1. Trapezium
Determine the height of the trapezium ABCD, which has area 77.5 cm2 and base lengths 16 cm and 15 cm.
2. Solution
In 469 dl red solution is 84 dl red color and in 102 dl blue solution is 52 dl blue color. How many dl of red and blue dl color solution must be mixed to get a mixture of 247 dl contain 116 dl of color?
3. Circles
For the circle c1(S1; r1=146 cm) and c2(S2; r2 = 144 cm) is distance of centers |S1S2| = 295 cm. Determine the distance between the circles.
4. Special cube
Calculate the edge of cube, if its surface and its volume is numerically equal number.
5. 3-bracket 2
May be the smallest angle in the triangle greater than 40°?
6. Florist
Florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses?
7. Line
How many parts of line divide 5 (different) points that lie on it?
8. Parallelogram - side
Calculate the length of the side of a parallelogram whose area is 175 dm2 and height to that side is 24.2 dm long.
9. Homework - jumps
Sasha jumped 121 cm Peter 4 cm more than Jirka. Jirka 6 cm less than Misha. Misha 7 cm less than Filip and Filip half as much Sasha and Petr together. How far each jumped?
Two fifth-graders teams competing in math competitions - in Mathematical Olympiad and Pytagoriade. Of the 33 students competed in at least one of the contest 22 students. Students who competed only in Pytagoriade was twice more than those who just competed
11. 7 triangle
The triangle area is 26.7 cm2. Determine the side length l if appropriate height hl = 45.3 cm.
12. Ratio
Unfold number 1963 in the ratio 9:2:2.
13. Fraction
Determine for what x fraction ?:
14. Bicycles
You're the owner of the transport 's learning playground. Buy bicycles of two colors but you've got to spend accurately 120000 Kč. Blue bike costs 3600Kč and red bicycle 3200Kč.
15. Bob and Bobek
Bobek has 2 cabbages and 5 carrots, Bob has 2 cabbages and 9 carrots. When Bobek stepped on the scale weight 5800 g and when Bob weight 8960 g. Actual Bob weight is 8 kg and Bobek 5 kg. How much weighs one carrot?
16. Clocks
What distance will describe the tip of minute hand 6 cm long for 20 minutes when we know the starting position with finally enclose hands each other 120°?
17. Glass
Peter broke the window glass with size 110 cm and 90 cm. 1 square meter of glass costs 11 USD. How much money is need to pay for a new glass?
18. Christmas
Exactly after 114 hours we sit down to Christmas Eve table. What day and what time it was when Dad said this sentence. The Christmas Eve table they sit down exactly on the 18-o'clock (6 PM).
19. Cuboid aquarium
Cuboid 25 times 30 cm. How long is third side if cuboid contains 30 liters of water?
20. Pocket
Mirka spent on a trip for gifts half pocket. For the third remain money bought a bagel. Six euros left her. How many euros had Mirka in pocket?

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