Examples for secondary school students - page 111 of 237
Number of problems found: 4730
- Acceleration of point
The mass point moves evenly along a circle with a radius of 1.2 m at an angular velocity of 25 rad/s. Determine the frequency, period, and centripetal acceleration! - Friends 5
Erik is friends with two girls, Markéta and Lenka, and two boys, Tomáš and Robo. When his mother wanted to know how old these children are, he told her a riddle: Tomáš is two years older than Robo. The sum of the boys' ages is the same as the sum of the g - Equation 23
Find the value of unknown x in the equation: x+3/x+1=5 (problem finding x) - The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area. - Folding table
A folding kitchen table is rectangular with an area of 168 dm² and one side 14 dm long. If necessary, it can be enlarged by attaching two semicircular plates along the sides b. By what percentage does the table area increase? Round the result to the neare - Geography tests
On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What percent do you need on the final to earn 93% of the total points on all tests? - Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides? - 3 phase load
Two wattmeters are connected to measure power in a 3 phase balanced load. Determine the total power and power factor if the two wattmeters read 1000 watts each (1) both positive and (2) the second reading is negative. - Discount - price
Home cinema is discounted from the original price of 710 euros, first by 74 euros by another 32%. For how many euros was it possible to buy a home cinema after a double discount - Faces diagonals
Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces). Solve for x=1.6, y=1.8, z=1.6 - Voltmeter range
We have a voltmeter that, in its original setting, measures up to 10 V. Calculate the resistance of the series resistor (multiplier) needed to extend the range to 50 V. The voltmeter's internal resistance is 2 kΩ/V. - Car down
Sarah buys a car costing $12,500. It depreciates value by 8% in the first year, 10% in the second year, and 5% in the third year. Calculate the value of a car after the third year. - Wall and body diagonals
Calculate the lengths of the wall and space diagonals of the cuboid with edge dimensions of 0.5 m, 1 m, and 2 m - Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area). - Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000 m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the larg - Angles of elevation
From points A and B on level ground, the angles of elevation of the top of a building are 25° and 37°, respectively. If |AB| = 57 m, calculate, to the nearest meter, the distances of the top of the building from A and B if they are both on the same side o - Grade girl calculation
Of the 660 pupils at the school, 60% are girls. 25% of girls go to grade 7. How many school girls go to 7th grade - Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube. - Three-day trip
On a three-day trip, cyclists traveled 30% of the total route on the first day, 3/5 of the rest on the second day, and 35 km on the third day. Thus, cyclists traveled 30% of the total route on the first day, 3/5 of the rest on the second day, and 35 km on - Glasses
There are 36 pupils in the class. Nine girls wear glasses. Boys with glasses are five less than girls without glasses. Boys without glasses are two times more than girls without glasses. How many boys and how many girls?
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