The grass on a ranch grows at a constant rate every week.

240 sheep will eat up the grass in 6 weeks

200 sheep will eat up the grass in 10 weeks

For how many weeks can the pasture sustain a herd of 190 sheep ?

Mr Kaufman needs a total of 24 hours to harvest his crops. If his son chips in for 6 hours, they will finish the harvesting in 16 hours. How many hours will his son take to harvest the crops all by himself ?

Randy and Steven can finish painting a farmhouse in 6 days. It takes Steve and Tim 9 days to do the same task. Randy and Tim take 12 days to do the same task. How many days will it take if the three boys do the painting together ?

If Hoses A and B are turned on at the same time, they will take 9 hours to fill a swimming pool. It takes Hoses A and C 12 hours to fill the same pool. Hoses B and C will take 18 hours to do the same job. How many hours will it take to fill the pool if all the three hoses are turned on at the same time ?

A piece of pasture is growing at a constant rate every day.

It is able to sustain a herd of 100 cows for 20 days

It is able to feed a herd of 150 cows for 10 days.

For how many days is the piece of pasture able to feed 250 cows ?

The figure below is made up of 16 identical squares of sides 1 cm

How many rectangles in the figure have an are of 4 cm² ?

( Hint: A square is a special rectangle )

Five  identical squares form the figure below.

Each square has sides of 5 cm. What is the area of the figure ?

The length of a rectangle is 4 cm more than its breadth. The perimeter of th rectangle is 40 cm. What is the area of the rectangle ?

In the figure below, the rectangle is made up of five identical small rectangles. The perimeter of the figure is 66 cm. Find the area of each small rectangle.

Find the perimeter of the figure below.

In the figure below, ABCD is a square. E and F are midpoints of BC and CD respectively. The area of the shaded region is 24 cm². What is the area of ABCD ?

The figure below is made up of two squares. Find the perimeter of the figure if its area is given as 85 cm² ?

In the figure below, E, G and H are the midpoints of AD, BC and CD respectively. F is a point on AB. Find the area of the shaded region if the area of rectangle ABCD is 64 cm².

Jack and his brother had 550 dollars altogether. Jack spent 60 dollars and his brother spent 30 dollars. Jack had 30 dollars more than his brother in the end. How much money had Jack at first ?

There were 72 students in Class 3A and Class 3B altogether. If 2 students were transferred from 3B to Class 3A, Class 3A would have 8 more students than Class 3B. How many students were there in Class 3B at first ?

Paul and May had 210 marbles altogether. When Paul gave May 18 marbles, both of them had the same number of marbles. How many marbles did each of them have at first ?

Carton A and Carton B had 80 apples in all. When 15 apples were transferred from Carton A to Carton B, the two cartons had the same number of apples. How many apples were there in each carton at first ?

Van and An have 180 books altogether. Van has 12 more books than An. How many books does each of them have ?

Anna and Bella have 320 dollars altogether. Bella and Tom have 360 dollars in all. Tom and Anna have 240 dollars altogether. How much does each of them have ?

There are 120 books altogether on a bookshelf. The top shelf holds 11 more books than the middle one. The bottom shelf holds 5 books fewer than the middle one. How many books are there on each shelf ?

Aloy and Ben have 150 dollars altogether. Aloy’s mother gives him another 40 dollars and Ben spends 10 dollars on a book. Ben then has 10 dollars more than Aloy. How much money does each of them have at first ?

There are a total of 660 passengers on two ships. 30 passengers alight from Ship A and 70 passengers board Ship B. As a result, the number of passengers on the two ships becomes the same. How many passengers are there on each ship at first ?

In the final match of a basketball league, the team that wins two consecutive games will be the champion. Otherwise, the team that wins three games in total will win the title. How many possible ways can a team win ?

Mrs Clancy rings her students to inform them of the cancellation of a lesson. In the first minutes, she informs Abel. In the second minute, she informs Dian, and Abel in turn informs Chloe and so on. How many students are informed of the cancellation of the lesson in 5 minutes ?

In the figure below, how many triangles can be formed using any three points ?