When (-1) and 1 are multiplied, we get:

\(3\frac{1}{3}\div 10\) is equal to

Khilona earned scores of 97,73 and 88, respectively in her first three examinations. If she scored 80 in the fourth examination, then her average score will be

Which of the following numbers satisfies the equation -6 + x = -18?

The angle. which is its own supplement:

The line segment joining a vertex of a triangle to the mid-point of the opposite side is called its______________

We want to show that Δ ART ≅ Δ PEN. We have to use SAS criterion. We have  AT = PN, ㄥA = ㄥP. What more we need to show?

The simplest ratio of 15 weeks and 10 days is:

The rational number \(\frac{-6}{-25}\) in standard form is

The value of x is :

Area of a right-angled triangle is 30 cm². If its smallest side is 5 cm, then its hypotenuse is

The coefficient of a constant term is:

Cube of  \(\left( \frac { -1 }{ 4 } \right) \)  is 

The order of rotational symmetry of a square is:

1027000000 in Standard Form is:

Find the value of 44875 \(\times\) 99 - (- 44875) using the property.

Multiply and reduce to lowest form (if possible).\(\frac{4}{5}\times \frac{12}{7}\)

Find the mean of first five even numbers

Solve: 6s + 24 = 0

Find the complement of each of the following angles. 48°

Find the values of the unknown x and y in the following diagrams.

In the following figures, measures of some parts of the triangles are indicated. By applying SAS congruence rule, state the pair of congruent triangles .

75% of what number is 15?

Find five rational numbers between \(\frac { -5 }{ 7 } \)and \(\frac { -3 }{ 8 } \).

In \(\angle\)ABC if AB = 3 cm, AC = 5 cm and m\(\angle\)C = 30°. Can we draw this triangle?

Find the circumference of the circle with the following radius 7 cm.

Classify the following as binomials and trinomials.4x³ + 3x² + 6

Using laws of exponents, simplify and write the answer in exponential form:  (2²⁰ \(\div\) 2¹⁵) x 2³

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.

Find the number of cubes in each of the following figures.

Write a negative integer and a positive integer whose difference is +2.

Measurement made in Science lab must be as accurate as possible. Ravi measured the length of an iron rod and said it was 19.34 cm long. Kamal said 19.25 cm and Tabish said 19.27 cm. The correct length was 19.33 cm. How much of error was made by each of the boys?

The heights of 5 girls in a group are: 142 em, 150 em, 146 em, 154 em and 148 em. Find the mean height

Set up equation and solve them to find the unknown numbers in the following cases. If I take three-fourths of a number and add 3 to it, I get 21.

Find the measure of the angles made by the intersecting lines at the vertices of an equilateral triangle.

In the above figure, \(\triangle QRS\) is an isosceles triangle, wherePQ || RT. Find the value of \(\angle QRS\).

Explain, why ΔABC ≅ ΔFED.

Arun bought a car for Rs 350000. The next year, the price went upto Rs 370000. What was the percentage of price increase?

Find the next two rational numbers to complete the following pattern.
\(\frac { -1 }{ 3 } ,\frac { -2 }{ 3 } ,\frac { -3 }{ 9 } \)

Construct a triangle ABC when AB = 5.5 cm, BC = 4.5 cm and \(\angle\)B = 60°.

Find the area and perimeter of a triangle, whose base is 6 cm and each equal sides are 5 cm and height 4 cm.

Find the values of the following polynomials at a = - 2 and b = 3.
a² +2ab + b²

Express 256 as a power of 2.

Draw all lines of symmetry for each of the following figures as given below.

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

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.

3% commission on the sale of a property amounts to is Rs.42,660. What is the total value of the property?

Write four numbers in the following pattern :
\(\frac { -1 }{ 3 } ,\frac { -2 }{ 6 } ,\frac { -3 }{ 9 } '\frac { -4 }{ 12 } ,...\)

A rectangular park is 40 m long and 25 m wide. A path  2.5 m wide is constructed outside the park. Find the area of the path.

Find the value of the following expressions, for a = 3,b = 2:
(a) a + b
(b) 7a-4b
(c) a² + 2ab + b²
(d) a³ - b³

Find x, such that \(\left(1\over5\right)^5\times\left(1\over 5\right)^{19}=\left(1\over 5\right)^{8x}\)

The highest point measured above sea level is the summit of Mt. Everest, which is 8848 m above sea level and the lowest point is challenger deep at the bottom of Mariana Trench, which is 10911 m below sea level. What is the vertical distance between these two points?

A rectangular field is 10\(\frac{2}{5}\) m long and 16\(\frac{1}{3}\) m wide. Then, find the area of the field.

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.

In a class of 60 students, the number of girls is one-third the number of boys. Find the number of girls and boys in the class.

Determine the values of x and y and state reason for your answer.

Find the value of the unknown interior angle x in the following figures.

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

A man sold two radios for Rs 5000each. On one he gets a gain of 10% and on other a loss of 10%. Find his total gain or loss per cent in the whole transactions.

Taking x \(=\frac { -4 }{ 9 } \),y\(=\frac { 5 }{ 12 } \)and z\(=\frac { 7 }{ 18 } \), Find
The rational number, which when added to x gives y.

The Measures of certain sides and angles ot triangles. Identity those which cannot be constructed and say why you cannot construct them? Construct rest ot the triangles.

Find the height of the wall whose length is 4 m and which can be covered by 2400 tiles of size 25 cm by 20cm.

Simplify the following expression and find its value, when p = 4 and q = - 3 2(p² + pq) + 3 - pq

Express the following numbers in expanded forms
12345

In each of the following figures, write the number of lines of symmetry and order of rotational symmetry.

Draw the top, side and front views of the solids given below in figures