1001_Math_Problems__LearningExpress_

–MISCELLANEOUS MATH–

Set 9 (Answers begin on page 165.)

129.Emilio is 1 year 7 months old and Brooke is 2 years 8 months old. How much older is Brooke than Emilio?

a.1 year 1 month

b.2 years

c.1 month

d.1 year 2 months

130.5th graders Kara and Rani both have lemonade stands. Kara sells her lemonade at 5 cents a glass and Rani sells hers at 7 cents a glass. Kara sold 17 glasses of lemonade today and Rani sold 14 glasses. Who made the most money and by what amount?

a.Kara, 13 cents

b.Rani, 13 cents

c.Kara, 85 cents

d.Rani, 98 cents

131.A train travels 300 miles in 6 hours. If it was traveling at a constant speed the entire time, what was the speed of the train?

a.50 miles per hour

b.60 miles per hour

c.180 miles per hour

d.1800 miles per hour

132.If Rita can run around the block 5 times in 20 minutes, how many times can she run around the block in one hour?

a.10

b.15

c.50

d.100

133.Which of the following number sentences is true?

a.4 feet > 3 feet

b.7 feet < 6 feet

c.5 feet > 6 feet

d.3 feet < 2 feet

134.Which of the following is a prime number?

a.6

b.9

c.11

d.27

135.Which of the following is a translation of the following sentence? Salwa (S) is ten years older than Roland (R).

a.10 + S = R

b.S + R = 10

c.R − 10 = S

d.S = R + 10

136.How many ways can four students line up in a line, if the order matters?

a.4

b.8

c.16

d.24

137.At the movies, Lucinda bought food for herself and her friend Rae, including: 1 box of popcorn to share at $5 a box, 1 box of Junior Mints for each of them at $2 a box, and 1 soft drink for each at $3 apiece. Rae bought a ticket for each at $7 apiece. Who spent the most money and by how much?

a.Rae by $3

b.Rae by $7

c.Lucinda by $1

d.Lucinda by $2

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–MISCELLANEOUS MATH–

138.One colony of bats consumes 36 tons of mosquitoes per year. At that rate, how many pounds of mosquitoes does the same colony consume in a month?

a.36,000 pounds

b.12,000 pounds

c.6,000 pounds

d.3,000 pounds

139.Which of the following answer choices is equivalent to 104?

a.10 × 10 × 10 × 10

b.10 × 4

c.(10 + 4) × 10

d.10 + 4

140.How many acres are contained in a parcel 121 feet wide and 240 yards deep? (1 acre = 43,560 square feet)

a.1 acre

1

b. 1 acres

2

c. 2 acres

1

d. 2 acres

2

141.Land consisting of a quarter section is sold for $1,850 per acre (1 quarter section = 160 acres). The total sale price is

a.$296,000

b.$592,000

c.$1,184,000

d.$1,850,000

142.The planet Pluto is estimated at a mean distance of 3,666 million miles from the sun. The planet Mars is estimated at a mean distance of 36 million miles from the sun. How much closer to the sun is Mars than Pluto?

a.36,300,000 million miles

b.36,300 million miles

c.3,630 million miles

d.363 million miles

143.A rectangular tract of land measures 860 feet by 560 feet. Approximately how many acres is this? (1 acre = 43,560 square feet)

a.12.8 acres

b.11.05 acres

c.10.5 acres

d.8.06 acres

144.A dormitory now houses 30 men and allows 42 square feet of space per man. If five more men are put into this dormitory, how much less space will each man have?

a.5 square feet

b.6 square feet

c.7 square feet

d.8 square feet

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–MISCELLANEOUS MATH–

Set 10 (Answers begin on page 166.)

145.On a particular morning the temperature went up 1 degree every 2 hours. If the temperature was 53 degrees at 5 A.M., at what time was it 57 degrees?

a.7 A.M.

b.8 A.M.

c.12 P.M.

d.1 P.M.

1

146. What is the value of 16 ?

2

a.2

b.4

c.8

d.32

147.What is the median of the following group of numbers? 14 12 20 22 14 16

a.12

b.14

c.15

d.16

148.16 2 – 4 2 =

a.12

b.12 2

c.12 – 2

d.20

149.Which of the following is equivalent to 20?

a.2 5

b.4 5

c.10 2

d.20

150.Which of the following numbers is divisible by 6?

a.232

b.341

c.546

d.903

151.Which of the following best represents the following statement? Patricia (P) has four times the number of marbles Sean (S) has.

a.P = S + 4

b.S = P – 4

c.P = 4S

d.S = 4P

152.Write ten thousand four hundred forty-seven in numerals.

a.10,499,047

b.104,447

c.10,447

d.1,047

153.Write ten million forty-three thousand seven hundred and three in numerals.

a.143,703

b.1,043,703

c.10,043,703

d.10,430,703

154.John has started an egg farm. His chickens produce 480 eggs per day, and his eggs sell for $2.00 a dozen. How much does John make on eggs per week? (1 week = 7 days)

a.$480

b.$500

c.$560

d.$600

23

–MISCELLANEOUS MATH–

155.What is the value of 5-2?

a.–10

b.–25

1

c.

10

1

d.

25

156. | 4 – 15 | =

a. –11 b. 11 c. –19 d. 19

Use the following table to answer question 157.

PRODUCTION OF FARM-IT TRACTORS

FOR THE MONTH OF APRIL

Factory	April Output
Dallas	450
Houston	425
Lubbock
Amarillo	345
TOTAL	1780

157.What was Lubbock’s production in the month of April?

a.345

b.415

c.540

d.560

158.Fifty-four students are to be separated into six groups of equal size. How many students are in each group?

a.8 students

b.9 students

c.10 students

d.12 students

Use the following table to answer question 159.

STEVE’S BIRD-WATCHING PROJECT

Day	Number of Raptors Seen
Monday
Tuesday	7
Wednesday	12
Thursday	11
Friday	4
MEAN	8

159.The table above shows the data Steve collected while watching birds for one week. How many raptors did Steve see on Monday?

a.6 raptors

b.7 raptors

c.8 raptors

d.10 raptors

Use the following table to answer question 160.

DISTANCE TRAVELED FROM CHICAGO WITH RESPECT TO TIME

Time (hours)	Distance from
	Chicago (miles)
1	60
2	120
3	180
4	240

160. A train moving at a constant speed leaves Chicago for Los Angeles at time t = 0. If Los Angeles is 2,000 miles from Chicago, which of the following equations describes the distance

(D) from Los Angeles at any time t?

a.D(t ) = 60t − 2000

b.D(t ) = 60t

c.D(t ) = 2000 − 60t

d.D(t ) = 2000 + 60t

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S E C T I O N

2 Fractions

The following 10 sets of fraction problems will provide you with exercises in how to convert fractions and how to do arithmetic problems that involve fractions. (Sections 3 and 4 deal with decimals and percentages, which are also actually fractions, but are called something else for

clarity.) In order to understand arithmetic, it is important to practice and become comfortable with fractions and how they work.

You will start off with questions that just deal with numbers. After you’ve had a chance to practice your basic fraction skills, you can move on to some word problems involving fractions.

25

–FRACTIONS–

Set 11 (Answers begin on page 168.)

161.Name the fraction that indicates the shaded part of the figure below.

1

a. 4

1

b. 2

2

c. 3

3

d. 4

162. Name the fraction that indicates the shaded part of the figure below.

2

a.

5

3

b.

5

5

c.

3

5

d.

2

163. Which of the following represents the fraction

24

in lowest terms?

30

12

a.

15

2

b.

3

4

c.

5

5

d.

6

164. Express the fraction					72	in lowest terms.
					96
	a.		2
			3
	b.		3
			4
	c.		7
			8
	d.		7
			9
165.	7	−	3	=
	8		8
	a.		1
			4
	b.		5
			8
	c.		1
			2
	d.		11
			4

166.	1	+	7		+	2	=
	6		12			3
	a.		5
			12
	b.		2	1
				6
	c.		1	5
				6
	d.		1	5
				12

11

167.2 + 3 + 1 =

44

1

a. 5

4

1

b. 6

8

1

c. 6

4

1

d. 6

2

168.4 7 − 3 1 =

10 10

	a.			3
				5
	b.		1			1
						2
	c.		1			3
						5
	d.		1			3
						10
169.	1			3		=
	3 ×			4
	a.			1
				4
	b.			3
				7
	c.			1
				3
	d.				1
				12
170.	5	−				3	=
	12					8
	a.				1
				10
	b.				1
				24
	c.				5
				48
	d.			19
				24
171.	56	3			−		10	5	=
		8						6
	a.		46				1
							7
	b.		46				13
							14
	c.		45				1
							3
	d.		45				13
							24

26

–FRACTIONS–

172. −		3		÷ −		1	=	175.	7		3
		10				5			8 −		5 =
	a.		1	1							11
									a.
				2
	b.		2								40
												1
									b.		1
			3									3
	c.			3							1
			−						c.
				50
	d.		3								10
												19
			50						d.		1
												40
173. 40 ÷				1	=				3				2
				2				176.		+ –1				=
				2					4 5				5
	a.
			4						a.		3	1
												5
	b.
			16						b.		4
	c.		80
									c.		3	1
												2
	d.
			100						d.		5	1
												5
174.	1	÷	2
	3		7 =
	a.		2	4
				5
	b.		1	1
				6
	c.		2	1
				7
	d.		1	1
				5

27

–FRACTIONS–

Set 12 (Answers begin on page 169.)

15

177.76 + 11 =

26

1

a. 87 2

1

b. 88 3

5

c. 88 6

1

d. 89 6

178.	20	5	− 15	1	=
		7		7

2

a. 5

7

3

b. 5 7

4

c. 5 7

6

d. 5 7

179.	43		2		+ 36		3	=
			3				9
	a.			100
	b.			90
	c.			80
	d.			70
180.	5	−			1	=
	8				3
	a.				1
				3
					4
	b.				1
					6
	c.				2
				3
					5
	d.				7
					24
181.	6	+			4	=
	7				5
	a.				25
					44
	b.				35
					49
	c.				14
					33
	d.				58
					35
182.	3	×			7	=
	7				3
	a.				1
				1 3
	b.			1
	c.				1
					7
	d.				1
					21

183. −		1		÷ −			1	=
		4					8
	a.			−	1
					2
	b.			1
				2
	c.			2
	d.			−2
184.	3		×		4	=
	3 4				5
	a.			3
				4
	b.			3

3

c. 3

4

11

d. 4

16

185.	5
	8 ÷ 3 =
	a.	5
		24
	b.	3
		8
	c.	7
		1
		8
	d.	1
		8
186.	1	÷ 2	4	=
	2 4		7
	a.	9
		14
	b.	7
		8
	c.	2
		1
		7
	d.	11
		5
		14
187.	3	4	×		1	=
	10	× 5			2
	a.	3
		4
	b.	12
		25
	c.	13
		27
	d.	3
		25
188.	1	÷ 1	5		=
	1 2		13
	a.	3
		1
		10
	b.	1
		1
		12
	c.	1
		2
		13
	d.	9
		3
		10

28

–FRACTIONS–

189.	1		1	× 1	4	=	191.	1		2	=
	2 3	× 1 14			5			2 4	÷ 3
			7					a.		8
	a.
			1							27
			18					b.		1
			1
	b.									1
			2							2
			2					c.		3
			6
	c.									3
			3							8
			7					d.		1
			1
	d.									3
			4							2
			2
190.	2		3				192.	2		5	=
	5 ×		7 =					3 ÷		12
	a.		6					a.		3
										1
			35							5
	b.		14					b.		5
										1
			15							18
	c.		5					c.		7
										1
			12							36
	d.		29					d.		5
										1
			35							6

29

–FRACTIONS–

Set 13 (Answers begin on page 170.)

193. 4 × 1 =

3

1

a. 1

3

1

b. 1

2

1

c. 2

4

3

d. 2

4

194. 6 × 2 =

3

1

a.

9

2

b.

3

2

c. 2

3

d. 4

195.	1	÷ 2	4	=
	4		7

2

a.

7

7

b.

72

2

c. 1

7

9

d.

14

196.	5	÷	1		=
	2 8		3
	a.	8	1
			3
	b.	7	7
			8
	c.	5	11
			24
	d.	7
		8
197.	1	÷	2		1	=
	1 2				4
	a.	2
		3
	b.	1	1
			2
	c.	2	3
			8
	d.	2	1
			8
198.	1	×	5		1	×	3	=
	2 3				2		11
	a.	3	1
			2
	b.	7	1
			2
	c.	10			1
					22
	d.	10			1
					6

199.	7	3	÷	1	=
		5		4

2

a. 24

7

3

b. 27

8

2

c. 30

5

1

d. 33

2

200.	3	×	1			1	=
	4					6
	a.		1		1
					7
	b.		1		1
					8
	c.		7
			8
	d.		2			1
					10
201. −		5	−				1	=
		3					3
	a.		4
			3
	b.		−		4
					3
	c.		2
	d.		−2
202.	7	×	1			=
	8		4
	a.		4		1
					2
	b.		7
			32
	c.		3		1
					8
	d.		2
			7
203. 7 ÷			3			=
			8
	a.		18				2
							3
	b.		12				3
							8
	c.		14				5
							6
	d.		10				4
							5

204.	2	−	1	=
	6 9		6
	a.	6	1
			18
	b.	6	5
			27
	c.	6	1
			3
	d.	5	8
			9

30