Examples for secondary school students
Number of problems found: 2059
- Height difference
What height difference overcome if we pass road 1 km long with a pitch21 per mille?
- Class pairs
In a class of 34 students, including 14 boys and 20 girls. How many couples (heterosexual, boy-girl) we can create? By what formula?
- JUDr. Usury
Judge JUDr. Usury approved the agreement on guilt and punishment where confessed to pay daily interest 0.18%. How big is a yearly interest? Year has 360 days.
- De Moivre's formula
There are two distinct complex numbers z such that z3 is equal to 1 and z is not equal 1. Calculate the sum of these two numbers.
- Coffe cups
We have 4 cups with 4 different patterns. How many possible combinations can we create from 4 cups?
- Triangle IRT
In isosceles right triangle ABC with right angle at vertex C is coordinates: A (-1, 2); C (-5, -2) Calculate the length of segment AB.
- Inscribed rectangle
The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.
Determine the resistance of the bulb with the current 200 mA and is in a regular lamp (230V).
For every 5 minutes writes Dana 10 invitations, while Anna 14 invitations. How long will write together 120 invitations?
- Heron backlaw
Calculate missing side in a triangle with sides 17 and 34 and area 275.
- Cinema 4
In cinema are 1656 seats and in the last row are 105 seats , in each next row 3 seats less. How many are the total rows in cinema?
- Permille of alcohol
I have 2 per mille of alcohol in my blood. How many milliliters is it when I have 5 liters of blood?
- Company and employees
There are 370 employees in the company - women are 15% less than men. How many men work in the company?
- Sum of GP members
Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)?
On the circus performance was 150 people. Men were 10 less than women and children 50 more than adults. How many children were in the circus?
- Functions f,g
Find g(1) if g(x) = 3x - x2 Find f(5) if f(x) = x + 1/2
- RT and circles
Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23.
- Two groups
The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?
- Chord - TS
The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS?
- Fifth member
Determine the fifth member of the arithmetic progression, if the sum of the second and fifth members equal to 73, and difference d = 7.