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The numbers 52,53, 54, 54, (2x+1), 55, 55, 56,57 are arranged in ascending order and their median is 55. Find the mode of the given data.

A number is as greater than 21 as it is less than 71. Find the number.

Simplify the following.

A train travels from A to B, a distance of 100 km, at a speed of 20 km/h. If it had gone two and a half times fast, how much earlier would it have arrived at B?

Question 35

State whether the statement given is True or False.

A trinomial can be a polynomial.

If $x=2,y=5andz=4$
Find the value of
$\frac{x}{2x^2}$

A car moves with a speed of 40 km/hr for 15 minutes and then with a speed of 60 km/hr for the next 15 minutes. What is the total distance covered by the car? Also, find the average speed of the car. [5 MARKS]

1. 9

The length of $40$ leaves of a plant are measured correct to one millimeter, and the obtained data is represented in the following table:
$\begin{array}{cc}\text{Length(in mm)}& \text{Number of leaves}\\ 118-126& 3\\ 127-135& 5\\ 136-144& 9\\ 145-153& 12\\ 154-162& 5\\ 163-171& 4\\ 172-180& 2\end{array}$
(i) Draw a histogram to represent the given data.

Question 112

For an amount, explain why, a 20 % increase followed by a 20 % decrease is less than the original amount.

Question 7

Draw a circle with centre C and radius 3.4 cm. Draw any chord $\overline{AB}$. Construct the perpendicular bisector $\overline{AB}$ and examine if it passes through C if $\overline{AB}$ happens to be the diameter.

For what value of x will $△ABC\cong △XYZ$ ?

Find the least fraction, which must be multiplied to $(1\frac{2}{4}-\frac{1}{2}+3\frac{6}{16}-\frac{1}{16}+\frac{2}{8}$) to make it an integer.

A man invests Rs.8,800 on buying shares of face value of Rupees hundred each at a premium of 10% in a company. If he earns Rs.1,200 at the end of the year as dividend, what is dividend percentage per share?

Question 94 (j)

Taking $x=\frac{-4}{9},y=\frac{5}{12}$ and $z=\frac{7}{18}$.

Find $x÷(y÷z)$.

The cost of 50 articles is ₹ 2850. Find the cost of 120 such articles

The prime factors of 48 is written as $48=2\times 2\times 2\times$ ___ $\times 3$. Find the missing number.

5 metres of cloth costs ₹ 210. Find the cost of 4 metres of the cloth.

A man completes a work in 1 hour in his first attempt and in his second attempt he completes it in (1/4) of 1 hour. In his third attempt, he completes it in (4/5)^th time of what he took in his second attempt. How long did he take to complete the work in his third attempt? What is the difference in the time taken by him in the first and third attempt? [3 MARKS]

The sketches which give an idea of how a figure looks like, when seen from the front (the exact dimensions need not be the same) are called:

The attendance report of a class for 150 days is as follows:

$$\begin{array}{cc}Student& Attendance\\ 1& 146\\ 2& 142\\ 3& 147\\ 4& 149\\ 5& 146\\ 6& 145\\ 7& 147\\ 8& 146\\ 9& 145\\ 10& 150\\ 11& 143\\ 12& 145\\ 13& 144\\ 14& 142\\ 15& 148\end{array}$$

What is the probability that a student has 98% or more attendance?

The set of natural numbers less than 15 and divisible by 3 in roster form is .

Sum of digits of a two digit number is 9.If 27 is added to the number,the digits of the original number get interchanged.Find the original number.

If reflex ∠ABC = 315^o then ∠ABC is:

Simplify $(xy+yz{)}^2-2x^2{y}^{2}z$ and find it's value when $x=-1,y=1$ and $z=2$.

1. 20

7 + (-19) + 12 - (-20) = ?

If $2^{2x-1}=\frac{1}{8^{x-3}}$, then find the value of '$x$'.

How many numbers are there in the number line of integers?

Which of the following statements is not true?

1. When two positive integers are added, we always get a positive integer.
2. When two negative integers are added, we always get a negative integer.
3. When a positive integer and a negative integer are added, we always get a negative integer.
4. Additive inverse of an integer $2$ is $(-2)$ and additive inverse of $(-2)$ is $2$.

$x$ is defined as 30% of 30. If $y=x^2+4x+7,$ then find the value of y.

If a fan has a rotational symmetry of order 4, how many blades it has?

1. 16

Question 90

How much cloth will be used in making 6 shirts, if each required $2\frac{1}{4}m$ of cloth allowing $\frac{1}{8}m$ for waste in cutting and finishing in each shirt?

Division of 2 irrational numbers can be rational .(true or false)

What should be added to 15.367 to get 26?

The figure shows two paths drawn inside a rectangular field 60 m long and 30 m wide. If the width of each path is 5 m, then the area of the shaded portion is ___ sq. m.