# 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.
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.