IMO- Mathematics Olympiad (SOF) Class 7: Questions 604 - 607 of 1012

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Question number: 604

» Triangle and Its Properties

MCQ▾

Question

In a and is half that of . Then is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 605

» Comparing Quantities

MCQ▾

Question

What percent of 1 year is 255 days (take year as normal year)?

Choices

Choice (4) Response

a.

70.2%

b.

85%

c.

65.5%

d.

69.9%

Question number: 606

» Triangle and Its Properties

MCQ▾

Question

Height and base of an isosceles triangle measures 12 cm and 18 cm. Its area is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 607

» Triangle and Its Properties

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, DTriangle poly2 Triangle poly2: Polygon C, E, FTriangle poly3 Triangle poly3: Polygon C, G, FTriangle poly4 Triangle poly4: Polygon F, H, IArc k Arc k: Semicircle through J and KArc p Arc p: Semicircle through L and MArc q Arc q: Semicircle through N and OSegment a Segment a: Segment [A, B] of Quadrilateral poly1Segment b Segment b: Segment [B, C] of Quadrilateral poly1Segment c Segment c: Segment [C, D] of Quadrilateral poly1Segment d Segment d: Segment [D, A] of Quadrilateral poly1Segment f Segment f: Segment [C, E] of Triangle poly2Segment c_1 Segment c_1: Segment [E, F] of Triangle poly2Segment e Segment e: Segment [F, C] of Triangle poly2Segment f_1 Segment f_1: Segment [C, G] of Triangle poly3Segment c_2 Segment c_2: Segment [G, F] of Triangle poly3Segment g Segment g: Segment [F, C] of Triangle poly3Segment i Segment i: Segment [F, H] of Triangle poly4Segment f_2 Segment f_2: Segment [H, I] of Triangle poly4Segment h Segment h: Segment [I, F] of Triangle poly4Vector 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”80â° text1_2 = “80â°”

Image of a Rhombus, Triangle and Trapezium with Straight Lines

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

Choices

Choice (4) Response

a.

b.

c.

d.

f Page