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Which shapes have line of symmetry?

What is the ratio of the total number of students in College S in the year 2006 and 2009 together to the total number of students in College U from the same years?

A pole is of a certain length, 0.35 m of the pole is painted red, 1.37 m is painted white and 3.27 m is painted black. The remaining 5.63 m is left unpainted. Which of the following is the length of the pole if we round off to the nearest integer?

Question 2 (i)

State whether the following statement is true or false:

All even numbers are composite numbers.

The number smaller in 133.060706 and 133.060607 is ___.

How many faces does a hexagonal prism have?

What percentage of 1 hour is 30 minutes?

1. 50

If every student in the entire school donates ₹ 200 each for charity , how much money would go for donation in total?

Rakesh noticed the minute and hour hand of the clock forms an angle. He decided to measure the angle formed when the hour - hand is at 3 and minute - hand is at 12. Measure the angle formed.
The figure is given below.

Study the following number patterns:

$45\times 9+2=407$

$456\times 9+3=4107$

$4567\times 9+4=41107$

Find the next 2 lines.
[4 MARKS]

The following quadrilateral is named as

Which of the following cannot be the length of the sides of a triangle?

If AB || DE, ∠AOD = 50° and ∠DPC = 160°, find the value of ∠DBE?

Find the angle between the hour hand and minute hand when the clock shows 2 p.m.

Ans:___

A polygon with three edges and three vertices is called __.

Question 10(b)

By splitting the figure into rectangles, find the area of the figure. (The measures are given in centimetres)

A pizza is cut into 6 equal slices. I eat half of one slice. What fraction of the pizza do I eat?

Arun needed to measure the area of a cardboard required to create his craft project. The shape he needed is displayed in the figure below. Which of the following could be used by him to determine the approximate area of this flower shaped figure?

The dimensions of a public park are as shown. There are two paths in the park one along the perimeter and one along the interior square. A man goes for a walk in the morning. He walks three complete rounds along the outer perimeter and two complete rounds along the square perimeter. What is the total distance he covers during his morning walk?

Study the following information carefully and answer the questions given below.
(i) $P\times Q$ means 'P is the mother of Q'.
(ii) $P+Q$ means 'P is the sister of Q'.
(iii) $P÷Q$ means 'P is the father of Q'.
(iv) $P-Q$ means 'P is the brother of Q'.
Which of the following means 'J is the paternal grandfather of W'?

When $7xy+5yz-3zx$, $4yz+9zx-4y$ and $-3xz+5x-2xy$ are added, we get

Question 42

Rectangular wall MNOP of a kitchen is covered with square tiles of 15 cm length (as shown in the figure). Find the area of hte wall.

Tina noticed juicy oranges in a shop and asked the shopkeeper for the price. He said each costs Rs x. She bought 3 of them. What is the coefficient of x after calculating the total amount spent by Rina and Tina, if Rina had already spent Rs(6x + 4y)?
___

A rectangular piece of land measures $0.7km$ by $0.5km.$ Each side is to be fenced with $4$ rows of wire. What is the length of the wire needed?

Question 68.
$\frac{12}{75}$ ___ $\frac{32}{200}$

If there are exactly two angles equal in a triangle, it is known as

In a mixture of milk and water, the ratio of milk and water is 8:3 and by adding 3 litres of water the ratio of milk to water becomes 2:1.The quantity of milk in the mixture is

Find the HCF by long division method and reduce it to the simplest form:
$\frac{275}{525}$

if a and b are any two whole numbers and b < a, then a -b is a _______ number

(230 + 9) (400 - 1) is equal to

In the adjoining pictograph the minimum sale of erasers was on

The property which states that the sum of all the interior angles of a triangle is 180${}^{\circ }$ is known as __.

If $B=\{1,3,5,7,9,11\}$ Then which of the statments are correct?

If Raju covers a distance of 12 km in 3 hours then find distance that Raju travels in 10 hours

3a21 is divisible by 3 and 9 , what should be the value of a

If the ratio of the exterior angle and interior angle of a regular polygon is 2: 3, the the polygon has ____ sides.

In the above figure,
(i) represents a/an ___,
(ii) represents a/an ___ and
(iii) represents a/an ___.

The price of a good reduced by one-third and the quantity supplied reduced by two-thirds. What is the price elasticity of supply?

Pavan asked Preeti to draw a triangle. He gave following data
1. the base BC
2. a base angle, say $\angle B$
3. The difference of other two sides AB – AC or AC – AB, Assume, AB > AC
She was unable to draw the triangle ABC. So as a hint he gave steps of construction but it was not in correct order. He gave following steps
1. Draw the base BC and at point B make an angle say XBC equal to the given angle.
2. Join DC and draw the perpendicular bisector, say PQ of DC.
3. Cut the line segment BD equal to AB – AC from ray BX.
4. Let it intersect BX at a point A. Join AC

Arrange the steps in correct order.

In a marathon of 5 km, Manish could run for 2 km. If Kushagra ran for $\frac{1}{2}$ of the total length of the marathon, who covered more distance?

Aarush used to go home from school through a straight road AB of length 6 km. One day, halfway through, he stopped at the playground. From there he took a turn and went to a shop Q which was 3 km away from playground perpendicularly. Draw the path travelled by him. ( Let 1 Km = 1 cm in the construction.) [4 MARKS]

Question 1(n)

State whether the given expression is an equation or not. Give reason for your answer.Identify the variable in the given expresssion.

$20-(10-5)=3\times 5$

Draw any angle with vertex O. Take a point A on one of its arms and B on another such that OA = OB. Draw the perpendicular bisectors of $\overline{OA}$ and $\overline{OB}$. Let them meet at P. Is PA = PB?