1.
What is another way to write two thousand seven hundred nine?
Correct Answer
B. 2,709
Explanation
The correct answer is 2,709 because it is the correct way to write the number two thousand seven hundred nine in standard form.
2.
Which is the same as 3 thousands?
Correct Answer
D. 30 hundreds
Explanation
The same as 3 thousands is 30 hundreds because 30 hundreds is equal to 3,000.
3.
There are 8 chairs at each table in the cafeteria. There are 96 chairs in all. Which number sentence can be used to find the number of tables in the cafeteria?
Correct Answer
D. 96 / 8 = __
Explanation
The number sentence 96 / 8 = __ can be used to find the number of tables in the cafeteria. Since there are 8 chairs at each table and a total of 96 chairs, dividing 96 by 8 will give the number of tables.
4.
On Saturday, there were 3,271 people at the baseball game. On Sunday, 5,844 people came to the game. What was the total number of people at the two games?
Correct Answer
D. 9,115
Explanation
The total number of people at the two games can be found by adding the number of people at the Saturday game (3,271) to the number of people at the Sunday game (5,844). Therefore, the total number of people at the two games is 3,271 + 5,844 = 9,115.
5.
Paul has $0.50. Pencils cost $0.07 each. What is the greatest number of pencils Paul can buy?
Correct Answer
B. 7
Explanation
Paul has $0.50 and each pencil costs $0.07. To find the greatest number of pencils Paul can buy, we divide the amount of money he has by the cost of each pencil: $0.50 / $0.07 = 7.14. Since Paul cannot buy a fraction of a pencil, the greatest number of pencils he can buy is 7.
6.
By how much would the value of 6,509 change if the digit 6 were replaced with the digit 4?
Correct Answer(s)
B. 4
C. 2,000
Explanation
If the digit 6 is replaced with the digit 4 in the number 6,509, the value of the number would change by 2,000.
7.
There are a total of 200 goldfish in 10 fish tanks at a pet store. Each fish tank has the same number of goldfish. How many goldfish are there in each tank?
Correct Answer
B. 20
Explanation
Since there are a total of 200 goldfish in 10 fish tanks, we can divide the total number of goldfish by the number of tanks to find out how many goldfish are in each tank. 200 divided by 10 equals 20. Therefore, there are 20 goldfish in each tank.
8.
There were 237 people who went to a theater. Of those people, 127 arrived early and 68 arrived on time. The rest of the people arrived late. How many people arrived late?
Correct Answer
A. 42
Explanation
To find the number of people who arrived late, we need to subtract the number of people who arrived early and on time from the total number of people. Therefore, the number of people who arrived late is 237 - 127 - 68 = 42.
9.
A machine in a candy factory can wrap 74 lollipops in 1 minute. How many lollipops can the machine wrap in 6 minutes?
Correct Answer
C. 444
Explanation
The machine can wrap 74 lollipops in 1 minute. To find out how many lollipops it can wrap in 6 minutes, we can multiply 74 by 6. This gives us 444, so the machine can wrap 444 lollipops in 6 minutes.
10.
If 468 / 26 = 18, which equation must also be true?
Correct Answer
C. 18 x 26 = 468
Explanation
The equation 18 x 26 = 468 must also be true because it follows the same pattern as the given equation 468 / 26 = 18. In both equations, one number is divided/multiplied by the other number to give the result of 18/468. Therefore, the equation 18 x 26 = 468 is consistent with the given information.
11.
Lisa drew a horse on a sheet of paper, 8 in. wide and 11 in. long. She needs to find the perimeter of the sheet of paper in order to make a frame kit for it. What is the perimeter of the sheet of paper?
Correct Answer
C. 38 inches
Explanation
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the length of the rectangle is 11 inches and the width is 8 inches. To find the perimeter, we add twice the length to twice the width: (2 Ã— 11) + (2 Ã— 8) = 22 + 16 = 38 inches.
12.
Aseem wrote the number sentence shown below.__ > 10 + 14What number belongs in the box to make the number sentence true?
Correct Answer
D. 28
Explanation
The number sentence is asking for a number that, when added to 10, equals 14. The only number that satisfies this condition is 4. However, none of the options given is 4. Therefore, the answer is not available.
13.
Ms. Peters bought 32 calculators for her class. Each calculator cost $18. Which is the best estimate of the total cost of the calculators?
Correct Answer
C. $600
Explanation
The best estimate of the total cost of the calculators can be found by multiplying the number of calculators (32) by the cost of each calculator ($18). This gives us a total cost of $576. Since $600 is the closest option to $576, it is the best estimate of the total cost of the calculators.
14.
Mr. Collins chopped 18 logs. He chopped each log into 6 pieces of firewood. How many pieces of firewood did Mr. Collins chop?
Correct Answer
D. 108
Explanation
Mr. Collins chopped 18 logs and each log was chopped into 6 pieces of firewood. To find the total number of pieces of firewood, we can multiply the number of logs (18) by the number of pieces per log (6). Therefore, Mr. Collins chopped a total of 108 pieces of firewood.
15.
Which statement is correct?
Correct Answer
A. (4 x 6) x 3 = 4 x (6 x 3)
Explanation
The statement (4 x 6) x 3 = 4 x (6 x 3) is correct because it follows the associative property of multiplication. According to this property, the grouping of numbers being multiplied does not affect the final product. In this case, both sides of the equation result in the same calculation: multiplying 4 by 6, and then multiplying the result by 3.
16.
Janice is bringing 6 boxes of cookies to a party. The table below shows the total cost of cookies based on the number of boxes of cookies bought.Number of Boxes Total Cost2 $5.003 $7.504 $10.00If the pattern continues, how much will it cost for Janice to buy 6 boxes of cookies?
Correct Answer
C. $15.00
Explanation
The pattern in the table shows that the cost of cookies increases by $2.50 for each additional box. Therefore, to find the cost of 6 boxes, we can add $2.50 for each additional box beyond 4. Since there are 2 additional boxes (6-4=2), the cost would be $10.00 + ($2.50 * 2) = $15.00.
17.
At 3:30 P.M., Ms. Salino began to cook some chili. She cooked the chili until 5:00 P.M. How long did Ms. Salino cook the chili?
Correct Answer
B. 1 hour, 30 minutes
Explanation
Ms. Salino began cooking the chili at 3:30 P.M. and cooked it until 5:00 P.M. This means she cooked the chili for a total of 1 hour and 30 minutes.
18.
On Monday it started to rain at 1:30 P.M. It stopped raining 2 hours 30 minutes later. What time did it stop raining?
Correct Answer
C. 4:00 P.M.
Explanation
The rain started at 1:30 P.M. and stopped 2 hours and 30 minutes later. To find the stopping time, we add 2 hours and 30 minutes to the starting time. 1:30 P.M. + 2 hours = 3:30 P.M. Then, adding the additional 30 minutes, we get 3:30 P.M. + 30 minutes = 4:00 P.M. Therefore, the rain stopped at 4:00 P.M.
19.
Which measurement is most likely the width of a sheet of notebook paper?
Correct Answer
B. 8 inches
Explanation
The most likely measurement for the width of a sheet of notebook paper is 8 inches. This is because inches are commonly used to measure smaller objects like paper, while kilometers, meters, and yards are used for larger distances.
20.
Daniel, Kayla and Shakira each ordered the same size pizza. The table below shows what fraction of their pizza each student ate.Students Fraction of Pizza EatenDaniel 1/4Kayla 1/2Shakira 1/3Which group of fractions shows the amounts of pizza eaten in order from least to greatest?
Correct Answer
A. 1/4 1/3 1/2
Explanation
The group of fractions that shows the amounts of pizza eaten in order from least to greatest is 1/4, 1/3, 1/2. This is because Daniel ate 1/4 of the pizza, Shakira ate 1/3 of the pizza, and Kayla ate 1/2 of the pizza. Therefore, the fractions are arranged in ascending order based on the amount of pizza eaten.
21.
Which unit of measure is best for measuring the amount of water a bottlecap can hold?
Correct Answer
D. Milliliter
Explanation
Milliliter is the best unit of measure for measuring the amount of water a bottlecap can hold because it is a smaller unit of volume that is commonly used to measure liquids. A bottlecap typically holds a small amount of water, and milliliter is a more precise and appropriate unit for such measurements compared to centimeter, kilogram, or liter.
22.
Which unit of measure is best for measuring how much a bicycle weighs?
Correct Answer
D. Kilogram
Explanation
The kilogram is the best unit of measure for measuring how much a bicycle weighs because it is a commonly used unit for measuring weight. It is a larger unit than a gram or an ounce, making it more suitable for measuring the weight of larger objects like bicycles. The liter, on the other hand, is a unit of volume and not weight, so it is not appropriate for measuring weight.
23.
Which combination of numbers always results in an odd number?
Correct Answer
A. Odd x odd
Explanation
Multiplying two odd numbers will always result in an odd number. This is because when we multiply two odd numbers, each odd number can be expressed as 2n+1, where n is an integer. When we multiply (2n+1) by (2m+1), we get 4nm + 2n + 2m + 1, which can be simplified to 2(2nm+n+m) + 1. Since 2(2nm+n+m) is an even number, adding 1 to it will always result in an odd number. Therefore, the combination odd x odd always results in an odd number.