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Evaluate:
$1-(\frac{2}{3}+\frac{1}{6})$ =

75/100 divided by 3 for both 75 and 100 and reduce to lowest terms

As per the adjoining pictograph _______ flags were sold during the month of July and September.

A triangle with the angles ${30}^{\circ }$, ${90}^{\circ }$ and ${60}^{\circ }$ can be classified under which category?

(a) What is the maximum possible number of obtuse angles in a triangle? Justify your answer.
(b) In a $△ABC$ the side BC is extended to D. Given that $\angle ABC={30}^{\circ }and\angle ACD={160}^{\circ }$. Find $\angle BAC$. [3 MARKS]

Change the sentence to indirect speech.

Krithika said, “Manisha, I am very worried since I am not prepared for today’s exams.”

How many Lines of Symmetry does the regular hexagon shown below have?

Question 7

Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of three containers exact number of times.

Find the value of $x$ so that the given numbers are in proportion

$x:5::15:25$

i) Prime numbers have only ____ factors.

ii) Composite numbers have more than ___ factors.

iii) ___ is the only even prime number.

Simplest form of ratio 15:35 is:

Convert 1.25 into its equivalent fraction

If the total marks scored by Ramesh in Economics and Accounts are the same, then for how many students from these six is the total marks scored in Economics more than twice the total marks scored by them in Accounts?

What is the fraction of students who failed in mathematics exam, if the total number of students who appeared in the exam is 65 and the number of students who passed is 57?

As both the set-squares have right angle at one corner, the set-square that is the isosceles triangle has two angles measuring ______ each and the set square that is the scalene triangle has two angles measuring ______and ______.

A quadrilateral is constructed using 2 congruent triangles. Two of its sides are 2 and 3 units. What are the possible values of the 3rd side?

Consider the following distribution of daily wages of 50 workers of a factory.

$\begin{array}{cccccc}\text{Daily wages (in Rs)}& 100-120& 120-140& 140-160& 160-180& 180-200\\ \text{Number of workers}& 12& 14& 8& 6& 10\end{array}$

Find the mean daily wages of the workers of the factory by using an appropriate method.

What is the greatest four digit number which is divisible by 15, 25, 40 and 75? [4 MARKS]

Question 2

Let $\overline{PQ}$ be the perpendicular to the line segment $\overline{XY}.Let\overline{PQ}and\overline{XY}$ intersect in the point A. What is the measure of $\angle PAY$?

Question 99.
Subtract $1\frac{1}{4}$ from $6\frac{1}{2^{\cdot }}$

Convert 1.25 into a fraction in its simplest form.

1. 360

Let $A=\{1,2\},B=\{3,4\}$ and $C=\{4,5\}$. Verify that $(A\times B)\times C=A\times (B\times C)$ and hence find $A\times B\times C$

Rashmi has Rs. 5555.5 in her wallet. She bought a saree for Rs. 555.5 and bought an umbrella for Rs. 55.5. She paid Rs. 5.5 to the auto driver for dropping her home. What will be the total amount of money left with her?

What is the difference between the biggest and the smallest fraction among $\frac{2}{3},\frac{3}{4},\frac{4}{5}$ and $\frac{5}{6}$?

See the figure shown below:

The ratio of areas of a circular and rectangular field is 1:2. Find the area of the rectangular field if, the area of the circular field is $50m^2$.

If Nonu is x year old, then the age of Nonu after 4 years will be

There are 14 non square numbers between the squares of ____.

Is the following figure a polygon? If yes, what is its name?

See the following diagram:

A cat is at number 3. A rat is at number 10. Assuming that both are standing on a number line, how far is rat from the cat?

Rohit worked for 2 weeks and made Rs.26700 from the first week and Rs.32800 from the second week. His deductions were Rs. 3900. Shikhar worked at the same place for 2 weeks and made 27300 from the first week and Rs. 31600 from the second week. His deductions were Rs.4100. What is the difference in their pay cheques? Who earned more and by how much? [3 MARKS]

0.02 x 1000 = ___

Question 52

State whether the statements are true (T) or false (F).

Using only the two set-squares of the geometry box, an angle of ${40}^{\circ }$ can be drawn.

Question 60
In the following question, state whether the given statement is true (T) or false (F).
Between any two natural numbers, there is one natural number.

What is the number of edges in a hexagonal prism?

The side of a square tile is 10 cm. How many tiles can be fixed on one side of a wall which is 2.5 m long and 2 m high?

Question 10 (c)

Draw a number line and answer the following:

If we are at –8 on the number line, in which direction should we move to reach –13?

Choose the acute angles from the following figures.

Make a largest and smallest 5 digit number using: 1: 9,0,2,3,5 and

2: 1,9,5,4,8 and 3: 4,5,6,7,8