Examples for secondary school students - page 26 of 212
Number of problems found: 4231
- First man
What is the likelihood of a random event where are five men and seven women will first leave the man? - EQ2
Solve a quadratic equation: 2x²- 2(x-7)²+5x=0 - Algebrogram
Solve cryptarithmetic (alphametics) for a sum of three numbers: BEK KEMR SOMR ________ HERCI - Parametric equations
Write the parametric equations of height hc in triangle ABC: A = [5; 6], B = [- 2; 4], C = [6; -1] - Olympics metals
How many ways can one win six athletes' medal positions in the Olympics? Metal color matters. - Imaginary numbers
Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is their sum? - Variations 3rd class
From how many elements can we create 13,800 variations of the 3rd class without repeating? - Difference AP
Calculate the difference of arithmetic progression if the sum of its first 19 members Sn = 8075 and the first member is a1 = 20 - Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm. - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - Medians and sides
Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6). - Decimal to fraction
Write the decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures. - Divisors
The sum of all divisors unknown odd number is 2112. Determine the sum of all divisors of a number that is twice unknown numbers. - Task of the year
Find the number of integers from 1 to 106 with ending four digits 2015. - Rhombus
The rhombus with area 137 has one diagonal that is longer by 5 than the second one. Calculate the length of the diagonals and rhombus sides. - Words
How many 2 letters "words" are possible using 14 letters of the alphabet? a) without repetition b) with repetition - Series
Your task is to express the sum of the following arithmetic series for n = 14: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11 - 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 the union. intersect and opposite and its combinations): - Vans
In how many ways can 5 shuttle vans line up at the airport? - Slope
What is the slope of the line defined by the equation -2x +3y = -1?
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