# Grade - examples - page 131

1. Ballistic curve
The ballistic grenade was fired at a 45° angle. The first half ascended, the second fall. How far and how far it reached if his average speed was 1200km/h, and 12s took from the shot to impact.
2. Flowerbed
In the park there is a large circular flowerbed with a diameter of 12 m. Jakub circulated him ten times and the smaller Vojtoseven times. How many meters each went by and how many meters did Jakub run more than Vojta?
3. Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio 2: 3: 5. The smallest wall have area 54 cm2. Calculate the surface area and volume of this cuboid.
4. Simply equation
Solve this equation for x: ?
5. CuZn
Brass is an alloy of copper and zinc. The 10 centimeter brass cube has a weight of 8.6 kg. Copper density is 8930 kg/m3, the zinc density is 7130 kg/m3. Calculate how many kg of copper and zinc a cube contains.
6. Rhombus 4
Circumference of the rhombus is 44 cm, its height is 89 mm long. Calculate its content area.
7. Blades
1st blade 2,5 m, 2nd blade. .1.75 m. How many same long pieces of this two blades can be do the biggest? How long is one piece?
8. 3x square
Side length of the square is 54 cm. How many times increases the content area of square if the length of side increase three times?
9. Divide money
Divide 1200 USD at a ratio of 1:2:3:4:5:6:9:10
10. Donuts
In the dining room at one table sit Thomas, Filip and Martin. Together they eat 36 donuts. How many donuts eaten everyone, when Filip ate twice as much as Thomas and Martin even half over Filip?
11. Savings and retirement
The older sibling has saved 44% more euros than the youngest, which represents 22 euros. How many euros older brother has saved ?
12. The tap
For one day flows 148 l of water out of the tap. How much water will flow out for 3/4 day?
13. Pumps 5
5 pump pumped in 3 hours 1800 hl of water. How many hectoliters of water pumped 4 equally powerful pumps in 6 hours?
14. Diagonal of the rectangle
Calculate the diagonal of the rectangle which area is 54 centimeters square and the circuit is equal to 30 cm.
15. Password dalibor
Kamila wants to change the password daliborZ by a) two consonants exchanged between themselves, b) changes one little vowel to such same great vowel c) makes this two changes. How many opportunities have a choice?
16. Cube 2
How many times will increase if the surface area of the cube if we triple length of its edge?
17. Joshka
Joshka had € 15. Mama took him 15%. How many had left?
18. Buttons
Shirt has 6 buttons, blouse has 4 buttons. All buttons are 176. Shirts and blouses are together 36. How many are the shirts and blouses?
19. Unknown number 24
f we add 20, we get 50% of its triple. What is this unknown number?
20. Infinite decimal
Imagine the infinite decimal number 0.99999999 .. ... ... ... That is a decimal and her endless serie of nines. Determine how much this number is less than the number 1. Thank you in advance.

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