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, .