1. Diagonal to area Calculate the area of a rectangle in which the length of the diagonal is 10 cm.
2. Sixty Sixty percent of one-fifteen of the total is equal to thirty. What are two percent of the total?
3. Flying The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable?
4. Painters Six of the painters paint 90 m of fence in five hours. For how long would the 4 painters paint a 45 meter fence? How many meters fence painted painters 5 for two hours?
5. 13 tickets A short and long sightseeing tour is possible at the castle. Ticket for a short sightseeing circuit costs CZK 60, for a long touring circuit costs CZK 100. So far, 13 tickets have been sold for 1140 CZK. How much did you pay for tickets for a short tour?
6. Girls The children's competition was attended by 63 girls, which is 30% of all children's participants. How many children attended this competition?
7. Perimeter of a rectangle If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width?
8. Line segment The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will measure the new line segment?
9. Playing How long have we trained on the pitch when we know that the warm-up took 10 minutes, we trained passes for one-third of the time and we played football half the time?
10. Cuboid The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. Edge length ratio is 7: 5: 3. Calculate the length of the edges.
11. Electric energy There are 875 identical light bulbs in the sports hall lighting for 2 hours. How long does the same amount of electricity consume 100 such bulbs?
12. Commission Daniel works at a nearby electronics store. He makes a commission of 15%, percent on everything he sells. If he sells a laptop for 293.00\$ how much money does Daniel make in commission?
13. Complementary angles 2 Two complementary angles are (x+4) and (2x - 7) find the value of x
14. Test points If you earned 80% of the possible 40 points, how many points did you miss to get 100%?
15. Ruler and compass Use a ruler and compass to construct a triangle ABC with AB 5cm BAC 60° and ACB 45°.
16. Fruit juice Fruit juice contains 37.5% sugar. How many percents of sugar will be in the flavored mineral that we prepare from 100 grams of fruit juice and 1.4 liters of mineral? (1 liter = 1 kg)
17. Father and son When I was 11, my father was 35 years old. Today, my father has three times more years than me. How old is she?
18. The price The price of the land increased by 17%. What was the original price of the land if it now costs 46800 €?
19. Construct Construct a rhombus ABCD, if the size of the diagonal AC is 6 cm and diagonal BD 8 cm long.
20. Subsets How many 19 element's subsets can be made from the 26 element set?

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