# Examples for 7th grade (seventh)

1. Water tank
Water tank shape of cuboid has dimensions of the bottom 7.5 meters and 3 meters. How high will reach the water in the tank will flow 10 liters of water per second and the inflow will be open 5/6 hour? (Calculate to one decimal place and the results give i
2. Exhibition
The teacher paid for 280 Kč for 4.A students for admission to the exhibition. How many students were on the exhibition?
3. Apples
Mr. Vesely give to the market his own 48 kg of apples, 40 kg from Mr. Kovar and 72 kg of Mr. Novak. Grossed a total of 1,920 CZK. How must divide income money for apples?
4. Rabbit family
Rabbit family ate 32 pieces of carrots, small one ate 6 pieces, dad 5 more than the mother. How much ate mom?
5. Wood
Wood density is 0.6 g/cm3. How many kilograms weight 1 m3 of wood?
6. Lawns
Before a sports hall are two equally large rectangular lawns, each measuring 40 m and 12 m. Maintenance of 10m² lawn cost 45 CZK yearly. On each lawn is circular flowerbed with a diameter 8 meters. How much money is needed each year to take on lawn care?
7. Area of the cone
Calculate the surface area of the cone, you know the base diameter 25 cm and a height 40 cm.
8. Chord distance
The circle k (S, 6 cm), calculate the chord distance from the center circle S when the length of the chord is t = 10 cm.
9. Circle - easy 2
The circle has a radius 6 cm. Calculate:
10. Angles in triangle
Calculate the alpha angle in the triangle if beta is 61 degrees and 98 gamma degrees.
11. Circle - simple
Calculate the area of a circle in dm2, if its circumference is 31.4 cm.
12. Bicycle wheel
Bicycle wheel diameter is 62 cm. How many times turns the bicycle on the road 1 km long?
13. Draw a trapezoid
Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task.
14. Circle from string
Martin has a long 628 mm string . He makes circle from it. Calculate the radius of the circle.
15. Internal and external angles
Calculate the remaining internal and external angles of a triangle, if you know the internal angle γ (gamma) = 34 degrees and one external angle is 78 degrees and 40 '. Determine what kind of triangle it is from the size of its angles.
16. Cuboid - simple
Calculate the surface area and volume of a cuboid if a = 8 cm, b = 14 cm and c = 6 cm.
17. Right triangle ABC
Calculate the perimeter and area of a right triangle ABC, if you know the length of legs 4 cm 5.5 cm and 6.8 cm is hypotenuse.
18. Lesson exercising
The lesson of physical education, pupils are first divided into three groups so that each has the same number. The they redistributed, but into six groups. And again, it was the same number of children in each group. Finally they divided into nine equal g
19. Clock
What distance will pass end of 8 cm long hour hand for 15 minutes?
20. Annulus
Calculate the area of two circles annulus k1 (S, 3 cm) and k2 (S, 5 cm).

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