# Grade - examples - page 160

1. Rolls Mom every day buys 6 rolls. On Friday buys 2 times as much. How many rolls buys on Friday?
2. Summerjob Three students participated in the summerjob. Altogether they earn 1780, -. Peter got a third less than John and Paul got 100,- more than Peter. How much got every one of them?
3. Tour 35 people went on a tour and paid 8530, -. Employees pay 165, and family members 310. How many employees and how many family members went to the tour?
4. 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?
5. 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
6. Collecting day At collecting day at school pupils of three classes took total of 1063 kg of paper. Class B collected half more than A Class and class C 55 kg more than B. How many kg of paper collected each class?
7. 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?
8. Cords joining Mum needs 6 cords long 360cm long. How many does she need when they are sold at 9 meters and does not want to join it up?
9. Dividing money Imrich, Daniel and Dezider shared an unknown amount in the ratio 1:2:4, where Dezider received 750 euros more than Imrich and Daniel got half as much as Dezider. Determine an unknown amount of money and determine the amounth that got Imrich, Daniel and De
10. Red balls In the bag there are 3 red, 12 blue and 8 green balls. How many red balls we must be attached to the bag if we want the probability of pulling out the red balls was 20%?
11. 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?
12. One deci Wine 0,375 l costs 2040 CZK. How much does 1 dl cost?
13. Raw meat In the school cafeteria for one lunch, they prepare 490 servings of 50 g of boiled meat. Meat loses 30% of its weight by cooking. How many kilograms of raw meat must the school canteen prepare for this lunch to cook?
14. Trees Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apple 50 CZK apiece. The entire plantation cost 12,800 CZK. How many was cherries and apples?
15. 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.
16. Scalene triangle Solve the triangle: A = 50°, b = 13, c = 6
17. Quotient Determine the quotient and the second member of the geometric progression where a3=10, a1+a2=-1,6 a1-a2=2,4.
18. Find the area Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 30 ft, c = 14 ft
19. 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
20. Equilateral triangle ABC In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near the point C, and the point M lies in the one-third of the side of the AC side closer to the point A. Find what part of the ABC triangle conta

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