Solving Word Problems using Algebra (Worksheets)

Solve the following word problems:
a) When 9 is subtracted from a number and then divided by 2, the answer is 4. What is the number?
The number is

b) The length of a rectangle is twice that of the width. The perimeter of the rectangle is 25 cm. What is the width of the rectangle?
The width of the rectangle is cm

c) Marcus, Sally and Sammy decided to share 20 sweets. Marcus took 8 sweets and Sally took three times as many as Sammy. How many sweets did Sammy receive?
Sammy received sweets.

d) If the sum of three consecutive numbers is 72, what is the largest number?
The largest number is

e) Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?
Andy is years old and his father is years old.

f) The length and breadth of a rectangle are (x + 5) cm and 3 cm respectively. Find the length if the area of the rectangle is 42 cm2.
The length is cm

g) Carol is y years old and her daughter is 25 years younger.
Find Carol’s present age if the sum of their ages in 6 years’ time is 75 years
Carol’s age is

h) Diana buys 20 apples at x cents each and 40 oranges at x + 10 cents. She packs them into bags containing 5 apples and 10 oranges and sells the bags for 20x cents each. .
Find out the amount that Diana paid for each apple if she obtained a total of RM 24 from selling all the fruits.
The apple cost cents each

We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

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