Examples for secondary school students - page 173 of 230
Number of problems found: 4586
- Determine 3586
Determine the size of the vectors u = (2,4) and v = (-3,3) - Determined 3570
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points? - Parallelogram 3567
One side of the parallelogram is 5 cm. Can it have 3 cm and 6 cm diagonals? - Permutations
How many 4-digit numbers can be composed of numbers 1,2,3,4,5,6,7 if: a, the digits must not be repeated in the number b, the number should be divisible by five, and the numbers must not be repeated c, digits can be repeated - Competition
Fifteen boys and ten girls are in the class. In the school competition, a six-member team composed of four boys and two girls is selected. How many ways can we choose students? - Turnover 3546
They had the same sales plan in Mr. Nový's two stores. In the first store, they exceeded the plan by 23% and in the second by 25%. They had a total turnover of € 66,000. What revenue did each store have? - Normal Distribution
GPAs are normally distributed at one college with a mean of 3.1 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.7 and 3.5? - Two trains
Two trains are running the same distance. 1st train will travel in 7 hours 21 minutes. 2nd, the train will travel 5 hours, 57 minutes, and 34 seconds, and it is 14 km/h faster than the first train. What are the speeds of trains, and how long is this railw - Fourland - characters
In Fourland, they only have four letters F, O, U, and R, and every word has exactly four letters. No letter may be repeated in any word. Write all the words that can be written with them. - Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c - Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2. - Tournament 3524
Four hockey teams scored 337 goals in the tournament. The second team scored 16 goals less than the first, the third 17 less than the second, and the fourth 30 goals less than the second. How many goals did each team score? - Interested 3512
One-third of the 8A class student wants to go to high school after finishing primary school, and half of the students are interested in the field of study. The remaining four have not yet been decided. How many students are there in 8A? - Acceleration 3503
What speed was the car moving until the driver started braking when it moved with a constant acceleration a = -1.2m/s² during braking until it stopped, traveling a distance of 135m? - Series and sequences
Find a fraction equivalent to the recurring decimal. 0.435643564356 - The projection
In axonometry, construct the projection of a perpendicular 4-sided pyramid with a square base ABCD in the plane. The base triangle gives the axonometry. We know the center of the base S, the point of the base A, and the height of the pyramid v. - Projection 3493
In axonometry, construct a projection of an oblique circular cone with a base in a plane. The stop triangle gives dimension. We know the center of the base S, the radius of the base ra the top of the cone V, Triangle (6,7,6), S (2,0,4), V (-2,7,6), r = 3 - Circle tangent
It is given to a circle with the center S and a radius of 3.5 cm. The distance from the center to line p is 6 cm. Construct a circle tangent n which is perpendicular to the line p. - Triangular prism
The perpendicular triangular prism is a right triangle with a 5 cm leg. The prism's largest wall area is 130 cm2, and the body height is 10 cm. Calculate the body volume. - Determined 3488
Find out if there is a triangle whose two sides are 5 cm and 8 cm long and the middle bar determined by their centers is 1.5 cm long.
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