# Examples for secondary school students - page 46

1. Unions now The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male, 23% female. Plant management reported that in the trade union is 20% of all employees. How many men and women are in plant and how many are men and women in trade unions?
2. The mast A 40 m high mast is secured in half by eight ropes of 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance.
3. Radians compare What is greater angle? -0.7 radians or -0.7π radians?
4. Triangle ABC v2 Area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
5. Hexadecimal number What will be hexadecimal number 303 as decimal number?
6. Medians and sides Triangle ABC in the plane Oxy; are the coordinates of the points: A = 2.7 B = -4.3 C-6-1 Try calculate lengths of all medians and all sides.
7. Copper wire What is the weight of 1000 m copper wire with a diameter of 5 mm when rezistivity p = 8.8 g / cm3?
8. Angle Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
9. Chebyshev formula To estimate the number of primes less than x is used Chebyshev formula: ? Estimate the number of primes less than 30300537.
10. Two masons Two masons built the garage together - it took 18 days. If they worked independently, the other would work 15 days more than the first. For how many days would build the garage each mason himhelp?
11. V-belt Calculate a length of the V-belt when the diameter of the pulleys is: D1 = 600 mm D2 = 120 mm d = 480 mm
12. The farmer The farmer would like to first seed his small field. The required amount depends on the seed area. Field has a triangular shape. The farmer had fenced field, so he knows the lengths of the sides: 119, 111 and 90 meters. Find a suitable way to determine th
13. Locomotive Locomotive pulled a train permanent load of 200 kN horizontally along the track of 5km. What work it done?
14. Concentration How many grams of 65% and 50% acid is to be mixed to give 240 g acid with a concentration of 60%?
15. Ladder slope What is the slope of a ladder 6.2 m long and 5.12 m in height.
16. Piano If Suzan practicing 10 minutes at Monday; every other day she wants to practice 2 times as much as the previous day, how many hours and minutes will have to practice on Friday?
17. Freezer The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, 30 cm. A layer of ice of 23 mm thick was formed on the inner walls (and on the opening) of the freezer. How many liters of water will drain if we dispose the freezer?
18. Normal Distribution At one college, GPA's are normally distributed with a mean of 3.1 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.7 and 3.5?
19. Quatrefoil Calculate area of the quatrefoil which is inscribed in a square with side 6 cm.
20. Task of the year Determine the number of integers from 1 to 106 with ending four digits 2006.

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