then ________.

Choices

Choice (4) Response

a.

b>c=a

b.

c=a<b

c.

c>a=b

d.

a=b=c

Question number: 618

» Triangle and Its Properties

MCQ▾

Question

The three angles of a triangle are in the ratio 1: 2: 3, then the greatest angle is ________.

Choices

Choice (4) Response

a.

600

b.

900

c.

1200

d.

450

Question number: 619

» Triangle and Its Properties

MCQ▾

Question

If the area of a triangle with base x is equal to the area of a rectangle with width x and length double of width, then the altitude of the triangle is ________.

Choices

Choice (4) Response

a.

x2

b.

4x

c.

6x

d.

2x

Question number: 620

» Triangle and Its Properties

MCQ▾

Question

Two chimneys 16 m and 13 m high stand upright on a ground. If their feet are 4 m apart, then the distance between their tops is ________.

Choices

Choice (4) Response

a.

13 m

b.

18 m

c.

5 m

d.

31 m

Question number: 621

» Triangle and Its Properties

MCQ▾

Question

The sides of a ABC measure 6 cm, 8 cm and 10 cm. The area of the triangle is ________.

Choices

Choice (4) Response

a.

24cm2

b.

40cm2

c.

30cm2

d.

All of the above

Question number: 622

» Comparing Quantities

MCQ▾

Question

Dimpal earns Rs. 2100 per week working at an office. After taxes, her pay cheque is only 89 % of what she earned. What is the amount payable to Dimpal?

Choices

Choice (4) Response

a.

Rs. 1869.00

b.

1969.00

c.

Rs. 1836.00

d.

Rs. 1962.00

Question number: 623

» Triangle and Its Properties

MCQ▾

Question

In the figure (not drawn to scale), ABC is an equilateral triangle and BDC is an isosceles triangle with DB = DC, find y.

Triangle poly1 Triangle poly1: Polygon A, B, CArc d Arc d: Semicircle through E and FArc e Arc e: Semicircle through J and KSegment c Segment c: Segment [A, B] of Triangle poly1Segment a Segment a: Segment [B, C] of Triangle poly1Segment b Segment b: Segment [C, A] of Triangle poly1Segment f Segment f: Segment [A_1, C_1] Segment g Segment g: Segment [D_1, G] Segment h Segment h: Segment [H, I] Segment i Segment i: Segment [B, D] Segment j Segment j: Segment [D, C] Segment g_1 Segment g_1: Segment [D_2, G_1] Segment g_2 Segment g_2: Segment [D_3, G_2] Segment f_1 Segment f_1: Segment [A_2, C_2] Segment f_2 Segment f_2: Segment [A_3, C_3] Point A A = (3.08, 4.82) Point A A = (3.08, 4.82) Point A A = (3.08, 4.82) Point B B = (1.12, 1.58) Point B B = (1.12, 1.58) Point B B = (1.12, 1.58) Point C C = (5.24, 1.58) Point C C = (5.24, 1.58) Point C C = (5.24, 1.58) Point D D = (3.14, 3.36) Point D D = (3.14, 3.36) Point D D = (3.14, 3.36) 78â° text1 = “78â°”y text1_1 = “y”

Image of a Triangle ABC Having Another Triangle BDC in It

Showing an image of a triangle ABC having another triangle BDC in it

Choices

Choice (4) Response

a.

90

b.

110

c.

350

d.

130

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