1001_Math_Problems__LearningExpress_

–FRACTIONS–

281. If the diameter of a metal spool is 3.5 feet, how many times will a 53-foot hose wrap com-

pletely around it? (C = πd; π = 22 )

7

a.2 times

b.3 times

c.4 times

d.5 times

282.The high temperature in a certain city was 113°F. At about what temperature Celsius was

5

this temperature? C = (F – 32)

9

a.45°C

b.45.5°C

c.51°C

d.81.5°C

283.Tank A, when full, holds 555 gallons of water.

Tank B, when full, holds 680 gallons of water. If

Tank A is only	2	full and Tank B is only	2	full,
	3		5

how many more gallons of water are needed to fill both tanks to capacity?

a.319 gallons

b.593 gallons

c.642 gallons

d.658 gallons

284.At a party there are 3 large pizzas. Each pizza has been cut into 9 equal pieces. Eight-ninths

2

of the first pizza have been eaten; of the sec-

3

7

ond pizza have been eaten; of the third pizza

9

have been eaten. What fraction of the 3 pizzas is left?

2

a.

9

2

b.

7

1

c.

3

1

d.

6

285.If it takes four firefighters 1 hour and 45 minutes to perform a particular job, how long would it take one firefighter working at the

same rate to perform the same task alone?

1

a. 4 hours

2

b.5 hours

c.7 hours

1

d. 7 hours

2

5

286. Joel can change one light bulb in minute.

6

Working at that same rate, how many minutes

would it take him to change five light bulbs?

1

a. 4 minutes

6

1

b. 4 minutes

3

2

c. 4 minutes

3

1

d. 5 minutes

6

287. Ryan has two bags of jelly beans. One weighs

10	1	ounces; the other weighs 9	1	ounces. If
	4		8

Ryan puts the two bags together and then divides all of the jelly beans into 5 equal parts to give to his friends, how many ounces will

each friend get?

3

a. 3 ounces

4

7

b. 3 ounces

8

c. 4 ounces

1

d. 4 ounces

4

288.At a certain school, half the students are female and one-twelfth of the students are from outside the state. What proportion of the students would you expect to be females from outside

the state?

1

a.

12

1

b.

24

1

c.

6

1

d.

3

41

–FRACTIONS–

Set 19 (Answers begin on page 175.)

1

289. How many minutes are in 7 hours?

6

a.258 minutes

b.430 minutes

c.2,580 minutes

d.4,300 minutes

290.One lap on a particular outdoor track measures a quarter of a mile around. To run a total of three and a half miles, how many complete laps must a person run?

a.14 laps

b.18 laps

c.7 laps

d.10 laps

291.During the month of June, Bus #B-461 used

the following amounts of oil:

1

June 1—3 quarts

2

3

June 19—2 quarts

4

June 30—4 quarts

What is the total number of quarts used in June?

3

a. 9 quarts

4

b. 10 quarts

1

c. 10 quarts

4

1

d. 10 quarts

2

1

292. How many ounces are in 9 pounds?

2

a.192 ounces

b.182 ounces

c.152 ounces

d.132 ounces

293.Crystal’s yearly income is $25,000, and the cost of her rent for the year is $7,500. What fraction

of her yearly income does she spend on rent?

1

a.

4

3

b.

10

2

c.

5

2

d.

7

294. Julie counts the cars passing her house, and finds that 2 of every 5 cars are foreign. If she counts for an hour, and 60 cars pass, how many of them are likely to be domestic?

a. 12 cars b. 24 cars c. 30 cars d. 36 cars

1

295. A recipe calls for 1 cups of flour. If Larry

4

1

wants to make 2 times the recipe, how much

2

flour does he need?

3

a. 2 cups

4

1

b. 3 cups

8

1

c. 3 cups

4

5

d. 3 cups

8

296.An auditorium that holds 350 people currently has 150 seated in it. What part of the audito-

rium is full?

1

a.

4

1

b.

3

3

c.

7

3

d.

5

42

–FRACTIONS–

297. Third grade student Stephanie Wink goes to the school nurse’s office, where her temperature is found to be 98 degrees Fahrenheit. What is her

temperature in degrees Celsius? C = 5 (F − 32)

9

a.35.8°C

b.36.7°C

c.37.6°C

d.31.1°C

298.The temperature recorded at 8 A.M. is 30°C. What is the equivalent of this temperature in

9

degrees Fahrenheit? F = C + 32

5

a.59

b.62

c.86

d.95

299.If Tory donates $210.00 to charitable organiza-

1

tions each year and of that amount goes to

3

the local crisis center, how much of her yearly donation does the crisis center get?

a.$33.00

b.$45.50

c.$60.33

d.$70.00

5

300. A construction job calls for 2 tons of sand.

6

3

Four trucks, each filled with tons of sand,

4

arrive on the job. Is there enough sand, or is

there too much sand for the job?

1

a. There is not enough sand; ton more is

6

needed.

1

b. There is not enough sand; ton more is

3

needed.

1

c. There is ton more sand than is needed.

3

1

d. There is ton more sand than is needed.

6

301. A safety box has three layers of metal, each

1

with a different width. If one layer is inch

8

1

thick, a second layer is inch thick, and the

6

3

total thickness is inch thick, what is the width

4

of the third layer?

5

a. inch

12

11

b. inch

24

7

c. inch

18

1

d. inch

2

Answer questions 302 and 303 using the following list of ingredients needed to make 16 brownies.

Deluxe Brownies

2

cup butter

3

5 squares (1 ounce each) unsweetened chocolate

1

1 cups sugar

2

2 teaspoons vanilla

2 eggs

1 cup flour

302.How many brownies can be made if the baker increases the recipe to include 1 cup of butter?

a.12 brownies

b.16 brownies

c.24 brownies

d.28 brownies

303.How much sugar is needed in a recipe that

makes 8 brownies?

3

a. cup

4

b. 3 cups

2

c. cup

3

5

d. cup

8

43

–FRACTIONS–

304.George cuts his birthday cake into 10 equal pieces. If 6 people eat a piece of George’s cake,

what fraction of the cake is left?

3

a.

5

3

b.

10

2

c.

5

5

d.

6

44

–FRACTIONS–

Set 20 (Answers begin on page 176.)

305.A certain congressional district has about 490,000 people living in it. The largest city in the area has 98,000 citizens. Which most accurately portrays the portion of the population

made up by the city in the district?

1

a.

5

1

b.

4

2

c.

9

3

d.

4

306. A bag of jellybeans contains 8 black beans, 10 green beans, 3 yellow beans, and 9 orange beans. What is the probability of selecting either a yellow or an orange bean?

1

a.

10

2

b.

5

4

c.

15

3

d.

10

307. Each piece of straight track for Ty’s electric

1

train set is 6 inches long. If 5 pieces of this

2

track are laid end to end, how long will the track be?

1

a. 30 inches

2

b. 32 inches

1

c. 32 inches

2

5

d. 32 inches

8

1

308. How many -pound hamburgers can be made

4

from 6 pounds of ground beef? a. 18 hamburgers

1

b. 20 hamburgers

2

c. 24 hamburgers

1

d. 26 hamburgers

4

4

309. Bart’s 8-ounce glass is full of water. How

5

many ounces of water does he have?

5

a. 4 ounces

8

b.5 ounces

c.6 ounces

2

d. 6 ounces

5

1

310. Barbara can walk 3 miles in one hour. At that

4

2

rate, how many miles will she walk in 1

3

hours?

5

a. 4 miles

8

11

b. 4 miles

12

5

c. 5 miles

12

d. 6 miles

1

311. Three friends evenly split 1 pounds of

8

peanuts. How many pounds will each person get?

1

a. pound

4

3

b. pound

8

1

c. pound

2

5

d. pound

8

1

312. Iris lives 2 miles due east of the Sunnydale

2

1

Mall and Raoul lives 4 miles due west of the

2

1

QuikMart, which is 1 miles due west of the

2

Sunnydale Mall. How far does Iris live from Raoul?

a.8 miles

b.8.5 miles

c.9 miles

d.9.5 miles

45

–FRACTIONS–

313. Ingrid’s kitchen is 9				3	feet long and 8	1	feet
				4		3
wide. How many square feet of tile does she
need to tile the floor?
a.	81	1	square feet
		4
b.	72	1	square feet
		4
c.	71	1	square feet
		2
d.	82	1	square feet
		2

1

314. How many inches are in 4 feet?

2

a.48 inches

b.54 inches

c.66 inches

d.70 inches

1

315. During the winter, Lucas missed 7 days of

2

kindergarten due to colds, while Brunhilda

1

missed only 4 days. How many fewer days did

4

Brunhilda miss than Lucas?

1

a. 3 days

4

1

b. 3 days

2

5

c. 3 days

6

d. 4 days

316.To reach his tree house, Raymond has to climb

9	1	feet up a rope ladder, then 8	5	feet up the
	3		6

tree-trunk. How far does Raymond have to climb altogether?

7

a. 17 feet

12

1

b. 17 feet

6

1

c. 18 feet

6

1

d. 18 feet

2

			3	pounds,
317. Ralph’s newborn triplets weigh 48
5	7
3 6	pounds, and 4 8 pounds. Harvey’s newborn
	2		3
twins weigh 7 6 pounds and 9 10 pounds.
Whose babies weigh the most and by how
much?
a.	Ralph’s triplets by 3	1	pounds
		2
b.	Ralph’s triplets by 2	1	pounds
		4
c.	Harvey’s twins by 1	2
		3 pounds
d.	Harvey’s twins by 3	11	pounds
		20

3

318. Sofia bought a pound of vegetables and used

8

of it to make a salad. How many ounces of vegetables are left after she makes the salad?

a.4

b.6

c.8

d.10

319.Dani spent $6,300 on a used car. She paid $630 as a down payment. What fraction of the orig-

inal cost was the down payment?

1

a.

10

1

b.

18

1

c.

20

1

d.

40

320. During an 8 hour work-day, Bob spends 2 hours on the phone. What fraction of the day does he spend on the phone?

1

a.

5

1

b.

3

1

c.

4

1

d.

8

46

S E C T I O N

3 Decimals

These 10 sets of problems will familiarize you with arithmetic operations involving decimals (which are a really special kind of fraction). You use decimals every day, in dealing with money, for example. Units of measurement, such as populations, kilometers, inches, or miles are also

often expressed in decimals. In this section you will get practice in working with mixed decimals, or numbers that have digits on both sides of a decimal point, and the important tool of rounding, the method for estimating decimals.

47

–DECIMALS–

Set 21 (Answers begin on page 178.)

321.56.73647 rounded to the nearest hundredth is equal to

a.100.

b.57.

c.56.7.

d.56.74.

327.426 − 7.2 =

a.354.0

b.425.28

c.418.8

d.41.88

328.6.35 × 5 =

a.31.75

b.30.75

322. Which number sentence is true?		c.	3.175
a.	0.43 < 0.043	d.	317.5
b.	0.0043 > 0.43
c.	0.00043 > 0.043	329. 5.9 − 4.166 =
d.	0.043 > 0.0043	a.	1.844
		b.	1.843
323. 78.09 + 19.367 =		c.	1.744
a.	58.723	d.	1.734
b.	87.357
c.	97.457	330. 172 × 0.56 =
d.	271.76	a.	9.632
		b.	96.32
324. 3.419 − 0.7 =		c.	963.2
a.	34.12	d.	0.9632
b.	0.2719
c.	2.719	331. 0.63 × 0.42 =
d.	0.3412	a.	26.46
		b.	2.646
325. 2.9 ÷ 0.8758 =		c.	0.2646
a.	3.31	d.	0.02646
b.	0.331
c.	0.302	332. What is six and five hundredths written as a
d.	0.0302	decimal?
		a.	0.065
326. 195.6 ÷ 7.2, rounded to the nearest hundredth,		b.	6.5
is equal to		c.	6.05
a.	271.67.	d.	6.005

b.27.17.

c.27.16.

d.2.717.

48

–DECIMALS–

333. In the following decimal, which digit is in the		335. Which of these has a 9 in the thousandths
hundredths place? 0.9402		place?
a.	9	a.	3.0095
b.	0	b.	3.0905
c.	2	c.	3.9005
d.	4	d.	3.0059
334. What is 0.716 rounded to the nearest tenth?		336. 4.5 2.5 =
a.	0.7	a.	20.0
b.	0.8	b.	2.0
c.	0.72	c.	1.8
d.	1.00	d.	0.2

49

–DECIMALS–

	Set 22 (Answers begin on page 178.)		343. What is another way to write 2.75 × 1002?
			a.	275
	337. 0.216 + 9.3 + 72.0 =		b.	2,750
	a.	81.516	c.	27,500
	b.	77.516	d.	270,000
	c.	16.716
	d.	0.381	344. 3.16 ÷ 0.079 =
			a.	0.025
	338. 0.49 × 0.07 =		b.	2.5
	a.	34.3	c.	4.0
	b.	0.0343	d.	40.0
	c.	3.43
	d.	0.343	345. 367.08 × 0.15 =
			a.	22.0248
	339. 945.6 ÷ 24 =		b.	55.051
	a.	3,940	c.	55.062
	b.	394	d.	540.62
	c.	39.4
	d.	3.946	346. What is another way to write 7.25 × 103?
			a.	72.5
	340. 72.687 + 145.29 =		b.	725
	a.	87.216	c.	7,250
	b.	217.977	d.	72,500
	c.	217.877
	d.	882.16	347. (4.1 × 10−2)(3.8 × 104) =
			a.	1.558 × 10−8
	341. 0.088 + 0.091 =		b.	15.58 × 10−2
	a.	0.017	c.	1.558 × 102
	b.	0.169	d.	1.558 × 103
	c.	0.177	6.5 × 10−6
	d.	0.179
			348. 3.25 × 10−3 =
			a.	2 × 10−9
	342. 3.6 − 1.89 =		b.	2 × 10−3
	a.	1.47	c.	2 × 102
	b.	1.53	d.	2 × 103

c.1.71

d.2.42

50