# 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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