Examples for secondary school students - page 107 of 229
Number of problems found: 4578
- Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, 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 large - 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| = 57m, 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 of - Pupils 10781
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? - Participating 10481
In a particular village, two candidates ran for mayor. Candidate A was voted for by 70% of all voters, of whom 60% were women. Candidate B was voted for by all other voters and 20% of women from all participating voters. How many men voted for candidate B
- Distance between 2 points
Find the distance between the points (7, -9), (-1, -9) - The sum
The sum of the first ten members of the arithmetic sequence is 120. What will be the sum if the difference is reduced by 2? - Elimination: 10441
Solve the linear system of equations by Gaussian elimination: 3x1 −2x2 −5x3 + x4 = 3 2x1 −3x2 + x3 + 5x4 = −3 x1 + 2x2 −4x4 = −3 x1 - x2 −4x3 + 9x4 = 22 - Divide 8
Divide 6840 by x, y, and z in such a way that x has twice as much as y, who has half as much as z - Red and white
Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three always red. How much could Simon tear off white tulips? Write all the options. - Reciprocal value
How do I calculate a number x that is nine greater than its reciprocal (1/x)? - Two groups
The group of 10 girls should be divided into two groups with at least four girls in each group. How many ways can this be done? - Instructions 10282
Find out if two people in Bratislava have the same number of hairs on their heads. Instructions. Bratislava has about 420,000 inhabitants, and a person has less than 300,000 hairs on his head.
- Brothers and sister
I have four brothers. My mother was 22 years old when the oldest, Matthew, was born. Vlado is a year younger than him. There is a 3-year difference between Vlad and Ivan. Three years before Ivan was born, Hugo and he is two years older than me. I am now 1 - The Eiffel Tower
The top of the Eiffel Tower is seen from 600 meters at a 30 degree angle. Find the tower's height. - The tractor
The tractor sows an average of 1.5 ha per hour. How many hours does it sow a rectangular trapezoid field with 635m and 554m bases and a long arm of 207m? - Vice-chairman 10181
The committee consists of 6 men and four women. How many ways can the chairman, vice-chairman, secretary, and manager be chosen so that a chairman is a man and the vice-chairman is a woman? - Casey
Casey bought a 15.4-pound turkey and an 11.6-pound ham for Thanksgiving and paid $38.51. Her friend Jane bought a 10.2-pound turkey and a 7.3-pound ham from the same store and paid $24.84. Find the cost per pound of turkey and the cost per pound of ham.
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