# Examples for 6th grade (the sixth graders) - page 15

- Circles

For the circle c_{1}(S_{1}; r_{1}=146 cm) and c_{2}(S_{2}; r_{2}= 144 cm) is distance of centers |S_{1}S_{2}| = 295 cm. Determine the distance between the circles. - Steps

Adult step has a length 76 cm. How many steps will he goes distance 50 meters? How many meters he goes when he makes 700 steps? - Special cube

Calculate the edge of cube, if its surface and its volume is numerically equal number. - 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? - 3-bracket 2

May be the smallest angle in the triangle greater than 40°? - Square and circle

Into square is inscribed circle with diameter 10 cm.What is difference between circumference square and circle? - Line

How many parts of line divide 5 (different) points that lie on it? - 7 triangle

The triangle area is 26.7 cm^{2}. Determine the side length l if appropriate height h_{l}= 45.3 cm. - Pytagoriade

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 - Ratio

Unfold number 1963 in the ratio 9:2:2. - Fraction

Determine for what x fraction ?: - Parallelogram - side

Calculate the length of the side of a parallelogram whose area is 175 dm^{2}and height to that side is 24.2 dm long. - Florist

Florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses? - 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? - 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? - 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). - 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? - 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°? - Cuboid aquarium

Cuboid 25 times 30 cm. How long is third side if cuboid contains 30 liters of water? - Troops - soldiers

Food stocks will last 20 soldiers of the 4-day training. How many days they could extend training if four soldiers become sick?

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