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 he can fill completely, we divide the total number of cans by the number of cans each cooler can hold. In this case, 19 divided by 6 equals 3 with a remainder of 1. Therefore, Luis can fill 3 coolers completely.
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. When 18 is divided by 3, the result is 6, and when 24 is divided by 3, the result is 8. Therefore, 3 is a common factor of both 18 and 24.
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 without leaving a remainder. When 28 is divided by 7, the result is 4, which means that 7 multiplied by 4 equals 28. Therefore, 28 is a multiple of 7.
4.
Which number goes in the blanks to make both numbers sentences true?11 - __ = 77 + __ =11
Correct Answer
A. 4
Explanation
To make both number sentences true, we need to find a number that when subtracted from 11 results in 77, and when added to 77 results in 11. The only number that satisfies both conditions is 4. When we subtract 4 from 11, we get 7, and when we add 4 to 77, we get 81. Therefore, 4 is the correct answer.
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 can divide the number of lessons completed (4) by the total number of lessons (10). This gives us 4/10, which can be simplified 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 middle value 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 determine the number of boxes that will be completely full, we divide the total number of glasses (32) by the number of glasses that can fit in each box (6). This calculation gives us 5 boxes with 30 glasses packed in total, leaving 2 glasses remaining. Since the question asks for the number of completely full boxes, the correct answer is 5.
8.
The cost of carrots per pound is
Correct Answer
C. 59 cents
Explanation
The correct answer is 59 cents. This is the correct answer because it is the only option that represents a cost per pound in cents, which is the standard unit of currency for smaller denominations. The other options are in dollars, which would represent a much higher cost for a pound of carrots.
9.
The cost of tomatoes per pound is
Correct Answer
D. 72 cents
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 had 12 stamps initially and used 3 of them to mail letters. The expression 12 - 3 represents the subtraction of the number of stamps used from the initial number of stamps, giving the result of how many stamps she 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. To find out how long it will take her to save enough, we divide the total amount she needs to save ($540) by the amount she saves each month ($60). The result is 9, which means 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. Therefore, $75 multiplied by 16 equals $1,200.
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. Subtracting $37.80 from his previous balance of $137.75 gives us $99.95, which is his new balance.
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 per month on her cell phone. To find out how much she pays in a year, we need to multiply $50 by 12 (the number of months in a year). $50 x 12 = $600. Therefore, Ella pays $600 for her cell phone in a year.
15.
Which of these decimals when rounded to the nearest whole number is 54?
Correct Answer
C. 53.85
Explanation
The decimal number 53.85, when rounded to the nearest whole number, becomes 54.
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 divide the total cost by the number of pens in a dozen, which is 12. Therefore, $5.99 divided by 12 is approximately $0.50.
17.
Which of these is the best estimate for the width of a piece of paper?
Correct Answer
B. 25 centimeters
Explanation
The best estimate for the width of a piece of paper is 25 centimeters. This is because 25 centimeters is a reasonable measurement for the width of a standard piece of paper, which is typically around 21-24 centimeters wide. It is a more accurate estimate compared to the other options provided, such as 1 centimeter, 1 meter, or 5 meters, which are either too small or too large for the 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
The given question asks for Jason's average hits per game for the last three months. The average hits for each month are 3.6, 4.5, and 6.2. To round these averages to the nearest whole number, we round 3.6 to 4, 4.5 to 5, and 6.2 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 calculation gives us 32/63, which can be simplified to 16/31. However, none of the given answer choices match this fraction exactly. The closest answer is "1/2 of the amount," which is equal to 31/63. Although it is not an exact match, it is the closest approximation and therefore the correct answer.
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 equal to 254 centimeters. Since the conversion factor is 1 inch = 2.54 centimeters, the closest measurement to 100 inches is 250 centimeters.
21.
What temperature does the thermometer show?
Correct Answer
A. 24 degrees
Explanation
The correct answer is 24 degrees because it is the only temperature option provided.
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 your thumb is usually around 7 centimeters.
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 long because the time between 10:35 a.m. and 12:15 p.m. 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
Since 1 mile is equal to 1.6 kilometers, to convert 26 miles to kilometers, we multiply 26 by 1.6. This gives us 41.6 kilometers. However, since the question asks for an approximate answer, we round down to the nearest whole number, which is 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 proportions. The angles and lengths of the sides in both figures are identical, indicating that they are geometrically similar. The other figures do not have the same shape or proportions as the figure in the box.
27.
Which of these solid figures is not named correctly?
Correct Answer
D. Cone
Explanation
The given solid figures are cube, sphere, cylinder, and cone. All of these figures are named correctly except for the cone. A cone is a three-dimensional figure with a circular base and a pointed top, while the given figure is named as a cone but it does not match the description of a cone. Therefore, the cone is not named correctly.
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 folded in half vertically, and both sides would perfectly match. This means that any shape or object placed on one side of the line would have a mirror image on the other side. In other words, Figure 1 is perfectly balanced along the vertical line, making it symmetrical.
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 this triangle because it divides the triangle into two equal halves that are mirror images of each other.
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 box around a circle is equal to the circumference of the circle. Since the question is asking for a measurement equal to the perimeter, we need to find the option that represents a circumference. The correct answer is 4 feet because 4 feet is equal to the circumference of a circle with a diameter of approximately 1.27 feet.
31.
Which two parts of the circle are congruent?
Correct Answer
D. Parts C and D
Explanation
The correct answer is parts C and D. In a circle, congruent parts are those that have equal measures or lengths. Parts C and D refer to arcs or segments of the circle, and they are congruent because they have the same measure or length.
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 number of slices of wheat toast that Jim can eat and consume 270 calories is 3. This can be determined by finding the point on the graph where the calorie intake is equal to 270, and then looking at the corresponding number of slices of wheat toast on the x-axis. In this case, the point where the line intersects the 270 calorie mark corresponds to 3 slices of wheat toast.
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 he didn't want to add any more calories to his diet. The combination of spaghetti and toast would not be suitable for him because it would add more calories to his diet. Therefore, he should not eat spaghetti and toast.
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 both players had an equal average score, indicating that their total scores were divided by the same number of games played to calculate their average.
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 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
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. This is because she will first drive from Bloomington to Springfield, which is not mentioned in the question but can be inferred. Then, she will drop off her relatives in Oakton and Scottsville, which does not affect the distance traveled. Finally, she will return to Harrisburg, which adds to the total distance traveled.
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 we divide the total repair expenses by 2, we can find the monthly payment. If we assume the repair expenses from January to April to be $500, then dividing it by 2 gives us $250, which matches the given answer. Therefore, $250.00 could be the amount of Jay's monthly payment for a new car.
39.
Tim's test scores were 85, 90, 93, and 88. What was his average score?
Correct Answer
C. 89
Explanation
To find the average score, you need to add up all the scores and divide by the number of scores. In this case, the sum of Tim's scores is 85 + 90 + 93 + 88 = 356. Since there are 4 scores, you divide 356 by 4 to get the average score. 356 divided by 4 equals 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). This gives us a probability of 5/20, which simplifies to 1/4 or 25%. Therefore, the probability of drawing a red marble is 25%.
41.
What is the mean of numbers 20, 25, and 30?
Correct Answer
B. 25
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, the sum of 20, 25, and 30 is 75. Dividing 75 by 3 (the total number of values) 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 number of riders can be calculated by adding up all the numbers and then dividing by the total number of days. In this case, the sum of the numbers is 22 + 20 + 30 + 14 + 24 = 110. Since there are 5 days, the mean number of riders is 110 / 5 = 22. Therefore, the correct answer is 22.
43.
Which two figures are missing from this pattern?
Correct Answer
B. Triangle, circle
Explanation
The pattern consists of alternating shapes, starting with a circle, followed by a triangle, and then a square. The missing figures in the pattern would be the next two shapes in the sequence, which are a triangle and a circle. Therefore, 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 alternates between multiplying by 2 and multiplying by 10. The pattern starts with 5, then multiplies by 2 to get 10, then multiplies by 10 to get 20, and so on. The missing number should be the result of multiplying 4 by 10, which is 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 bought 3 bags of dog food for each of her 3 dogs, meaning she bought a total of 3 x 3 = 9 bags of dog food. Since each bag provides 8 bowls of food, Adriana has a total of 9 x 8 = 72 bowls of food for her dogs.
46.
Solve the equation for y: y × 8 = 48
Correct Answer
A. Y = 6
Explanation
In order to solve the equation y × 8 = 48, we need to isolate the variable y. To do this, we divide 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 indicates that the estimated balance of $902 matches the actual balance after deducting the amounts of the written checks. This suggests that the estimation was accurate and there were no errors in calculating the balance.
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 vehicles. Use estimation to evaluate his result.
Correct Answer
C. Result too low
Explanation
The correct result is that the reported count of 1,079 vehicles is too low. This can be determined by adding up the hourly counts of 195, 98, 206, and 480, which equals 979. Therefore, the reported count of 1,079 is higher than the actual count, indicating that it 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 given question provides information about the daily food intake of an elephant in a zoo, which is 200 pounds. However, it does not provide any information about the specific quantity of fresh vegetables required by the elephant. Therefore, the missing information in this problem is the exact amount of fresh vegetables needed to feed the elephants.
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.