Equation + expression of a variable from the formula - practice problems
Number of problems found: 846
- A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle.
- The length 20
The length and breadth of a rectangular park are in the ratio 8:5. A path,1.5 m wide, running all around the outside of the park has an area of 594 sq m. Find the dimensions of the park.
- A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field.
- The average 17
The average monthly salary of 20 workers in an office is $4590 . If the manage's salary is added, the average salary becomes $ 4920 per month What's the manager's monthly salary?
- Four numbers 3
What least number must be added to each of the numbers 6,15,20 and 43 to make them proportional?
- The angle 9
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increases to 60°. Find the height of the tower and the distance of the tower
- Surface = volume
If the volume and the surface area of a sphere are numerically the same then find its radius.
- GP - terms
Which term of the G.P., 2, 8, 32, ... up to n terms is 131072?
- Susan 5
Susan has a water tank in his back garden that can hold up to 750L in water. At the start of a rainy day (at 0:00) there is 165L in the tank, and after a heavy day’s rain (at 24:00) there is 201 L in the tank. Assuming that the rain fell consistently duri
- The boat
A boatman goes 2 km against the stream in 40 minutes and returns to the same spot in 30 minutes. What is his rate of rowing in still water?
- A plane 3
A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it has to increase the speed by 250 km/hr from the usual speed. Find its usual speed.
- Repeating to infinity
How do I express 0.99999999… as a fraction? (nine repeating) Another questions: Can you write .9999 repeating as a fraction? How do you turn 0.9 repeating into a fraction?
- A long train
A train passes a standing man in 6 sec and 210 m long platform in 16 s . Find the length and the speed of the train.
- Two circles 3
Two circles are inscribed in a square whose side is 4 cm. Find the radius of the smaller circle.
- Palidrom
A number consists of two digits whose product is 24. When 18 is subtracted from the number, the digits change their places. Find the number.
- Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn.
- A town 3
A town with 12,000 people has been growing at a rate of 2.5% per year. How many years ago was the population 8,000?
- Move the average
If the average of 5 numbers is 20, the number which should be added to first number to make the average becomes 30?
- Split 207
Split number 207 into three parts such that these are in the arithmetic progression (AP) and the product of two smaller parts is 4623.
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