Question 2 : In a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.<br/>If true then enter $1$ and if false then enter $0$

Question 3 : $\Uparrow \quad \Uparrow\quad&#160; \Uparrow \quad \Uparrow$&#160; Number represented by figure is ____, if each symbol represents 5 houses.

Question 4 : The following table gives the ares of the oceans of the world&#160;<br/><table class="wysiwyg-table"><tbody><tr><td><b>Ocean</b></td><td><b>Area (million&#160;$\displaystyle km^{2}$)</b></td></tr><tr><td>Pacific</td><td>$70.8$</td></tr><tr><td>Atlantic</td><td>$41.2$</td></tr><tr><td>Indian</td><td>$28.5$</td></tr><tr><td>Antarctic</td><td>$7.6$</td></tr><tr><td>Arctic</td><td>$4.8$</td></tr></tbody></table>A pie diagram of this data is to be drawn What is the angle which the sector representing Pacific Ocean subtends at the center?

Question 9 : The following pie chart represents the distribution of proteins in part of a human body. What is the ratio of distribution of proteins in the muscles to that of proteins in the bones?

Question 10 : What is angle for the time that Sikander spent at home?

Question 11 : What is the central angle of the sector (in the above pie chart) representingskin and bones together?

Question 12 : The probability of getting number less than or equal to $6$, when a die is thrown once, is<br/>

Question 13 : The table shows the number of cups of four different beverages sold by a coffee shop. What is the angle of sector representing tea in a pie chart?<br><table class="wysiwyg-table"><tbody><tr><td>Beverage<br></td><td>Number of cups<br></td></tr><tr><td>Coffee</td><td>60<br></td></tr><tr><td>Tea<br></td><td>75<br></td></tr><tr><td>Hot chocolate<br></td><td>25<br></td></tr><tr><td>Milk<br></td><td>40<br></td></tr></tbody></table><br>

Question 14 : Sapna found the following data in an almanac.<br><br><table class="wysiwyg-table"><tbody><tr><td>Crop</td><td>Area planted (in acres)</td></tr><tr><td>Wheat</td><td>$55,000$</td></tr><tr><td>Corn</td><td>$32,500$</td></tr><tr><td>Potatoes</td><td>$30,000$</td></tr><tr><td>Lettuce</td><td>$40,000$</td></tr><tr><td>Carrots</td><td>$22,500$</td></tr><tr><td>Total</td><td>$180,000$</td></tr></tbody></table><br>She needs to use it to make a circle graph. What is the best estimate of the number of degrees that shouldbe in the central angle of the section that represents wheat?

Question 15 : Two cards are drawn simultaneously from a well shuffled pack of $52$ cards. The expected number of aces is?

Question 17 : Find the cube root of the following number by prime factorization method: $46656$

Question 18 : If the cube root of a number , which is $8$ more than a number $n$ equals&#160;$-0.5$, find the value of $n$.

Question 20 : What is the value of$\displaystyle \sqrt [ 3 ]{ 27 } \times \sqrt [ 3 ]{ -27 }$ ?

Question 22 : Find the cube root of the following number by prime factorization method:$27000$

Question 29 : What is the approximate value of the cube root of the number $12?$<br/>

Question 30 : State whether true or false:<br/>If $x^3 = 11$, then $x=\sqrt[3] {11}$

Question 32 : By what least number must 3600 be divided to make it a perfect cube?

Question 33 : Find the value of cube root of the number $823$. (Round off your number to the nearest whole number)<br/>

Question 34 : Find the value of cube root of the number $1290$. (Round off your number to the nearest whole number)<br/>

Question 35 : Find the value of cube root of the number $6860$. (Round off your number to the nearest hundredth)<br/>

Question 36 : Raviraj invested an amount of Rs. $10,000$/- at C.I. of $10\%$ p.a. for a period of $3$ years. How much amount will Raviraj get after $3$ years?

Question 37 : At what rate per cent compound interest does a sum of money become four fold in $2$ years?

Question 38 : A consumption tax imposed by the government on the sale of goods and services is called <br>

Question 39 : A sum of money at compound interest amount to three times of its self in three years. in how many years will it be nine times of its self?

Question 40 : A shopkeeper marks his goods at such a price that would give him a profit of 10% after allowing a discount of 12%. If an article is marked Rs. 2250, find its: (1) Selling price

Question 41 : Mahesh bought a leather coat, quoted at Rs. $12000$ for Rs. $30000$ after paying the sales tax. Calculate the rate of sales tax charged.<br/>

Question 42 : The list price of a video is Rs $10,500$. If the rate of sales tax is $10\%$, then the total amount for purchasing the video is

Question 43 : A manufacturer marks an article for Rs. 10,000. He sells it to a wholesalerat 40% discount. The wholsealer sells this srticle to a retailer at 20% discount on the marked price of the articles. If retailer sells the article to a customer at 10% discount and the rate of sales-tax is 12% at each stage, find the amount of VAT paid by the:<br>(i) Wholesaler (ii) retailer

Question 44 : A shopkeeper reduces the price of his goods by $50\%$ at the time of sale. Initially the price was fixed to get a profit of $25\%$ on selling price after allowing $10\%$ cash discount. His approx. $\%$ of profit or loss?

Question 45 : The price of an item decreased by $20$% to $ $200$. then later the price decreased again from $ $200$ to $ $150$. What is the percent of decrease from the original to the final price of $ $150$

Question 46 : Raj has some apples. He sold $40\%$ more than he ate,. If he sold $70$ apples, how many did he eat?<br/>

Question 47 : A man invests Rs. $12500$ at $2\%$ per annum compound interest for $3$ years. Calculate the interest for the $1st$ year.<br/>

Question 48 : If the rate of $VAT$increases by $2\%$ then selling price of an article goes up by $Rs.\ 140$. Find the marked price of the article.