1.
Luis has 19 soft drink cans. His coolers each have space for 6 cans. How many coolers can he fill completely?
Correct Answer
A. 3
Explanation
Luis has 19 soft drink cans and each cooler can hold 6 cans. To find out how many coolers Luis can fill completely, we divide the total number of cans by the capacity of each cooler. In this case, 19 divided by 6 equals 3 with a remainder of 1. Since we are looking for the number of coolers that can be filled completely, the answer is 3.
2.
Which of these numbers is a commom factor of 18 and 24?
Correct Answer
A. 3
Explanation
The number 3 is a common factor of 18 and 24 because it can evenly divide both numbers without leaving a remainder. 3 is a factor of 18 because 18 divided by 3 equals 6, and it is a factor of 24 because 24 divided by 3 equals 8. Therefore, 3 is the correct answer.
3.
Which number is a multiple of 7?
Correct Answer
B. 28
Explanation
28 is a multiple of 7 because it can be divided evenly by 7. When 28 is divided by 7, the result is 4, with no remainder. This means that 28 is divisible by 7, making it a multiple of 7.
4.
Which number goes in the blanks to make both numbers sentences true?
11 - __ = 7
7 + __ =11
Correct Answer
A. 4
Explanation
In the first number sentence, 11 minus 4 equals 7. In the second number sentence, 7 plus 4 equals 11. Therefore, the number that goes in the blanks to make both number sentences true is 4.
5.
Lee has finished reading 4 out of 10 lessons from his assignment. Which fractional part of the lessons has he completed?
Correct Answer
D. 2/5
Explanation
Lee has finished reading 4 out of 10 lessons from his assignment. To find the fractional part of the lessons he has completed, we need to divide the number of lessons completed (4) by the total number of lessons (10). This can be written as 4/10, which simplifies to 2/5. Therefore, Lee has completed 2/5 or two-fifths of the lessons.
6.
Which number goes in the box on the number line?
Correct Answer
B. 91
Explanation
The number 91 goes in the box on the number line because it is the number that falls between 89 and 93.
7.
Marty needs to pack 32 glasses. Each box holds 6 glasses. How many boxes will be completely full?
Correct Answer
B. 5
Explanation
To find the number of boxes that will be completely full, we need to divide the total number of glasses by the capacity of each box. In this case, 32 glasses divided by 6 glasses per box equals 5. Therefore, 5 boxes will be completely full.
8.
The cost of carrots per pound is
Correct Answer
C. 59 cents
Explanation
The correct answer is 59 cents. This is the only option that is in cents, while the other options are in dollars.
9.
The cost of tomatoes per pound is
Correct Answer
D. 72 cents
Explanation
The given answer, 72 cents, is the cost of tomatoes per pound.
10.
Lynn had 12 stamps, but she used 3 of them to mail letters. Which expression shows how many stamps she still has?
Correct Answer
C. 12 - 3
Explanation
Lynn started with 12 stamps and used 3 of them to mail letters. To find out how many stamps she still has, we need to subtract the number of stamps she used from the total number of stamps she had. Therefore, the expression 12 - 3 represents the number of stamps Lynn still has.
11.
LaTina is saving $60 a month for a vacation. She needs to save $540 dollars. How long will it take her to save enough for her vacation?
Correct Answer
B. 9 months
Explanation
LaTina is saving $60 a month for her vacation and she needs to save $540. To find out how long it will take her to save enough, we can divide the total amount needed by the amount she saves per month. $540 divided by $60 equals 9. Therefore, it will take her 9 months to save enough for her vacation.
12.
Anna saves $75 every month. How much will she save in 16 months?
Correct Answer
D. $1,200
Explanation
Anna saves $75 every month. To find out how much she will save in 16 months, we can multiply her monthly savings by the number of months. So, $75 multiplied by 16 equals $1,200. Therefore, Anna will save $1,200 in 16 months.
13.
Ron wrote a check $37.80. Before he wrote the check, his balance was $137.75. What is his new balance?
Correct Answer
C. 99.95
Explanation
After writing the check for $37.80, Ron's balance will decrease by that amount. Therefore, his new balance will be $137.75 - $37.80 = $99.95.
14.
Ella spends $50 a month for her cell phone. How much does she pay for her cell phone in a year?
Correct Answer
B. $600
Explanation
Ella spends $50 a month for her cell phone. To find out how much she pays for her cell phone in a year, we need to multiply the monthly cost by the number of months in a year. So, $50 multiplied by 12 (months) equals $600.
15.
Which of these decimals when rounded to the nearest whole number is 54?
Correct Answer
C. 53.85
Explanation
When rounded to the nearest whole number, the decimal 53.85 becomes 54. Therefore, 53.85 is the correct answer.
16.
A dozen pens costs $5.99. About how much does one pen cost?
Correct Answer
A. $0.50
Explanation
The total cost of a dozen pens is $5.99. To find the cost of one pen, we need to divide the total cost by the number of pens in a dozen, which is 12. So, $5.99 divided by 12 is equal to $0.50. Therefore, one pen costs $0.50.
17.
Which of these is the best estimate for the width of a piece of paper?
Correct Answer
B. 25 centimeters
Explanation
A piece of paper is typically around 21.59 cm wide, which is slightly smaller than the standard size of 8.5 x 11 inches. Among the given options, 25 centimeters is the closest estimate to the actual width of a piece of paper.
18.
Jason's average hits per game for the last three months are: 3.6, 4.5, and 6.2. What are his averages, rounded to the nearest whole number?
Correct Answer
C. 4, 5, and 6
Explanation
Jason's average hits per game for the last three months are 3.6, 4.5, and 6.2. To round these numbers to the nearest whole number, we round 3.6 down to 4, 4.5 up to 5, and 6.2 down to 6. Therefore, Jason's averages, rounded to the nearest whole number, are 4, 5, and 6.
19.
Anya spent $32 of the $63 she received for her birthday. She spent about
Correct Answer
C. 1/2 of the amount
Explanation
Anya spent $32 out of the $63 she received for her birthday. To find out what fraction of the amount she spent, we can divide the amount she spent ($32) by the total amount she received ($63). This gives us 32/63, which simplifies to 16/31. However, none of the given options match this fraction. Therefore, we need to approximate the fraction that is closest to 16/31. The closest option is 1/2 of the amount.
20.
Which of these measurements is about the same as 100 inches? (Hint: 1 in = 2.54 cm)
Correct Answer
B. 250 centimeters
Explanation
100 inches is about the same as 250 centimeters. This can be calculated by converting inches to centimeters using the given conversion factor of 1 inch = 2.54 cm. Therefore, 100 inches would be equal to 100 * 2.54 = 254 centimeters. Since 254 centimeters is the closest measurement to 250 centimeters, it can be concluded that 250 centimeters is about the same as 100 inches.
21.
What temperature does the thermometer show?
Correct Answer
A. 24 degrees
Explanation
The thermometer shows a temperature of 24 degrees.
22.
What temperature does the thermometer show?
Correct Answer
C. 88 degrees
Explanation
The thermometer shows a temperature of 88 degrees.
23.
Which of these measures is closest to length of your thumb?
Correct Answer
C. 7 centimeters
Explanation
The length of the thumb is usually around 7 centimeters. This is the closest measurement option given in the choices. A centimeter is a metric unit of length, and it is smaller than an inch. Therefore, 7 centimeters is a more accurate approximation of the length of a thumb compared to the other options provided.
24.
An airplane is scheduled to leave one city at 10:35 a.m. and arrive at another city at 12:15p.m. How long is the scheduled flight?
Correct Answer
B. 1 hour and 40 minutes
Explanation
The scheduled flight is 1 hour and 40 minutes because the time difference between the departure and arrival is 1 hour and 40 minutes.
25.
Rick decided to run in a marathon, which is slighty more than 26 miles long. About how many kilometers will he run? (Hint: 1 mi = 1.6 km)
Correct Answer
C. 41 kilometers
Explanation
Rick is running in a marathon, which is slightly more than 26 miles long. To convert miles to kilometers, we use the conversion rate of 1 mile = 1.6 kilometers. Since Rick is running slightly more than 26 miles, we can estimate that he will run slightly more than 26 multiplied by 1.6 kilometers. This calculation gives us approximately 41 kilometers. Therefore, Rick will run approximately 41 kilometers in the marathon.
26.
Which of the following figures are simular to the figure in the box?
Correct Answer
D. Figures 1 and 4
Explanation
Figures 1 and 4 are similar because they both have the same shape and orientation. They both have three sides and are oriented in the same direction. Figures 2 and 3 do not have the same shape or orientation as the figure in the box. Therefore, the correct answer is figures 1 and 4.
27.
Which of these solid figures is not named correctly?
Correct Answer
D. Cone
Explanation
The given question asks to identify the solid figure that is not named correctly. Out of the options provided, a "cone" is the only solid figure that is named correctly. A cone is a three-dimensional geometric shape that has a circular base and a pointed apex. Therefore, the answer is cone.
28.
Which of these figures shows a line of symmertry?
Correct Answer
A. 1
Explanation
Figure 1 shows a line of symmetry because it can be divided into two equal halves that are mirror images of each other. The line of symmetry in this figure is vertical, dividing the figure into two identical halves. In contrast, figures 2, 3, and 4 do not have a line of symmetry as they cannot be divided into two equal halves that are mirror images of each other.
29.
Which line creates a line of symmetry in this triangle?
Correct Answer
D. Line D
Explanation
Line D creates a line of symmetry in the triangle. A line of symmetry is a line that divides a shape into two identical halves. Line D passes through the midpoint of the base of the triangle and is perpendicular to the base. When the triangle is folded along line D, the two resulting halves will perfectly overlap each other. Therefore, line D is the correct answer for creating a line of symmetry in this triangle.
30.
Which of these measurements is equal to the perimeter of the box around the circle?
Correct Answer
C. 4 feet
Explanation
The perimeter of a circle is equal to the circumference, which is the distance around the circle. The formula to calculate the circumference is 2πr, where r is the radius of the circle. In this case, since we are talking about a box around the circle, the perimeter would be equal to the circumference plus the sum of the lengths of the sides of the box. Therefore, the measurement that is equal to the perimeter of the box around the circle is 4 feet.
31.
Which two parts of the circle are congruent?
Correct Answer
D. Parts C and D
Explanation
The parts of a circle that are congruent are those that have equal measurements or dimensions. In this case, parts C and D are congruent because they have the same measurement or dimension.
32.
According to the graph, how many slices of wheat toast can Jim eat and only consume 270 calories?
Correct Answer
B. 3
Explanation
Based on the graph, the x-axis represents the number of slices of wheat toast and the y-axis represents the number of calories consumed. By locating the point on the graph where the y-axis intersects with the value of 270 calories, we can determine the corresponding number of slices of wheat toast on the x-axis. In this case, the point intersects at 3 slices of wheat toast, indicating that Jim can eat 3 slices and consume only 270 calories.
33.
Suppose Jim had wanted a dessert with 520 calories, but he didn't want to add any more calories to his diet. What two items should he not eat?
Correct Answer
C. Spaghetti and toast
Explanation
Jim wanted a dessert with 520 calories but didn't want to add any more calories to his diet. The two items he should not eat are spaghetti and toast. This is because spaghetti and toast are likely to have a higher calorie content compared to the other options.
34.
Which two players had the same average score?
Correct Answer
D. Players 1 and 5
Explanation
The given answer suggests that Players 1 and 5 had the same average score. This means that the average score of Player 1 is equal to the average score of Player 5.
35.
The difference between average scores is greatest between which two players?
Correct Answer
C. Players 3 and 4
Explanation
The difference between average scores is greatest between Players 3 and 4. This means that the average score of Player 3 is significantly different from the average score of Player 4. It implies that these two players have the largest variation in their scores compared to the other players.
36.
Shamika agrees to pick up relatives in Oakton and Scottsville. What is the distance from Harrisburg to Bloomington when driving through Oakton and Scottsville?
Correct Answer
D. 775 miles
Explanation
The question states that Shamika agrees to pick up relatives in Oakton and Scottsville. It then asks for the distance from Harrisburg to Bloomington when driving through Oakton and Scottsville. Since no other information is given, we can assume that the distance from Harrisburg to Bloomington includes the distance from Harrisburg to Oakton, the distance from Oakton to Scottsville, and the distance from Scottsville to Bloomington. Therefore, the correct answer is 775 miles.
37.
From Bloomington, Shamika and her relatives want to take a trip to Springfield. If she drives from Bloomington to Springfield, drops off her relatives in Oakton and Scottsville and returns to Harrisburg, how many miles will she travel going home?
Correct Answer
D. 970
Explanation
Shamika will travel a total of 970 miles going home. She will drive from Bloomington to Springfield, which is one trip. Then she will drop off her relatives in Oakton and Scottsville, which adds to the total distance. Finally, she will return to Harrisburg, which adds more miles to the total.
38.
Jay's monthly payment for a new car would be about 1/2 of his repair expenses from January to April. Which of these could be the amount of Jay's monthly payment for a new car?
Correct Answer
A. $250.00
Explanation
Jay's repair expenses from January to April are twice the amount of his monthly payment for a new car. Therefore, if his monthly payment is $250.00, his repair expenses from January to April would be $500.00. This satisfies the condition given in the question that his repair expenses are 2 times his monthly payment.
39.
Tim's test scores were 85, 90, 93, and 88. What was his average score?
Correct Answer
C. 89
Explanation
Tim's average score can be calculated by adding up all his test scores and dividing the sum by the total number of tests. In this case, his test scores are 85, 90, 93, and 88. Adding them up gives a total of 356. Dividing 356 by 4 (since there are 4 test scores) gives an average of 89. Therefore, Tim's average score is 89.
40.
A bag contains 5 red marbles, 5 green marbles, and 10 yellow marbles. If you draw a marble at random, what is the probability that it will be red?
Correct Answer
C. 25%
Explanation
The probability of drawing a red marble can be calculated by dividing the number of red marbles (5) by the total number of marbles in the bag (20). Therefore, the probability is 5/20, which simplifies to 1/4 or 25%.
41.
What is the mean of numbers 20, 25, and 30?
Correct Answer
B. 25
Explanation
The mean of a set of numbers is calculated by adding up all the numbers and then dividing the sum by the total number of values. In this case, the sum of 20, 25, and 30 is 75. Dividing 75 by 3 (since there are 3 numbers) gives us 25, which is the mean of the given numbers.
42.
A bus company records how many people ride a particualar bus each day. The number of riders was 22, 20, 30, 14, and 24. What was the mean numbers of riders?
Correct Answer
B. 22
Explanation
The mean is calculated by adding up all the numbers and then dividing the sum by the total number of values. In this case, we add up 22, 20, 30, 14, and 24, which gives us a sum of 110. Since there are 5 values, we divide the sum by 5 to get the mean, which is 22.
43.
Which two figures are missing from this pattern?
Correct Answer
B. Triangle, circle
Explanation
The pattern in the given figures is that each figure alternates between a circle and a triangle. The first figure is a circle, followed by a triangle, then a circle again. Therefore, the missing figures should continue this pattern. The correct answer is triangle, circle.
44.
What number is missing from this number pattern?5, 1, 10, 2, 20, 4, __ , 8, 80
Correct Answer
C. 40
Explanation
The number pattern follows a sequence where each number is obtained by multiplying the previous number by 2. Starting with 5, the next number is obtained by multiplying 5 by 2, which is 10. Following the same pattern, the next number is obtained by multiplying 10 by 2, which is 20. Continuing this pattern, the missing number can be obtained by multiplying 20 by 2, resulting in 40.
45.
Adriana brought 3 bags of dog food for each of her 3 dogs. Each bag will provide 8 bowls of food. How many bowls of food does Adriana have for her dogs?
Correct Answer
D. 72
Explanation
Adriana has 3 bags of dog food, and each bag provides 8 bowls of food. To find the total number of bowls of food, we multiply the number of bags (3) by the number of bowls each bag provides (8). Therefore, Adriana has a total of 3 * 8 = 24 bowls of food for her dogs.
46.
Solve the equation for y: y × 8 = 48
Correct Answer
A. Y = 6
Explanation
To solve the equation y × 8 = 48, we need to isolate y. We can do this by dividing both sides of the equation by 8. This gives us y = 48/8, which simplifies to y = 6. Therefore, the correct answer is y = 6.
47.
Your checking account balance was $1,614. After you wrote checks for $515, $85, and $112, you calculated a balance of $902. Using estimation, find which of the following best describes your result.
Correct Answer
A. Correct result
Explanation
The correct result means that the calculated balance of $902 matches the actual balance after deducting the amounts written on the checks. This suggests that the estimation was accurate and there were no errors in the calculations.
48.
A traffic engineer counts the vehicles passing an intersection during a four hour period. The hourly counts were 195, 98, 206, abd 480 vehicles. He reported a total count of 1,079 vechicles. Use estimation to evaluate his result.
Correct Answer
C. Result too low
Explanation
The traffic engineer reported a total count of 1,079 vehicles, but the sum of the hourly counts is only 979 vehicles. Therefore, the reported result is too low.
49.
An elephant in a zoo eats about 200 pounds of food every day.About 1/5 of that food is fresh vegetables. Keepers need to decide how many pounds of fresh vegetables they need to order each day to feed all of their elephants. Which of the following describes the information you have to solve this problem?
Correct Answer
B. Missing information
Explanation
The question provides information about the daily food consumption of an elephant in a zoo, but it does not mention the total number of elephants in the zoo. In order to calculate the number of pounds of fresh vegetables needed to feed all the elephants, we need to know the total number of elephants in the zoo. Therefore, the missing information is the total number of elephants in the zoo.
50.
How many even numbers great than zero are there that are less than 31 and divisible by 5?
Correct Answer
C. 3
Explanation
There are three even numbers greater than zero, less than 31, and divisible by 5. These numbers are 10, 20, and 30.