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

Question 162

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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

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Short Answer▾

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

A Right Angled Triangle Has an Angle and Length of Diagonal

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

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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, .

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