Examples for secondary school students - page 100 of 229
Number of problems found: 4578
- 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? - Two-fifths 16103
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? - Seconds 15853
The body landed on Earth in 9 seconds. Find from what height it fell and what its speed was on impact. - Warehouse 15843
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
- Vegetable meal
The cook was making a meal - in the ratio of 4:3:1, mixing tomatoes: pepper: onion. Onions were 5 kg less than peppers. How many kgs of tomatoes did he need to prepare the meal? - Angle of cone
The cone has a base diameter of 1.5 m. The angle at the central apex of the axial section is 86°. Calculate the volume of the cone. - Top of the tower
The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m. The pyramid height is 1.6 m. How many square meters of sheet metal are needed to cover the top of the tower if 15% extra sheet metal is needed for join - The pyramid 4s
The pyramid with a rectangular base measuring 6 dm and 8 dm has a side edge of a length of 13 dm. Calculate the surface area and volume of this pyramid. - Four-sided 15613 The turret has the shape of a regular four-sided pyramid with a base edge 0.8 m long. The height of the turret is 1.2 m. How many square meters are needed to cover it, counting the extra 10% sheet metal waste?
- Suppose
Suppose you know that the length of a line segment is 15, x2=6, y2=14, and x1= -3. Find the possible value of y1. Is there more than one possible answer? Why or why not? - A cell tower
A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal? - Water current
John swims upstream. After a while, he passes the bottle, and from that moment, he floats for 20 minutes in the same direction. He then turns around and swims back, and from the first meeting with the bottle, he sails 2 kilometers before he reaches the bo
- Storm and roof
The roof of the building is a cone with a height of 3 meters and a radius equal to half the height of the roof. How many m² of the roof need to be repaired if 20% were damaged in a storm? - The bus stop
The bus stop waiting room has the shape of a regular quadrilateral pyramid 4 m high with a 5 m base edge. Calculate how much m² roofing is required to cover the sheathing of three walls, taking 40% of the additional coverage. - Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the base's diagonal is 50 cm. Calculate the pyramid shell area. - Triangular pyramid
A regular tetrahedron is a triangular pyramid whose base and walls are identical equilateral triangles. Calculate the height of this body if the edge length is a = 8 cm. - Guppies for sale
Paul had a bowl of guppies for sale. Four customers were milling around the store. 1. Rod told Paul - I'll take half the guppies in the bowl, plus had a guppy. 2. Heather said - I'll take half of what you have plus half a guppy. Nancy, the third customer,
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