Examples for secondary school students - page 117 of 231
Number of problems found: 4613
- Steering wheel torque
What force does the driver exert when turning on the steering wheel if the steering wheel diameter is 35 cm and the torque is 3.5 N. M? - A jackpot
How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i.e., home win or away win. - Uphill and downhill
The cyclist moves uphill at a constant speed of v1 = 10 km/h. When he reaches the top of the hill, he turns and passes the same track downhill at a speed of v2 = 40 km/h. What is the average speed of a cyclist? - Gravitation
From the top of the 80m high tower, the body is thrown horizontally with an initial speed of 15 m/s. At what time and at what distance from the foot of the tower does the body hit the horizontal surface of the Earth? (use g = 10 m/s²) - Pyramid-shaped roof
A block-shaped shed is covered with a quadrilateral pyramid-shaped roof with a base with sides of 6m and 3m and a height of 2.5m. How many m² (square meters) must be purchased if an extra 40% is calculated for roofing and waste? - Constructed triangle
The perimeter of the right triangle is 18 cm. The sum of the areas of the squares constructed above its three sides is 128 cm². What is the area of the triangle? - System equation solving
Solve a system of equations: 3x- (y + 2) / 2 = 9 (x + 2) / 5-2y = 5 - Height ratio calculation
The heights of Jirka and David are in the ratio of 5:3. Jirka is 60 cm taller than David. How much does Jirka measure? - Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravi - Holiday cottage pupils
During the holidays, 159 pupils were accommodated in three holiday cottages marked with the letters A, B, and C. There were 8 more pupils accommodated in cottage B than in cottage A and 14 more pupils in cottage C than in cottage B. How many pupils were a - Geese and piglets
There were geese and piglets in the yard. Jane calculated that they have a total of 20 heads and 64 legs. How many geese and how many piglets were in the yard? - Sticker purchase calculation
Martin bought two-euro and three-euro stickers for 65 euros. There were five times more than two euros. How many stickers of all kinds did Martin buy? - Potatoes
For three days, the store sold 1400 kg of potatoes. On the first day, they sold 100 kilograms of potatoes less than on the second day. On the third day, three-fifths of what they sold the first day. How many kgs of potatoes are sold every day? - Fabric purchase calculation
Krejčová bought a total of 13 m of double-colored fabric for 1,037 euros. One meter of blue fabric costs 89 euros, and one meter of gray fabric costs 74 euros. How many meters of blue and how many meters of gray fabric did the seamstress buy? - Rectangle division perimeter
Divide a rectangle with sides 60 mm and 84 mm long into three rectangles with the same circumference. - Nine books
Nine books are to be bought by a student. Art books cost $6.00 each, and biology books cost $6.50 each. If the total amount spent was $56.00, how many of each book were bought? - Trip distance calculation
In three days, the students went 65 km on a trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 10 km less than on the first day. How many kilometers did they cover each day? - Rocket start
The body launched vertically up returns to the start site in 6 seconds. What height did it have? - Distance with Obstacle Measurement
Determine the distance between two places, M, and N, between which there is an obstacle so that place N is not visible from place M. The angles MAN = 130°, NBM = 109°, and the distances |AM| = 54, |BM| = 60, while the points A, B, and M lie on one straigh - Raindrops
The train is moving at a speed of 60 km/h. Raindrops falling vertically in the absence of wind (with uniform movement due to the action of air resistance) leave traces on the windows of the train, deviating from the vertical direction by 30°. How fast are
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