# Examples for secondary school students - page 75

1. GP members The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16?
2. Intercept with axis F(x)=log(x+4)-2, what is the x intercept
3. 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%
4. 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.
5. 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.
6. 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
7. Two equations Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5
8. A large A large gear will be used to turn a smaller gear. The large gear will make 75 revolutions per minute. The smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM. ]
9. Imagine Imagine that a unit of air at a temperature of 25°C rises up a mountain range that is 3,000 meters high on the windward side and which descends to 1,200 meters on the leeward side, assuming that the air will remain dry what will its temperature when it cro
10. A perineum A perineum string is 10% shorter than its original string. The first string is 24, what is the 9th string or term?
11. Rocket start The body launched vertically up returns to the start site in 6 seconds. What height did it have?
12. Geometric progression 4 8,4√2,4,2√2
13. Algebra X+y=5, find xy (find the product of x and y if x+y = 5)
14. Effective and mean voltage A voltage divider consisting of resistors R1 = 103000 Ω and R2 = 197000 Ω is connected to the ideal sine wave voltage source, R2 is connected to a voltmeter which measures the mean voltage and has an internal resistance R3 = 200300 Ω, the measured value is
15. Employees The company employs 1 440 employees (men and women). For over-average results, the premiums were 18.75% of all men and 22.5% of all women. 20% of employees were rewarded with premiums. How many men and how many women are employed in the company?
16. Legs Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?
17. In a 2 In a thirteen sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal and the other four are 18° less than each of the equal angles. Find the angles. .
18. Diofant equation 250x + 120y = 5640
19. A triangle A triangle has an angle that is 63.1 other 2 are in ratio of 2:5 What are the measurements of the two angles?
20. Calculate 3 Calculate the cube volume whose edge is 3x-1,3x-1,3x-1

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