# Grade - examples - page 186

The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area.
2. Eggs
3400 eggs sliced hens for February and March. We have to calculate how many hens can make 3400 eggs when one hen give 2 eggs a day for 59 days.
3. Electric input power
Solve problems related to electric power: a) U = 120 V, I = 0.5 A, P =? b) P = 200 W, U = 230 V, I =? c) I = 5 A, P = 2200W, U =?
4. Zdeněk
Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk's water he picked.
5. Body diagonal - cube
Calculate the surface and cube volume with body diagonal 15 cm long.
6. Simple equation
Solve the following simple equation: 2. (4x + 3) = 2-5. (1-x)
7. PIN code
PIN on Michael credit card is a four-digit number. Michael told this to his friend: • It is a prime number - that is, a number greater than 1, which is only divisible by number one and by itself. • The first digit is larger than the second. • The second.
8. Six terms
Find the first six terms of the sequence a1 = -3, an = 2 * an-1
9. Prism diagonal
The body diagonal of a regular square prism has an angle of 60 degrees with the base, the edge length is 10 cm. What is the volume of the prism?
10. Flour
2 kg of flour costs 100 CZK. How much does it cost half a kilogram?
11. Fractions
Three-quarters of an unknown number are 4/5. What is 5/6 of this unknown number?
12. Four numbers
The first number is 50% second, the second number is 40% third, the third number is 20% of the fourth. The sum is 396. What are the numbers?
13. Digits
How many odd four-digit numbers can we create from digits: 0, 3,5,6,7?
14. Vertices of a right triangle
Show that the points D(2,1), E(4,0), F(5,7) are vertices of a right triangle.
From the junction of two streets that are perpendicular to each other, two cyclists (each on another street) walked out. One ran 18 km/h and the second 24 km/h. How are they away from a) 6 minutes, b) 15 minutes?
16. Regular prism
The regular four-sided prism has a base of 25 cm2 and a surface of 210 cm2. Find its volume.
17. Combine / add term
Combine like terms 4c+c-7c