Examples for secondary school students - page 93 of 214
Number of problems found: 4261
- Brothers and sister
I have four brothers. My mother was 22 years old when the oldest, Matthew, was born. Vlado is a year younger than him. There is a 3-year difference between Vlad and Ivan. Three years before Ivan was born, Hugo and he is two years older than me. I am now 1 - The Eiffel Tower
The top of the Eiffel Tower is seen from a distance of 600 meters at an angle of 30 degrees. Find the tower height. - The tractor
The tractor sows an average of 1.5 ha per hour. In how many hours does it sow a rectangular trapezoid field with bases of 635m and 554m and a long arm of 207m? - Vice-chairman 10181
The committee consists of 6 men and four women. How many ways can the chairman, vice-chairman, secretary, and manager be chosen so that a chairman is a man and the vice-chairman is a woman?
- Casey
Casey bought a 15.4-pound turkey and an 11.6-pound ham for thanksgiving and paid $38.51. Her friend Jane bought a 10.2-pound turkey and a 7.3-pound ham from the same store and paid $24.84. Find the cost per pound of turkey and the cost per pound of ham. - Age problems
A) Alex is three times as old as he was two years ago. How old is he now? b) Casey was twice as old as his sister three years ago. Now he is five years older than his sister. How old is Casey? c) Jessica is four years younger than Jennifer now. In 10 year - Depth angles
At the top of the mountain stands a castle with a tower 30 meters high. We see the crossroad at a depth angle of 32°50' and the heel at 30°10' from the top of the tower. How high is the top of the mountain above the crossroad? - Right circular cone
The volume of a right circular cone is 5 liters. The cone is divided by a plane parallel to the base, one-third down from the vertex to the base. Calculate the volume of these two parts of the cone. - Right pyramid
A right pyramid on a base 4 cm square has a slanted edge of 6 cm. Calculate the volume of the pyramid.
- Isosceles 9881
The area of an isosceles right triangle is 32 cm square. What is his circuit? - Much-expected 9871
The train travels at an average speed of 75 km/h. According to the timetable, he should be at the station in 11 minutes, but he still has 20 km to go. How much-expected delay will appear on the station information board? - Camel and water
84% of the camel's weight is water. After drinking, its weight increased to 832 kg, and water accounted for 85% of its weight. How much did it weigh before drinking? - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - Interest 9791
From € 800 for six months at an interest rate of 7.5% per annum; and - simple interest b - compound interest
- Probability 9771
What is the probability that ten molecules will arrange within the brown motion to be one molecule in the lower half and nine molecules in the upper half in one vessel? - The triangle
Three vertices give the triangle: A [0.0] B [-4.2] C [-6.0] Calculate V (intersection of heights), T (center of gravity), O - the center of a circle circumscribed - Triangle's 9731
Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm². - Calculate 9701
In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, and the angle BCA = 35°. Calculate sides a b. - Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the dimensions of rectangles A and B.
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