# Problems for 6th grade (the sixth graders) - page 36

1. Cuboid Cuboid has a surface of 516 cm2. Side a = 6 cm and b = 12 cm. How long is the side c =?
2. Subtraction Test what do you know about the subtraction of two numbers: a) make a difference if the minuend 4,307,288 and subtrahend is 472008 b) minuend is 4000 more than subtrahend. What's the difference? c) the difference is 38900 less than the minuend. What is th
3. School 6 Jirka lives 600m from the school, Honzík 1200m. How many kilometers a week does Honzik go over Jirka on his way to school and back? How many times more Honzík will go than Jirka?
4. Odometer The odometer is driven by rotation of the wheel whose diameter is 65 cm. After how many rotations the wheel turns counter to next kilometer?
5. Ages John, Teresa, Daniel and Paul have summary 56 years. Their ages are in a ratio of 1:2:5:6. Determine how many years have each of them.
6. Round it 0.728 round to units, tenths, hundredths.
7. Euros Peter spent a quarter of his pocket saving. He has 9 euros now in his wallet . How many euros spent?
8. Chocolate I eat 24 chocolate in 10 days. How many chocolate I eat in 15 days at the same pace?
9. Arm-leg Calculate the length of the base of an isosceles triangle with a circumference 224 cm if the arm length is 68 cm.
10. Bag Nelly found interesting point. An empty bag weighs 4 kg less than full. And empty bag is 5 times easier than full. How many kg weigh things in this bag?
11. Crocuses The garden grow daffodils, crocuses and roses. 1400 daffodils, crocuses is 462 more and roses is 156 more than crocuses. How many are all the flowers in the garden?
12. Biketrial Kamil was biketrial. Before hill he set the forward gear with 42 teeth and the back with 35 teeth. After how many exercises (rotation) of the front wheel both wheels reach the same position?
13. Surface of cuboid Find the surface of the cuboid if its volume is 52.8 cm3 and the length of its two edges is 2 cm and 6 cm.
14. Cheetah Cheetah elapse 150 m for 5 seconds, the eagle reaches speeds up to 230 km/h, dolphin swims 1.2 km per minute. Which animal is the fastest and slowest? The results write as meters per second (m/s).
15. Cakes On the bowl were a few cakes. Jane ate one-third of them, Dana ate a quarter of those cakes that remained. a) What part (of the original number of cakes) Dana ate? b) At least how many cakes could be (initially) on thebowl?
16. Tram lines Trams of five lines driven at intervals of 5,8,10,12 and 15 minutes. At 12 o'clock come out of the station at the same time. About how many hours again all meet? How many times have earch tram pass for this stop?
17. Sheet of paper Is the sheet of paper measuring 18 and 25 cm enough for taping 9 cm cubes with an edge? (1 = yes, 0 = no)
18. 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)?
19. Flood water Flood waters in some US village meant that the homes had to evacuate 364 people. 50 of them stayed at elementary schools, 59 them slept with their friends and others went to relatives. How many people have gone to relatives?
20. Paper squares The paper rectangle measuring 69 cm and 46 cm should be cut into as many squares as possible. Calculate the lengths of squares and their number.

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