# Grade - examples - page 166

Grandfather have three barrels each with a capacity 2HL in the garden. How many times he can fill 10L can if two barrels are full and the third is filled with water to the half? How long it lasts water when irrigate the garden 125 liters a day?
2. Seagull
Artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull (wi
3. Toy cars
Pavel has a collection of toy cars. He wanted to regroup them. But in the division of three, four, six, and eight, he was always one left. Only when he formed groups of seven, he divided everyone. How many toy cars have in the collection?
4. Boys and girls
There are 28 girls in the hall. 5/7 of all children are boys. How many children and how many boys are there?
5. Skiing
Ski gondola starts at a distance of 975 m from the top and is 389 meters long. I went to the bottom station to the top station. How many meters I must go to the top of hill?
6. Broken tree
The tree is broken at 4 meters above the ground and the top of the tree touches the ground at a distance of 5 from the trunk. Calculate the original height of the tree.
7. Minimum of sum
Find a positive number that the sum of the number and its inverted value was minimal.
8. Trapezium
The area of trapezium is 35 cm2. Find its altitude if the bases are 6cm and 8 cm.
9. Study
For 7 hours study, she scored a 75 so if she made 93 how many hours would she need to study?
10. Savings 2
Jozef and Michael saved 46 euros together. Michael saved 22 euros more than Jozef. How much did save each of them?
11. Cacao
Cacao contains 34% filling. How many grams of filling are in 130 g cacao.
12. Slope
Find the slope of the line: x=t and y=1+t.
13. Variation equation
Solve combinatorics equation: V(2, x+8)=72
14. Imaginary numbers
Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
15. Car parking
The car park has 80 cars when 53 cars leaves. How many car are there?
16. Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, length of which is equal to the distance from the center of the circle.
17. Storm
So far, a storm has traveled 35 miles in 1/2 hour in direction straight to observer. If it is currently 5:00 p. m. and the storm is 105 miles away from you, at what time will the storm reach you? Explain how you solved the problem.
18. Garden
The garden grows 312 roses and 389 tulips. Which flowers are more? How many?
19. On the tree
15 squids and sparrows sat on the tree. Sparrows were 8 less than squids. How many sparrows were sitting at the tree?
20. Bakery and flour
The bakery tray for flour was filled to 3/4 volume. After removing 875 kg of flour, it was filled to only 2/5 of the volume. How many tons of flour is in the full tray?

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