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Find the missing frequencies f1, f2 and f3 in the following frequency distribution, given f2 : f3 = 4:3 and mean is 50. Total frequency is 120.

Simplify: (32x^10 )^(3/5) IGCSE 0580

Simplify (1/2 x^(2/3) )^3 Igcse 0580

Find the sum of first 20 terms of the following AP 1, 4, 7, 10, …..

In an AP if the sum of third and seventh terms is zero. Find its 5th term.

The sum of the first 7 terms of an A.P. is 63 and that of its next 7 terms is 161. Find the A.P.

Taxi charges in a city consist of fixed charges and the remaining depending upon the distance travelled in kilometres. If a person travels 60 km, he pays 4 960, and for travelling 80 km, he pays ₹ 1260. Find the fixed charges and the rate per kilometre.

The coach of a cricket team buys 7 bats and 6 balls for ₹ 13200. Later, he buys 3 bats and 5 balls for ₹ 5900. Find the cost of each bat and each ball.

A part of monthly hostel charges in a school is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 22 days, he has to pay ₹4250 as hostel charges, whereas a student B, who takes food for 28 days, pays ₹5150 as hostel charges. Find the fixed charges and the cost of food per day.

The monthly incomes of A and B are in the ratio 8:7 and their expenditures are in the ratio 19:16. If each saves ₹ 5000 per month, find the monthly income of each.

Show that (√3 √27)/√2 can be expressed in the form √k where k is an integer. State the value of k.

The sum of two numbers is 1000 and the difference between their squares is 256000. Find the numbers.

In the figure, ABCDE is a pentagon with BE| |CD and BC||DE. BC is perpendicular to CD. AE = AB = 5 cm, BE = 7 cm, BC = x - y and CD = x y. If the perimeter of ABCDE is 27 cm. find the value of x and y, given x, y ≠ 0.

If 49x 51y = 499, 51x 49y = 501, then find the value of x and y

Anuj had some chocolates, and he divided them into two lots A and B. He sold the first lot

Write the following in the form a b√c where c is an integer and a and b are rational numbers:

Divide (x^3−3x^2 x 2) by (x−2)

Divide (x^4−1) by (x 1)

A = {x: x is a factor of 8}, B = {x: x is a factor of 36}. Is A subset B? Justify.

Divide (x^3−3x^2 x 1) by (x−1)

Prove that the nth term of an AP can not be n^2 1 . Justify your answer.

The first term of an AP is 3, the last term is 83 and the sum of all its terms is 903.

If the 10th term of an AP is 52 and the 17th term is 20 more than the 13th term, find AP

If the sum of the first 14 terms of an AP is 1050 and its first term is 10 find its 20th term.

For what value of k; 2k 1, 3k 3, 5k − 1 are three consecutive terms of an AP

For what value of k; k 9, 2k - 1, 2k 7 are three consecutive terms of an AP.

For what value of k; k 2, 4k - 6, 3k - 2 are three consecutive terms of an AP.

In figure, AT is a tangent to the circle with centre O such that cm OT = 4 cm and ∠OTA = 30°.

Find the values of a and b, if they are the zeroes of polynomial x^2 ax b