IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 642 - 643 of 1022

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Question number: 642

» Comparing Quantities

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MCQ▾

Question

The value of a machine depreciates every year by 5%. If the present value of the machine be Rs. 100,000, what will be its value after two years?

Choices

Choice (4) Response

a.

Rs. 99,000

b.

Rs. 99,250

c.

Rs. 100,050

d.

Rs. 90,250

Question number: 643

» Triangle and Its Properties

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MCQ▾

Question

In the figure (not drawn to scale), ABCD is a rhombus, FHI is an equilateral triangle and CEFG is a trapezium with EC parallel to FG, DCFI, BCG and GFH are straight lines. Find x and y respectively.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Triangle poly2 Triangle poly2: Polygon C, E, F Triangle poly3 Triangle poly3: Polygon C, G, F Triangle poly4 Triangle poly4: Polygon F, H, I Arc k Arc k: Semicircle through J and K Arc p Arc p: Semicircle through L and M Arc q Arc q: Semicircle through N and O Segment a Segment a: Segment [A, B] of Quadrilateral poly1 Segment b Segment b: Segment [B, C] of Quadrilateral poly1 Segment c Segment c: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 Segment f Segment f: Segment [C, E] of Triangle poly2 Segment c_1 Segment c_1: Segment [E, F] of Triangle poly2 Segment e Segment e: Segment [F, C] of Triangle poly2 Segment f_1 Segment f_1: Segment [C, G] of Triangle poly3 Segment c_2 Segment c_2: Segment [G, F] of Triangle poly3 Segment g Segment g: Segment [F, C] of Triangle poly3 Segment i Segment i: Segment [F, H] of Triangle poly4 Segment f_2 Segment f_2: Segment [H, I] of Triangle poly4 Segment h Segment h: Segment [I, F] of Triangle poly4 Vector u Vector u: Vector [P, Q] Vector u Vector u: Vector [P, Q] Vector u_1 Vector u_1: Vector [P_1, Q_1] Vector u_1 Vector u_1: Vector [P_1, Q_1] Point A A = (1.48,2.08) Point A A = (1.48,2.08) Point A A = (1.48,2.08) Point B B = (5.12,2.04) Point B B = (5.12,2.04) Point B B = (5.12,2.04) Point C C = (5.9,4.66) Point C C = (5.9,4.66) Point C C = (5.9,4.66) Point D D = (2.44,4.7) Point D D = (2.44,4.7) Point D D = (2.44,4.7) Point E E = (8.24,2) Point E E = (8.24,2) Point E E = (8.24,2) Point F F = (8.28,4.64) Point F F = (8.28,4.64) Point F F = (8.28,4.64) Point G G = (6.48,6.64) Point G G = (6.48,6.64) Point G G = (6.48,6.64) Point H H = (9.88,2.64) Point H H = (9.88,2.64) Point H H = (9.88,2.64) Point I I = (11,4.64) Point I I = (11,4.64) Point I I = (11,4.64) x text1 = “x” y text1_1 = “y” 60â° text1_2 = “60â°”

Image of a Rhombus, Trapezium and Triangle

Showing an image of a rhombus, triangle and trapezium, so find angles x and y

Choices

Choice (4) Response

a.

b.

c.

d.