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A sum of money, lent out at simple interest doubles in 4 years. Find the rate of interest.

The radius of a circle is $5units$. What is the circumference of the circle?

A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank?

A concave polygon can be made with minimum of

Prepare the frequency distribution table for the given set of scores:

39, 16, 30, 37, 53, 15, 16, 60, 58, 26, 28, 19, 20, 12, 14, 24, 59,

21, 57, 38, 25, 36, 34, 15, 25, 41, 52, 45, 60, 63, 18, 26, 43, 36, 18,

27, 59, 63, 46, 48, 25, 33, 46, 27, 46, 42, 48, 35, 64, 24.

Take class intervals as (10 -20), (20 − 30), … and answer the following:

(i) What does the frequency corresponding to the third class interval mean?

(ii) What is the size of each class interval? Find the midpoint of the class interval 30- 40.

(iii) What is the range of the given set of scores?

A man bought two TV sets for $Rs.42500.$ He sold one at a loss of $10\%$

and other at a profit of $10\%$. If the selling price of each TV set is same, determine the cost price of each set.

Find the

${20}^{th}$ term of the AP 2, 5, 8, 11, 14 ,...

Find the value of $\sqrt[3]{35}\times \sqrt[3]{350}\times \sqrt[3]{3500}$.

The cube root of-238328

123 can be expressed as:

Question 3

Find the values of the letters in the following and give reasons for the steps involved.

$1A$

$\underset{–}{\times A}$

$\underset{–}{9A}$

How much will a dress of Rs. 50 cost, if there is a discount of 20% in a tax-free zone?

Choose the option with the correct punctuation.

He the caretaker had painstakingly looked after the mansion [The Greenvilla] and its premises.

Question 59

In the following question, state whether the statement is True (T) or False (F):

$(a+b{)}^2=a^2+b^2$

Question 101

A truck carrying $7.8m^3$ concrete arrives at a job site. A platform of width 5 m and height 2 m is being constructed at the site. Find the length of the platform constructed from the amount of concrete on the truck?

There is a thin metal plate of length, breadth and thickness 2M mm, 2K mm and 1 mm respectively. If ‘N’ number of plates are placed one on top of the other, what is the object formed and what is its volume in $m{m}^3$?

Scientific notation of 156,600,000,000 m is given as:

Question 1 (vii)
Find the square roots of each of the following numbers by Division method:

5776

If the division $N÷5$ leaves a remainder of 0, what are the possible values of the unit’s digit of N? [2 MARKS]

Solve the equations:

(i) 5x = 3x + 24;

(ii) 8t + 5 = 2t − 31;

(iii) 7x − 10 = 4x + 11;

(iv) 4z + 3 = 6 + 2z;

(v) 2x − 1 = 14 − x;

(vi) 6x + 1 = 3(x − 1) + 7;

(vii) ;

(viii) ;

(ix) 3(x + 1) = 12 + 4 (x − 1);

(x) 2x − 5 = 3(x − 5);

(xi) 6(1 − 4x) + 7(2 + 5x) = 53;

(xii) 3(x + 6) + 2 (x + 3) = 64;

(xiii) ;

(xiv) .

A shopkeeper sold an article at a loss of $20\%$. If the selling price had been increased by ₹100, there would have been a gain of $5\%$. What was the cost price of the article?

Suppose x² + y² = z².

(i) if x = 4 and y = 3 find z;

(ii) if x = 5 and z = 13, find y;

(iii) if y = 15 and z = 17, find x.

Find the probability of getting a number less than 5 when a die is thrown.

Match the given shapes with their corresponding lateral surface area.

The bar graph below gives the calories consumed by three friends A, B and C after eating chocolate. How many calories does B consume?

If $\Delta MNP\sim \Delta RST$, then find the value of x.

Tick the correct answer in each of the following:

If the compound interest on a sum for 2 years at $12\frac{1}{2}\%$ per annum is Rs 510, the simple interest on the same sum at the same rate for the same period of time is

(a) Rs 400 (b) Rs 450 (c) Rs 460 (d) Rs 480

If 6655 is divided by __, we get a perfect cube number.

If x − y = 3 and xy = 10, find x² + y².