Mathematics Questions

Mathematics Questions

Question No. 1

Ration and Proportion

Write the comparison as a ration in simplest form using a fraction, a colon, and the word to:

12 quarts to 18 quarts

Fraction

Colon

12:18 = 6:9 = 2:3

Word to

12 to 18 = 6 to 9 = 2 to 3

Question No. 2

Dilution Ratio

Calculate the dilution ratio of a solution of 100 micrometers of serum diluted with 900 micro liters of saline. Write the ration in simplest form using a fraction.

Dilution Ratio:

Question No. 3

Write each phrase as a rate in simplest form:

500 tongue depressors for $5.

1 tongue depressor: 5/500 = 1/100 = 0.01

Question No. 4

Write each phrase as a unit rate:

628.8 miles in 12 hours

1 hour: 628.8/12 = 262/5 = 262.8

Question No. 5

Compensation

You have a choice of receiving a wage of $34,000 per year, $2840 per month, $650 per week, and $18 per hour. Which pay choice would you take? Assume a 40-hour workweek with 52 weeks per year.

1 week: 40 hours

1 year: 52 weeks: 52x40 = 2080 weeks

Pay Choices:

1 year = $34000

1 month = $2840; 1 year = $2080x12 = $34080

1 week = $650; 1 year = $650x52 = $33800

1 hour = $18; 1 year = $18x2080 = $37440

Hence, I would choose being paid $18 per week, as it would make me earn the highest amount of dollars per year.

Question No. 6

Solve

Round to the nearest hundredth, if necessary

Rounded Off to the nearest hundredth:

Question No. 7

Elections

A survey of voters in a city claimed that 2 people of every 5 who voted cast a ballot in favour of city amendment A and that 3 people of every 4 who voted cast a ballot against amendment. Is this possible? Explain your answer.

2/3 voters cast ballot in favour of city amendment A

3/4 voters cast ballot against city amendment A

Making the denominators same for both the ratios:

Now, as we can see, ...