# 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.
• Resistance
Determine the resistance of the bulb with the current 200 mA and is in a regular lamp (230V).
• Invitations
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)?
• Circus
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.

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