Worksheet on framing the formula will help us to practice math formula sheet on how to frame a formula by translating mathematical statements using symbols and literals.
Worksheet on Framing the Formula
1. Write formulas for the following mathematical statements.
(a) The area of a triangle is equal to one-half the product of base and height.
(b) The diameter of a circle is twice the radius.
(c) The area of a trapezium is equal to the product of half the sum of the parallel sides and the perpendicular distance between them.
(d) The difference between the selling price and cost price is profit.
(e) The volume of a cuboid is equal to the product of its length, breadth and height.
(f) The surface area of the cube is 6 times of the square of its edge.
(g) The force acting on a body is equal to the product of the mass of the body and the acceleration produced by it.
(h) The speed of a vehicle is equal to the distance travelled by it upon the time taken to cover this distance.
(i) Arithmetic mean of three observations is equal to the sum of observations divided by the number of observations.
(j) The area of four walls of a room is equal to two times the product of perimeter and height of the room.
Worksheet on Framing the Formula
2. Using math literals and symbols, write the formula for the following mathematical statements.
(a) Five subtracted from a number gives seven.
(b) Four added to a number is 9.
(c) Two-thirds of a number is 10.
(d) One-fourth of a number is 3 more than 7.
(e) The sum of three times a number and 11 is 32.
(f) The sum of three consecutive odd numbers is 39.
(g) The sum of two multiples of 5 is 55.
(h) One number is 4 less than three times the other, if their sum is increased by 5 the result is 25.
(i) If 1/2 is subtracted from a number and the difference is multiplied by 4, the result is 5.
(j) The numerator of a fraction is 4 less than the denominator. If 1 is added to both numerator and denominator, the fraction becomes 1/2.
3. Answer the following:
(i) If the present age of a girl is x years.
(a) What will her age be after 7 years?
(b) What was her age 5 years ago?
(c) Her father’s age is 1 more than 6 times her age. Find her father’s
(d) Mother is 2 years younger than her father. What is her mother’s age?
(ii) The length of a rectangle is 5m less than 2 times the breadth of the rectangle. Find the length if the breadth is b.
(iii) A bus is moving from place A to place B with a uniform speed of x km per hour. After the bus had moved 7 hours, place B is still 11km away. Find the distance between A and B.
(iv) The weight of an orange is 50 g and that of a mango is 80 g. Find the total weight of x oranges and y mangoes.
(v) A man earns $x and spends $y in a month. Find the ratio of his
(a) savings to expenses
(b) expenses to earnings
(c) earnings to savings
4. Change the following math statements using expression into statements in the ordinary language.
(a) An eraser costs $x. A pencil costs $2x.
(b) A notebook costs $y. A pen costs $7 + y.
(c) The number of girls in a class is ‘n’. The number of boys in the class is (1/3)n.
(d) Arvind is y years old. His mother is (5y - 1) years old.
(e) In an arrangement of flowerpots, there are m rows. Each row has 8 flower-pots.
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