# Grade - examples - page 172

1. Equation with x
Solve the following equation: 2x- (8x + 1) - (x + 2) / 5 = 9
2. Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
3. Dice
We throw five times the dice. What is the probability that six fits exactly twice?
4. Expression 6
Evaluate expression: -6-2(4-8)-9
5. Two brothers
The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m2 in a ratio of 5:4. How many will everyone get?
6. Distance of numbers
Which number has the same distance from the numbers -5.65 and 7.25 on the numerical axis?
7. Three friends
Three friends had balls in ratio 2: 7: 4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together.
Shade the area on the grid that shows 5/8 x 2/4
9. Five mechanics
Five mechanics will make a car for some time. How many cars can 30 mechanics produce at the same time?
10. Tea mixture
Of the two sort of tea at a price of 180 CZK/kg and 240 CZK/kg we make a mixture 12 kg that should be prepared at a price of 200 CZK / kg. How many kilos of each sort of tea will we need to be mixed?
11. Equation with abs
Solve this equation with absolute value member: ?
12. Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
13. Triangular prism
Calculate the volume of a triangular prism 10 cm high, the base of which is an equilateral triangle with dimensions a = 5 cm and height va = 4,3 cm
14. Solutions, mixtures
How many liters of 70% solution we must add to 5 liters of 30% solution to give us a 60% solution?
15. Cents no more
Janko bought pencils for 35 cents each. Neither he nor the salesperson had small coins just a whole € 1 coin. At least how many pencils had to buy to pay for the whole euros?
16. Decagon
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m
17. Dried fruit
The manufacturer produces a mixture of dried fruit. He purchased: 10kg pineapple for 200 Kc/kg 2kg papaya for 180 kc/kg 1kg of banana for 400 Kc/kg How many kgs of raisin for 80 Kc/kg must be put into the mix by the manufacturer so that the production pr
18. Two people
Two straight lines cross at right angles. Two people start simultaneously at the point of intersection. John walking at the rate of 4 kph in one road, Jenelyn walking at the rate of 8 kph in the other road. How long will it take for them to be 20√5 km apar