# Examples for secondary school students

#### Number of problems found: 2186

• Two equations
Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5
• Combinations
How many elements can form six times more combinations fourth class than combination of the second class?
• Q of GP
Calculate quotient of geometric progression if a1=5 a a1+a2=12.
• Probabilities
If probabilities of A, B and A ∩ B are P (A) = 0.62 P (B) = 0.78 and P (A ∩ B) = 0.26 calculate the following probability (of union. intersect and opposite and its combinations):
In what quadrant is a -1165° angle?
• 2nd class combinations
From how many elements you can create 4560 combinations of the second class?
• Metals
In the Hockey World Cup play eight teams, determine how many ways can they win gold, silver and bronze medals.
• Decelleration
In a braking test, a vehicle that travels at 51 km/h stops in 5 s. What is the acceleration?
• Borrowing
I borrow 25,000 to 6.9% p.a.. I pay 500 per month. How much will I pay and for how long?
• AP 6
Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38
• Chess
How many different ways can initiate a game of chess (first pass)?
• AVG of INT
What is the average of the integers from 9 throuht 52 inclusive?
• Insert 6
Insert four harmonic means between 3/7 and 3/19
• Cancel fractions
Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)!
• Exponential equation
Solve for x: (4^x):0,5=2/64.
• Linsys2
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
• The dice
What is the probability of events that if we throw a dice is rolled less than 6?
• Product
The product of two consecutive odd numbers is 8463. What are this numbers?
• Election 4
In a certain election there are 3 candidates for president 5 for secretory and 2 for tresurer. Find how many ways the election may (turn out/held).
• Tokens
In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.

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