Question 1 :
A square of side x is taken A rectangle is cut out from this square such that one side of the rectangle is half that of the square and the other is$\displaystyle \frac{1}{3}$ of the first side of the rectangle<br>What is the area of the remaining portion?

Question 2 :
Perimeter of a square is the sum of the lengths of all the _____ sides.<br/>

Question 4 :
An angle which is more than $180^{\circ}$ and less than $360^{\circ}$ is called:

Question 5 :
Mark the correct alternative of the following.<br>$\angle A$ is an obtuse angle. The measure of $\angle A$ and twice its supplementary differ by $30^o$. Then, $\angle A$ can be?

Question 6 :
Mark the correct alternative of the following.<br>An angle of measure $140^o$ is?<br>

Question 7 :
On Saturday afternoon, Armand sent $m$ text messages each hour for $5$ hours, and Tyrone sent $p$ text messages each hour for $4$ hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?

Question 8 :
$520\ g$ of tiny pink pebbles are mixed with $580\ g$ of tiny purple pebbles. Vihan packed the mixture of the tiny pebbles into $5$ equal packets. How many grams of the mixture are there in each packet?

Question 9 :
Class mark of a particular class is 6.5 and class size is 3 then class interval is:

Question 13 :
Assertion: Kilogram is a standard unit of mass. Reason: Kilogram is well defined and invariant.

Question 14 :
If a $3$-pound pizza is sliced in half and each half is&#160;sliced into thirds, what is the weight, in ounces, of&#160;each of the slices? ($1$ pound = $16$ ounces)

Question 15 :
A tyre has two punctures. The first puncture alone would have made the tyre flat in $9$ minutes and the second alone would have done it in $6$ minutes. If air leaks out at a constant rate how long does it take both the punctures together to make it flat ?

Question 16 :
$A$ can do a piece of work in $7$ days of $9$ hr each and $B$ can do it in $6$ days of $7$ hr each. How long will they take to do it working together&#160;$\displaystyle \frac{42}{5}$ hr a day?

Question 18 :
There are $500$ students in a class in which there are $100$ boys. 50 boys like Mathematics and 100 girls dislike Mathematics. Tabulate the given data and calculate the number of girls who like the subject Mathematics.

Question 19 :
<br/>A __________&#160;unit does not change with respect to space and time.<br/>

Question 20 :
The times, in seconds, taken by 150 atheletes to run a 110 hurdle race are tabulated below :<br><table class="wysiwyg-table"><tbody><tr><td>Class <br></td><td>Frequency<br></td></tr><tr><td>13.8-14<br></td><td>2<br></td></tr><tr><td>14-4.2<br></td><td>4<br></td></tr><tr><td>14.2-14.4<br></td><td>5<br></td></tr><tr><td>14.4-14.6<br></td><td>71<br></td></tr><tr><td>14.6-14.8<br></td><td>48<br></td></tr><tr><td>14.8-15<br></td><td>20<br></td></tr></tbody></table>The number of atheletes who completed the race in less then 14.6 seconds is :<br>

Question 21 :
Annette took $10$ minutes to walk around a rectangular field. The length of the field is $4$ times its width. How long would it take Annette to walk the width of the field?

Question 22 :
Assertion: 10 decades make a century. Reason: 1 century makes 100 years and 1 decade make 10 years.

Question 23 :
A group of $110$ people is divided into $4$ committees. Ifeach committee contains at least $2$ people, which of thefollowing statements must be true?

Question 24 :
State whether given statement is True or False.<br/>The SI unit of mass is milligram.

Question 25 :
What is the advantage of choosing the wavelength of light as a standard of length?<br>

Question 27 :
If $14$ milliliters of a certain liquid has a mass of $16$ grams. What is the mass (in grams) of $28$ liters of this liquid? ($1$ liter = $1,000$ milliliters)

Question 28 :
If $45$ students can consume a stock of food in $2$ months, then for how many days the same stock of food will last for $27$ students?

Question 30 :
Trees are to be planted inside a circular tree orchard so that there are $5$ trees per square meter. The circumference of the tree orchard is $30$ meters. If trees are available only in allotments of packages of $6$, how many allotments will the caretaker need to purchase?

Question 31 :
Nate walks $25$meters in $13.7$ seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in $4$ minutes?

Question 32 :
If the weight of $5$ bags of rice is $272\ kg$, then the weight of $1$ bag of rice is

Question 33 :
If surface tension (S), Moment of inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be :-

Question 34 :
<table class="wysiwyg-table"><tbody><tr><td>Age</td><td>Male</td><td>Female</td><td>Total</td></tr><tr><td>$0-18$ year old</td><td>$56$</td><td>$50$</td><td>$106$</td></tr><tr><td>$19-40$ years old</td><td>$108$</td><td>$90$</td><td>$198$</td></tr><tr><td>$41-65$ years old</td><td>$126$</td><td>$135$</td><td>$261$</td></tr><tr><td>$66+$ years old</td><td>$90$</td><td>$96$</td><td>$185$</td></tr><tr><td>Total</td><td>$380$</td><td>$370$</td><td>$750$</td></tr></tbody></table>The age of a random sample of people from a population is summarized in the table above. The whole population consists of $31,000$&#160;people. Mark the correct statement.