Question 4 :
The length of a rectangular hall is 4 metres less than 3 times the breadth of the hall. What is the length, if the breadth is b metres?
Question 5 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a8d78c526e972caefb5.PNG' />
In the above image, the diameter of a circle is a line which joins two points on the circle and also passes through the centre of the circle. (AB is a diameter of the circle; C is its centre). Express the diameter of the circle 'd' in terms of its radius 'r'.
Question 6 :
Take Sarita's present age to be 'y' years. Sarita's grandfather is 6 times her age. What is the age of her grandfather?
Question 7 :
A bus travels at 'v' km per hour. It is going from Daspur to Beespur. After the bus has travelled 5 hours, Beespur is still 20 km away. What is the distance from Daspur to Beespur? Express it using 'v'.
Question 8 :
Find the solution to the equation m + 10 = 16.
Question 9 :
Take Sarita’s present age to be y years. Sarita’s grandfather is 6 times her age. What is the age of her grandfather?
Question 11 :
State if the following is an equation. Identify the variable from the equations with a variable. $z + 12 > 24$
Question 12 :
Solve the Riddle: Tell me who I am ; I shall give a pretty clue! ; You will get me back ; If you take me out of twenty two!
Question 13 :
Take Sarita’s present age to be y years. Sarita’s grandfather is 6 times her age. Grandmother is 2 years younger than grandfather. What is grandmother's age?
Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a8b78c526e972caefaf.PNG' />
In the above image, matchstick pattern of squares is given. The squares are not separate. Two neighbouring squares have a common matchstick. Observe the pattern and find the rule that gives the number of matchsticks in terms of the number of squares. (Hint: If you remove the vertical stick at the end, you will get a pattern of Cs.)
Question 15 :
State if the following is an equation. Identify the variable from the equations with a variable. $7 – x = 5$
Question 17 :
Solve the Riddle: Go round a square ; Counting every corner ; Thrice and no more! ; Add the count to me ; To get exactly thirty four!
Question 21 :
The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students? (Use 's' for the number of students).
Question 24 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a8c78c526e972caefb2.PNG' />
In the above image, the side of a regular hexagon is denoted by $l$. Express the perimeter of the hexagon using $l$.
Question 26 :
Identify the variable from the equation 17 = x + 7.
Question 27 :
Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step 's', Beena is 8 steps ahead and Leena 7 steps behind. Where is Meena?
Question 28 :
State if the following is an equation. Identify the variable from the equations with a variable. $ 20 = 5y$
Question 30 :
Take Sarita's present age to be 'y' years. What was her age 3 years back?
Question 31 :
State if the following is an equation. Identify the variable from the equations with a variable. $x-2=0$
Question 33 :
Take Sarita’s present age to be y years. What was her age 3 years back?
Question 34 :
Give expressions for y is multiplied by - 8 and then 5 is added to the result.
Question 37 :
Radha is drawing a dot Rangoli (a beautiful pattern of lines joining dots) with chalk powder. She has 9 dots in a row. How many dots will her Rangoli have for 'r' rows?
Question 38 :
State if the following is an equation. Identify the variable from the equations with a variable. $\frac{3q}{2}<5$
Question 39 :
Does h = 0 satisfy the equation h - 8 = 5?
Question 40 :
Give expressions for 5 times y from which 3 is subtracted.
Question 42 :
State if the following is an equation. Identify the variable from the equations with a variable. $\frac{4}{2}=2$
Question 44 :
Does p = 0 satisfy the equation p + 3 = 1?
Question 46 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a8d78c526e972caefb6.PNG' />
Find the rule which gives the number of matchsticks required to make the above matchstick pattern. Use a variable to write the rule. (Take variable as 'n').
Question 47 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a8c78c526e972caefb1.PNG' />
A cube is a three - dimensional figure as shown above. It has six faces and all of them are identical squares. The length of an edge of the cube is given by $l$. Find the formula for the total length of the edges of a cube.
Question 48 :
If there are 50 mangoes in a box, how will you write the total number of mangoes in terms of the number of boxes? (Use 'b' for the number of boxes).
Question 49 :
State if the following is an equation. Identify the variable from the equations with a variable. $ 7 = (11 \times 5) – (12 \times 4)$