DRILL 1

Question 1

A certain recipe calls for 2 cups of sugar and cups of flour. What is the ratio of sugar to flour in this recipe?

    

    

    

    

    

Question 2

CHARITABLE ANNUAL DONATIONS TO CHARITY GROUP X

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What is the approximate ratio of Company F’s average annual donation to charity group X for the period 1980–1990 to that for the period 1980–2000?

    1:1

    3:2

    3:5

    3:40

    5:2

Question 3

If a certain vitamin pill has 400 milligrams of magnesium, then how many grams of magnesium are in a bottle of 500 vitamin pills? (1 gram = 1,000 milligrams)

            20

          200

        2,000

      20,000

    200,000

Question 4

and , what is the value of a + b ?

    

    3

    

    6

    

Question 5

James can swim 750 yards in 10 minutes. If he swims at the same constant rate, how many minutes will it take him to swim 4.2 times this distance?

Question 6

b is a multiple of positive integer a.

Quantity A Quantity B
The ratio of a to b

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 7

Keri, Neill, and Rich use toilet paper in their apartment in a ratio of 3:2:2. Rich buys two cases of toilet paper online for everyone’s use at 28 rolls per case, an average of $3.50/roll and a $14 delivery charge. If they each contribute to the cost of the toilet paper in direct proportion to the amount they use, how much must Keri contribute?

Question 8

36a = 25b

ab ≠ 0

Quantity A Quantity B

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 9

By volume, cranberry juice makes up 12.5 percent of Bee’s punch and 25 percent of Flo’s punch. If 3 liters of Bee’s punch are mixed with 6 liters of Flo’s punch, approximately what percent of the mixture, by volume, is cranberry juice?

Indicate all such ratios.

      6.25%

    18.75%

    20.83%

    33.33%

    50.00%

Question 10

At the beginning of the day, the ratio of cats to dogs at a boarding kennel was 10 to 11. Throughout the day, 4 dogs and 5 cats were admitted to the boarding kennel and no animals were released.

Quantity A Quantity B

The number of cats in the boarding kennel at the end of the day

The number of dogs in the boarding kennel at the end of the day

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 11

If 7(a – 1) = 17(b – 1), and a and b are both positive integers the product of which is greater than 1, then what is the least possible sum of a and b?

      2

      7

    17

    24

    26

Question 12

A machine works at a constant rate and produces a bolts in 15 minutes and b bolts in c hours.

Quantity A Quantity B
b 3ac

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 13

On a fishing trip, Robert caught salmon and halibut in a ratio of 4:5. If Robert caught 12 salmon, how many total fish did he catch?