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Match the following:

$$\begin{array}{cc}\text{Quadrilateral}& \text{Properties}\\ 1.\text{Trapezium}& A)\text{A parallelogram, where diagonals bisect at right angles, all sides are equal and none of the angles are equal to}{90}^{\circ }\\ 2.\text{Square}& B)\text{A quadrilateral, where only one pair of opposite sides are parallel and unequal}\\ 3.\text{Rectangle}& C)\text{A parallelogram, where diagonals are equal, all sides equal and all the angles are}{90}^{\circ }\\ 4.\text{Rhombus}& D)\text{A parallelogram, where diagonals and opposite sides are equal, and all the angles are}{90}^{\circ }\end{array}$$

(a) The number of boys taking part in different extracurricular activities is shown in the table given below. Represent the data on a bar graph. [4 MARKS]

$\begin{array}{cc}\text{Activities}& \text{No.of boys}\\ \text{Scouts}& 25\\ \text{Debate}& 13\\ \text{Science Clube}& 7\\ \text{Inst. Music}& 30\\ S.U.P.W& 15\end{array}$

(b) What is the difference between the number of mangoes sold on Sunday and the number of custard apples sold on Wednesday?

A rectangular courtyard 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose ?

The difference between the predecessor and successor of a number is

Which of the following represents the direction of point G w.r.t. point J?

Find the missing number in the following statement

6.88 + 4.8 + ___ = 19.82

Recording the attendance of students in a class register can be regarded as:

1. 6000

If two angles of a triangle are equal, how many number of equal sides does it have.

(a) The ratio of 20 minutes to 2 hrs. [2 MARKS]
(b) Find $x$ if $5:4::125:x$

If one end of a line segment is extended endlessly then the obtained geometrical figure will be a __.

Which of the following number lines represents the whole numbers greater than 4 but less than 7?

Which of the below are concurrent lines?

We often see these types of signals on traffic sign boards. State whether they are mirror images of each other or not. [2 MARKS]

The pictograph shows the sales of cars in 4 weeks by a car dealer. The pictograph is incomplete.

Key: Each car symbol- represents 2 cars.

If 4 more cars were sold in week 3 than in week 1, how many car symbols must be drawn in the pictograph above for week 3?

Question 82 (v)

Subtract

2ab + 5bc - 7ac from 5ab - 2bc - 2ac + 10abc

Question 39

Fill in the blanks to make the statements true.

A ${30}^0-{60}^0-{90}^0$ set square has ___ line/lines of symmetry.

Question 11(ii)

Fig. below gives a matchstick pattern of triangles. As in Exercise 11(a) above, find the general rule that gives the number of matchsticks in terms of the number of triangles.

Question 48.
The sum of two fractions is always a fraction.

How many lines of symmetry are present in the regular hexagon shown below?

Ram can type 50 words per minute. If Rahul can type only 50% of what Ram can type, then Rahul can type _______ words per minute.

Question 33
The number of bottles of cold drink sold by a shopkeeper on six consecutive days is as follows:
$\begin{array}{ccccccc}\text{Days}& \text{Sunday}& \text{Monday}& \text{Tuesday}& \text{Wednesday}& \text{Thursday}& \text{Friday}\\ \text{Number of bottles}& 350& 200& 300& 250& 100& 150\end{array}$
Prepare a pictograph of the data using one symbol to represent 50 bottles.

Which of the following options are reciprocal to each other?

Which of the following correctly represents the HCF and LCM of 4500 and 10584?

Question 70

In the given figure, how many line segments are there? Name them.

The single digit predecessor of a two digit number is

Which of the following figures have more than two lines of symmetry?

(This question can have more than one correct answer!)

$7+7÷7+7\times 7-7=$___

Each edge of a cube measures 2 cm. If the measure of each edge of the cube is doubled, find the new volume of the cube.

Question 53

State whether the statements are true or false:

Using only the two set squares of the geometry box, and angle of ${15}^o$ can be drawn.

If an isosceles right - angled triangle has area $200c{m}^2$, then the measure of its hypotenuse is ___ cm.

If the Simple Interest on a sum of ₹ 50,000 for a period of 1 year is ₹ 2000, find the rate of interest.

In the given figure, $\Delta ABC$ is right angled at B. The value of $x^{\circ }+y^{\circ }$ = ___

Given that a printer prints 5 pages less in the second minute to what it prints in the first minute. Given that it prints 77 pages in two minutes, how many pages does it print in the first minute?

In the below figure,

___ angles are present and they are ___, ___, and ___.

Question 200

Using divisibility test, determine which of the following numbers are divisible by 9?

(a) 672

(b) 5652

Frame an expression: A number is 8 less than the product of 5 and y.

Question 2(a):

Is every diameter of a circle also a chord?

Question 64
In the following question, state whether the given statement is true (T) or false (F).

Natural numbers are not closed under multiplication.

Question 3: Draw rough diagrams of two angles such that they have:
(a) Two points in common.

Question 2 (d)

Give reasons for the following:

Squares, rectangles, parallelograms are all quadrilaterals.

Arjun’s mother gave him Rs. $5x{y}^2$ and his father gave him Rs. $3(2x{y}^2+2)$.Out of this total money, he spent Rs. $(25-6x{y}^2)$ on his birthday party. How much money is left with him?

How many lines of symmetry are possible for the following figure?

Given that all stars in the rectangle are at equal distance from a vertical line drawn through the center of longer side of the rectangle.

Cost of $6kg$ of wheat is Rs $72$.

a) What will be the cost of $8kg$ of wheat?

b) What quantity of wheat can be purchased in Rs $61$?

Question 119

Fill in the blank to make the statement true.
The smallest 6-digit natural number ending in 5 is _____.

The perimeter of a rectangle is 20 cms. Can you find the length of the rectangle if its breadth = 5 cms?