Write the following using numbers, literals and signs of basic operations. State what each letter represents:
(i) The diameter of a circle is twice its radius.
(ii) The area of a rectangle is the product of its length and breadth.
(iii) The selling price equals the sum of the cost price and the profit.
(iv) The total amount equals the sum of the principal and the interest.
(v) The perimeter of a rectangle is two times the sum of its length and breadth.
(vi) The perimeter of a square is four times its side.
Write the following using numbers, literals and signs of basic operations:
(i) The sum of 6 and x.
(ii) 3 more than a number y.
(iii) One-third of a number x.
(iv) One-half of the sum of number x and y.
(v) Number y less than a number 7.
(vi) 7 taken away from x.
(vii) 2 less than the quotient of x and y.
(viii) 4 times x taken away from one-third of y.
(ix) Quotient of x by 3 is multiplied by y.
Think of a number. Multiply by 5. Add 6 to the result. Subtract y from this result. What is the result?
The number of rooms on the ground floor of a building is 12 less than the twice of the number ofrooms on first floor. If the first floor has x rooms, how many rooms does the ground floor has?
One apple weighs 75 grams and one orange weighs 40 grams. Determine the weight of x apples and y oranges.
Write each of the following products in exponential form:
(i) a × a × a × a × ..........15 times
(ii) 8 × b × b × b × a × a × a × a
(iii) 5 × a × a × a × b × b × c × c × c
(iv) 7 × a × a × a …….. 8 times × b × b × b × …… 5 times
(v) 4 × a × a × …… 5 times × b × b × ……. 12 times × c × c …… 15 times
The number of bacteria in a culture is x now. It becomes square of itself after one week. What will be its number after two weeks?
The area of a rectangle is given by the product of its length and breadth. The length of a rectangle is twothird of its breadth. Find its area if its breadth is x cm.
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