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Question 1 (vii)

Get the algebraic expression in the following case using variables, constants and arithmetic operations:

Product of numbers y and z subtracted from 10.

An unchanging relation is given by the following star

If using the same unchanging relation, new star is formed an shown, then the value of a & b is equal to

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes.

$$\begin{array}{ccccc}Outcome& 3heads& 2heads& 1heads& 0heads\\ Frequency& 22& 76& 83& 19\end{array}$$

What is the probability of getting

(i) not more than one head?
(ii) at least two heads?
(iii) exactly two heads? [3MARKS]

The value of S in $\frac{1}{3}+S=\frac{2}{5}$ is ____.

By what number should $\frac{-33}{8}$ be divided to get $\frac{-11}{2}$?

1. 99

The sum two angles is 90^o then the angles are called:

Solve the following.

There are 60 questions in a question paper. If Chandra answers 90% of them, how many questions has she answered?

Simplify 16*2n+1-4*2n/16*2n/1*2n+2-2*2n+1

If, $317\times 45=14265$, then $3.17\times 4.5=?$

Triangle ABC is a triangle, right angled at $\angle ABC$. If AB = 9cm ; AC = 41cm, find the length of BC.

For A = {1,2,3}, B = {1,4,5}, then $A\cap B$ is

Solve the following.

Find the third term of 48 and 36.

Simplify : $\frac{7\sqrt{5}-\sqrt{15}}{\sqrt{5}}$

Match the expressions with their subsequent values.

D and E are points on the sides AB and AC, respectively, of $△$ABC such that DE || BC and DE divides $△$ABC into two parts that are equal in area. Find $\frac{BD}{AB}$.

Choose the wrong number in the series given below :

$4,5,15,49,201,1011,6073$

In integers, 1 is the identity for-

Question 5(viii)

Give expression for the following case.

y is multiplied by -5 and the result is added to 16.

In an isosceles $\Delta$ABC, $\angle$A is 30${}^{\circ }$. The sides AB and AC are equal. Using constructions, find which side of $\Delta$ABC is the shortest.

Question 5(viii)
Write the following equation in statement form:
$\frac{p}{2}+2=8$

The squares of two natural numbers a, b are 529 and 841. It is given that a > b. Choose the correct options.

Question 100 (i)

Express the following property with variables x, y and z.

Commutative property of addition

The total length of the pencil is .

I left home at 3:00pm and returned at 3:48pm. The clock was rotated by ${45}^{\circ }$, so that when I left, the hour hand of a clock was pointing along the south-east direction. In which direction would the hour-hand point when I returned?

Question 50

State whether the statement given is True or False.

If we subtract a monomial from a binomial, then answer is at least a binomial.

If there are ‘12b’ bananas, ‘9a’ apples and ‘5p’ papayas in the basket of Kenchappa the fruit seller, find the total number of fruits.

In a school, there are 120 students. 20 students have no pets, 46 have only 1 pet, 33 have 2 pets, and 21 have at least 3 pets. If a student is picked at random, what is the probability that the student has at least 1 pet?

Question 40 (a)

Fill in the blanks with <, > or = sign.
$3^2\text{\_\_}15$

Shubendhu buys an old scooter for ₹ 4700 and spends ₹ 800 on its repairs. If he sells the scooter for ₹ 5800, what is his gain (in percentage)?

250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is as below.
$\begin{array}{cccccc}\text{Marks secured}& 0-20& 21-40& 41-60& 61-80& 81-100\\ \text{Number of students}& 20& 35& 65& 60& 70\end{array}$

Find the probability of selecting at random, a student who scored

(i) not more than 40
(ii) more than 60
(iii) more than 80 [ 2 MARKS ]

If $5.3x-4.3\ge 3.4x+7.7$, then .