IGCSE Mathematics Paper-1: Specimen Questions with Answers 132 - 133 of 324

Question number: 132

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Short Answer Question▾

Write in Short

(a) George going to Germany in his summer vacation. He changed into euros when the rate was after reached in Germany. How many euros did he receive?

(b) Write 9.568 correct to 2 significant figures.

Explanation

Here,

(a) George changed into euros when the rate was

So,

Then

he received.

(b) 9.568 correct to 2 significant figures means there will be total of 2 digits:

  • So, we will get 9. 6 because after digit 5 there is 6 which is greater than 5, so 5 will get round up and be 6.

Question number: 133

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Essay Question▾

Describe in Detail

A straight road between P and Q is shown in the diagram. R is the point south of P and east of Q. PR = 8.3 km and QR = 4.8 km.

A triangle PQR showing direction

A Triangle PQR Showing Direction

(a) The length of the road PQ

(b) The bearing of Q from P.

Explanation

Here,

(a) is a right angled triangle,

So, by using the formula of sides of a right angled triangle:

, where QR = 4.8 km and PR = 8.3 km is given,

.

(b) Bearing of Q from P:

  • The true bearing to a point is the angle which is measured in degrees in a clockwise direction from the north line.
  • The bearing from one point P to another Q is the direction of the line between those points.
  • The principal directions are north, east, south, and west, the pact is that the direction due north is a bearing of 0 degrees, due east is 90 degrees, due south is 180 degrees, and due west is 270 degrees.

So, here, bearing of Q from P will be which is measured as shown below:

triangular points in different directions

Triangular Points in Different Directions

  • So,
  • So, bearing of Q from P will be:

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