# Examples for secondary school students

#### Number of problems found: 2059

• School trip The class has 19 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms. (Each room has its unique number)
• Lunch Seven classmates go every day for lunch. If they always come to the front in a different order, will be enough school year to take of all the possibilities?
• Harmonic HM example Harmonic means of 4 and 8.
• Exp If ?, then n is:
• Fraction For what x expression ? equals zero?
• Asymptote What is the vertical asymptote of ?
• Find next member Find x if the numbers from a GP 7, 49, x.
• Discriminant Determine the discriminant of the equation: ?
• Hexagonal pyramid The base of the pyramid is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high.
• Component fail There is a 90 percent chance that a particular type of component will perform adequately under high temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because exactly one of the
• Equation How many real roots has equation ? ?
• Logarithm Determine the number whose decimal logarithm is -3.8.
• Null points Calculate the roots of the equation: ?
• Diagonals What x-gon has 54 diagonals?
• Pizza A school survey found that 12 out of 15 students like pizza. If 6 students are chosen at random, what is the probability that all 6 students like pizza?
• To the cinema Jane at 8 am got message that all 1093 school pupils will go to the cinema. Within 20 min she said it to the three friends. Each of them again for 20 minutes said to the other three. In this way the message spread further. At what time all the children in
• Series and sequences Find a fraction equivalent to the recurring decimal? 0.435643564356
• ABS What is the value of ? ?
• Power Number ?. Find the value of x.
• N-gon How many diagonals has convex 11-gon?

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