# Examples for 9th grade - page 10

- Parquet floor

Three workers laid parquet floor for 3.646 hour. The first one would do this work alone 11 hours, the second in 12 hours. For how many hours would fulfill this work the third worker, if he worked alone? - 4 pipes

The tank flows out by 4 pipes in 6 hours 120 hl water. How much water flows out of 5 pipes of the same diameter in 14 hours? - Solutions

How much 60% solution and how much 35% solution is needed to create 100 l of 40% solution? - Racing track

On the racing track circling three cars. The first passes one circuit for 8 seconds, the second for 16 seconds and a third for 15 seconds. a) Calculate number of seconds since the start to catch all three cars together for the first time again across the. - Euclid 5

Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height v_{c}= 5 cm. - Discount

Product has been discounted twice by 14%. What is the total discount given? - Equation

How many real roots has equation ? ? - Three friends

Three friends squirrels together went to collect hazelnuts. Zrzecka he found more than twice Pizizubka and Ouska even three times more than Pizizubka. On the way home they talked while eating and was cracking her nuts. Pizizubka eaten half of all nuts whi - Neighborhood

I have 7 cups: 1 2 3 4 5 6 7. How many opportunities of standings cups are there if 1 and 2 are always neighborhood? - Wire

One pull of wire is reduced its diameter by 9%. What will be diameter of wire with diameter 9 mm over 8 pulls? - Cosine

The point (21, 20) is on the terminal side of angle θ. cos θ = ? - Sugar - cuboid

Pejko received from his master cuboid composed of identical sugar cubes with count between 1000 and 2000. The Pejko eat sugar cubes in layers. The first day eat one layer from the front, second day one layer from right, the third day one layer above. Yet i - Cable car 2

Cable car rises at an angle 39° and connects the upper and lower station with an altitude difference of 345 m. How long is the track of cable car? - Semicircle

In the semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC? - Cars plates

How many different licence plates can country have, given that they use 3 letters followed by 4 digits? - Pillar

Calculate volume of pillar shape of a regular tetrahedral truncated pyramid, if his square have sides a = 17, b = 22 and height is v = 36. - Radians

Convert 54° to radians. Write result as multiple of number π. - Two diggers

There are two diggers. One digger digs a pit 83 hours second gidding 1.4 times faster. a) how long took to dig a pit second digger b) how long took dig together - Spherical segment

Spherical segment with height h=5 has a volume V=224. Calculate the radius of the sphere of which is cut this segment. - Rhombus ABCD

Rhombus ABCD, |AC| = 42 cm, |BD| = 96 cm. Calculate the perimeter of the rhombus ABCD.

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