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Four alternative options are given for each of the following statements. Select the correct option.

Terms having the same literal factors with same exponents are called

A. exponents

B. like terms

C. factors

D. unlike terms

Sofia bought 33 chocolates from the market.Which option shows it correctly?

Line AB of 4 cm is drawn. Another line CD which is congruent and perpendicular to AB is drawn. Length of CD is_____.

The area of a courtyard is 3750 m2. Find the cost of covering it with gravel to a height of 1 cm if the gravel costs 6.40 per cubic metre.

A small aeroplane has a wing span of $15\text{feet}.$ The scale factor for a model of the aeroplane is $\frac{1}{60}$. Find the wing span of the model in inches.

Question 6 (i)

Diagonal AC of parallelogram ABCD bisects $\angle$ A ( see the given figure). Show that

It bisects $\angle$ C also,

Find the factors of $6x^2-13x+6=0$

Question 71 (iii)

It is given that l varies directly as m.
Find l, when m is 33.

The six faces of a cube are coloured black, brown, green, red, white and blue.

(i) Red is opposite to black

(ii) Green is between red and black

(iii) Blue is adjacent to white

(iv) Brown is adjacent to blue

(v) Red is at the bottom

Which colour is opposite to brown

Front view of the above shown solid figure is__________.

Find the values of A and B $$\begin{array}{c}12A\\ +6AB\\ A09\end{array}$$

(a) Prove that when two lines intersect, the vertically opposite angles are equal. [3 MARKS]
(b) Find the value of X in the given figure:

Question 50

Histogram given below shows the number of people owning the different number of books. Answer 47 to 50 based on it.



The number of people having books more than 20 and less than 40 are ___

Question 8.

A gardener has 1000 plants. He wants to plan these in such a way that the number of rows and number of columns remain same. Find the minimum number of plants he needs more for this.

Find the value of $x$ if $\frac{7}{11}+x=1$.

If 3 person can weave 168 shawls in 14 days, how many shawls will be woven by 8 persons in 5 days?

In the given figure,if $\frac{y}{x}=5and\frac{z}{x}=4$ , then the value of x is ${12}^{\circ }$.

Compute the squares of these numbers mentally.

(i) 102

(ii) 202

(iii) 1001

(iv) 2002

(v) 205

(vi) 10.3

In the equation $z=\frac{x}{y}$ , find the value of z when x = -10 and y = -20

Factorise $18x^3{y}^3-27x^2{y}^3+36x^3{y}^2$.

Construct a triangle LMN in which LM = 7.8 cm, MN = 6.3 cm and ∠LMN = 45°.

How many rectangles does a chess board has?

The percentage of a component is 40%. While depicting it in a pie chart, the central angle made by its corresponding sector is

Preeti is trying to draw a line parallel to line $l$ through a point which is not lying on the line $l$. How many arcs will she need to draw?

Question 24

$\frac{x+y}{2}$ is a rational number

(a) Between x and y

(b) Less than x and y both.

(c) Greater than x and y both.

(d) Less than x but greater than y.

Sam,Ben and Clarke took part in a relay race in which Sam and Clarke ran the same distance and out of the total 4 km, Ben ran $\frac{2}{8}$ part. Find the distance covered by Sam(in km).

Question 146(iv)
The table shows the portion of some common materials that are recycled.
$\begin{array}{cc}\text{Material}& \text{Recycled}\\ \text{Paper}& \frac{5}{11}\\ \text{Aluminium cans}& \frac{5}{8}\\ \text{Glass}& \frac{2}{5}\\ \text{Scrap}& \frac{3}{4}\end{array}$
Arrange the rate of recycling the materials from the greatest to the smallest.

Count the number of significant figures in the result of the expression 45 $÷$ 8

Which one is the correct net of the given figure?

Answer True/False.

$x=5$ is the solution of the equation $3x+2=20$.

The formula for amount A when the principal P is compounded annually at r% per year for t years is ______ .

Question 5 (i)

An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:

$\begin{array}{ccccc}\text{Monthly income(in Rs)}& & & \text{Vehicles per family}& \\ & 0& 1& 2& \text{Above 2}\\ \text{Less than 7000}& 10& 160& 25& 0\\ 7000-10000& 0& 305& 27& 2\\ 10000-13000& 1& 535& 29& 1\\ 13000-16000& 2& 469& 59& 25\\ 16000\text{or more}& 1& 579& 82& 88\end{array}$

Suppose a family is chosen, find the probability that the family chosen is

(i) earning Rs10000 −13000 per month and owning exactly 2vehicles.

Question 9

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

The value of $(-2{)}^{2\times 3-1}$ is :

(a) 32

(b) 64

(c) -32

(d) -64