# Basic functions - math word problems

1. Exchange rates If the Canadian dollar appreciated by C\$0.005 relative to the US dollar, what would be the new value of the Canadian dollar per US dollar? Assume the current exchange rate was US\$1 = C\$0.907.
2. Composite ratio Jakub, Aneta, and Lenka divided 1342 USD in the ratio 5/2: 3/10: 1/4. How much did Lenka take?
3. Temperature 5 Temperature outside starts at 0 Fahrenheit. Over time the temperature changes at a rate of -0.6 Fahrenheit per hour. How long will it take for the temperature to reach -4.5 Fahrenheit?
4. Fractions 3 Calculate 1/9 of 27:
5. Lengths of the pool Miguel swam 6 lengths of the pool. Mat swam 3 times as far as Miguel. Lionel swam 1/3 as far as Miguel. How many lengths did mat swim?
6. Two diggers Two diggers should dig a ditch. If each of them worked just one-third of the time that the other digger needs, they'd dig up a 13/18 ditch together. Find the ratio of the performance of this two diggers.
7. Clock's gears In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position?
8. Two masters The two masters will make as many parts as five apprentices at the same time. An eight-hour shift begins at 6 o'clock. When can a master finish the job to produce just as much as an apprentice for the whole shift?
9. Mixed with percentages Calculate 33 1/3% of 570.
10. Classmates Roman is ranked 12th highest and eleventh lowest pupil. How many classmates does Roman have?
11. Discount The dress was discounted by CZK 115, which was 12% of the original price. What is the cost of the dress after the discount?
12. Domains of functions F(x)=x2-7x and g(x)=5-x2 Domain of (fg)(x) is. .. . . Domain of (f/g)(x). ..
13. The position The position of a body at any time T is given by the displacement function S=t3-2t2-4t-8. Find its acceleration at each instant time when the velocity is zero.
14. Progression -12, 60, -300,1500 need next 2 numbers of pattern
15. Sugars In what ratio must two sorts of sugar, costing #390 and #315 per kg respectively, be mixed in order to produce a mixture worth #369 per kg?
16. Inverted nine In the hotel,, Inverted nine" each hotel room number is divisible by 6. How many rooms we can count with three-digit number registered by digits 1,8,7,4,9?
17. Square metal sheet Four squares of 300 mm side were cut out from a square sheet metal plate with a side of 0,7 m. Express the fraction and the percentage of waste from the square metal sheet.
18. Quarter circle What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
19. Sales tax A sales tax on a Php 10,800 appliance is Php.1,620. What is the rate of sales tax?
20. School yearbook Bianca sold Php.18,500 worth of advertisements for the school yearbook. If she is given a commision of 8%, how much did she earn for the advertisements?

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