# Examples for 6th grade (the sixth graders) - page 30

- Athlete

How long length run athlete when the track is circular shape of radius 120 meters and an athlete runs five times in the circuit? - Rails

18 m railway weighs 1260 kg. How much weighs 100 m of welded railways? - Value of teeth

To know value to the healthy teeth we discover only when we take care about tooth caries followed by loss of teeth and think how to replace missing teeth... Calculate the value (cost of money) healthy teeth, if we assume that man has with 32 teeth and rep - Two rulers

We have two rulers. Scale interval on first rulers are a spaced 1 cm and on second spaced 15 mm. Rulers are attached to each other so that they match initial divider commas. What next dividers commas coincide? Find at least three cases. - Store

Peter paid in store 3 euros more than half the amount that was on arrival to the store. When he leave shop he left 10 euros. How many euros he had upon arrival to the store? - LCM

Common multiple of three numbers is 3276. One number is in this number 63 times, second 7 times, third 9 times. What are the numbers? - Speed of sound

The average speed of sound is 330 meters per second. Estimate how long it will hear the church bell 1 km away. Calculate the distance from what would hear sound after 10 seconds. - Ratios

Divide: a) 250 CZK in the ratio 2:3 b) 1000 CZK in the ratio 4:7:9 - Bridge piers

One quarter of the bridge pier is sunk into the ground. Two thirds are in the water. Protruding above the water is 1.20 m long. Determine the height of bridge piers. - Three digits number 2

Find the number of all three-digit positive integers that can be put together from digits 1,2,3,4 and which are subject to the same time has the following conditions: on one positions is one of the numbers 1,3,4, on the place of hundreds 4 or 2. - Divisibility by 12

Replace the letters A and B by digits so that the resulting number x is divisible by twelve /find all options/. x = 2A3B How many are the overall solutions? - Chicks

How many chicks were hatched from 4500 eggs, when an average of 100 eggs hatched 87 chicks? - Pulley

On wheels with a diameter of 40 cm is fixed rope with the load. Calculate how far is load lifted when the wheel turns 7 times? - Divide

Divide substance 110 cm long to two parts so that it first part is 10 cm longer than the second part and one part will be 10 times longer than the second portion. How long the parts will be? - Star equation

Write digits instead of stars so that the sum of the written digits is odd and is true equality: 42 · ∗8 = 2 ∗∗∗ - Bicycle wheel

Bicycle wheel diameter is 62 cm. How many times turns the bicycle on the road 1 km long? - Bus tickets

Bus ticket for a trip from Prague to Paris cost 2180Kč. A return ticket costs 3930Kč. How much money will save a family of four to go to Paris and back when they purchase a return tickets? - Ornamental shrubs

Children committed to plant 240 ornamental shrubs. Their commitment however exceeded by 48 shrubs. Write ratio of actually planted shrubs and commitment by lowest possible integers a/b. - Trees

3/5 trees are apples, cherries are 1/3. 5 trees are pear. How many is the total number of trees? - Toy store

In the toy department of store was exposed 28 dolls. 19 dolls were blondes or could speak. 12 dolls were blondes, 14 could speak. How many blondes could speak in the toy department? How many blondes could not speak?

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