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What remains when $7x-3x^2$ is taken away from $4x+8x^2$?

We can represent 196 in exponential form as .

How to make a time machine.

Meena has 5 one rupee coins for every 2 five rupee coins in her pocket. She has ____% less number of five rupee coins than one rupee coins.

The twins Rina and Tina picked a fight while playing. It all started when they checked their weights using a digital weighing balance. Rina says that she weighs more than her sister. But Tina doesn’t agree with her.

The readings of the weighing balance are as follows:

Rina: 32.654 kg.

Tina: 32.659 kg.

Who do you think is correct? (Rina/Tina) __

A spinner has $4$ equal sectors colored yellow, blue, green and red. After spinning the spinner, what is the probability of landing on yellow color?

Question 78 (a)

Express each of the following numbers using exponential notations.
1024

Are two triangles congruent if they have same shape?

Question 35
Fill in the blank to make statement true.
A plane surface of a solid enclosed by edges is called ___.

Question 22

The per cent that represents the unshaded region in the figure, is

(a) 75 %
(b) 50 %
(c) 40 %
(d) 60 %

Question 25

In questions 24 to 59, fill in the blanks to make the statements true.
$18\frac{3}{4}\%=$ ___ : ___

Question 1
The angles between North and West and South and East are
(a) complementary
(b) supplementary
(c) both are acute
(d) both are obtuse

The longest chord of a circle is called ________of the circle.

$(-3)-(-4)$ ___ $(-4)+(-3)$

There are 40 passengers in a bus. Some have tickets worth ₹ 3 and remaining have tickets worth ₹10. The total collection from these passengers is ₹ 295. How many passengers have tickets worth ₹ 3?

(a) In the given figure, prove that $LX\parallel MY\parallel NZ$. [3 MARKS]

(b) If $k={50}^{\circ }$, then find the value of $\angle PSY$.

Why is a kink used in a graph? [1 MARK]

Question 63

State whether the statement is True or False.

Two supplementary angles always form a linear pair.

Question 90

A new computer costs Rs. 100000. The depreciation of computers is very high as new models with better technological advantages are coming into the market. The depreciation is as high as 50% every year. How much will the cost of computer be after two years ?

Question 79

In the following question, state whether the given statements are true (T) or false (F).

The value of $\frac{1}{4^{-2}}=16$

Write the contrapositive of the statement.

'If a triangle is equilateral, then it is isosceles'.

Find the area of a square park whose perimeter is 320 m.

Question 1(d)
Give first the step you will use to separate the variable and then solve the equation:
X + 6 = 2

Q. Compare the following rational Numbers and find which is greater:

9/-13 or 7/ -12.Kindly include the steps and reasons too as my doubt is regarding the value of two negative rational Numbers in comparison.

Question 9 (iv)
In the adjoining figure:

Are $\angle$ BOD and $\angle$ DOA supplementary?

Question 2 (ii)
In the adjoining figure, identify:

The pairs of alternate interior angles.

Question 14 (i)
In the adjoining figure, name the following pairs of angles:
Obtuse vertically opposite angles.

What is the maximum number of lines of symmetry a pentagon can have?

Question

Prove that one of every three consecutive integers is divisible by3

Express 216 in exponential form.

Choose the correct option for the underlined phrase.

The money lender would have been counting his money.

The value of $\frac{\left(\frac{1}{2}\right)\times \left(\frac{1}{2}\right)+\left(\frac{1}{2}\right)}{\left(\frac{2}{1}\right)\times \left(\frac{1}{2}\right)\times \left(\frac{3}{4}\right)}$ is ___.

What is the angle subtended by green portion at the center of following pie chart.

If we subtract $\frac{3}{8}$ from $\frac{5}{6}$, then we get ___.

A triangle having sides measuring 5 cm, 11 cm and 13 cm is _______ triangle.

Which of the following is/are equivalent rational numbers with respect to $\frac{2}{5}$?

Question 1 (iv)
Express 5005 as the product of its prime factors.

Write the following ascending order.
$0.3$, $0.05$, $0.03$, $0.1$

If AB is the chord of the circle, the region in the yellow and purple are ________________.

A fruit seller sold 40% of his apples and was left with 420 apples. What is the number of apples he had initially?​

Question 96

State whether the statement is True or False.

$99\times 101$ can be written as $(100-1)\times (100+1).$

In the figure given below, if OP || RS, ∠OPQ=110^o and ∠QRS=130^o, then ∠PQR is equal to

How is $\frac{6}{25}$ represented as a decimal?

The reciprocal of -10 is

What is the criteria for any two plane figures to be congruent? [1 MARK]

Using the identites of algebriac expression , find the following :

$\left(i\right)403\times 397$

$\left(ii\right){8.2}^2$

$\left(iii\right)9.7\times 9.8$

$\left(iv\right){22.9}^2-{7.1}^2$ [4 MARKS]

In two triangles, MN = PQ, MO = PR and NO = QR. Are these triangles congruent? If yes, under which correspondence?