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Question 26

$\frac{1}{2}$ of $4\frac{2}{7}$ is ___

For the following distribution, the modal class is

$\begin{array}{cc}Marks& Numberofstudents\\ Below10& 3\\ Below20& 12\\ Below30& 27\\ Below40& 57\\ Below50& 75\\ Below60& 80\end{array}$

What is 7/9 - 3/9?

Use suitable identities to find the following product: (x + 4) (x + 10)

A screw gauge with a pitch of $0.5mm$ and a circular scale with $50$ divisions is used to measure the thickness of a thin sheet of aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the 45th division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is $0.5mm$ and the 25th division coincides with the main scale line ?

Question 6

In the following question, out of the four options, only one is correct. Write the correct answer:

The value of ${\left(\frac{2}{5}\right)}^{-2}$ is
(a) $\frac{4}{5}$
(b) $\frac{4}{25}$
(c) $\frac{25}{4}$
(d) $\frac{5}{2}$

Which of the value(s) can satisfy the red line?

Question 4(v)
Write the equation for the following statement:
Three-fourth of t is 15.

In the given figure, $\angle DAB=\angle CBA$ and AD=BC. Prove that $\angle ACD=\angle BDC$. [4 MARKS]

The area of a circle is 394.24 $c{m}^2$. Then the radius of the circle in cm is _______.

Find the total number of lines of symmetry of the given figure.

Question 80

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

The expression for $4^{-3}$ as a power with the base $2is{2}^6.$

Find the equation of the horizontal line that is drawn through the point $(0,0).$

Measure of the angle occupied by the yellow section of the circle is

The ratio which divides 5 litres of water into 2 glasses is 2 : 3. If the water in the 1st glass is doubled, what is the new ratio?

Find the value of Sum I + Sum II:

Sum I: 2.906 + 16.728 + 2.1

Sum II: 1.569 – 5.77 – 0.023

The number of terms in the algebraic expression $4m^2+5n^2+2$ is

The correct interval representation for the set $A=\{x:-2\le x<4\}$ is given by

Find the Principal.

Simple interest = Rs.1,200; time = 3 years; rate of interest = 8% p.a

Add using number line:

(1) 5 and 3

(2) 6 and 2

(3) (−3) and (+5)

(4) 8 and (−12)

(5) (−7) and 5

(6) 10 and (−14)

(7) (−5) and (−2)

(8) (+6) and (−9)

(9) (−4) and (−1)

(10) 1 and (−5)

If 1 / X - 1 / Y is equals to 6 / 7 and x y is equals to 7 then x, y are

(i) Express
5 cm in metre and kilometre

(ii) Express
35 mm in cm, m and km

A ___ set is the subset of every set.

Nabin and Sandip started a business by investing Rs. 9000 and Rs. 12000 respectively. After a year, they make a profit of Rs. 1400. Then, Nabin will get a profit of ________.

Question 31

In the following question, fill in the blanks with correct symbol >, < or =.

$\frac{7}{-8}$ ___ $\frac{8}{9}$

Which of these has the largest area comparatively?

The order of rotational symmetry of a parallelogram about its centre is:

Find the greatest three-digit number which is a perfect square.

What is the last step in constructing quadrilateral with 3 sides and 2 included angles given?

In order to plant 4 plants per meter. How many plants should you buy to edge your garden along the green path in the given figure?

If imaginary part of multiplicative inverse of $\frac{2+3i}{3+2i}$ is $-\frac{a}{b}$, where $a$ and $b$ are coprime numbers, then