IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 624 - 627 of 1022

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Question number: 624

» Triangle and Its Properties

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MCQ▾

Question

If the two legs of a right angled triangle are equal and the square of the hypotenuse is 64 , then the length of each leg is ________.

Choices

Choice (4) Response

a.

cm

b.

cm

c.

cm

d.

8 cm

Question number: 625

» Comparing Quantities

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MCQ▾

Question

Niharika earns Rs. 1200 per week working at a part – time job. After taxes, her pay cheque is only 78 % of what she earned. What is the amount payable to Niharika?

Choices

Choice (4) Response

a.

Rs. 962.00

b.

Rs. 936.00

c.

Rs. 900.00

d.

Rs. 897.00

Question number: 626

» Triangle and Its Properties

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MCQ▾

Question

If two sides of an isosceles triangle are 4 cm and 10 cm, then the length of the third side is ________.

Choices

Choice (4) Response

a.

3 cm

b.

4 cm

c.

9 cm

d.

10 cm

Question number: 627

» Triangle and Its Properties

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MCQ▾

Question

In the figure (not drawn to scale), ABC and DEF are triangle, CA is parallel to FD and CFBE is a straight line. Find the value of .

Triangle poly1 Triangle poly1: Polygon A, B, C Triangle poly2 Triangle poly2: Polygon D, E, F Arc g Arc g: Semicircle through G and H Arc h Arc h: Semicircle through I and J Arc k Arc k: Semicircle through K and L Arc g_1 Arc g_1: Semicircle through G_1 and H_1 Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment f Segment f: Segment [D, E] of Triangle poly2 Segment d Segment d: Segment [E, F] of Triangle poly2 Segment e Segment e: Segment [F, D] of Triangle poly2 Vector u Vector u: Vector [O, P] Vector u Vector u: Vector [O, P] Vector u_1 Vector u_1: Vector [O_1, P_1] Vector u_1 Vector u_1: Vector [O_1, P_1] Point A A = (3.78,4.14) Point A A = (3.78,4.14) Point A A = (3.78,4.14) Point B B = (5.94,7) Point B B = (5.94,7) Point B B = (5.94,7) Point C C = (1.9,7) Point C C = (1.9,7) Point C C = (1.9,7) Point D D = (6.64,3.72) Point D D = (6.64,3.72) Point D D = (6.64,3.72) Point E E = (9.24,6.98) Point E E = (9.24,6.98) Point E E = (9.24,6.98) Point F Point F: Point on a Point F Point F: Point on a Point F Point F: Point on a y text1 = “y” x text1_1 = “x” 48â° text1_2 = “48â°” 65â° text1_3 = “65â°”

Image of Two Triangles DEF and ABC

Showing the image of two triangles ABC and DEF, so find x + y.

Choices

Choice (4) Response

a.

b.

c.

d.