# Problems for 6th grade (the sixth graders) - page 39

1. Waste paper Our school attend 1,300 pupils. Each pupil collected plastic bottles or paper. Plastic bottles have collected 930 pupils and 600 pupils old paper. How many students have collected together plastic bottles and waste paper?
2. The buns Kate, Zofia and Peter Liked buns. Even today, their grandmother prepare their favorite meal. Katka eats 4 bunches, Žofia 3 and Petra eats 5 buns. Their grandmother said to them, "My inmate will you know how many buns I have been make today, if those you ea
3. Guess a fraction Tom was asked to guess a fraction. The sum of 1/2 the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in simplest form)
4. LCD 2 The least common denominator of 2/5, 1/2, and 3/4
5. Average speed Michal went out of the house by car at speed 98 km/h. He came into the goal place for 270 minutes. Determine the distance between the two places.
6. Closest natural number Find the closest natural number to 4.456 to 44.56 and to 445.6.
7. Rhombus sides find the sides of a rhombus, it area is 550 cm square and altitude is 55cm
8. Bar Half of the bar is green, the third is yellow and the remaining 40cm is red. How long is a bar?
9. Good swimmer Good swimmer swims 23 m distance with ten shots. With how many shots he swim to an island located 81 m if still swims at the same speed?
10. Expressions Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a3 - b2 - 2ab z=a2 b3 - a3 b2 w=a + b + a3 - b2
11. Groups In the 6th class there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group?
12. Two machines Performances of two machines are in a ratio of 7:12. A machine with less power produced 406 pieces of products per shift. a) How many pieces produced per shift second machine? b) How many pieces produced two machines together for five shifts?
13. One deci Wine 0,375 l costs 2040 CZK. How much does 1 dl cost?
14. Product of two fractions Product of two fractions is 9 3/5 . If one of the fraction is 9 3/7. Find the other fraction.
15. Garden The garden has the shape of a rectangle measuring 19m20cm and 21m60cm. Mr. Novák will fence it. It wants the distance between adjacent pillars to be at least two meters and a maximum of three meters. He would also like the distances between the adjacent pi
16. Hotel The hotel has a p floors each floor has i rooms from which the third are single and the others are double. Represents the number of beds in hotel.
17. Equation 11 Solve equation: ?
18. One frame 5 picture frames cost € 12 more than three frames. How much cost one frame?
19. Subjects Student makes a mathematical task for five minutes and the task from biology in twelve minutes. Another day he have homework in math and biology which consists of eleven tasks together. To do the job took hour and a half. How many tasks maked in each subje
20. School Headteacher think whether the distribution of pupils in race in groups of 4,5,6,9 or 10. How many pupils must have at least school at possible options?

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