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Find the value of $(x+y)(x-y)(x^2+y^2$) when $x=3$ and $y=2$

Choose the appropriate one among the options with respect to the algebraic expression $35xy+45x+5y^2+25xyz$.

Kimmy went to play with her friends. If Kimmy rolls a die, say 13 times, her score will be the addition of all the numbers appearing on the die each time. Kimmy got 'a' 2 times, 'b' 5 times and 'd' 6 times. What is the total score of Kimmy? [2 MARKS]

90 $\frac{km}{h}$ = ___ $\frac{m}{s}$

Write an algebraic expression for the statement '6 less than the quotient of x and 3 equals 2'.

A taxi-driver, filled his car petrol tank with $40$ litres of petrol on Monday. The next day, he filled the tank with $50$ litres of petrol. If the petrol costs $Rs.44$ per litre, how much did he spend in all on petrol?

The radii of two right circular cylinders are in the ratio of 3:2 and their heights are in the ratio of 4:5. Calculate the ratio of their curved surface areas and also ratio of their volumes. [4 MARKS]

The largest line segment in the given figure is

1. 20

If you have to represent 3 dozens and 6 bananas in dozens in the form of decimals, how would you do it?

The fraction represented by the shaded portion in the following figure is ________ .

If the interior angle of a regular polygon is double the exterior angle, then the polygon has ______ sides.

What is the value of $x$ if $4x-7=3x+5$ ?

The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to ${\frac{2}{3}}^{rd}$ of the circle. If the unshaded region corresponds to ${\frac{a}{3}}^{rd}$ of the circle. Then, the value of a is ___.

If A = {set of integers between -3 and 5}, then set A written in Roster form is

Find the factors of 84 among the following.

A ray OC is constructed on the line segment AB such that ∠BOC is x${}^{\circ }$. What will be the measure of ∠AOC in terms of x?

7 out of 42 students in a class are absent. Express this statement as a %.

Roni went to the market with ₹1000. She bought a saree for ₹375, a pair of shoes for ₹155 and a shawl for ₹285. How much money is left with her? Round it off to the nearest hundred and write the answer.
___

If the numbers 3, 5, 7, 4 have frequencies x, x+4, x-3, x+8 with their arithmetic mean of 4, then x will be _____.

There are ‘x’ chocolates in box A and ‘y’ chocolates in box B. 9 chocolates have been taken away from the total. Write an expression for the remaining chocolates.

What is the key feature of a sphere? How many faces, corners and edges does a sphere have? [2 MARKS]

-10 + 22 = ?

Find the area covered by a square which has a diagonal of length of $16\sqrt{2}$ meters.

An isosceles trapezium has an area of 36 cm², the parallel sides are 12 cm and 6 cm respectively. The perimeter of the trapezium should be

How many vertices does a cuboid have?

Which of these denote the price at which the seller sells the commodity?

Hindu Arabic Numeral of LXIII is

The Pictograph shows the number of ice -creams sold by an ice cream vendor. If each ice-cream cone costs ₹10, find the total amount earned by the vendor.

Add the fractions $\frac{3}{8}and\frac{2}{3}$.

Question 2 (c)

Find the area of the following circle, given that $(Take\pi =\frac{22}{7})$
radius = 5 cm

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as centre an arc FG is drawn (as shown in the figure).

What is the relation between length of arc DM and arc FG?

Question 1(iii)

Find the rule, which gives the number of matchsticks required to make the following matchsticks patterns. Use a variable to write the rule
A pattern of letter U as

Question 4(viii)

Give expression for the following case.

p multiplied by -5.

Area of a circular field is 3850 $c{m}^2$. What is the perimeter of that field?
$(Take\pi =\frac{22}{7})$

Find the value of:

$\frac{-7}{12}÷\left(\frac{-2}{13}\right)$

Subtract (ap+bq-cr) from (a+b+c)(p+q+r) . [1 MARK]

$15a{b}^2$ + $2a{b}^{2}x$ + $3a{b}^2$ + $2a{b}^{2}x$ + $2a{b}^2$ = _____

The length and breadth of a rectangular park are 45.2 metres and 15 metres respectively. Calculate its area.

The line segment joining any two points on the circle which passes through the centre of the circle is called a __.

According to the distributive law of multiplication over addition, for any integers a, b and c;
$a\times (b+c)=$ _________

Question 4 (a)

Write the following as decimal:

$\frac{5}{10}$

In 26.5, 2 is in ___ place.

The figure shown below consists of two hinged legs, ending in sharp points. The device is called a ___.

1. 5

Question 63

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 even integers.