# Examples for 9th grade - page 5

- Transforming cuboid

Cuboid with dimensions 12 cm, 20 and 8 cm is converted into a cube with the same volume. What is its edge length? - OK circle

Calculate the radius (circumradius) of the circle described right triangle with hypotenuse long 8 and one cathetus long 4. - Invitations

For every 5 minutes writes Dana 10 invitations, while Anna 14 invitations. How long will write together 120 invitations? - Permill

How many permill is 1931 from 166456? - Tunnels

Mice had built an underground house consisting of chambers and tunnels: • each tunnel leading from the chamber to the chamber (none is blind) • from each chamber lead just three tunnels into three distinct chambers, • from each chamber mice can get to any - Pool

The swimming pool is 6 m wide and 14 m long and 185 cm deep. How many hectoliters of water is in it, if the water is 9 cm below its upper edge. - Compare II

Which of the numbers 15^{8}, 8^{15}is greater? - Shooter

The probability that a good shooter hits the center of the target circle I is 0.22. The probability that the target hit intercircle is II 0.41. What is the probability that it hits the target circle I or II? - Madams

During the spring cleaning ladies going to wash windows. Mother takes wash all the windows 5 hours, the grandmother 3 times longer and Paula wash all windows in 5 hours. How many hours will spend washing the windows this "women's team" if working togethe - ABS

What is the value of ? ? - Area codes

How many 6 digit area codes are possible if the first number can't be zero? - Teams

How many ways can divide 12 players into two teams of 6 member? - Circle chord

What is the length d of the chord circle of diameter 58 mm, if distance from the center circle is 24 mm? - Angles and sides of the triangle

Triangle ABC has a circumference of 26 cm. Lengths of the sides are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles in order of its size. ? - Radius

Determine the radius of the circle, if its perimeter and area is the same number. - 2nd class variations

From how many elements you can create 6480 variations of the second class? - Gauss

Help little C.F. Gauss sum all the integers from 1 to 340. - River

Calculate how many promiles river Hudson average falls, if on section long 921 km flowing water from 1224 m AMSL to 154 m AMSL. - Katy MO

Kate draw triangle ABC. Middle of AB have mark as X and the center of the side AC as Y. On the side BC wants to find the point Z such that the content area of a 4gon AXZY was greatest. What part of the triangle ABC can maximally occupy 4-gon AXZY? - Two workers

Two workers together execute some work in 10 days. The first worker would have done himself in 20 days. How many days would have done himself a second worker?

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