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Length of a rectangular park is $50\text{m}$ and width is $10\text{m}$. If length of the park is decreased by $20\text{m}$ then what will be change in perimeter of the park?

Question 104
In the figure of a cube,

i) Which edge is the intersection of faces EFGH and EFBA?
ii) Which faces intersect at edge FB?
iii) Which three faces from the vertex A?
iv) Which vertex is formed by the faces ABCD, ADHE and CDHG?
v) Give all the edges that are parallel to edge AB
vi) Give the edges that are neither parallel nor perpendicular to edge BC.
vii) Give all the edges that are perpendicular to edge AB.
viii) Give four vertices that do not all lie in one plane.

Refer the image below:

The horizontal lines will be parallel if

If a' is any integer then a+0=------------- = --------------

Name the additive identity.

The mean of 6, 8, x+2, 10, 2x-1 and 2 is 9. Find the value of x.

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

A number whose square root is twice its cubic root is

Fill in the blanks with appropriate answers in the following:

(1)

(2)

(3)

(4)

(5)

(6)

Identify the pattern that translated in the following Rangoli.

1. 6

Rotate the red point about the black point 90 degrees clockwise.

Question 1

Construct an angle of ${90}^{\circ }$ at the initial point of a given ray and justify the construction.

I had 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. My wife ate half of the remaining apples. What is the total number of apples left with me?

___

Solve $\frac{1}{3}-(\frac{5}{6}\times \frac{9}{18})+\frac{2}{9}$.

Question 55

When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.

Ram has 5 times as many two-rupee coins as he has Ten-rupee coins. If he has in all a sum of Rs. 100, how many coins of each denomination does he have? [4 MARKS]

Sam is standing at point A on the circular park and start moving on its boundary. After covering half of the circumference of the park, he stopped at point B. Point O is centre of the park. Which of the following is equal to $\angle AOB$?

Find the
circumference of the circles with the following radius: (Takeπ)

(a) 14
cm (b) 28 mm (c) 21 cm

$\Delta ABC$ is congruent to $\Delta RQP$, that is $\Delta ABC\cong \Delta RQP$. If $\angle C$ and $\angle P$ are the smallest angles in $\Delta ABC$ and $\Delta RQP$, then $\angle P$ = ?

a,b are positive integers. If 21ab² and 15ab are perfect squares, the minimum value of a + b is

Half past 8 is ___.

State the property that is used in each of the following
statements?

(i) If a||b, then ∠1 = ∠5

(ii) If ∠4 = ∠6, then a||b

(iii) If ∠4 + ∠5 = 180°, then a||b

Arrange the values of the following expressions in increasing order from bottom to top.

What is the value of 5.8 + 7.3?

If $a$ is a non-zero integer and $m$ and $n$ are any integers, then $a^m\times a^n$ = .

What is the GCD of two numbers $56$ and $63?$

Evaluate using step diagram method.

There was school the nextday as usual but the good thing was you had an art class. You were all sad after your Math class as none of you really understood solid shapes. The teacher realized that something's bothering you all and found out the reason. He thought he would explain you the same with drawing.

He took a chalk and started to draw a shape. Before that he asked a question, "To draw something I put the chalk on the board making a point. The point has ____ dimension”.

Question 27

Fill in the blanks to make each statement true:

When 9 is substracted from the product of p and 4, the result is 11. The value of p is .................

Subtract:

(1) 5y from 4x

(2) −2a from 3b

(3) 5p from −12p

(4) −4c from −7d

(5) 5pq from 7mn