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

## Question 162

### Write in Short

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

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

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

(a) Write down a common multiple of 52 and 91

(b) Solve

### Explanation

Here,

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

So,

So, here common multiple is 13.

(b) Here, .

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