Fractions
Which comparison is true?
A) 1/5 < 2/4
B) 2/3 < 1/2
C) 1/4 < 2/10
D) 1/3 < 2/7
A) 1/5 < 2/4
Which list shows these distances in order from greatest to least?
A) 1.46 m 1.5 m 1.4 m 1.63 m
B) 1.63 m 1.46 m 1.5 m 1.4 m
C) 1.4 m 1.46 m 1.5 m 1.63 m
D) 1.63 m 1.5 m 1.46 m 1.4 m
D) 1.63 m 1.5 m 1.46 m 1.4 m
Which statement about the number 726,483.19 is true?
F) The digit 9 has a value of (9 × 100).
G) The digit 4 has a value of (4 × 100).
H) The digit 8 has a value of (8 × 0.1).
J) The digit 2 has a value of (2 × 10)
G) The digit 4 has a value of (4 × 100).
Mark had 45 football cards. Josh had twice as many football cards as Mark. Josh then bought 5 more football cards. Which equation can be used to find f, the number of football cards Josh has now?
A) 2 × 45 + 5 = f
B) 2 × 45 ? 5 = f
C) 2 + 45 × 5 = f
D) 2 + 45 + 5 = f
A) 2 × 45 + 5 = f
A season pass at a water park costs $100. A total of 125 people paid for a season pass. What was the total cost of these season passes?
A) $225
B) $12,500
C) $12,005
D) $1,250
B) $12,500
The model below is shaded to represent 1 1/10.
Which decimal does the model represent?
A) 1.1
B) 11.0
C) 1.01
D) 10.1
A) 1.1
Which list shows these decimal numbers in order from least to greatest?
A) 0.53 0.41 0.48 0.56
B) 0.41 0.48 0.53 0.56
C) 0.56 0.53 0.48 0.41
D) 0.41 0.53 0.56 0.48
B) 0.41 0.48 0.53 0.56
A total of 7,093,502 people watched a soccer game on television. Which of the following has the same value as 7,093,502?
F) 7,000,000 + + 900,000 30,000 + 5,000 + 200
G) 7,000,000 + + 90,000 3,000 + 50 + 2
H) 7,000,000 + + 900,000 3,000 + 500 + 2
J) 7,000,000 + + 90,000 3,000 + 500 + 2
J) 7,000,000 + + 90,000 3,000 + 500 + 2
Terrell spent $306 on a television and 3 video games. He spent $243 on the television. Each video game was the same price. How much did Terrell spend on each video game?
A) $21, because 306 − 243 = 63 and 63 ÷ = 3 21
B) $1,647, because 306 + = 243 549 and 549 × = 3 1,647
C) $183, because 306 + = 243 549 and 549 ÷ = 3 183
D) $189, because 306 − 243 = 63 and 63 × = 3 189
A) $21, because 306 − 243 = 63 and 63 ÷ = 3 21
Nathan washes 26 cars each day he works at a car wash. He worked 34 days during the summer. About how many cars did Nathan wash during these 34 days?
A) 900
B) 600
C) 1,800
D) 1,200
A) 900
Which equation shows an equivalent decimal and fraction?
F) 12.09 = 12 9/10
G) 12.09 = 12 9/100
H) 12.90 = 12 1/90
J) 12.90 = 12 90/10
G) 12.09 = 12 9/100
Jana bought 1 hat and 2 skirts. The hat cost $28.53, and the skirts cost $15.88 each.
What was the total cost in dollars and cents of the items Jana bought?
$60.29
In 2008 the total number of cell phone users in Indonesia was about 140,578,000. Which expression has the same value as 140,578,000?
F) 100,000,000 + 40,000,000 + 5,000,000 + 700,000 + 80,000
G) 100,000,000 + 40,000,000 + 500,000 + 70,000 + 8,000
H) 10,000,000 + 4,000,000 + 500,000 + 70,000 + 8,000
J) 100,000,000 + 40,000,000 + 500 + 70 + 8
G) 100,000,000 + 40,000,000 + 500,000 + 70,000 + 8,000
Isabel has 745 strawberries. She separated the strawberries into 5 equal groups. How many strawberries are in 2 of the groups?
F) 202, because 745 ÷ = 5 101 and 101 × 2 = 202
G) 282, because 745 ÷ = 5 141 and 141 × 2 = 282
H) 298, because 745 ÷ = 5 149 and 149 × 2 = 298
J) 290, because 745 ÷ = 5 145 and 145 × 2 = 290
H) 298, because 745 ÷ = 5 149 and 149 × 2 = 298
Oscar used a total of 315 blocks to make 5 towers. He used an equal number of blocks to make each tower. How many blocks did Oscar use to make each tower?
A) 65
B) 63
C) 61
D) 79
B) 63
In science class Douglas measured the mass of a rock in kilograms. The mass of the rock was 0.26 kg. Which fraction is equivalent to this number?
F) 26/100
G) 26/10
H) 2 6/100
J) 2 1/6
F) 26/100
Zoey sold snacks at a neighborhood pool. The cost of preparing the snacks was $10.29. The money she received from the sale of the snacks was $21.75.
What was Zoey’s profit?
A) $32.04
B) $21.75
C) $11.46
D) $10.29
C) $11.46
Quinlyn described a number using these clues.
• The value of the digit 7 is (7 × 10).
• The value of the digit 3 is (3 × 1,000).
• The value of the digit 1 is (1 × 100).
Which number could fit Quinlyn’s description?
A) 3,175.02
B) 93,075.01
C) 3,651.70
D) 9,372.01
A) 3,175.02
It took Ian three years to collect 25,413 aluminum cans to recycle. In the first year he collected 8,917 cans, and in the second year he collected 7,639 cans.
Which equation can be used to find x, the number of cans Ian collected in the third year?
A) x = 25,413 - 8,917 - 7,639
B) x = 25,413 + 8,917 + 7,639
C) x = 8,917 + 7,639
D) x = 8,917 - 7,639
A) x = 25,413 - 8,917 - 7,639
The list below shows the number of picture frames Shelly sold on each day of an art sale.
• She sold 16 picture frames on Thursday.
• She sold 22 picture frames on Friday.
• She sold 25 picture frames on Saturday.
The cost of each picture frame was $14. What was the total cost of these picture frames in dollars?
$882
Which statement correctly compares these two fractions?
A) 5/6 > 6/12
B) 5/6 = 6/12
C) 5/6 < 6/12
D) None of these
A) 5/6 > 6/12
Gwen bought an old table. She repaired it and painted it so that it looked new. Then she sold the table. Gwen made this list about what she did.
• Price paid for old table: $10.00
• Cost to repair: $5.00
• Cost to paint: $7.50
• Selling price: $50.00
What was Gwen’s profit from selling the table?
A) $27.50
B) $50.00
C) $22.50
D) $40.00
A) $27.50
The number 47.06 can be expressed as —
A) (4 × 10) + (7 × 1) + (6 × 0.01)
B) (4 × 10) + (7 × 1) + (6 × 0.1)
C) (4 × 1) + (7 × 1) + (0 × 1) + (6 × 1)
D) (4 × 10) + (7 × 1) + (0 × 10) + (6 × 100)
A) (4 × 10) + (7 × 1) + (6 × 0.01)
Each Saturday Mr. Franklin teaches 3 piano lessons at his music school and 4 piano lessons in students’ homes.
• For each lesson at his music school, he charges $15.
• For each lesson in a student’s home, he charges $20.
Which set of equations can be used to find m, the amount of money in dollars Mr. Franklin earns from piano lessons each Saturday?
F) 15 × 4 = 60
20 × 3 = 60
60 + 60 = m
G) 15 ÷ 3 = 5
20 ÷ 4 = 5
5 + 5 = m
H) 15 × 3 = 45
20 × 4 = 80
80 - 45 = m
J) 15 × 3 = 45
20 × 4 = 80
45 + 80 = m
J) 15 × 3 = 45
20 × 4 = 80
45 + 80 = m
Inez is 12 years younger than Raúl. Raúl is 6 years older than Kaylee. Kaylee is twice as old as Henry. Henry is 5 years old. What is the combined age of these four people?
F) 35 years
G) 59 years
H) 45 years
J) 26 years
F) 35 years