Examples for secondary school students - page 191 of 237
Number of problems found: 4730
- Wire weight
The customer wants to buy 300 meters of wire with d = 4 mm. An experienced salesman knows that 100 meters of wire are about 10 kilograms, so he weighs 30 kilograms of wire. Find out how many meters of wire are in a bundle of wire weighing 30 kilograms (or - Men, women and children
On the trip, men, women, and children went by bus at a ratio of 2:3:5. Children paid 60 crowns, and adults paid 150. How many women were on the bus when a bus had a revenue of 4,200 crowns? - Float boya
A spherical float with a diameter of 0.5 m marks the location of a fishing boat's anchor. It floats in salt water. Find the depth to which the float sinks if the material it is made of has a density of 8 kg/m³ and salt water has a density of 1,027 kg/m³. - Bank interest
The entrepreneur invested euros in the bank at the beginning of 2000 for a period of 9 months with an annual interest rate of 12%. How many euros will the bank credit him with the deposit after nine months? - Right prism
The base of the right prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism. - Two balls
Two balls, one 8 cm in radius and the other 6 cm in radius, are placed in a cylindrical plastic container 10 cm in radius. Find the volume of water necessary to cover them. - AP - simple
Find the first nine elements of the sequence if a10 = -1 and d = 4 - Stadium
A domed stadium is shaped like a spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the dome's height at its center to the nearest tenth of a meter. - Quatrefoil
Calculate the quatrefoil area, inscribed in a square with a side of 6 cm. - Area and two angles
Calculate the size of all sides and internal angles of a triangle ABC if it is given by area S = 501.9; and two interior angles α = 15°28' and β = 45°. - Rectangle dimensions
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle. - Triangle sides to angles
The triangle ABC has side lengths a = 14 cm, b = 20 cm, c = 7.5 cm. Find the sizes of the angles and the area of this triangle. - Banknote count
Martin bought goods in the store for 260 CZK. He paid with a thousand CZK crowns. The saleswoman returned 18 banknotes and coins worth CZK 10 and CZK 50. How many of each value were there? - Disinfecting solution
How much distilled water is necessary to pour into 500 ml of 33% hydrogen peroxide to obtain a 3% disinfecting solution? - The ditch
Ditch with a cross-section of an isosceles trapezoid with bases 2 m and 6 m deep 1.5 m. How long is the slope of the ditch? - Forth and back
The car drives from point A to point B at 78 km/h speed and back at 82 km/h. If I went there and back at a speed of 81 km/h, the journey would take five minutes less. What is the distance between points A and B? - Spindle distribution
The worker operates 600 spindles on which the yarn is wound. The probability of tearing the yarn on each spindle at time t is 0.005. a) Determine the probability distribution of the number of torn spindles at time t and the mean and variance. b) What is t - Arc-sector
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ? - Substitute a number
I think the number is when you substitute it in the expression (x-2). (2x - 1), you get zero. What number can it be? - Two pipes
One pipe fills one-fifth of the volume 20 minutes before my second one. The two pipes together will fill the tank in two hours. How long will each pipe fill the tank separately?
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