# Examples for 7th grade (seventh)

1. Car Car goes from point A to point B at speed 86 km/h and back 53 km/h. If they goes there and back at speed 67 km/h trip would take 10 minutes shorter. What is distance between points A and B?
2. Tiles How many 46 cm square tiles will cover a floor 22.08 m by 8.74 m?
3. Efficiency A certain device consumes 28 kW and delivers 14 kW. Find its efficiency.
4. 100 % How much is 100%, if 17 % is 1169?
5. Homework Mother and Kate together weigh 24.5 kg more than the father. Father weighs 7.6 kg more than mother. Father weight 44.8 kg more than Kate. Determine weights of father mother and Kate.
6. Percentages Expressed as a percentage:
7. Base Compute base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm.
8. Count of roots How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers?
9. 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?
10. Area of RT 2 Calculate the area of right triangle whose legs have a length 5.8 cm and 5.8 cm. Solve pure quadratic equation ?.
12. Medicament Same type of medicament produces a number of manufacturers in a variety of packages with different content of active substance. Pack 1: includes 60 pills of 600 mg of active substance per pack cost 9 Eur. Pack 2: includes 150 pills of 500 mg of active su
13. Bridge The bridge arc has a span 34 m and height 3 m. Calculate the radius of the circle arc of this bridge.
14. LCM What is the least common multiple of 5, 50, 14?
15. Inheritance After death father (♱ 62) remained mother (his wife) and its 3 children. Inheritance by law is that in first mother will automatically get half of the property and other one half inherite by heirs witch are mother and her 3 children by same share. Ca
16. IS trapezoid Isosceles trapezoid arm measured 35 cm. Height is 30 cm and middle segment is 65 cm. Determine length of its bases.
17. Tereza The cube has area of base 256 mm2. Calculate the edge length, volume and area of its surface. Road embankment has a cross section shape of an isosceles trapezoid with bases 5 m and 7 m, and 2 m long leg. How many cubic meters of soil is in embankment length of 1474 meters? Railways climb 7.4 ‰. Calculate the height difference between two points on the railway distant 3539 meters. How heavy must prepare bread at a bakery if lose during baking 16% of water and after baking must have 2 kg? (Calculate to the nearest gram)