# Examples for 8th grade - page 21

- 4s pyramid

Regular tetrahedral pyramid has a base edge a=6 and collaterally edge length b=15. What is its height? - Runners circle

Pepa circles the track in 36 seconds. Kamil in 42 seconds. They started together. How many seconds will meet again at the start? - Plums

In the bag was to total 193 plums. Igor took 4 plums and Mary took 4/7 from the rest. How many plums remained in the bag? - Isosceles trapezoid v3

In an isosceles trapezoid ABCD is the size of the angle β = 71° Determine size of angles α, γ and δ. - The chord

Side of the triangle inscribed in a circle is a chord passing through circle center. What size are the internal angles of a triangle, if one of them is 40°? - Aunt

Annie aunt is 35 years old, Annie is 14 years. For how many years will aunt have twice as many years as Annie? - Height

Calculate height of the equilateral triangle if its perimeter is 54? - Sphere A2V

Surface of the sphere is 306 m^{2.}What is its volume? - Tractors

Six tractors plowing the field for 8 days. After two days, two tractors broke down. How many days were prolonged work in the field? - Is right?

Determine whether the triangle with cathetuses 19.5 cm and 26 cm and length of the hypotenuse 32.5 cm is rectangular? - Sheep

Shepherd tending the sheep. Tourists asked him how much they have. The shepherd said, "there are fewer than 500. If I them lined up in 4-row 3 remain. If in 5-row 4 remain. If in 6-row 5 remain. But I can form 7-row." How many sheep have herdsman? - Vacation

Smiths paid a deposit for a vacation of two-sevenths of the total price of the vacation. Then paid also € 550. How much cost their vacation? - Copy typist

Typist for 12 hours rewritten 15% of the manuscript. After how many hours he will done 35% of the manuscript? - Dog

Man goes with a dog on a long walk 18 km from the house. Man is walking at speed 5.3 km/h and a dog that constantly running between house and man at 17.1 km/h. How many kilometers will run the dog when they reach their destination? - Prism X

The prism with the edges of the lengths x cm, 2x cm and 3x cm has volume 48000 cm^{3.}What is the area of surface of the prism? - Cyclist

A cyclist is moving at 26 km/h and follow pedestrian who is walking at speed 7 km/h. Walker has an advantage 13 km. How long take cyclist to catch up with him? - Trip

On the trip drank 3/10 of pupils tea, 2/5 cola, 1/4 mineral water and remaining 3 juice. How many students were on the trip? - Base, percents, value

Base is 344084 which is 100 %. How many percent is 384177? - Decomposition

Make decomposition using prime numbers of number 355. Result write as prime factors (all, even multiple) - Column

Perpendicular pole high 6 m tall broke and its toe fell 2.8 m from the bottom of the pole. At what height above the ground pole broke?

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