# IGCSE Mathematics Paper-1: Specimen Questions with Answers 137 - 140 of 175

## Question number: 137

### Write in Short

olve

Give your answer as a fraction in its lowest terms. You must show all your working.

### Explanation

Here,

Now, if we inverse denominator of it will give multiplication:

**Or**

Now, by multiplying in cross numbers:

## Question number: 138

### Write in Short

(a) Write down the value of x.

(b) Write down the value of a.

### Explanation

Here,

(a) , so here, we need same fraction in right side as left side.

So,

(b) Here, is given, so we need to convert 81 into exponent form with 2.

So, here so

## Question number: 139

### Describe in Detail

Simplify

(a)

(b) ,

(c)

### Explanation

Here,

(a) Because 0 power always gives value 1.

(b) Because multiplication of two terms with same base will add its exponents which is first exponent rule.

(c) Because it is an exponent expression that is raised to a power, so we can multiply the exponent and power which is second exponent rule.

## Question number: 140

### Write in Short

Month | Jan | Feb | Mar | Apr | May | June | July | Aug | Sep | Oct | Nov | Dec |

Rain fall (mm) | 52 | 39 | 35 | 43 | 50 | 43 | 41 | 48 | 49 | 71 | 63 | 53 |

(a) Which month has the lowest average Rainfall?

(b) Find the difference between the average Rainfall in February and October.

### Explanation

Here,

(a) Here, as we can see in the table, lowest average Rainfall is in **March** which is **35mm.**

(b) Here, average rainfall of February is 39 mm and October is 71 mm.

So, difference between both is: **,** which means in October rainfall is 32 mm higher than in February.