Examples for secondary school students

Number of problems found: 2059

Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
Coordinate
Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5^x
Fish tank
A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
Sequence 2
Write the first 5 members of an arithmetic sequence a₁₁=-14, d=-1
Minimum of sum
Find a positive number that the sum of the number and its inverted value was minimal.
Vectors
For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10)
Find d 2
Find d in an A. P. whose 5th term is 18 and 39th term is 120.
Fruits
In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?
How many 2
How many three lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed
Segments
Which of the pairs of numbers on the number line encloses the longest segment: ?
Insert 4
Insert 3 arithmetic means between 3 and 63.
Quadratic equation
Find the roots of the quadratic equation: 3x²-4x + (-4) = 0.
Five-gon
Calculate the side a, the circumference and the area of the regular 5-angle if Rop = 6cm.
Bouquets
In the flower shop they sell roses, tulips and daffodils. How many different bouquets of 5 flowers can we made?
Mixed with percentages
Calculate 33 1/3% of 570.
Sinus
Determine the smallest integer p for which the equation 4 sin x = p has no solution.
Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ?
Arc
Convert to arc measures (radians): 924 ° Result write as a multiple of π
Compound interest
Calculate time when deposit in the bank with interest 2.5% p.a. doubles.
Football league
In the 5th football league is 10 teams. How many ways can be filled first, second and third place?

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