EASY
Earn 100

When a thunder and lightning storm approaches, you can calculate approximately how far away the storm is (in miles) by counting the time between seeing the lightning and then hearing the thunder. The table below shows the relationship between the seconds counted and how far away the storm is.
Seconds counted 5 10 15 25 30
Distance from storm (miles) 1 2 3 5 6

If you are 10 miles away from a storm, how many seconds would you expect to count between seeing the lightning and hearing the thunder?

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Important Questions on Algebraic Expressions and Equations

EASY
Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be x, what is the number of oranges in the larger box?
EASY

Write the algebraic expression for the following.

2 more than 3 times of a

EASY
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.)
EASY
Leela is Radha's younger sister. Leela is 4 years younger than Radha. If the Leela's age in terms of Radha's age is k years, then find the value of k. (Take Radha's age to be x years).
MEDIUM

The diameter of a circle is a line which joins two points on the circle and also passes through the centre of the circle. (In the below figure AB is a diameter of the circle; C is its centre). Express the diameter of the circle (d) in terms of its radius (r).

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MEDIUM

Write the algebraic expression for the following.

Sum of numbers p and 2 subtracted from the product of A and B.

EASY
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? How many dots are there if there are 8 rows? If there are 10 rows?
EASY
The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.
EASY
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).
MEDIUM
A bird flies 1 kilometer in one minute. Can you express the distance covered by the bird in terms of its flying time in minutes? (Use t for flying time in minutes.)
HARD
Ranjan starts from Delhi at 6:00 am for Dehradun. If the speed of his car is v km/hr and he observes at 11:00 am that he is just 50 km from Dehradun, find the distance between Delhi and Dehradun in terms of v. What is the importance of using a seat belt, while travelling in a car?
EASY
A cube is a three-dimensional figure as shown in Fig. 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.
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HARD

If Rohan spends x every day and saves y every week, what is his income in (₹) three weeks? How can you help your parents by saving money?

EASY
Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?
MEDIUM
A show organiser has 500 tickets. He sells t tickets every day. Write an algebraic expression to find the number of tickets that he would sell in w weeks.
EASY
Cadets are marching in a parade. There are 5 cadets in a row. What is the rule which gives the number of cadets, given the number of rows?(Use n for the number of rows.)
MEDIUM
Make up as many expressions with numbers (no variables) as you can from three numbers 5,7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication.
EASY
Leela is Radha's younger sister. Leela is 4 years younger than Radha. Can you write Leela's age in terms of Radha's age? Take Radha's age to be x years.
EASY
The side of a regular hexagon is denoted by l. Express the perimeter of the hexagon using l.
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