Examples for secondary school students - page 101 of 232
Number of problems found: 4622
- Combination element calculation
How many elements is it possible to form twice as many second-class combinations as a fourth-class combination? - Raindrops
The train runs at a speed of 14 m/s, and raindrops draw lines on the windows, forming an angle of 60 degrees with the horizontal. What speed do drops fall? - Delegation - b&g
There are 22 girls and nine boys in the class. How many ways can a delegation be created with three girls and one boy? - Barrel capacity calculation
The barrel is filled with water to 65% of its capacity. After adding three 10-liter buckets of water, the filling capacity of the barrel is already 77%. How many liters of water will fit in the barrel? - Student testing ways
There are 30 students in the class, three of whom will be tested. How many ways are possible if their order does not matter? - Point line determination
How many lines are determined by 5 points if three lie in one line? - Triangle circle calculation
The following elements are known in the right triangle ABC: a = 10 cm, height to side c h = 9.23 cm. Calculate o, R (radius of the inscribed circle), r (radius of the inscribed circle). - Combination element count
From how many elements is it possible to create 120 second-class combinations? - Quadrilateral prism
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°. - Triangular prism,
The regular triangular prism, whose edges are identical, has a surface of 2514 cm² (square). Find the volume of this body in cm³ (l). - Three faces of a cuboid
The diagonals of the three walls of a cuboid are 13, √281, and 20 units long, respectively. Thus, the cuboid's total surface area is. - Free space in the garden
The grandfather's free space in the garden was in the shape of a rectangular triangle of 5 meters and 12 meters in length. He decided to divide it into two parts and the height of the hypotenuse. The smaller part creates a rock garden, for the larger sows - Mortage hypo loan
The Jonáš family decided to buy an older apartment, which cost EUR 30,000. They found EUR 17,000 and took a bank loan for the remaining amount. What interest did they receive if they repaid this amount for 15 years at EUR 120 per month? - The presentation
The travelers' presentation came with three times as many men as women. When eight men left with their partners, there were five times more men than women at the presentation. How many were men and women originally? - Orchard tree calculation
The orchard contained 50% cherries, two-fifths apple trees, and five pear trees. How many trees were there? - Hiking trail
The newly built hiking trail leads 25% through the field, 3/8 of the trail leads through the forest, and the remaining 9 km along the river. How long is the train? - Body fall calculation
The body landed on Earth in 9 seconds. Find from what height it fell and what its speed was on impact. - Coal warehouse sales
They sold coal in a coal warehouse for three days. On the first day, they sold a quarter of the coal, 2/3 of the rest on the second day, and the remaining 300 tons of coal on the third day. How many tons of coal did they sell the next day? - Median or middle
The number of hours of television watched per day by a sample of 28 people is given below: 4, 1, 5, 5, 2, 5, 4, 4, 2, 3, 6, 8, 3, 5, 2, 0, 3, 5, 9, 4, 5, 2, 1, 3, 4, 7, 2, 9 What is the median value? - The spacecraft
The spacecraft spotted a radar device at an altitude angle alpha = 34 degrees 37 minutes and had a distance of u = 615km from Earth's observation point. Calculate the distance d of the spacecraft from Earth at the moment of observation. Earth is considere
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