# Grade - examples - page 3

- Classroom

Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys - Spherical cap

Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm^{2}. Determine the radius r of the sphere from which the spherical cap was cut. - Inlet minus outlet

Water flows into the tank through two pipes and flows out of the third pipe spontaneously. The pipe A itself would fill the tank in 3 hours, the pipe B itself would fille in 4 hours, and the pipe C itself would flow out in 12 hours. How long will the tank. - Cube root

For 13, Sam wrote 2891 instead of the correct cube number. By how much was he wrong? - Velocipedes

In the 19th century, bicycles did not have a chain drive, and the pedals were connected directly to the wheel axis. This wheel diameter gradually increased until the so-called high bicycles (velocipedes) with a front wheel diameter of up to 1.5 meters, whi - Three workplaces

How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third? - Flowerbed

Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together? - Triangle 42

Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is measure of triangle BCA=? - Tony works

Tony works as a welder for a construction company. His hourly wage is $15.51 and he works 40 hours per week. Tony gets a paid vacation each year. The construction company is doing well and has plenty of work for the next year. Tony can expect to work the e - Expression plus minus

Evaluate expression: (-1)2 . 12 – 6 : 3 + (-3) . (-2) + 22 – (-3) . 2 - Hyperbola equation

Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - Jane plants

Jane plants flowers in the garden. If she planted 12 every hour instead of 9 flowers, she would finish with the job an hour earlier. How many flowers does she plant? - Wood dividing

Which equation calculates the number of 1/3-foot pieces that can be cut from a piece of wood that is 7 feet long? - Pencil cut

Veronika cut 10cm pencil. Each turn, the pencil was reduced by 0.2mm. She turned the pencil 100 times. How many centimeters has a pencil now? - Prism diagonal

The body diagonal of a regular square prism has an angle of 60 degrees with the base, the edge length is 10 cm. What is the volume of the prism? - Rectangle

There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of rectangle. - Banknotes

Eva deposit 7800 USD in 50 banknotes in the bank. They had value 100 USD and 200 USD. How many were they? - Five mechanics

Five mechanics will make a car for some time. How many cars can 30 mechanics produce at the same time? - Poplar

How tall is a poplar by the river, if we know that 1/5 of its total height is a trunk, 1/10th of the height is the root and 35m from the trunk to the top of the poplar? - In the

In the national park, the ratio of the wooded area to grassland is 4: 1. The total area is 385km2. What area is wooded?

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