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A man walked for some distance at 8 km/h and for an equal distance at 5 km/h. The total time he took was 3(1/4) hours. Find the total distance he walked?

If a piece of wood 5 cm longer than a second piece and 3/4 of the second piece is equal to 3/5 of the first, what is the length of the second piece?

A half of what John’s age was 4 years ago is equal to one third of what it will be in 5 years time. How old is John now?

Mary’s age is 2/3 that of Peter’s. Two years ago Mary’s age was 1/2 of what Peter’s age will be in 5 years time. How old is Peter now?

A mother is 21 years older than her new born daughter. How old will the daughter be when her age is 1/4 that of her mother’s

Meiling and Meimei divide $69 into 2 shares. 3/4 of Meiling’s share is equal to 2/5 of Meimei’s share. How much does each get?

How can the number 39 be divided into two parts in order that the sum of 2/3 of one part and 3/4 of the other part is 28?

When a number is added to 4, the result is equal to subtracting 10 from three times of it. What is the number?

5 is subtracted from 4 times a number and the result is then doubled. If the answer is 6, what is the original number?

A number, when added to 5, gives the same result as when of it is subtracted 2 3 from 6. What is the number?

When 18 is added to 1/4 of a number, the result is 2(1/2) times the original number. What is the number?

When 25 is added to a number and the result is halved, the answer is 3 times the original number.

A particle is projected from ground level so that its height above the ground after t seconds is given by 20t-5t^2 m. After how many seconds is it 15 m above the ground? Can you explain briefly why there are two possible answers?

A piece of wire 44cm long is cut into two parts and each part is bent to form a square. If the total area of the two square is 65cm^2, find the perimeter of the two squares.

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Two positive numbers differ by 5 and the square of their sum is 169. Find the numbers.

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Two positive numbers differ by 7 and the sum of their square is 169. Find the numbers.

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The length of a rectangle is 5 cm longer than its width and its area is 66 cm^2. Find the perimeter of the rectangle.

The difference between two numbers is 3. If the square of the smaller number is equal to 4 times the larger number, find the numbers.

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The base and height of a triangle are (x+3) cm and (2x-5) cm respectively. If the area of the triangle is 20cm^2, find x.


A rectangle field 70 m long and 50 m wide has a path of uniform width around it. If the area of the path is 1024 m^2, find the width of the path.

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