Question 1:

Find the cube root of

Question 2:

Find the square root of

Question 3:

Simplify (a):

Simplify (b):

Question 4:

Solve :

Question 5:

Solve the following simultaneous equations:

and

Question 6:

Simplify (a):

Simplify (b):

Question 7:

Find the HCF and LCM of the following algebraic expressions:

and and

Question 8:

Simplify the following using two different approaches:

Question 9:

Solve the following simultaneous equations:

Slatex x^{2}y^{2} + 192 = 28xy$ and

Question 10:

If a, b, c are in HP, then show that

Question 11:

if , prove that

Question 12:

Determine the ratio if we know that

More later,

Nalin Pithwa

Those interested in such mathematical olympiads should refer to:

https://olympiads.hbcse.tifr.res.in

(I am a tutor for such mathematical olympiads).

19.075984
72.877656

Mumbai, Maharashtra, India

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