# IGCSE Mathematics Paper-1: Specimen Questions with Answers 31 - 32 of 175

## Question number: 31

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Essay Question▾

### Describe in Detail

On a journey a train takes 30 minutes to travel the first 20 kilometers. It then travels a further 40 kilometers in the next 50 minutes.

(a) The train started the journey at 13: 45. At what time did it complete the journey?

(b) Calculate the average speed of the whole journey in

(i) kilometers/minute,

(ii) kilometers/hour.

### Explanation

Here, train takes 30 minutes to travel the first 20 kilometers. It then travels a further 40 kilometers in the next 50 minutes.

(a) Train started the journey at 13: 45.

It takes total

So, it had completed the journey at 13: 45 + 1 hour + 20 minutes = 14: 45 + 20 minutes = 14: 45 + 15 minutes + 5 minutes = 15: 05.

(b) Here total distance =

Total time =

(i) Average speed =

(ii) 60 minutes = 1 hour

80 minutes =? hours

hours

So, average speed =

## Question number: 32

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### Describe in Detail

The table above gives the areas of forests of different countries, correct to 4 significant figures.

 Forests of Countries Area ( ) Russia Brazil Canada United States

(a) List the Forests of Countries in order of area, smallest to largest.

________ < Canada < ________ < ________.

(b) Use a whole number to complete the statement in the answer space.

The area of forests of Russia is approximately ________ times the area of forests of Canada.

### Explanation

Here, correct the area of the countries to 4 significant figures:

• Area of forest of Russia will be: 7,763,000 because after fourth significant digit 2 there is 6 which is greater than 5, so 2 will be rounded and be 3.
• Area of forest of Brazil will be: 4,777,000 because after fourth significant digit 6 there is 9 which is greater than 5, so 6 will be rounded and be 7.
• Area of forest of Canada will be: 3,101,000 because after fourth significant digit 1 there is 3 which is less than 5, so 1 will remain same.
• Area of forest of United States will be: 3,031,000 because after fourth significant digit 0 there is 8 which is greater than 5, so 0 will be rounded and be 1.

(a) Here, list of countries as per smallest to largest areas as below:

United States < Canada < Brazil < Russia

Because

(b) Here, area of forests of Russia by using whole number is:

Area of forests of Canada by using whole number is:

So, the area of forests of Russia is approximately 2.5 times the area of forests of Canada.

(Calculation: )