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Sudershan deposited Rs 32000 in a bank, where the interest is credited quarterly. If the rate of interest be $5\%$ per annum, what amount will he receive after 6 months?

Question 63

State whether the following statement is true or false:

1000 is a perfect square.

The figure shows a regular pentagon and a regular hexagon put together. The measure of $\angle PQR$ is

A graph which displays data that changes continuously over a period of time is __ graph.

Factorise : $7b^2-8b+1$

In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If $\angle DAB={90}^{\circ }$. The area of field is :

A garrison of 900 men had provisions for 42 dyas. However, a reinforcement of 500 men arrived. For how many days will the food last now ?

Question 103

Solve the following question:

Find the square root of the following by long division method.

a) 1369
b) 5625

Question 113

Solve the following question:

A farmer wants to plough his square field of side 150m. How much area will he have to plough?

Compute the value of following expression $109\times 91$

A metal sheet $27cm$ long, $8cm$ broad and $1cm$ thick is melted into a cube. The side of the cube is

(a) $6cm$ (b) $8cm$ (c) $23cm$ (d) $24cm$

The area of the rhombus with length of each side as 7 cm and altitude as 8 cm is-

$\text{The following date shows the agricultural production in India during a certain year.}$

$\begin{array}{ccccc}\text{Foodgrain}& \text{Rice}& \text{Wheat}& \text{coarse cereals}& \text{Pulses}\\ \text{Production}& 57& 76& 38& 19\\ \text{(in millions of tonnes)}& & & & \end{array}$

$\text{Draw a pie chart to represent the above data.}$

Construct a quadrilateral PQRS. PQ=3.5 cm, QR=4 cm, RS=5 cm, SP=4.5 cm, PR=6.5 cm

Question 66

A three-digits number 2a3 is added to the number 326 to give a three-digits number 5b9 which is divisible by9. Find the value of b - a.

Pick the odd one out.

Which of the following identities can be used to evaluate

297 × 303

Construct a parallelogram ABCD in which AB = 4.3 cm, AD = 4 cm and BD = 6.8 cm.

There is a quadrilateral PLAY with PL=3cm, LA=4cm, AY= 4.5 cm, PY = 2cm. Which of the following values of LY is not possible ?

Simplify:
$(2m-5{)}^2+40m$

Question 110(iv)
Verifty the property $x\times (y+z)=x\times y+x\times z$ of rational numbers by taking
$x=\frac{-1}{5},y=\frac{2}{15}$ and $z=\frac{-3}{10}$

A 20m deep well having diameter 7m is dug and the earth dug out is evenly spread to form a platform 22m by 14m. Find the height of the platform.

Moden paper

Find the cube of $\frac{x}{4}+\frac{4y}{3}$

Question 1

Write the correct answer from the given four options.

196 is the square of

a) 11
b) 12
c) 14
d) 16

A type of transformation where an object is flipped over a line of symmetry is called

1. 1

➡️The lengths of the sides of a 🔺^le are in the ratio 4:5:3 it's perimeter is 96cm. Find it's area.

Question 112(ii)

Sonia picks up a card from the given cards

Find the probability of getting a Y card ?

We know that Probability of an event E, written as
P(E)
$=\frac{\text{Number of outcomes favourable to E(m)}}{\text{Number of all possible outcomes of the experiment(n)}}$.

Which of the following options correctly explains the relationship between m and n?

The coefficient of y in the term $\frac{-y}{9}$ is

Find the length of the side of a cube whose surface area is $1536c{m}^2$.

In the equation $y=\frac{1}{x}$ take $x=\frac{-3}{8}$

The value of $6\frac{1}{2}\times 8\frac{1}{3}$ calculated using binomial multiplication is

$5x-2y=7andxy=2$, find the value of $(5x+2y{)}^2$

p² - 1 =

Does the sequence of odd numbers form an AP?

Which of the following correctly represents the expression for compound interest?

Question 153(ii)

In a repeater machine with 0 as an exponent, the base machine is applied 0 times.
What do you think the value of $6^o$ is ?
You have seen that a hook up of repeater machines with the same base can be replaced by a single repeater machine. Similarly, when you multiply exponential expressions with the same base, you can replace them with a single expression.
Asif Raza thought about how he could rewrite the expression $2^{2}0\times 2^5$.

Asif Raza's idea is one of the product laws of exponents, which can be expressed like this
Multiplying Expressions with the same base $a^b\times a^c=a^{b+c}$
Actually, this law can be used with more than two expressions. As long as the bases are the same, to find the product you can add the exponents and use the same base.
e.g. $3^2\times 3^3\times 3^{10}=3^{2+3+10}=3^{15}$

Construct a quadrilateral ABCD, such that AB = BC = CD = 4.4 cm, $\angle B={90}^{\circ }\text{and}\angle C={120}^{\circ }$.

Construction of a unique quadrilateral is possible if we have a minimum measurement of 3 sides and ___included angles.

In a polynomial, the exponents of the variables are always:

If personal disposable income is Rs. 1,000 crores and the consumption expenditure is Rs. 750 crores, calculate the average propensity to save.

The chart shows the number of sunny days and the number of windy days in six months. Which months had more windy days than sunny days?

Find the area of the trapezium ABCD in which AB//DC, AB =18 cm, $\angle B=\angle C={90}^{\circ },CD=12$ cm and AD =10 cm.

Question 84 (v)

Simplify

$(1.5p+1.2q{)}^2-(1.5p-1.2q{)}^2$