When two positive integers are added, we get

\(\frac { 3 }{ 7 } \) of \(\frac { 2 }{ 5 } \)is equal to

Read the following bar graph and answer the question

The difference between maximum and minimum marks is

If x - 5 = 2, then x is equal to

In the following figure, \(\angle AOB\) and \(\angle BOC\) are

If two sides of a triangle are equal, the triangle is called

For two given triangles ABC and PQR, how many matchings are possible?

Which of the following is the ratio of 3 km to 300 m?

Which of the following is equivalent to \(\frac{4}{5}\)?

A triangle can be constructed by taking its sides as.

The area of a square plot is 1600 m². The side of the plot is

What should be subtracted from x² + y² - 2xy to get x² + y²?

The exponential form of 1000 is

Which of the following letters of English alphabets have more than 2 lines of symmetry?

Adjoining figure is:

Find (-100) \(\div\) 5

Express as rupees using decimals. 7 rupees 7 paise

The median of the following observations arranged in ascending order is 24. Find the value of x. 11,12,14,18,(x+2),(x+4),30,32,35,41

Solve the equation 3 (2x + 1) = 6.

In the following figure, find the value of x.

State whether the following triangle exists.

In the given figures, measures of some parts of triangles are given. By applying RHS congruence rule, state which pairs of triangles are congruent? In case of congruent triangles, write the result in symbolic form.

Mahesh takes a loan of Rs.50,000 at The rate of interest 12% p. a. Find the simple interest, which he has to pay after two years.

Divide the difference of \(\frac { 2 }{ 5 } \) and \(\frac { 3 }{ 13 } \) by the product \(\frac { 2 }{ 9 } \) and \(\frac { 3 }{ 5 } \)

Construct an obtuse angled triangle, which has a base of 5.5 cm and base angles of 30° and 120°.

The distance of a 24 cm long side of a parallelogram from the opposite side is 22 cm. Then, find the area of the parallelogram.

Identify terms and factors in the expressions given below. 1.2ab - 2.4b + 3.6a

Simplify and write in exponential form: 2⁵ x 2³

Given the line(s) of symmetry, find the other hole(s).

If a cone is cut from the top horizontally, then which 2-D figure will be seen?

A certain freezing process requires that room temperature be lowered from 30°C at the rate of 5°C every hour. What will be the room temperature 12 h after the process begins?

In her Science class, Jyoti learnt that the atomic weight of Helium is 4.0030, of Hydrogen is 1.0080 and of Oxygen is 16.0000. Find the difference between the atomic weights of Oxygen and Helium.

The bar graph given below shows the marks of students of a class in a particular subject

How many students scored 90 marks and above?

Radha got Rs 17480 as her monthly salary and overtime. Her salary exceeds the over-time by Rs 10000. What is her monthly salary?

In the given figure, if \(\angle \) 1=30°, find \(\angle \) 2 and \(\angle \) 3.

Riya walks 6 km due East and then 8 km due North. How far is she from her starting place?

In the following figures, lengths of the sides of the triangles are indicated. By applying SSS congruence rule, state which pairs of triangles are congruent? In case of congruent triangles, write the result in symbolic form.

If a father gave 3 parts of his property to his son and 2 parts of it to his daughter. What are the percentages of his property which were given to his son and daughter?

Fill in the box with correct symbol out >,< and =.
\(\frac { -7 }{ 8 } \boxed { } \frac { 14 }{ -16 } \)

Draw a line 1. Draw a perpendicular to 1 at any point on 1. On this perpendicular AB take any point X, 3 em away from 1. Through X, draw a line m parallel to 1.

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3 m, find
(i) the area covered by the roads.
(ii) the cost of constructing the roads at the rate of Rs 110 per m².

If Ramesh has 5x² + 3x - 2 rupees and Mahesh has x² - x + 5 rupees. If both of them deposited the money in same account, and withdrawal a sum of rupees 2x² - x - 3.
(a) What is the balance of amount in their account.
(b) Which mathematical concept is used in this problem?
(c) Whatis its value?

Express each of the following numbers using exponential notations.
1024

Given the line of symmetry, find the other hole.

Make a net for given cone

The mean marks (out of 100) of a group of students is 60. If their marks are 85, 62, 36, 48, 72, x, 75 and 39, then find the value of x.

How much pure alcohol must be added to 400 ml of a 15% solution to make its strength 32%.

Find angles x and y in each figure.

Two poles of height 9 m and 14m stand upright on a plane ground. If the distance between their tops is 13 m, find the distance between their feets.

Nikhil's income is 20% less than that of Akhil. How much percent is Akhil's income more than that of Nikhil's?

Arrange the rational numbers \(\frac { -3 }{ 5 } ,\frac { 7 }{ -10 } ,\frac { -5 }{ 6 } \\ \) ascending order.

The circumference of two circles are in the ratio 5 : 6. Find the ratio of their areas.

If A = 2a - 3b, B = - 3a + 4b and C = - a + b, find A + B + C and A + B - C.

By what number should (-15)^-1 be divided so that the quotient is (-5)^-1.

Write five pairs of integers (a, b) such that a \(\div\) b = - 3. One such pair is (6, - 2) as 6 \(\div\) (-2) = (-3).

Michael finished colouring a picture in \(\frac{7}{12}\) hr.Vaibhav finished colouring the same picture in \(\frac{3}{4}\)hr.Who worked longer? By what fraction was it longer?

Vipin, a Class VII student received cash award of Rs. 5000 in the singing competition. His father advised him to made a budget plan for spending this amount. He made following plan:

Make a bar graph for the above data,
(i) find the mode and median of above distribution of money,
(ii) which values are depicted in his plan?

Express each of the given statements as an equation.
(i) If 1 is subtracted from a number and the difference is multiplied by \(\frac{1}{2}\), the result is 7.
(ii) Mohan is 3 yr older than Sohan. The sum of their ages is 43 yr.
(iii) Five times a number increased by 7 is 27.

In the following figure, EF || GH, \(\angle\)EAB = 70° and \(\angle\)ACH=120°. Then, find \(\angle\)CAF and \(\angle\)BAC.

In the following figure, find the value of \(\angle PQR\).

Which of the following pair of figures are congruent?

The strength of a school is 2000. If 40% of the students are girls, then how many boys are there in the school?

Rajan is a fatty person. His weight is around 82 kg. He wants to lose his weight in 8 months. So regularly he goes for early morning exercise and take very balanced, diet after consulting to physician. After 8 months, Rajan's weight decreased by  (\(\frac { 3 }{ 20 } \))  of his original weight (before 8 months). Find the current weight of Rajan. What type of value depict from Rajan?

Construct ΔPQR, if PQ = 5 cm, mㄥPQR = 105° and mㄥQRP = 40°.

In the following figures, perimeter of  \(\Delta\)ABC = perimeter of  \(\Delta\)PQR. Find the area of  \(\Delta\)ABC.

Amisha has a square plot of side mand another triangular plot with base and height each equal to m. What is the total area of both plots?

Express the following numbers in expanded forms:
5901

Draw all the lines of symmetry for the following letters if they exist.

Fill the correct symbol >, =, < in the following blanks.
(a) Faces of pyramid ----- Vertices of the pyramid.
(b) Faces of pyramid -----  Edge of the base
(c Edges on the base of a tetrahedron ------ Faces of a tetrahedron.