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The mass of an electron is approximately equal to $9\times {10}^{-31}$ kg. If the total mass of an atom is $18\times {10}^{-25}$ kg, find the ratio of the mass of an electron to the total mass of an atom.

Question 54

State whether the given statement is True or False.

If $\frac{p}{q}$ is a rational number and m is a non-zero integer, then $\frac{p\times m}{q\times m}$ is a rational number not equivalent to $\frac{p}{q}$ .

If CP = ₹ 400 and loss = ₹ 40, then the SP and Loss percentage are ___.

If a triangle $ABC$ is congruent to the triangle $PQR$, it can be represented as:

$△ABC$$△PQR$

Question 71

State whether the statement is True or False.

Two adjacent angles always form a linear pair.

(a) Look at the following matchstick pattern of squares. The squares
are not separate. Two neighbouring squares have a common matchstick.
Observe the patterns and find the rule that gives the number of
matchsticks in terms of the number of squares. (Hint: if you remove
the vertical stick at the end, you will get a pattern of Cs.)

(b) The given figure gives a matchstick pattern of triangles. Find
the general rule that gives the number of matchsticks in terms of the
number of triangles.

In the figure given, what is the value of 't' ?

Factorise and divide the expressions given

i.) $(m^2-11m-42)÷(m+3)$

ii.) $39y^3(50y^2-98)÷26y^2(5y+7)$ [4 MARKS]

Question 73

In the following question, state whether the given statements are true (T) or false (F).

${\left(\frac{2}{3}\right)}^{-2}\times {\left(\frac{2}{3}\right)}^{-5}={\left(\frac{2}{3}\right)}^{10}$

Find the length of the altitude of an equilateral triangle of side 2a cm.

Which of the following are possible integral values of $x\text{and}y$ where $x>0\&y>0$

if $\angle XYZ$$={90}^o$

What is 40% of 150?

1500 families with 2 children were selected randomly, and the following data were recorded:

$\begin{array}{cccc}\text{Number of girls in a family}& 2& 1& 0\\ \text{Number of families}& 300& 500& 700\end{array}$

Compute the probability of a family chosen at random having 2 girls.

If a bike covers a distance of 65.5 km in 5 hours, then its speed is ______ km/hr.

Find the missing term in the following sequence.
ad, dc, cf, fe , eh, hg , gj, ? , il

Question 1 (a)

Calculate the amount and compound interest on:

a) Rs 10,800 for3 years at $12\frac{1}{2}\%$ per annum compounded annually.

1. 13300

The value of $y$ that satisfies the equation $3(y+2)=12$ is _____.

What will you get if you join following three figures (in the same order and orientation as it is shown)?

Value of $2xy$ when $x=4$ and $y=0$ is _________.

The sum of any two interior angles of a triangle is ${115}^o.$ Find the third angle.

If the length, breadth and height of a cuboid are in ratio 1: 2: 3 and its volume is 6000cm${}^3$ then the height of the cuboid is ___

1. 5

Question 92

State whether the statement is True or False.

Two figures are congruent if they have the same shape.