Which of the following is the value of (-12) \(\times\) (- 2) \(\times\) (-5)?

150 g is equal to

Read the following bar graph and answer the question

The difference between the marks obtained by Vimla and Saroj is how many times the difference between the marks obtained by Meenu and Saroj?

The solution of the equation 3m + 7 = 16 is

What is the measure of the complement of the angle 90°?

PB = PD. The value of x is :

Which congruence criterion do you use in the following?

Given: ZX = RP
RQ = ZY
ㄥPRQ = ㄥXZY
So, ΔPRQ ≅  Δ XYZ

There are 100 voters. 50 of them votes yes. What per cent voted yes?

If \(\frac{-8}{-9}=\frac{-16}{?}\) then?=

In which of the following cases, a triangle can be drawn?

A table top is semicircular in shape with diameter 2.8 m. Area of this table top is

Add a + b - 1, b - a + 1, 1 - 2b

Which of the following is not equal to 1?

How many lines of symmetry are there in a scalene triangle?

The name of given solid shape is

What's the Error? Reeta evaluated -4 + d for d = - 6 and gave an answer of 2. What might Reeta have done wrong?

Convert 0.24 into a fraction.

Find the mode of the following weights (in kg).39,36,35,36,41,49,36

Solve for y : \(2y+\frac { 5 }{ 2 } =\frac { 37 }{ 2 } \)

In the adjoining figure, \(\angle\) 1 and \(\angle\)2 are supplementary angles. If \(\angle\)1 is decreased, what changes should \(\angle\)2 take place in \(\angle\)2, so that both the angles still remain supplementary.

State whether the following triangle exists.

Look at the adjoining figure and show that 
\(\triangle ABC\cong \triangle ADC\)

The sides of a triangle are in a ratio of 2 : 4 : 5. If the shortest side is 6 ern, then find the perimeter of the triangle.

Which of these are negative rational numbers?
0

Construct a \(\triangle MNO,\) whose sides are MN = 5 cm, NO = 5.5 cm and OM = 6 cm.

If the side of a square is increased by 20%, then how much per cent does its area get increased?

State whether a given pair of terms is of like or unlike terms.12xz, 12x²z²

Using laws of exponents simplify and write the answer in exponential form: (5^-2)³

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

Identify multiple lines of symmetry, if any, in each of the following figures.

For each solid, the three views (i), (ii), (iii) are given. Identify for each solid the corresponding top, front and side views.

In a magic square, each row, column and diagonal have the same sum. Check, which of the following is a magic square?

(i)

(ii)

4/5 of 5 kg apples were used on Monday. The next day, 1/ 3 of what was left was used. Find the weight (in kg) of apples left now.

Heights (in cm) of 25 children are given Below 168,165,163,160,163,161,162,164, l63, 162, 164, 163, 160, 163, 160, 165, 163, 162, 163, 164, 163, 160, 165,163, 162 What is the mode of their heights? What do we understand by mode here?

Solve the following equation 16 = 4 + 3(t + 2).

In the given figure, find the value of x.

In the given \(\triangle MNP\), a line from vertex M is drawn passing through the side NP at O, such that the measure of angles are given. What would be the other name for OM?

In the given figure, ΔABC is an isosceles triangle in which AB = AC. If AB and AC are produced to D and E respectively such that BD = CE. Prove that BE = CD.

If Meena gives an interest of Rs 45 for one year at 9% rate p.a. What is the sum she has borrowed?

(a) Arrange the following rational numbers in ascending order:
\(\frac{2}{5},\frac{7}{10},\frac{8}{15},\frac{13}{30}\)
(b) Which mathematical concept is used in this problem?
(c) What is its value?

A line segment XY is taken as 6cm. At Y, draw ZY ⊥ XY and cut-off ZY=4 cm. Complete the rectangle XYZW by drawing WZ||XY and join WX. Then, measure the lengths ZW and XW. What do you observe?

In the following figures, find the area of the shaded portions.

Add : x² -y² -1, y² -1 - x²,1 - x² -y²

Simplify the following and write the answer in exponential form:
\([{5^6\over 5^3}]\times 5^2\)

State the order of rotation and angle of rotation of the following figure.

Write the number of faces, edges and vertices in the solids given below:
Prism

Following are the marks obtained by 25 students in class test (out of 25 marks) in Maths :
18, 13, 18, 16, 8, 5, 13, 5, 18, 18,2,16, 13, 8, 17, 18 5, 2, 13, 8, 19, 16, 8, 20.
How many students obtained marks more than the mean marks?

Ram's father is 49 years old. He is 4 years older than three times Ram's age. What is Ram's age.

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.

In a debate competition, the judges decided that 20% of the total marks would be given for accent and presentation. 60% of the rest are reserved for the subject matter and the rest are for rebuttal. If this means 8 marks for rebuttal, then find the total marks.

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

The area of a rhombus is 96 cm². If one of its diagonals is 12 em, then find the perimeter of the rhombus.

If A = 2 + 4x + 8x²,B = -3-5x +x² ,C= 1 + 3x-7x², find A + B + C.

5. If (25)^n-1 + 100 = 5^(2n-1), find the value of n.

Write a pair of integers whose product is -36 and whose difference is 15.

In a class of 80 students,\(\frac{1}{5}\) of the total number of students like to study English,\(\frac{2}{5}\) of the total like to study Science and remaining like to study Mathematics. How many students like to study Science?

Study the double bar graph shown below and answer the questions that follow:

(a) What information is represented by the above double bar graph?
(b) In which month, sales of brand A decreased as compared to the previous month?
(c) What is the difference in sales of both the brands for the month of June?
(d) Find the average sales of brand 8 for the six months,
(e) List all months for which the sales of brand 8 was less than that of brand A.
(f) Find the ratio of sales of brand A as compared to brand 8 for the month of January.

The three scales shown below are perfectly balanced if • = 3. What are the values of \(\Delta\) and *?

Amisha makes a star with the help of line segments a, b, C, d, e and f in which a || d, b II e and c II f. Chhaya marks an angle as 120°, as shown in figure and asks Amisha to find \(\angle\)x, \(\angle\)y and \(\angle\)z. Help Amisha in finding the angles.

Take any point O in the interior of a \(\triangle PQR\).Is

(i) OP+OQ>PQ?
(ii) OQ+OR>QR?
(iii) OR+OP>RP?

If ΔABC ≅ ΔMNR, then find the value  of (2x+3y), where x and y shown in the following figures.

24 men can complete a job in 40 days, then find the number of men required to complete the job in 32 days.

Add the following rational number.
\(\frac { 1 }{ 2 } +\frac { 1 }{ 6 } +\frac { 1 }{ 8 } \)

Draw an isosceles triangle with each of equal sides of length 3 cm and the angle between them as 45°.

People of Khejadli village take good care of plants, trees and animals. They say that plants and animals can survive without us, but we can not survive without them. Inspired by her elders Amrita marked some land for her pets (camel and ox) and plants. Find the ratio of the areas kept for animals and plants to the living area. What value depicted here?

How much is 21a³ - 17a² - less than 89a³ - 64a² + 6a + 16?

Express the following numbers in the standard form:
9585.3

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

Draw a net of the solid given in the figure