# Examples for 6th grade (the sixth graders)

#### Number of problems found: 1300

- Matches

George poured out of the box matches and composing them triangles and no match was left. Then he tries squares, hexagons and octagons and no match was left. How many matches must be at least in the box? - Divers

20-member group of divers carries the air for 15 hours of diving. 4 members of the expedition sick or wasn't came. How many hours is sufficient air to other divers? - Cuboid box

Cuboid box have dimensions of 30 cm, 25 cm and 40 cm. Sketch its network and compute surface area of box. - Octagon from rectangle

From tablecloth rectangular shape with dimensions of 4 dm and 8 dm we cuts down the corners in the shape of isosceles triangles. It thus formed an octagon with area 26 dm^{2}. How many dm^{2}we cuts down? - Handmade baskets

Worker knits the baskets which then sells in the market. He maked seven baskets on Monday and one more each day than he did in the previous day. How many times more baskets did he make till the following Monday evening compared to the first day when he d - Master and apprentice

Master painted the roof in 3 hours and apprentice for 4 hours. How many of roof they painted in hour and how many in three quarters of an hour? - Tiles

It is given an area of 5m x 4m One tile is 40 x 40 cm How many tiles are needed in an area of 5 m x 4 m? And how many tiles need to be cut (if it not possible for the tiles to fall exactly)? - Square room

What is the size of the smallest square room, which can pave with tiles with dimensions 55 cm and 45 cm? How many such tiles is needed? - Division

Which number in division 16 give 12 and the rest 3? - Lunch

Jane eats whole lunch for the 30 minutes. Which part of the lunch is eaten in 180 seconds? - Timeage

Seven times of my age is 8 less than the largest two-digit number. How old I am? - Equation 11

Solve equation: ? - Two machines

Performances of two machines are in a ratio of 7:12. A machine with less power produced 406 pieces of products per shift. a) How many pieces produced per shift second machine? b) How many pieces produced two machines together for five shifts? - Annual rainfall

The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field? - Pedestrian

Dana started at 10:00 from the point A to point B. These points are distant 12 km. Determine how fast Daniel went when the place B arrived at 11:54. Speed express in km/h. - Sugar

From 3 tons of sugar beet was produced 480 kg of sugar. How many tons of sugar was produced from 17.5 tons of sugar beet? - Simple equation

Solve the following simple equation: 2. (4x + 3) = 2-5. (1-x) - The shop

The shop has 3 hectoliters of water. How many liter bottles is it? - School trip

School trip cost 247.2 Eur for one class (24 students). How much would cost a trip for two classes? (both classes together have 53 students) - Expressions

Expression (3a-7).(3a+7) is identical with: ?

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