Examples for secondary school students - page 122 of 230
Number of problems found: 4582
- Together 7735
The two typists wrote a total of 65 pages; although the former wrote an hour longer than the latter, she wrote 5 pp. Less; the second write 2 more pages per hour than the first. How many pages will they both write together? - Two cyclists 2
At the same time, two cyclists left towns A and B at constant speeds. The first one goes from town A to town B, and the second one from town B to town A. At one point during the trip, they met. After they met, the first cyclist arrived at town B in 36min, - Minutes 7700
At what angle does the road rise if the climb is 8%? They rounded up for tens of minutes. - Distributed 7694
The children have 568 cards distributed as follows: Jano and Mišo in the ratio of 3:7 and Mišo and Laco in the ratio of 3:5. How many cards does Mišo have? - Legs
Cancer has five pairs of legs, and the insect has six legs. Sixty animals have a total of 500 legs. How much more are cancers than insects? - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Circumference 7686
The circumference of the isosceles trapezoid is 34 cm. The difference in the length of the bases is 6 cm. The arm's length is one-third of the length of the longer base. Find the lengths of the trapezoidal sides.
- Increased 7685
There are 2 more pupils in the 7th grade than in the 8th grade. If the number of pupils in the 7th grade increased by 7 and the number of pupils in the 8th grade increased by a third of the original number, there would be the same number of pupils in both - Journey 5
A man has to make a journey of 84km in 3 hours. He travels the first 30km at 20km/hr. At what rate must he travel the remaining distance to complete his journey on time? - Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles? - Probability 7672
There are eight white balls and several blue balls in the pocket. The probability of pulling out the white ball is 2/3. How many blue balls are in your bag? - Benefited 7670
There are 30 boys in the class, and 28 of them passed. The girls all benefited. A total of 95% of the students passed the course. How many girls are in the class of girls? - Together 7667
In three days, 3960 viewers saw the film. How many viewers watched the movie each day if we know: the second day saw 20% more viewers than the first day and the third 20% less than the first and second together. - Prepare 7666
We want to prepare 200g of 64% alcohol. We have enough 80% alcohol to dilute with water. How much 80% of alcohol and water will we need? - N points on the side
An equilateral triangle A, B, and C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides.
- Isosceles 7661
The area of the isosceles triangle is 8 cm2, and its arm's length is 4 cm. Calculate the sizes of its interior angles. - Second-longest 7659
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height? - Diesel fuel
In the morning, we refueled and set off. After the first stop, we passed 20% of diesel and 10% of the balance after the second. At the third stop, we had only 9 liters of diesel and had to refuel. How big a tank do we have? - Circumference 7655 The triangle has a circumference of 35 cm. One side is four times longer than the other and, at the same time, 1 cm longer than the third. Determine the sides of the triangle.
- Quadruple 7654
Triple and quadruple rooms are available in the cottage for 30 children. Rooms are occupied so that all beds are always occupied. Determine how many rooms the children will occupy in total if there are four times as many children in the four-bedroom rooms
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