Examples for secondary school students - page 71 of 237
Number of problems found: 4730
- Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 50 cm. What are the measurements of its height and base? - Candle wax wick
A pyramidal candle with a square base has a side edge of s = 12 cm and a base edge of 4 cm. How much wax will we need to make it, and how long is the wick if it is 5% bigger than its height? - Two boys
Two boys weighing 60 kg and 90 kg move on roller skates and are attracted to each other by a rope. One boy exerts a force of 15 N. What force does the other boy exert? What accelerations will the boys gain? Do not consider friction or air resistance. - An engineer
An engineer and five technicians on an oil rig earn $14208 per month, while three engineers and nine technicians earn $28800 per month. Find how much an engineer earns and how much a technician earns per month. - Consider
Consider all square prisms with a height of 10 cm. If x is the measurement of the base edge in cm, and y is the prism's volume in cm³. Graph the function - Vehicle acceleration
I have specified that the vehicle has an acceleration of 2 m/s², and I need to find out how many meters it will travel if it reaches 64 km/h and also states how long it takes for the vehicle to travel every one meter. - Seating pupils
We will work with a class in which there are 30 pupils, 40% of them are boys, the number of benches is 18. Determine the number of possibilities in the following tasks. 1) Determine in how many ways it is possible to select for a competition a trio of pup - Created trio What is the probability that in the created trio, which consists of 19 boys and 12 girls, they will be: a) the boys themselves b) the girls themselves c) 2 boys and one girl?
- The bomber
An aircraft flying at an altitude of 1260 m. From what distance in front of the target must a parachute load be dropped from an airplane? The load slopes at a speed of 5.6 m/s and moves in the direction of movement at 12 m/s. What is the direct distance o - Tram acceleration time
The tram starts with a constant acceleration of 0.3 m/s2. How long will it take to cover the tenth meter of its track? - Car acceleration time
The car starts with constant acceleration, and at a distance of 567 m, it has a speed of 12.6 m/s. How long will it take from the start? - Body energy
A body weighing 2 kg falls from a height of 45 m in a free fall. What will be its potential energy and total mechanical energy after 2 s from the beginning of the movement? - Fruits
We want to plant five fruit trees in the garden, of which three are apple trees and two pears. How many different ways can we organize them? - Dice sum probability
What is the probability that the sum of 12 will fall on a roll of two dice? A. 1/6 B. 1/36 C. 1/18 D. 36 - Swing balance
The boy is sitting on a two-arm swing, and his seat is 300 cm away from the center of rotation. Its weight is 48 kg. The girl is sitting at the other end of the swing, and her mass is 36 kg. How far from the center of rotation must the girl sit for them t - Photos
Three friends, Miranda, Lucy, and Hannah, collect photos. If Miranda had three more photos, she would have as many as Hannah. If Lucy had five photos less than she has, she would be like Hannah. How many photographs does each have if they have 431 togethe - A rectangle 4
A rectangle has an area of 300 and a perimeter of 80. What is the ratio of length and width? - Martians
A sphere-shaped spaceship with a diameter of 6 m landed in the meadow. To avoid attracting attention, the Martians covered it with a roof in the shape of a regular cone. How high will this roof be so that the consumption of roofing is minimal? - The roof
The tower's roof has the shape of a regular quadrilateral pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste. - 1200 screws
1200 screws are to be divided into three groups so that in the 1st group, there are 300 screws more than in the 2nd group, and in the 2nd group, 150 screws less than in the 3rd group. How many screws will be in each group?
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