Examples for secondary school students - page 217 of 237
Number of problems found: 4730
- Rectangle - sides
A rectangle has an area of 340 cm². The shorter side is 3 cm less than the longer side. What is the perimeter of the rectangle? - Seating rules
In a class, there are 28 seats, but in the 5.D class, there are only 24 students. How many ways can students sit? (The class has 14 benches. A bench is for a pair of students.) Result write down as powers of 10 - (logarithm - large number). - Elevation
What must be an observer's elevation so that he may see an object on the Earth 866 km away? Assume the Earth to be a smooth sphere with a radius 6378.1 km. - Horizon
The top of a lighthouse is 18 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.] - Square side
Calculate the length of the side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0. - Statistics
The sum of all deviations from the arithmetic mean of the numerical sequence 4, 6, 51, 77, 90, 93, 95, 109, 113, 117 is: - Map - climb
On the map of the High Tatras, on a scale of 1:11000, are cable car stations in the Tatranska Lomnica and the Skalnate Pleso with a distance of 354.6 mm. The altitude of these stations is 949 m and 1760 m. What is the average angle of climb on this cable - Swimming pool
The pool shape of a cuboid is 237 m³, full of water. Determine the dimensions of its bottom if the water depth is 199 cm, and one bottom dimension is 4.8 m greater than the second. - Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 10:8:7. Determine the size of the angles of the triangle ΔABC. - University bubble
You'll notice that the college is up slowly every other high school. Many people in Slovakia/Czech Republic study political science, mass media communication etc.. Calculate how many times more does a clever 24-year-old mason with a daily net income of 16 - Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Circles
How many different circles are determined by 14 points at the plane if 3 of them lie in a straight line? - Balls
Three metal balls with volumes V1=12 cm3, V2=112 cm3, and V3=59 cm³ were melted into one ball. Determine its surface area. - Euklid4
The legs of a right triangle have dimensions 241 m and 34 m. Calculate the length of the hypotenuse and the height of this right triangle. - Population
The town has 55,000 inhabitants. 25 years ago, there were 85,000. If the population's average rate is the same as in previous years, how many people will live in a city in 10 years? - Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents. - Honored students
At the end of the school year, 22% of the 450 children received honors. Honors were awarded to 20% of the boys and 25% of the girls. How many boys and girls attend this school? - Log
Calculate the value of expression log |-10 -2i +7i²| . - Unit vector 2D
Find coordinates of unit vector to vector AB if A[3; 6], B[15; -8]. - Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle.
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