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Question 90

State whether the statement is True or False.

Product of a negative integer and a positive integer is a positive integer.

Question 117

In the given figure, find the measures of $\angle PON$ and $\angle NPO$

What is the order of rotation of asquare

Question 48

In the following question, fill in the blanks to make the statements true.

The usual from of $3.41\times {10}^6$is ___ .

Which of the following should be the THIRD sentence after rearrangement?

A wheel makes 360 revolutions in 1 minute. Through how many radians does it turn in 3 seconds?

Question 116

Below is the report card of Vidit Atrey. Vidit's teacher left the last column blank. Vidit is not able to make out, in which subject he performed better and in which he needs improvement. Complete the table to help Vidit know his comparative performance.

In the figure below, $x={30}^{\circ }$. The value of $(6y–3x)$ is ___.

In a right angle triangle the ratio of acute angles is 2 : 1. What are the angles of the triangle.

Ruchi and Sindhu went shopping. Sindhu had twice the amount of money as Ruchi. Ruchi shopped for utilities worth $Rs.60$ and Sindhu spent $Rs.210$. Now both of them have the same amount of money left. how much money did each one have at the beginning?

If absolute error and actual value of a number are 5, 15 respectively then relative error is

Name the solid whose net diagram is given below :

Question 58 (c)

Subtract:

$-4x^{2}y-y^3$ from $x^3+3x{y}^2-x^{2}y.$

Question 79 (b)

Identify the greater number, in each of the following.
$2^{9}or{9}^2$

The solution set for the inequation -3 $\le$ x $\le$ 3, x $\in$ I is

Define complementary angles.

Question 1(i)

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

Question 97

Two angles are making a linear pair. If one of them is one-third fo the other, then find the angles.

Consider the figure (triangular pyramid):

Let the number of faces be F, number of edges be E and number of vertices be V.

Then find the value of F + E + V.

A man buys a book for 300 rupees and sells it at a gain of 30 rupees. Find the gain percent?

Question 47

In questions 24 to 59, fill in the blanks to make the statements true.
Interest on Rs. 3000 at 10 % per annum for a period of 3 yr is ___ .

$2^2+2^2=2^a$ , then a = _____

Assertion : In $\Delta ABC$, median AD is produced to X such that AD = DX. Then, ABXC is a parallelogram.

Reason : Diagonals AX and BC bisect each other at right angles.

Which of the following is correct?

Arun bought a car for ₹ 3,50,000. Next year, the price went up to ₹ 3,70,000. What was the percentage of price increase?
[3 MARKS]

$(\frac{9}{13}÷\frac{3}{26})-[(-1+\frac{5}{3})-9\times 3]=$

A product is updated with $20\%$ Tax after a cost price of Rs. 500. Find the bill to be paid in rupees.

If 6x - 12 = 0 then x =

We say that a figure has a rotational symmetry of more than 1 when __.

Find the area of the given triangle ABC. Given that base BC = 5 cm and the corresponding altitude, AP = 4 cm.

Find the value of $-9-(-10)$ using number line:

180 km/h =___ m/s

(a) Prove that when two lines intersect, the vertically opposite angles are equal.
(b) Find the value of X in the given figure: [3 MARKS]

In the given figure, if AB = BC and $\angle BAO=\angle BCO={90}^{\circ }$, then which of the following is true?

Question 6
If two positive integers a and b are written as $a=x^3{y}^{2}andb=x{y}^2$ where x, y are prime numbers, then HCF (a, b) is

A) $xy$
B) $x{y}^2$
C) $x^3{y}^3$
D) $x^2{y}^2$

Question 15

Fill in the blanks to make the statement true.

The standard form of $\frac{-8}{-36}$ is ___ .

1. 48

An angle is ${14}^{\circ }$ more than its complementary angle. What is its measure?

Find the number of line segments in the following figure.

Question 55

If 5 is added to both the numerator and the denominator of $\frac{5}{9},$ will the value of the fraction be changed? If so, will the value increase or decrease?

Question 72

Arrange the rational numbers$\frac{-7}{10},\frac{5}{-8},\frac{2}{-3},\frac{-1}{4},\frac{-3}{5}$ in ascending order.

Question 2

Out of the four options, only one is correct. Write the correct answer.

Number of terms in the expression $3x^{2}y-2y^{2}z-z^{2}x+5$ is

(a) 2
(b) 3
(c) 4
(d) 5