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A die is rolled $6$ times which results in the outcomes as $1,3,3,3,4,4$. Match the followings:

If one bell rings every 5 seconds and the other one rings every 10 seconds starting from 0 seconds, then they will ring together at _____ seconds.

1. 24

Complete the given pattern

अन्वयं
कुरुत-

(क)
द्रुतं
यदि यामि वसनं
मे

भवेदार्द्रं
सलिलवेगै:।

(ख)
कृषन्त्या
मे घटं रज्ज्वा

करेऽप्यास्ते
महास्फोट:।

1. 1024

Estimate the product of 456 and 82 by rounding off 456 to the nearest hundreds and 82 to the nearest tens.

1. 123.3

If Neel travels 1 km in 1.25hrs, then how much time will it take him to reach 1000metres?

Consider the figure:

If BC = AC, x = 2y, and angle ACB = 60^o, then find the value of $\angle A$ + $\angle B$ + $\angle x$ + $\angle y$ (in degrees).

State whether a given pair of terms is of like or unlike terms:

(i) $-1,100$

(ii) $-7x,\frac{5}{2}x$

(iii) $–29x,-29y$

(iv) $14xy,42yx$

(v) $4m^{2}p,4m{p}^2$

(vi) $12xz,12x^2{z}^2$

Construct an angle of ${30}^{\circ }$ without using protractor. [2 MARKS]

Which of the following is a 3D shape?

Which of the following is/are monomial, or can be made monomial?

Logan has to find the sum of the given fractions. Being the smart boy he is, Logan splits each fraction into two so that he does not need to add the fractions directly. Follow Logan's method and find the sum:

$\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{4}$

Which of the following gives the area of the rectangular shaded region in the below figure?

Question 149

Repeater Machine

Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. e.g. Sending a piece of wire through a $(\times 2^4)$ machine is the same as putting it through a $(\times 2)$ machine four times.

So, if you send a 3 cm piece of wire thorugh a $(\times 2{)}^4$ machine, its length becomes $3\times 2\times 2\times 2\times 2=48cm.$ It can also be written that a base (2) machine is being applied 4 times.



What will be the new length of a 4 cm strip inserted in the machine?

For the construction of an angle of measure $22{\frac{1}{2}}^{\circ }$ using a compass, which of the following angle should be constructed first?

The bar graph below gives the number of calories consumed by three guys A, B and C after eating chocolate. What is the amount of calories consumed by C if his share of chocolate is equal to $(\frac{3}{8}{)}^{\text{th}}$ of what A has eaten?

Which one of the following represents the inequality $x\ge 0$?

Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution

The sum of interior angles of a triangle is always _______.

The number $\frac{-15}{7}$, on the number line, lies between ________.

Match the following for flipping a fair coin. (P, H and T stand for probability, head and tail, respectively)

a) What information is given by the graph?



b) The marks of a maximum number of students fall in which group.



c) How many students have a score between 60-70?



d) How many students have a score more than 70? [4 MARKS]

Which of the following is a recurring decimal?

a)4.171717.....

b)5.131131131......

c)6.989989989989......

The angle obtained when a straight angle is bisected is.

The fraction $\frac{4}{5}$ is not equivalent to the fraction

Question 31
A number is divisible by 5 and 6. It may not be divisible by

(A) 10
(B) 15
(C) 30
(D) 60

SI unit for volume is

The solution of equation "7p - 1 = 55" is:

Question 1(f)

State whether the given expression is an equation or not. Give reason for your answer. Identify the variable from the given expression

$x-2=0$

If $3x+7=13$, then $x$ is

Question 93

In the following question, state whether the given statement is true (T) or false (F).
If the sum of two distinct whole numbers is odd, then their difference also must be odd.

The following number line represents the sum _________