Direct relationship + expression of a variable from the formula - practice problems - last page
Number of problems found: 78
- Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - The land
The land in the shape of a square has 9 ha. How big a side will the land have at a scale of 1:5000? - Underwater 4189
The water pillar is partly embedded in the ground, partly underwater, and protrudes 55 cm above the water. The length of the part above the water to the length of the part in the water is in the ratio of 1:2. The length of the part above the water to the - Workers 4168
Ten workers manage to repair the road in 22 days. After four days, two more workers joined to speed up the work. How many days does it take to repair the road?
- Bicycle gears
The toothed wheel on the bicycle pedal has 40 teeth, and the wheel on the rear wheel has only 16 teeth. How many times does the rear wheel turn if the pedals rotate 50 times? - Three children
Three children eat eight chocolates in 6 days. How many chocolates do six children eat in 18 days? - Unknown number 5
Daniel thinks of an integer. When he change this number at a ratio of 2:5, he got the number 2.8. Determine what number Daniel thinks. - Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism. - Determine 3784
The teacher brought to class two wooden models of cones, which were made of the same type of wood. The first model weighed 800g. The other had twice the base radius but half the height. Determine the mass of the second cone in grams.
- Sides ratio
Calculate the circumference of a triangle with area 84 cm² if a:b:c = 10:17:21 - Painting rooms
If Daniel paints for three hours daily, he completes it in 7.5 days. How many hours a day would he have to work to finish the job 1.5 days earlier? - Crowns 3352
A box with six pieces of soap costs x crowns. How much will five pieces of soap cost? - Horizontal 3166
The road leading from place A to B has a gradient of 9%. Determine the horizontal distance of these two places, assuming that the difference in their altitudes is 27.9 m. - Brigade
On a weekly forest, the summer job operates 12 students. After planting one hundred spruces, get x CZK. After one hundred pines y CZK. How many CZK got one student for one day if planted spruces are 25000 and 30000 pines per week?
- Trapezoid
Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio of 6:4:3. How long are a,c and h? Make calculation. - Disease
Farmers'cooperative had a supply of feed for 50 cows for six days. Cows got insidious disease after four days. Ten of them died. How many total days that farmers had feed cows? - ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 377 mm. - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid.
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