# IGCSE Mathematics Paper-1: Specimen Questions with Answers 162 - 165 of 324

## Question 162

### Write in Short

Short Answer▾Solve the simultaneous equations

### Explanation

Here,

**Simultaneous equations** are those who have the **unique solutions**.

Equations are

Now, add equation (II) into (I) ,

Now, put into

So,

Thus,

## Question 163

### Write in Short

Short Answer▾In the right-angled triangle ABC, AC = 10 meters and angle . Calculate the length of BC.

### Explanation

Here, triangle ABC is right angled triangle,

Angle and AC = 10 m is given,

So,

## Question 164

### Write in Brief

One Liner▾Solve .

### Explanation

Here,

- So, as per BODMAS calculation, expression will be:
- So, first of all as per BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) brackets will be removed, in that also first of all multiplication will be:
- Then in brackets subtraction will be:
- Now, in brackets multiplication will be:
- Now, division will be: .

## Question 165

### Write in Short

Short Answer▾(a) Write down a common multiple of 52 and 91

(b) Solve

Give your answer as a fraction in its lowest terms.

### Explanation

Here,

(a) We need to find common multiple of 52 and 91.

So,

So, here common multiple is 13.

(b) Here, .