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Sam bought a pen for ₹ 5.50 and a notebook for ₹ 20.75. If Sam paid the shopkeeper ₹ 30, how much will be his change?

There is a rectangular park whose perimeter is 50 cm. If its length is 10 cm, then its breadth will be

A sum of money is divided among Ravi, Ankit & Raj in the ratio of 5 : 4 : 3. How much money will Ravi get if Ankit gets Rs 216.

On a map the scale was given as 1 cm = 10.5 km. Find the actual distance between two points that are 5.5 cm away from each other on the map.

The _______ of an event is a number describing the chance that the event will happen.

Which figure is shaded to show a fraction equal to $\frac{2}{5}$ of its whole?

State whether the statement is True or False.

AAS congruence criterion is same as ASA congruence criterion.

Following image is an example of:

Find the sum of
$2mn+11xand22x+4mn$.

The roster form of the set $\{x:x=2r+3,\text{where}r\in I\text{and}-2<r\le 3\}$.

In the figure given below, prove that $p\parallel m$. [4 MARKS]

How many obtuse angles are there in a triangle?

If two non parallel lines lie in the same plane, the lines are ___.

Select the options where the quotient is equal to $\frac{-2}{3}$.

If $a-b=2$ and $ab=48$, find the value of $a^2+b^2$.

What is the compound interest on a sum of ₹6000 for a time period of 3 years at the rate of 15% per annum?

Ravi drew two lines L and M on a sheet of paper and a third line N to intersect these two lines. He observed that the angles formed by the intersection of the lines L and N were equal to the corresponding angles formed between M and N. What can be said about the lines?

Question 76(iii)

The drawing below (figure), show angles formed by the goalposts at different positions of a football player. The greater the angle the better chance the player has of scoring a goal, e.g. The player has a better chance of scoring a goal from position A than from position B.

Estimate at least two situations, such that the angles formed by different positions of two players are the complement to each other.

The ratio of the number of lemons to the number of cups of water to be mixed to prepare lemon juice is 3:5. For 12 lemons, what is the number of cups of water required?

(i) Evaluate:

$\left(a\right)(-2)\times (-3)\times (-4)$

$\left(b\right)2\times (-3)\times (-4)$

$\left(c\right)\frac{2}{6}\times (-3)\times \frac{4}{10}$


(ii) Use the sign of >, < or = in the box to make the statements true.

$\left(a\right)(-8)+(-4)\square (-8)+(-4)$

$\left(b\right)(-3)+7-\left(19\right)\square 15-8+(-9)$

$\left(c\right)23-41+11\square 23-41-11$ [3 MARKS]

If $10lm$ is one of the factors of $20l^{2}m+30alm$, find the other factor.

In a calender, sum of any four number taken in a block can always be written as

Express 0.0000987 in standard form.

The price of a car increased by $5\%$. If the new price is ₹$22,050$, then what was the old price?

You go to Pizza Hut along with two of your friends and order one large pizza. What will be each one's share, assuming everyone had the same number of slices?

A number first increases by 40% and then again decreases by 60%. Find the percentage increase or decrease on the whole?

A ___ is a literal number or any symbol which attains different values.

Karim makes a loss of 19% by selling a mobile phone to mohan at rs 4860. If mohan sells it to rahim at the same price in which karim sells to mohan then karim makes a loss of 17%.what is the percentage profit of mohan

.

28 = 4+3(x+5)

find the value of x with steps.

What is the value of $\sqrt{99}\times \sqrt{396}$?

Which integer is 15 more than -13?

The sum of two numbers is 110 . One fifth of the larger number is 8 more than one ninths of the smaller number. Find the numbers.

Using product law simplify $x^2{y}^3\times x^4{y}^2$.

a $\times$ 1000 + p $\times$ 100 + e $\times$ 10 + l is written in the form

In the given figure, area of $△AID$ = _____ $\times$ area of parallelogram ABCD.

The age pyramid is a special application of a _______ bar graph.

$\text{Multiply each rational number, given below, by one(1)}:\left(i\right)\frac{7}{-5}\left(ii\right)\frac{-3}{-4}\left(iii\right)0\left(iv\right)\frac{-8}{13}\left(v\right)\frac{-6}{-5}$

Question 107
Draw a net of the solid given in the figure:

If the angle of vertex of an isosceles triangle is 100∘, then the measure of a base angle equals .

Question 81 (ii)

Simplify: $\frac{6}{5}\times \frac{3}{7}-\frac{1}{5}\times \frac{3}{7}$.

Question 12
Total number of edges a cylinder has

a) 0

b) 1

c) 2

d) 3

Question 70

In questions 60 to 79, state whether the statements are True or False.
250 cm is 4 % of 1 km.

For what value of $x$ is $\frac{-12}{x}$ equal to $3$?

Question 86(i)
The marks out of 100 obtained by Kunal and Soni in the half-yearly examination are given below:

Draw a double bar graph by choosing appropriate scale.

Which of the following correctly represent the unit digit of any perfect square number.

Question 64

To what expression must $99x^3-33x^2-13x-41$ be added to make the sum zero?