# IGCSE Mathematics Paper-2: Specimen Questions with Answers 1 - 3 of 15

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## Question 1

### Write in Short Short Answer▾

Logan keeps all his spare keys in a box under his bed. Recently, Logan decided the box was becoming unmanageable, as none of the keys were labelled. He set about labelling them with coloured stickers that indicated what each key opened. The probability that a key opens the back door of the house is 0.5, the probability that it is labelled with yellow stickers is 0.9 and the probability that it opens the back door of the house and is labelled with a yellow sticker is 0.4. what is the probability that a randomly chosen key opens the back door of the house or is labelled with a yellow sticker?

Edit### Explanation

Let A be the event “the key opens the back door of the house” and B be the event “the key is labelled with a yellow sticker” .

And

Use the Addition Rule to find , the probability that a key opens the back door of the house or is labelled with a yellow sticker.

## Question 2

### Explanation

If p varies inversely as the square of q and p = 2 , when q = 5

## Question 3

### Explanation

Given line is … (1)

Comparing (1) with general equation of line , we get

Given point is

The distance of the given point from given line is