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Question 60

Express the given statement as an equation.

Six times a number is 10 more than the number.

Question 57 (e)

Add the following expression:

$x^3{y}^2+x^2{y}^3+3y^{4}and{x}^4+3x^2{y}^3+4y^4$

In a small city, the forest department tried conducting a survey for two types of trees in the years 2005, 2008 and 2011. The data obtained is shown below in the bar graph.

The year in which the number of pine trees is more than the number of oak trees is

Walking at 4/7th of your usual speed, you will reach the school 15 min late. What is the usual time taken by you to reach your school?

Question 88(v)
The data given below shows the production of motorbikes in a factory for some months of two consecutive years.

Study the table given above and answer the following questions:
In which month of the year 2008, the production was the maximum?

If 'a' and 'b' are any two integers and a × (b + c) = (a × b) + (a × c). The property used here is the ____ property.

A Cake is divided among 3 friends namely Kunal, Rhea and Ankita. They get it in the ratio 2 : 5 : 7.

If the weight of the full cake is 420 gms, how much cake does Ankita get?

If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set

and some set A = {1, 4, 6, 9, 11, 12}

The set A^C is

Which one of the following is the correct net of a cylinder ?

- 146 + (-78) - (-124) + 69

The perimeter of an equilateral triangle with side 9 mm is

If a polyhedron has 18 edges, 12 vertices, then it has ___ faces.

The radius of the base of a cylindrical oil is 4 metre find its hieght if it can contains 1408 kiloliters oil

18.5 m of cloth costs ₹ 666. Find the cost of 3.8 m cloth

Answer should be ₹ 136.80

If 3, 9 and x represent the lengths of the sides of a triangle, how many integer values for x are possible?

In a class, the number of boys is more than the number of girls by 12%. Find the ratio of number of boys to the number of girls.

The point (4, 1)undergoes the following two successive transformation
(i) Reflection about the line y=x
(ii) Translation through a distance 2 units along the positive x-axis
Then the final coordinates of the point are

Question 148 (viii)

In the given figure, verify whether given pair of triangles is congruent by SAS congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.

Anmol drew a circle and divided it in to four equal parts.Express area of the shaded part to the area of the circle in ratio?

Question 2(iii)
Organize the following marks in a class assessment, in a tabular form:
4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6,7.
What is the range of the data?

What are the functions of the underlined adjectives?

A ugly conical yellow Scandinavian hat

Subtract ₹9.45 from the addition of ₹12 and ₹​​​​​​​3.45.

Question 45

Fill in the blanks to make the statement true.

The sum of interior angles on the same side of a transversal is ___

Ramesh purchased a bicycle for Rs 5200 and spent Rs 800 on its repair. He had to sell it for Rs 5500. Find out his profit or loss percent.

A shop keeper A has Rs 34265 in his counter and shop keeper B has 432500 paise in his counter. Express the difference in rupees in standard form. [ 3 MARKS]

If A = {set of odd numbers less than 3}, then A is

28*(-48)+(-48)*28

A vendor buys lemons at $Rs.25$ per dozen and sells them at the rate of $5$ for $Rs.12$. Find his gain or loss percent.

Choose the correct option for the underlined phrases.

Gauri’s beautiful red skirt was borrowed by her friend for the wedding.

Order of rotational symmetry for a scalene triangle is ___

Present the data in the form of a simple bar diagram:
$$\begin{array}{ccccc}\text{Year}& 2006& 2008& 2010& 2012\\ \text{Production of wheat (million tonnes)}& 100& 210& 350& 500\end{array}$$

Find the expense of painting a rectangular door of dimension 2 m x 1.4 m, if the cost of painting is Rs. 40 per square meter.

Question 157 (ii)

The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall, to what height does its top reach?

1. 50°
2. 100°
3. 60°
4. 45°

The statement "7 subtracted from 3 times half a number gives 5" can be written in a linear equation as

Question 51

Fill in the blanks to make the statement true.

The supplement of an acute angle is always ___ angle.

Question 89

State whether the statement is True or False.

The top and bottom faces of a kaleidoscope are congruent.

If the length of the diagonal of a square is $12\sqrt{2}cm$, what is its perimeter?

There are $y$ bananas and a few apples in a basket. If there are $x$ fruits in total, then there are apples in the basket.

Question 10 (iii)

Write the following rational numbers in ascending order:
$\frac{-3}{7},\frac{-3}{2},\frac{-3}{4}$

1. 5

Question 104 (ii)

Follow the directions and correct the given incorrect equation, written in Roman numerals:

Move one matchstick to make the equation valid. Find two different solutions.
VI + IV = XI

Draw a circle with center A with radius $5cm$. Draw any one of the diameters. With same center A, draw another circle with radius $3cm$. Draw any one of the diameters for this circle too. If you join the ends of both the diameters, the figure you will get is: