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If you bought a pen worth Rs. 5.50 and a notebook worth Rs. 20.75 and paid the shopkeeper Rs. 30, how much will he return you?

A vessel in the shape of a cuboid has the internal dimensions 2 m by 1 m by 50 cm. Find the capacity of the cuboid in litres.

___

Questtion 31.
$\frac{18}{135}$ and $\frac{90}{675}$ are proper, unlike and ___ fractions.

Which of the following numbers will be completely divisible by 11?

_____ of the data is the difference between the maximum and the minimum values of the observations.

Question 3(b)

Insert commas suitably and write the names according to Indian System of Numeration :

8546283

Question 46

State whether the statements are true or false:

If an isosceles triangle has more than one line of symmetry, then it need not be an equilateral triangle.

The height of a mountain is 4255 metres. On rounding off to nearest thousands, the height becomes ______ .

Question 11

18 is divisible by both 2 and 3. It is also divisible by $2\times 3=6.$ Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by $4\times 6=24?$ If not, give an example to justify your answer.

The Place Value of 6 in numeral 186304 is

Which of the following statement is not true about a circle?

How many times does 2 occur in the factorisation of 720?

U = set of all triangles
A = set of all equilateral triangles
So,
A^c = ?

Which of the following is not an example of variable?

The set A = {5, 10, 15, 20, 25, 30} written in the set builder form is ______________________.

Which of these operations is commutative for integers?

If 37y4 is exactly divisible by 9, then the smallest value of y is

From his observations, he tried to draw conclusions. Something about the “Dodo” birds was not alright. But what was it? He took out his encyclopaedia which had everything in it. He searched “Dodo”. In the results, it was given that “These birds live around Mauritius”. There was also a table, which gave the number of Dodo birds in different years. The table was as follows:

$\begin{array}{cc}\text{Year}& \text{No. of Dodo birds}\\ 1665& 1500\\ 1675& 300\\ 1681& 1\\ 1685& \text{Extinct}\end{array}$

Looking at the table and analysing the data, he derived the conclusion that:

In a dice game, Arjun got 3, 4, 6, 3, 2, 5, 3, 1, 6, 3, 3, 2, 4, 4 and 1 in his first 15 attempts. Which number has the maximum frequency? Show it with the help of a tally chart. [3 MARKS]

If Rs. 170 is distributed equally among 25 children, how much will each child get?

The value of $-18+12+(-8)+(-4)$ is

Write the algebraic expression:

The product of ‘y' and ​the total of ‘m’ and 'n': .

Question 44.

Answer True/False.

The additive inverse of an integer x is 2x.

Question 2

Draw any line segment $\overline{PQ}$ Take any point R not on it. Through R, draw a perpendicular to $\overline{PQ}$ (Use ruler and set-square)

The events which, when put together, consist of all the possible outcomes in an experiment, are called

Find which of the following are the pairs of like fractions:

1. $\frac{45}{60}$ and $\frac{45}{90}$

2. $\frac{15}{7}$ and $\frac{95}{7}$

3. $1\frac{1}{7}$ and $999\frac{150092}{7}$

4. $\frac{3}{2}$ and $\frac{2}{3}$

Find the longest line segment from the following.

Question 4(a) :

Find the equivalent fraction of $\frac{3}{5}$ having:

denominator 20

Question 4(c) :

Find the equivalent fraction of $\frac{3}{5}$ having:

denominator 30

Simplify: 50 - [30 - {15 - (8 - 4)}]

Question 20

State if the following statement is true or false.

To find the cost of a frame of a picture, we need to find the perimeter of the picture.

Find the supplementary angle of ${98}^{\circ }$.

Write the fraction representing the shaded portion in the following figure:

The face value of 8 in 189 is _____.

Match the following.

Question 29

Fill in the blanks to make the statements true.

The digit having only one line of symmetry is ___.

Question 35

Fill in the blanks to make the statements true.

A ratio is a form of comparision by ___

Uma has $4\frac{2}{5}$ litres of milk and Shama has $3\frac{1}{10}$ litres of milk. How many litres of milk do they have in all?

Three tankers contain 144L, 18oL, 192L of kerosene oil .Find the Maximum capacity of a container which can measure kerosene oil of tankers when used an ,exact no. Of times

A tailor has $2\frac{3}{4}$ m of cloth. He needs only $1\frac{1}{5}$ m of cloth to stitch a lab coat. Find the amount of cloth in metres that will be left unused with him?

$\frac{3}{7}\text{of}\frac{2}{5}\text{is equal to}$ _____.

ABCD is an isosceles trapezium with side BC is parallel to AD. If $\angle A={120}^{\circ }$ then the measure of $\angle B$, $\angle C$ and $\angle D$ respectively are _________ .

A public park that is 20 m long and 10 m wide has two square garden plots 8 m long. If the cost of laying the pavements in the remaining area of the public park costs ₹3.75 per sq. metre, what is the total cost of laying the pavements.

Find the product of 4.65 and $\frac{15}{12}$.

I have 14 apples with me of which ${\frac{2}{7}}^{th}$ of them were spoilt. After selling off some of them, I was left with ${\frac{1}{5}}^{th}$ of the fresh apples. Half of the remaining apples were eaten up by my wife.

Enter the total number of apples which are left with me. ______