Triangles and Circles (IMO- Mathematics Olympiad Class 9): Questions 23 - 26 of 79

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Question number: 23

» Triangles and Circles

MCQ▾

Question

A running track is the ring formed by two concentric circles. It is 10 feet wide. The circumferences of the two circles differ by about ________.

Choices

Choice (4) Response

a.

100 feet

b.

10 feet

c.

30 feet

d.

60 feet

Question number: 24

» Triangles and Circles

MCQ▾

Question

In triangle HKM, the altitude from H to KM meets KM at J, and the altitude from K to HM meets HJ at S. if HJ=12cm , KJ=5cm and JM=6cm , if HJKJ=HSSJ then the length of SJ is ________

Choices

Choice (4) Response

a.

103cm

b.

132cm

c.

103cm

d.

10cm

Question number: 25

» Triangles and Circles

MCQ▾

Question

In XYZ the medians XC, YB and ZA pass through O. If YO=14 , then YB is ________

Given the triangle XYZ the medians XC, YB and ZA pass through O

Given the Triangle XYZ the Medians XC, YB and ZA Pass Through O

Given the triangle XYZ the medians XC, YB and ZA pass through O. if YO = 14, then find YB

Choices

Choice (4) Response

a.

19

b.

11

c.

26

d.

21

Question number: 26

» Triangles and Circles

MCQ▾

Question

In the figure XY=YZ , XM=XZ and MN XY . If the exterior angle XZK is 144˚ , then the angle NMX is ________

Given XY=YZ, XM=XZ and MN is parallel to XY Exterior angle XZK

Given XY = YZ, XM = XZ and MN Is Parallel to XY Exterior Angle XZK

Given XY = YZ, XM = XZ and MN is parallel to XY. If the exterior angle XZK is 144 find the angle NMX

Choices

Choice (4) Response

a.

36°

b.

65°

c.

24°

d.

46°

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