(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

Find the value of the unknown in the following proportion :

c

Find the fourth proportion to the following: 

3,5 and 15

Find the fourth proportion to the following: 

0.7, 4.9 and 1.6 

Find the fourth proportion to the following: 

(p²q - qr² ), (pqr - pr² ) and (pq² - pr²)

Find the fourth proportion to the following : 

(x² - y²),(x³ + y³)anc(x³ - xy² + x²y- y³) 

Find the third proportion to the following :

3 and 15 

Find the third proportion to the following :

16x² and 24x  

Find the third proportion to the following :

(x - y) and m (x - y)  

Find the third proportion to the following :

`9/25` and `18/25`

Find the mean proportion of the following :

24 and 6 

Find the mean proportion of the following :

0.09 and 0.25 

Find the mean proportion of the following :

ab³ and a³b 

Find the mean proportion of the following :

`28/3` and `175/27`

If x, 12 and 16 are in continued proportion! find x. 

If `1/12` , x and `1/75` are in continued proportion , find x.

If y is the mean proportional between x and z, show that :

xyz (x+y+z)³ =(xy+yz+xz)³  

If y is the mean proportional between x and y; show that y(x+z) is the mean p roporti ona I between x²+ y² and y²+ z² 

If three quantities are in continued proportion, show that the ratio of the first to the third is the duplicate ratio of the first to the second. 

Given four quantities p, q, r and s are in proportion, show that 
q²(p - r) : rs (q - s) =(p²- q²- pq): ( r²-s²-rs). 

If a : b = c : d; then show that (ax+ by) : b = (cx+ dy) : d