Examples for secondary school students - page 214 of 237
Number of problems found: 4731
- 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
On each side of a square, 13 different points are marked (not at the vertices). How many triangles can be constructed from this set of points such that each vertex of the triangle lies on a different 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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