Examples for secondary school students - page 74

1. 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
2. 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
3. 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. ]
4. A perineum A perineum string is 10% shorter than its original string. The first string is 24, what is the 9th string or term?
5. Rocket start The body launched vertically up returns to the start site in 6 seconds. What height did it have?
6. Algebra X+y=5, find xy (find the product of x and y if x+y = 5)
7. Geometric progression 4 8,4√2,4,2√2
8. 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. .
9. 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?
10. 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?
11. 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?
12. 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
13. Diofant equation 250x + 120y = 5640
14. Midpoint 4 If the midpoint of a segment is (6,3) and the other end point is (8,-4) what are thw coordinate of the other end?
15. Domains of functions F(x)=x2-7x and g(x)=5-x2 Domain of (fg)(x) is. .. . . Domain of (f/g)(x). ..
16. Calculate 3 Calculate the cube volume whose edge is 3x-1,3x-1,3x-1
17. Linear system Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2
18. Blocks There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?
19. Find the 2 Find the term independent of x in the expansion of (4x3+1/2x)8
20. Expression with powers If x-1/x=5, find the value of x4+1/x4

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