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?

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...