Functions + expression of a variable from the formula - practice problems - last page
Number of problems found: 679
- RT and ratio
A right triangle whose legs are in a ratio 6:12 has a hypotenuse 68 m long. How long are its legs? - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm. - Pumps
Pump drawing water at velocity 3.5 liters per second from a construction trench takes 35 minutes. a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second. b) What is the pumping velocity you would - 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.
- Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle. - One and a half chicken
One and a half chicken bears one and a half eggs in one and a half-day. How many eggs can withstand from 6 chicken in 6 days? - Sequence
Find the common ratio of the sequence -1, 3, -9, 27, -81. Please ratio writes as a decimal number rounded to a tenth. - Cone and the ratio
The rotational cone has a height of 43 cm, and the ratio of the base surface to the lateral surface is 5: 7. Calculate the surface of the base and the lateral surface. - Ethnicity
The share of ethnicity XY is 26%, which is 1/9 more than in the prewar period. What was the share of that ethnicity in the prewar period?
- Two cars
Two cars started against each other simultaneously to journey long 346 km. The first car went 53 km/h and the second 53 km/h. What distance will be between these cars 20 minutes before a meeting? - Sea water
Mixing 62 kg of seawater with 84 kg rainwater is created water containing 3.1% salt. How much percent of seawater contains salt? - 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. - Right Δ
A right triangle has the length of one leg 72 cm and the hypotenuse 90 cm size. Calculate the height of the triangle. - Tree trunk
Calculate the average tree trunk with a circumference of 192 cm.
- Median
The median of the triangle NOP is away from vertex P 95 cm. Calculate the length of the median, which start at P. - Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population? - Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible. - Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x).
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