The most difficult problems - page 2

1. Stock market 2 For the week of July 22, the following day to day changes in the stock market was recorded a certain stock: -2 on Monday; +4 Tuesday; -8 Wednesday; + 2 1/2 Thursday; - 3 1/4 Friday. The stock began the week at 78 points. How many points did it finish with.
2. Wood 11 Father has 12 1/5 meters long wood. Then I cut the wood into two pieces. One part is 7 3/5 meters long. Calculate the length of the other wood?
3. Write 3 Write a real world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10 then solve the problem
4. Probability of malaria A survey carried out at a certain hospital indicates that the probability that a patient tested positive for malaria is 0.6. What is the probability that two patients selected at random (i) one is negative while the other tested positive? (i) both patien
5. Fruits 2 An apple costs 7p and a melon costs seven times more. How much will 6 apples and 2 melons cost
6. Six speeds A drilling machine is to have 6 speed ranging from 50 to 750 revolution per minute. If the speed forms a geometric progression, determine their values.
7. Three altitudes A triangle with altitudes 4; 5 and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle.
8. Eq2 2 Solve following equation with quadratic members and rational function: (x2+1)/(x-4) + (x2-1)/(x+3) = 23
9. Equation with mixed fractions 2 3/5 of 1430+? = 1900. How to do this problem
10. Investment 2 Jack invested \$5000 in a 5-month term deposit at 4.7% p. A. . At the end of the 5-months, jack reinvested the maturity value from the first deposit into an 11-month term deposit at 7.3% p. A. What is the maturity value at the end of the second term deposit
11. Find the 11 Find the quotient of 229.12 and 12.32
12. Spending Peter spends 1/5 of his earnings on his rent and he saves 2/7. What fraction of his earnings is left?
13. Parabola 3 Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
14. Straight lines Draw two lines c, d so that c || d. On line c mark points A, B, from point A start perpendicular to line c, from point B perpendicular to line c.
15. Regular octagon Draw the regular octagon ABCDEFGH inscribed with the circle k (S; r = 2.5 cm). Select point S' so that |SS'| = 4.5 cm. Draw S (S '): ABCDEFGH - A'B'C'D'E'F'G'H'.
16. Draw a trapezoid Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task.
17. Right triangle Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC.
18. 10 pieces How to divide the circle into 10 parts (geometrically)?
19. Three points Mark three points E, F and G in the plane not lie on one line. a) Draw a line segment FG b) Construct halfline (ray) EG c) Draw a line EF
20. The sum graphically Draw a graphically sum of the all sides of 4-gon ABCD.

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