# Grade - examples - page 213

1. GP members The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16?
2. STRESSED word Each letter in STRESSED is printed on identical cards, one letter per card and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled.
3. Expression Solve for a specified variable: P=a+4b+3c, for a
4. If you If you travel to work 22 days and it takes 29.2 minutes, how many minutes will it take to travel to work and back?
5. Melting point The melting point of mercury is -36°F and its boiling point is 672°F. What is the difference between the boiling point and the melting point?
6. A man A man spends 5/9 of his money on rent, and 5/16 of the remainder on electricity. If the final balance remaining is 550 find how much was spent on rent
7. Intersections Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5
8. Water 31 Richard takes 3 1/6 liters of water before noon and 2 3/5 liters of water after noon. How many litres of water does Richard consume a day ?
9. Two angles The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees.
10. Last page Two consecutive sheets dropped out of the book. The sum of the numbers on the sides of the dropped sheets is 154. What is the number of the last page of the dropped sheets?
11. Annual pension Calculate the amount of money generating an annual pension of EUR 1000, payable at the end of the year and for a period of 10 years, shall be inserted into the bank to account with an annual interest rate of 2%
12. Intercept with axis F(x)=log(x+4)-2, what is the x intercept
13. Rectangle area The length of a rectangle of x units is increased by 10% and its width of y units is increased by 15%. What is the ratio of the area of the old rectangle to the area if the new rectangle?
14. A jackpot How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i. E. , home win or away win.
15. Regrouping Subtract mixed number with regrouping: 11 17/20- 6 19/20
16. Twenty Twenty rabbits are put in 4 cells so that there are different number of rabbits in each cell contains at least 3 rabbits. What is the largest possible number of rabbits in one cell
17. Internet anywhere In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least 6 students have access to the internet
18. Two equations Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5
19. Carla Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter’s age was twice the sum of Carla’s and Jim’s age. Find the present age of each one of them.
20. Andre Andre, Thomas, and Ivan split 88 postage stamps in a 2:5:4 ratio. How much did Thomas get?

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