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The solution set for the inequation -3 $\le$ x < 2, x $\in$ N can be represented as:

A sum of money becomes $\frac{4}{3}$ of itself in 6 years at a certain rate of simple interest find the rate of interest.

The following pie-chart shows the marks scored by a student. If he obtained 540 as his total marks,

In which subject did he score the lowest marks?

Solve using property: $-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$

Given below are the weights of 9 different students of class 10^th: 54 kg , 56 kg , 54 kg , 57 kg , 54 kg , 52 kg , 54 kg , 55 kg , 59 kg. Find the mode and median of the given observations. [3 MARKS]

The length and breadth of a rectangular plot are $l$ and $b$ units respectively. Two rectangular paths each of width $w$ units run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area (in sq. units) of the paths?

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

Represent the following numbers on a number line: [2 MARKS]
1. 1.5
2. 2.35

Find the area of a square clipboard whose side measures 120 cm.

Which is the least five digits perfect square odd-number?

Are the ratios 2:5 and 10:15 equivalent? (Yes/No)

For the given congruent triangles $PQR$ and $STU$ under ASA criterion, find the value of $x$ and $y$.

Question 62

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

Two consecutive odd integers.

Construct a triangle ABC in which BC is 6 cm, $\angle$B is ${70}^{\circ }$ and AC - AB = 2. [4 MARKS]

Find the sum of $x^{2}y,0.5x^{2}y$ and $5x^{2}y.$

What should be added to $\frac{-7}{8}$ to get $\frac{4}{9}$?

Question 107

In the given figure, two parallel lines l and m are cut by two transversals n and p. Find the values of x and y.

In a $△PQR,\angle P={80}^{\circ },\angle Q={60}^{\circ }$ and $\angle R={50}^{\circ }$. What type of triangle is this?

1. 40

^{5(2-3x)-17(2x-5)=16. Find x.}

Question 3
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

Question 8 (i)

Fill in the boxes with the correct symbol out of <, > and =:
$\frac{-5}{7}$ ____ $\frac{2}{3}$

Question 1 (iii)
Find the value of unknown x in the following diagrams.

With what should i multiply 4i vector to get 16 i ?

The cost of 2kg orange and 3 kg apple was found to be Rs. 200. The correct expression for this situation is

What is the area of the figure given below?

Question 74

In Fig. (i) and Fig. (ii), find the ratio of the areas of the shaded portion to that of the whole figure.

What is the last digit of $5^{209}$?

Find the product, using suitable properties:
$8\times 53\times (-125)$

Question 2(b)
Verify the following
$(-21)\times \left[\right(-4)+(-6\left)\right]=\left[\right(-21)\times (-4\left)\right]+\left[\right(-21)\times (-6\left)\right]$

You have to select the players for your football team. 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

Find the number of sides the polygon has if the number of diagonals that can be drawn in a polygon is 119.

The sum of two numbers is 80 and their ratio is 3:5. Find the greatest amongst the two numbers.

Observe the pattern given below,

The sum of terms up to $n^{th}$ position will be given by the expression:

A person bought $3\frac{1}{2}kg$ of apples, $2\frac{2}{3}kg$ of grapes and $1\frac{1}{3}kg$ of oranges. He wants to divide them among $4$ people. Find the amount of fruits(in kg) that each person will receive.

Complete the following statement:

Two line segments are congruent if ___.

Which of the following quantities are vectors.

A die is thrown 500 times and the outcomes 1, 2, 3, 4, 5, 6 have frequencies as given below

$$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 75& 85& 90& 80& 75& 95\end{array}$$

What is the probability of getting a value greater than or equal to 4?

If the larger circle of radius 6 cm has four smaller circles of radius 2 cm, then find the area of the shaded portion.

In the figure below, lines AB and CD intersect each other at point O. The angle pairs (∠AOD, ∠COB) and ( ∠AOC, ∠BOD) are called ___.