Examples for secondary school students - page 208 of 231
Number of problems found: 4612
- Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°. - Two cars
Car A1 goes at an average speed of 127 km/h, and the second car, A2, goes at 122 km/h. How many seconds will it take car A1 to circulate car A2? Assume that both cars are 4.7 meters long and the safety gap between cars is 2.6 meters. - Inscribed rectangle
The circle area is 231. Determine the area of the inscribed rectangle with one side 13 long. - Sum-log
The sum of two numbers is 19, and the sum of their logarithms (base 10) is 1.6. Determine these numbers. - ISO trapezium
Calculate the area of an isosceles trapezoid with base 50 long, leg 12 long, and with the angle between the base and leg 70 degrees. - Combi-triangle
Each square side is marked 13 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square? - V - slope
The slope of the line whose equation is -6x +7 = 0 is - Fish tank
A fish tank at a pet store has 27 zebrafish. In how many different ways can George choose 2 zebra fish to buy? - Speedometer
The speedometer of a car reads 52 km/h. It's accurate to within 4.9% What is the maximum possible error? - Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (-1, 24) and v = (-8, -21) - Line segment
For the line segment whose endpoints are L[-15, -3] and M[-10, 13], find the x and y values for the point located 1 over 3, the distance from L to M. - Diameter
If the endpoints of the diameter of a circle are A(10, -10) and B (9, -2), what is the circle's radius? - Scouts
The boys from the scout group traveled a distance of 140 km over d days. Every day, they walked less than the previous day. How many kilometers did the scouts walk on the first day? - Chord - TS v2
The radius of circle k measures 72 cm. Chord GH = 11 cm. What is TS? - Chord - TS The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS?
- Green - Red
We have 4 bags. Each consists of one green and 2 red balls. From each, we pull just one ball. What is the probability that we don't pull any green ball? - Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle. - Dog
The man went with a dog on a long walk 15 km from the house. The man is walking at a speed of 4 km/h. A dog constantly runs between the house and the man at 15.2 km/h. How many kilometers will the dog run when they reach its destination? - EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=67 cm. - Gasholder
The gasholder has a spherical shape with a diameter of 26 m. How many cubic meters (m³) can hold in?
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