Expression of a variable from the formula - practice for 14 year olds - page 32 of 55
Number of problems found: 1088
- Three pumps
We are filling the pool. The pool would fill the first pump in 12 hours and the second in 15 hours. If all three pumps ran simultaneously, they would fill the pool for 4 hours. How long would the pool fill only with the third pump? - Isosceles trapezium
Calculate the area of an isosceles trapezium ABCD if a = 10cm, b = 5cm, c = 4cm. - Christmas 7392
The parents won 12,000 euros. They decided to spend 34% of their winnings on Christmas presents and put the rest in the bank. How many euros did they deposit in the bank? What was the annual interest rate at the bank if they were credited with 118.8 euros - Differing 7391
The product of two numbers differing by four does not change when we decrease the larger number by two and increase the smaller number by one. What are the numbers? - Cylinder height
Calculate the height of the cylinder and its surface is 2500 dm2, and the bases have a diameter of 5dm. - Hexagon in circle
Calculate the radius of a circle whose length is 10 cm greater than the circumference of a regular hexagon inscribed in this circle. - Employed 7292
Mr. Janda's factory employs three times as many men as women. There are 190 fewer women employed in this factory than men. How many men and women are employed in this factory? - Rectangular trapezoid
The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62cm. Calculate the trapezium area in cm square and calculate how many different perimeters - Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally. - Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm². - Motorcyclist 7274
At noon, a cyclist left Šumperk for Olomouc at a speed of 20 km/h. Thirty minutes later, a motorcyclist drove up behind him at 60 km/h. At what distance and at what time did the motorcyclist overtake the cyclist? - Simultaneously 7272
The distance from Žilina to Košice is 260 km. From both places, 2 cars started opposite each other simultaneously. A car from Žilina travels at a speed of 58 km/h. The speed of a car from Košice is 72 km/h. In how many hours will these two cars meet? - A report
Maricris can type a committee report in 5 hours. Jane helped Maricris, and together they finished the report in 3 hours. How long would it take Jane to complete the report she had worked on alone? - Calculate 7246
The dice have a volume of 80 cm³. Calculate the edge size in mm. - The garden
The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, and the trapezoid's height is 12 meters. Calculate how much a fence will cost this garden if one meter costs 1.5 €. - Multiplied 7208
Which fraction number must be multiplied by 40 to get a 6% smaller number? - Donated 7192
Mom donated 120 € to Jožek per bike, which was 60% of the bike's price. How much did the bike cost? - Minutes 7177
The tank holds 140 liters of water. The tank is filled with a tap in 5 minutes, and the drain is emptied in 7 minutes. How long will it take for the empty tank to fill if we open the faucet and drain? - Determine 7155
For the indirect ratio, g (20) = 3, determine g (6) - Wrench 7152
We used a force of 85 N to loosen the nut when using a 20 cm long wrench. How much force do we use to loosen the nut when using a 10 cm long wrench?
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