# Examples for secondary school students

#### Number of problems found: 2028 78 school students graduate from mathematics or physics. There are three times more students who graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate fro
• Numbers Write smallest three-digit number, which in division 5 and 7 gives the rest 2. Determine the number of integers from 1 to 106 with ending four digits 2006.
• Missing term 2 What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875?
• Elevation angles From the endpoints of the base 240 m long and inclined at an angle of 18° 15 ', the top of the mountain can be seen at elevation angles of 43° and 51°. How high is the mountain?
• Annular area The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area.
• Perpendicular Determine the slope of the line perpendicular to the line p: y = -x +4.
• Chords How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones? How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
• Word MATEMATIKA How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful?
• First man What is the likelihood of a random event where are five men and seven women first will leave the man?
• Distance Wha is the distance between the origin and the point (18; 22)?
• Coordinates of vector Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
• Square roots What is equal to the product of the square roots of 295936?
• Interest What is the annual interest rate on your account if we put 32790 and after 176 days received 33939.2?
• This year This year 2020 is a leap year. How many leap years there had been be since 1904?
• Equation with abs Solve this equation with absolute value member: ?
• 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 = 5x
• 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?

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