# Grade - examples - page 200

1. Perfect cubes Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube?
2. The price The price of the land increased by 17%. What was the original price of the land if it now costs 46800 €?
3. Company and employees There are 370 employees in the company - women are 15% less than men. How many men work in the company?
4. Perimeter of square The square has a circumference 17cm. What is its area?
5. Depth angle From a cliff of 150 meters high, we can see the ship at a depth angle of 9° at sea. How far is the ship from the cliff?
6. One hectare How many square meters are one hectare?
7. Reciprocal equation 2 Solve this equation: x + 5/x - 6 = 4/11
8. Fraction and a decimal Write as a fraction and a decimal. One and two plus three and five hundredths
9. A residential A residential colony has a population of 5400 and 60 litres of water is required per person per day. For the effective utilization of rain water, they constructed a water reservoir measuring 48m × 27m × 25m to collect the rain water. For how many days, the
10. Ladder Adam placed the ladder of the house, the upper end reaching to the window at the height of 3.6m, and the lower end standing on level ground and was distant from a wall of 1.5m. What is the length of the ladder?
11. Cube walls Find the volume and the surface area of the cube if the area of one of its walls is 40 cm2.
12. Sauna and pool There are 49 people in the swimming pool. There are seven times fewer people in the sauna. How many people are in the sauna? How many people are entirely in the pool and the sauna?
13. Resistance A resistor having an electrical resistance of 1.5 k ohms passes an electrical current of 0.1 A. Calculate what voltage is between the terminals of the resistor.
14. Seven times Which number seven times is just as higher as 27, how much is smaller than 29?
15. Pavement Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if distance the pavement from the center is 15 m.
16. Father and son When I was 11, my father was 35 years old. Today, my father has three times more years than me. How old is she?
17. Practice How many ways can you place 20 pupils in a row when starting on practice?
18. Inverted nine In the hotel,, Inverted nine" each hotel room number is divisible by 6. How many rooms we can count with three-digit number registered by digits 1,8,7,4,9?
19. Velocipedes In the 19th century, bicycles did not have a chain drive, and the pedals were connected directly to the wheel axis. This wheel diameter gradually increased until the so-called high bicycles (velocipedes) with a front wheel diameter of up to 1.5 meters, whi
20. Associative law multiplication In a warehouse, you obtain a 20% discount but you must pay a 15% sales tax. Which would you prefer to have calculated first: discount or tax? Explain. (result write as: 1 = first discount, 2 = first tax, 3 = no matter what first)

Do you have an interesting mathematical example that you can't solve it? Enter it, and we can try to solve it.

To this e-mail address, we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.