January Problem of the Day

Conversions: Fraction, Decimal & Percent; English & Metric Measurement

January 3, 2012

Find the missing numerator or denominator by writing equivalent fractions for the problems below.

(a) 5/8 = ? / 24

(b) ¾ = 27 / ?

(c) ⅔ = 8 / ?

(d) 7/22 = ? / 132

January 4, 2012

Which of the following equals 3/7?

(a) 9/63

(b) 9/10

(c) 21/49

(d) 9/21

January 5, 2012

Of the fractions below, which are simplified? Simplify the rest.

21/49 13/14 29/37 15/21

19/38 47/63 12/18 2/9

10/45

January 6, 2012

Which of the following are expressed correctly as a mixed number. Be sure to simplify.

(a) 32/7 = 4 3/7

(b) 76/8 = 9 ½

(c) 367/100 = 3 67/100

(d) 41/9 = 4 5/9

January 9, 2012

Write the numerator in each fraction below.

(a) 9 ¼ = ? /4

(b) 13 2/5 = ? / 5

(c) 5 7/8 = ? / 8

(d) 6 4/9 = ? / 9

January 10, 2012

At service stations, pumps measure gasoline in increments of thousandths of gallons. What will the pump read after pumping 18 1/8 gallons?

January 11, 2012

Express each decimal below as a fraction or mixed number. Simplify.

(a) 2.6

(b) 0.75

(c) 14.95

(d) 1.004

January 12, 2012

Joe wants to drill a hole that is large enough to allow a 0.425-inch diameter wire to pass through as tightly as possible. Which of the following drill bits should he use? The diameters of the bits are given in inches.

(a) 13/32

(b) 7/16

(c) 15/32

(d) 3/8

January 13, 2012

Find the missing value in each proportion below.

(a) 6 / ? = 2/7

(b) 6 / ? = 3/7

(c) 6 / ? = 6/7

(d) 6 / ? = 12/7

January 17, 2012

A length is often simplified by expressing it in terms of the largest possible value, using whole numbers for the units of length. The units are missing from the simplified measurements below. Fill in the proper units.

(a) 7 ft. = 2 ______ 1 _______

(b) 37 inches = 1 ________ 1 ________

(c) 6 ft. 15 in. = 2 ______ 1 ______ 3 _______

(d)10 yd. 14 ft. 15 in = 15 _______ 3 _______

January 18, 2012

The numbers in the problems on the left of the equal sign are correct, but some of the decimal points and/or zeros are incorrect in the numbers to the right of the equal sign (red color). Correct the decimal points and zeros.

(a) 2 m = 20 cm

(b) 3.4 cm = 0.34 mm

(c) 15 mm = 0.15cm

(d) 9300 m = 93 km

January 19, 2012

Three of the four problems below have the same answer. Find these three problems and their common answer. Then find the answer to the remaining problem.

(a) 3 lb.15 oz. + 4 lb. 12 oz. =

(b) 13 lb.13 oz. – 5 lb. 2 oz. =

(c) 3 lb.15 oz. x 2 =

(d) 34 lb.12 oz. ÷ 4 =

January 20, 2012

Most dinosaurs were big, but their brains were small. The weight of a stegosaurus’s brain was about 80 grams, which was about 0.004% of the stegosaurus's weight. Find the weight of the stegosaurus in kilograms.

January 23, 2012

The heaviest domestic dog is the St. Bernard. It weighs up to 100 kg and stands 70 cm high at the shoulder. Express this weight in pounds and the height in inches.

FYI:

1 kg ≈ 2.2 lbs

1 cm ≈ 0.39 in

January 24, 2012

Each blank below can be filled with one of the following numbers: 1, 4, 8, or 24. Some numbers will be used more than once. Fill in the blanks so that the relationships are correct.

(a) 2 gal. = _______qt.

(b) 4 qt. = _______ gal. = __________ pt.

(c) 3 c. = _____c _____pt. = ______fl. oz.

(d) 12 fl. Oz. = ______ c. _______ fl. oz.

January 25, 2012

Fill in the blanks with the correct unit.

(a) 4 c. = 2 _______

(b) 5 pt. 3 c. = 6 ______1 c. = 3 _____ 1 c.

(c) 2 qt. = 0.5 ______

(d) 4 gal. = 16 ______ = 512 _______

January 26, 2012

A 12-fluid ounce can of frozen orange juice concentrate is mixed with 3 cans of cold water. How many fluid ounces of OJ will this make? Would a 1-quart pitcher would be large enough to hold the contents? Explain your answer.

January 27, 2012

A bottle of medicine contains 4 fluid ounces. One dose of medicine is 3 teaspoons. How many doses of medicine are in the bottle?

FYI: 3 teaspoons = 1 Tablespoon

2 Tablespoons = 1 fluid ounce

8 fluid ounces = 1 cup

January 30, 2012

A 10-gallon hat is the name for the large hat that many cowboys of the Old West wore. Although this hat was big, it only held about ¾ of a gallon. How many quarts did the 10-gallon hat actually hold?

January 31, 2012

The numbers on the left of the equal signs are correct, but some decimal points and/or zeros are incorrect in the numbers to the right of the equal signs. Correct the decimal points and/or zeros to make each statement true.

(a) 0.13 mL = 0.0013L(b) 6 mL = 600 L(c) 23 L = 0.00023 mL