Examples for 6th grade (the sixth graders) - page 21
- Water pool
What water level is in the pool shaped cuboid with bottom dimensions of 25 m and 10 meters, when is 3750hl water in the pool.
Parachutists during freefall firstly held in groups of 4, then of 6, then 9, 12 and finally of 18 members. How many parachutists jump at least should be, if at each group must all be involved.
To number pages of thick book was used 4201 digits. How many pages has this book?
An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side?
On what surface m2 tiler must lay 30 square tiles, each of which has a side 25 cm?
- Fewer than 500 sheep,
There are fewer than 500 sheep, but if they stand in a double, triple, quadruple, five and sixth order, one sheep will remain. But they can stand in the seventh order. How many are sheep?
- Complementary angles
Two angles are complementary. If one angle measures 10°, what is the measure of the second angle?
Rectangular floor of living room has a length 5.4 meters and a circumference 17.2 meters. What is its width?
- Arithmetic average
The arithmetic mean of the five numbers is exactly 8. The sum of these four numbers is 30. What is the fifth number?
- Rings - intersect
There are 15 pupils on the sporting ring. 10 pupils go to football, 8 pupils go to floorball. How many pupils go to both rings at the same time?
- Have solution
The sum of four consecutive even numbers is 96. Determine these numbers.
- Travel by bus
Five girls traveling by bus. Each holds in each hand two baskets. Each basket contains 5 cats. Each cat has 5 kittens. 3 girls getting off the bus and another girl without baskets go on board. The bus control driver. How many legs are in the bus?
Determine if it is possible to construct a triangle with sides 28 31 34 by calculation.
- Concrete tank
How many m3 of concrete is in the tank shape of a cuboid with dimensions of 2000 cm and 5.6 meters and 70 dm, if the concrete takes up 3/7 of the tank?
The front wheel of velocipede from year 1880 had a diameter 1.8 m. If the front wheel turned again one then rear wheel 6 times. What was the diameter of the rear wheel?
Peter has a long rope 2 4/5 meter. Martin has a rope 20 cm longer. What distance ropes achieved if the boys link ropes?
- Mr. John
Mr. John wants to buy winter apples Spartan. There are two ways to buy: 1) buy apples at the marketplace, where 1 kg costs 15 CZK. 2) Bring the car to the agricultural farm, where the apples are sold after 9 CZK per kilogram. However, he must pay CZK 150.
To paint the pool with dimensions: 2 meters depth, 3m x 4m we bought paint to 50 meters square. How many "paint" will be a waste?
- Right triangle
Right triangle legs has lengths 630 mm and 411 dm. Calculate the area of this triangle.
- Three Titanics
Three steamers sailed from the same port on the same day. The first came back on the third day, fourth 4th day and the third returned sixth day. How many days after leaving the steamers met again in the harbor?