Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cca1f59b460d7261edb3.PNG' />
In the above figure, a key board of a harmonium is given. Find the ratio of white keys to black keys on the keyboard.
Question 2 :
Choose the correct option. Number of students in a hostel and consumption of food
Question 3 :
If two quantities x and y vary directly with each other, then ______ of their corresponding values remains constant.
Question 4 :
With an increase in quantity of milk, cost of milk also ___________.
Question 5 :
Many schools have a recommended students-teacher ratio as 35:1. Next year, school expects an increase in enrolment by 280 students. How many new teachers will they have to appoint to maintain the students-teacher ratio?
Question 6 :
Find selling price (SP) if a profit of 5% is made on a cycle of Rs 700 with Rs 50 as overhead charges.
Question 7 :
Find the population of a city after 2 years, which is at present 12 lakh, if the rate of increase is $4\%$.
Question 8 :
During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1,450 and two shirts marked at Rs 850 each?
Question 9 :
60% people in a city like cricket, 30% like football and the remaining like other games. If the total number of people are 50 lakh, find the exact number who like football game.
Question 10 :
Two times a number is a $100\%$ increase in the number. If we take half the number what would be the decrease in percent?
Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cccef59b460d7261eded.PNG' />
Refer to the above image. Determine whether there is a single repeater machine that will do the same work. If so, describe it.
Question 13 :
State true or false: Very small numbers can be expressed in standard form using positive exponents.
Question 16 :
Find the square root of 324 by the method of repeated subtraction.
Question 17 :
A number having 7 at its ones place will have 3 at the units place of its square. Is it true or false ?
Question 18 :
The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.
Question 19 :
The cube root of 729 is 8. Is it true or false ?
Question 20 :
By what smallest number should 3600 be multiplied so that the quotient is a perfect cube?
Question 22 :
Solve 8x – 7 – 3x = 6x – 2x – 3.
Question 23 :
The perimeter of a rectangle is 240 cm. If its length is increased by 10% and its breadth is decreased by 20%, we get the same perimeter. Find the length and breadth of the rectangle.
Question 24 :
If $\frac{5x}{3}-4=\frac{2x}{5}$, then the numerical value of 2x – 7 is
Question 25 :
A linear equation may have linear expressions on_______of the equality sign.
Question 26 :
How many binomials are there in the list? $– z + 5$, $x + y + z$, $y + z + 100$, $ab – ac$, 17
Question 28 :
Use the identities to find the product of $(4x – 5) (4x – 1)$
Question 32 :
Some equations may not even be linear to begin with, but they can be brought to a linear form by multiplying both sides of the equation by a suitable expression. Is it TRUE or FALSE?
Question 34 :
An algebraic equation is an equality involving variables.Is it TRUE or FALSE ?
Question 35 :
One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
Question 37 :
How many digits are the in the square root of 144? Find out without calculating square roots.
Question 38 :
How many digits are there in the square root of 25600? Find out without calculating square roots.
Question 39 :
What is the square root of 784? Find by long division method.
Question 42 :
A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find the present age of the granddaughter.
Question 46 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $(3mn , 4np)$
Question 47 :
Add the expression: $l^2 + m^2$ , $m^2 + n^2$ , $n^2 + l^2$ , $2lm + 2mn + 2nl$
