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Find the median of the following data.

$\begin{array}{cc}Classinterval& Frequency\\ 0-10& 6\\ 10-20& 7\\ 20-30& 11\\ 30-40& 9\\ 40-50& 7\end{array}$ [3 MARKS]

Question 87(ii)

Classify the following statements under appropriate headings.

India winning a cricket match against pakistan. ?

$\begin{array}{ccc}\text{Certain to happen}& \text{Impossible to happen}& \text{May or may not happen}\\ & & \\ & & \end{array}$

What is $(a^3-b^3)$ if $ab=6$ and $(a+b)=5$ and $a>b$?

The perpendicular distance between the ends of a prism is called the ___ of the prism.

Find the value of a:
$786=a\times 7+10\times 8+1\times 6$

a x a x a x a x y x y x y x y x z x z can be written as

Factorise :
$12(2x-3y{)}^2-16(3y-2x)$

Question 82

State whether the following statement is true or false:

$363\times 81$ is a perfect cube.

It seemed like a forever journey for Jack as he was moving towards Cottage city. He remembered that his famous work on time travel was criticized everywhere. Maybe people in future are making fun of him. For his work, he was nominated for the “Excellence Award”. He then checked the status of the number of votes he got.

Find the frequency of people voting for Jack.

What number should be added to ${9x}^2$ + 18 $x$ to make it a perfect square?

If A = {set of whole numbers less than 6} and B = {set of prime natural numbers less than 7}, then _________ .

Construct a histogram of the following distribution of height of students of class VIII-E.

The figure shows a regular pentagon, a regular hexagon and a regular octagon put together . The measure of $\angle ABC$ and $\angle ADE$ are

Let's assume Sarah's father invests $$12,000$ in interest-bearing accounts, with a portion at $3.2$% and the remainder at $2.6$%. Total investment revenue (interest) for the year is $$369$. At each rate, how much money did Sarah's father put in?

If the mean of 8, 12, 21, 42, x is 20, find the value of x.

A line passes through the $y-$axis at $y=3.$ It has a slope of $\frac{1}{3}$. Find the equation of the line.

If each side of a cube is doubled, its surface area

(a) is doubled

(b) becomes 4 times

(c) becomes 6 times

(d) becomes 8 times

The sum of two opposite angles of a parallelogram is ${130}^{\circ }$. Find all the angles of the parallelogram.

Question 67

Using the frequency table, answer the following:

$\begin{array}{ccccccc}\text{Marks(Obtained out of 10)}& 4& 5& 7& 8& 9& 10\\ \text{Frequency}& 5& 10& 8& 6& 12& 9\end{array}$

The frequency of more than 8 marks is 21 ?

We cannot construct a quadrilateral PQRS with PQ = 6 cm, QR = 5 cm, = 150^o and the measurement of

A) 4

B) 5

C) 6

D) 7

The capacity of a soda can be calculated using the formula.

A father’s age is four times that of his son. After 5 years, it will be three times that of his son. How many more years will take if father’s age is to be twice that of his son?

Which of the following could be a magic square of consecutive numbers in which the sum of the numbers in a row is 42?

Find the single discount (as percent) equivalent to successive discounts of :

$\left(i\right)80\%$ and $80\%$

$\left(ii\right)60\%$ and $60\%$

$\left(iii\right)60\%$ and $80\%$

If an SUV can transport 7 people, car can transport 5, jeep can transport 8 and auto can transport 2 people, which of the following combination can be used to exactly transport 25 people?

The given graph of linear function shows a relation between a player with his height.





The set of input and output values will be:

The construction of a triangle ABC in which AB = 7 cm, is not possible when sum of BC and AC is less than or equal to ___________.

Question 10

Which of the following is equal to 1?
$\left(a\right)2^0+3^0+4^0\left(b\right)2^0\times 3^0\times 4^0\left(c\right)(3^0-2^0)\times 4^0\left(d\right)(3^0-2^0)\times (3^0+2^0)$

If $m=3$ and $n=2$, then $(2m+3n{)}^2=$

Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.

By what number should $(-15{)}^{-1}$ be divided so that the quotient may be equal to $(-5{)}^{-1}$ ?

Arjun and Karan went to a fair. They saw a shooting game where they had to aim on balloons. The ratio of number of trials that Arjun and Karan got was 5:3. Arjun succeeded one in every 3 shots while Karan's success was 50 %. If Karan failed 27 times, find number of times Arjun succeeded.

Which of the following are true?