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Question 81(ii)

If two angles have a common vertex and their arms form opposite rays (figure). Then,
How many types of angles are formed?

Which of the following are not like terms of $2x^{2}yz$?

If the price of milk increases from ₹ $24$ per litre to ₹ $32.40$ per litre, then what is the percentage increase in the price?

Question 1(i):

Write the fraction representing the shaded portion:

What is the area of the quadrilateral ABCD given below?

If you have to select the players for your football team then which of the following given data sets will help you to take the decision?

Data set 1. Name of the players

Data set 2. Height of the players

Data set 3. Stamina of Players

Data set 4. Nationality of the players

1. 32

Two angles are in the ratio 4: 7. On incresing the smaller angle by 10${}^{\circ }$ and decreasing the larger angle by 20${}^{\circ }$ the ratio of the angles becomes 1:1. The original angles were ___ and ____respectively.

Sum of any two sides of a triangle is always _________ than the third side.

How is the pre-image(A) related to the image(A')?

Which of the following concepts plays an important role in the perpendicular bisector construction?

A number line tells that A and B represent integers on the line. If C=A*B then where would C be placed on the number line

If a + b = 12 and a² + b² = 60, the value of a³ + b³ is:

A shopkeeper gives a discount of Rs 15.50 on an article which has a market price of Rs 50.00. What is the selling price of the article?

Using the identities of algebraic expressions , find

$\left(i\right)1002\times 1003$

$\left(ii\right)97\times 103$. [2 MARKS]

Integers are not closed under which operation?

A square pyramid has ___ triangular faces

Let two non-collinear unit vectors $\hat{a}\text{and}\hat{b}$ form an acute angle. A point P moves so that at any time t the position vector
$\overrightarrow{OP}$ (where, O is the origin) is given by
$\hat{a}\cos t+\hat{b}\sin t$. When P is farthest from origin O, let M be the length of $\overrightarrow{OP}$ and $\hat{u}$ be the unit vector along $\overrightarrow{OP}$. Then,

If $\frac{3}{5}$ of my monthly income is ₹ 4500, then my monthly income is

Simplify the expression: 6m + 10 − 10m. [1 MARK]

The cost of 1 litre of milk is $₹30\frac{3}{4}$. Find the cost of $2\frac{1}{3}$ litre of milk.

Subtract -137 and 878 from -37

How many lines of symmetry are present in a parallelogram?

Statement1: Profit is defined as the positive difference between selling price and cost price (S.P > C.P).

Statement 2: Loss is found when (C.P > S.P)

An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate its speed if it takes 24 hours to revolve around the Earth.

$\Delta ABCiscongruentto\Delta RQP$, that is $\Delta ABC\cong \Delta RQP$. If $\angle C$ and $\angle P$ are the smallest angles in $\Delta ABC$ and $\Delta RQP$, then $\angle P=?$

Divide $\frac{-48}{11}$ by $\frac{12}{33}$.

What is the average weekly temperature of Siachen if the temperatures for each day are as follows :

- ${11}^{\circ }$ , - ${16}^{\circ }$ , - ${12}^{\circ }$ , - ${8.5}^{\circ }$ , - ${14}^{\circ }$ , - ${17.5}^{\circ }$ and - ${15.5}^{\circ }$

20 men can complete a task in 4 days. How many men will be able to complete the same task in 2 days?

Question 4

Given $\overline{AB}$ of length 3.9 cm, construct $\overline{PQ}$ such that the length $\overline{PQ}$ is twice that of AB . Verify by measurement.

(Hint: Construct $\overline{PX}$ such that length of $\overline{PX}$ = length of $\overline{AB}$;
then cut off $\overline{XQ}$ such that $\overline{XQ}$ also has the length of $\overline{AB}$.)

Rita had Rs 300. She spent $\frac{1}{3}$ of her money on notebooks and $\frac{1}{4}$ of the remainder on stationery items. How much money is left with her ?

Find the third side of a triangle whose perimeter is $8m^2-9m+4$ and two of its sides are $3m^2-5m$ and $4m^2+12$.

The below question consists of a related pair of figures (problem pair) and followed by four answer pairs marked as (A), (B), (C) and (D). Out of these four, three have relationship similar to that in the problem pair. Only one pair of figures does not have similar relationship. You have to select that pair of figures which does not have a relationship similar to that in the problem pair.

A particle moves 3 m north, then 4 m east and finally 6 m south. Which of the following is correct about the distance travelled?

Discount is the reduction given on the ________ price.

Question 2(f)
Give first the step you will use to separate the variable and then solve the equation:
$\frac{z}{3}=\frac{5}{4}$

If median, altitude, angel bisector and perpendicular bisector are the same line in the triangle then why are they given different names?

A farmer has enough food to feed 48 cattles for 6 days. How many days will the food last if there were 144 cattles ?

Solve: lim x->1 (2x²-5x+4)/(5x²-2x-3)

The common factor in the expression $2x^2+4xy+8x$ is ___.