IGCSE Mathematics Paper-1: Specimen Questions with Answers 85 - 88 of 324

Question 85

Describe in Detail

Essay▾

Solve:

A Fishing Boat Goes from One Place to Another

The diagram shows the route of a fishing boat. The boat sails from A to B on a bearing and then from B to C on a bearing , AB = BC.

(a) How is angle ABC = .

(b) Solve bearing of C from A.

Explanation

Here, the boat sails from A to B on a bearing and then from B to C on a bearing , AB = BC. Let take North = N

(a) Here,

= and =

Now, DAB =

Now, DAB and will be alternate interior angles which are of same angles: .

So, =

Now,

(b) Here, as given AB = BC and .

So, from A to C bearing will be

Question 86

Describe in Detail

Essay▾

Mahesh and Jayraj share in the ratio . How much does Mahesh receive?

Explanation

Here, Total money is

Ratio of Mahesh and Jayraj՚s sharing is . So, total is

So, Mahesh has and Jayraj has money.

So, Mahesh will have and Jayraj will have .

Question 87

Write in Short

Short Answer▾

Solve .

Explanation

Here, equation is

Question 88

Write in Short

Short Answer▾

The net of a solid is drawn accurately below.

Three Triangles Making a Solid

Write down the special name for

(a) The triangles shown on the net,

(b) The solid.

Explanation

Here,

(a) The triangles shown on the net are equilateral triangles, because middle triangle՚s edges having adjacent triangles fit with it.

  • Equilateral Triangles are those which have equal length of sides.

(b) The solid of net image will called as Regular Pyramid or Triangular Pyramid.

  • A regular pyramid has three equilateral triangles and three identical isosceles triangle sides.

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