4th Grade Benchmark Cluster

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4th Grade Benchmark Cluster - Quiz

This is a test that should be used to decide weather to move your 4th grader into 5th grade math or not. If he or she passes this test, you should ask to move your child up to 5th grade math. If he or she fails, keep them at 4th grade math! They need more practice! Passing is a 75/100 just in case you were wondering. This test can also be used for extra practice on 6th or 7th grade work.


Questions and Answers
  • 1. 

    What quantity does not have the same value as the other three?

    • A.

      3 less than 18

    • B.

      9 less than 24

    • C.

      8 greater than 7

    • D.

      11 greater than 6

    Correct Answer
    D. 11 greater than 6
    Explanation
    The given question asks which quantity does not have the same value as the other three. Looking at the options, "11 greater than 6" stands out as different because it compares two numbers using the phrase "greater than," while the other options use the phrases "less than" or "greater than." Therefore, "11 greater than 6" does not have the same value as the other three options.

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  • 2. 

    What is the expanded notation for 3,056?

    • A.

      3,000+5+6

    • B.

      3,000+50+6

    • C.

      3,000+500+6

    • D.

      30,000+50+6

    Correct Answer
    B. 3,000+50+6
    Explanation
    The expanded notation for 3,056 is obtained by breaking down the number into its place values. In this case, we have 3 thousands, 50 tens, and 6 ones. Therefore, the expanded notation is 3,000+50+6.

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  • 3. 

    There are 26 letter tiles, one for each letter of the alphabet, in a bag. What is the probability of picking tile C?

    • A.

      1/26

    • B.

      3/26

    • C.

      1

    • D.

      3

    Correct Answer
    A. 1/26
    Explanation
    The probability of picking tile C is 1 out of 26 because there are 26 letter tiles in total, one for each letter of the alphabet. Since there is only one tile with the letter C, the probability of picking that specific tile is 1 out of the total 26 tiles.

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  • 4. 

    Which statement fits the equation?square - triangle = 3

    • A.

      Square = triangle

    • B.

      Triangle greater than square

    • C.

      Square greater than triangle

    • D.

      Square = triangle

    Correct Answer
    C. Square greater than triangle
    Explanation
    The equation "square - triangle = 3" implies that the value of the square is greater than the value of the triangle. This is because when we subtract a smaller number (triangle) from a larger number (square), the result is a positive number (3). Therefore, the statement "square greater than triangle" fits the equation.

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  • 5. 

    There were 827 gallons of water in Center City's water tank. The town used 287 gallons of water. Round to the nearest 100, then estimate how much water is left in the tank.

    • A.

      500 gallons

    • B.

      600 gallons

    • C.

      700 gallons

    • D.

      1,000 gallons

    Correct Answer
    A. 500 gallons
    Explanation
    After using 287 gallons of water, we need to round the remaining amount to the nearest 100. Since the number of gallons left is closer to 500 than to 600, we can estimate that there are approximately 500 gallons of water left in the tank.

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  • 6. 

    Janet wants to find the total weight of the recycled cans she has collected.The bags of cans weigh 24 3/4 pounds, 21 7/8 pounds, and 19 1/2 pounds. What is the total weight of the bags?

    • A.

      64 pounds

    • B.

      64 1/8 pounds

    • C.

      64 11/14 pounds

    • D.

      66 1/8 pounds

    Correct Answer
    D. 66 1/8 pounds
    Explanation
    The total weight of the bags can be found by adding the weights of each bag: 24 3/4 + 21 7/8 + 19 1/2 = 66 1/8 pounds.

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  • 7. 

    Which comparison is correct?

    • A.

      6 3/4 is greater than 7 1/2 is greater than 7 3/4

    • B.

      7 3/4 is greater than 7 1/2 is greater than 7 1/4

    • C.

      8 1/2 is greater than 8 1/4 is greater than 8 3/4

    • D.

      9 1/2 is greater than 9 3/4 is greater than 9 1/4

    Correct Answer
    B. 7 3/4 is greater than 7 1/2 is greater than 7 1/4
    Explanation
    The answer is correct because when comparing fractions, the larger the denominator, the smaller the fraction. In this case, 7 3/4 has a larger denominator than both 7 1/2 and 7 1/4, making it the smallest fraction among the three options. Therefore, the correct comparison is 7 3/4 is greater than 7 1/2 is greater than 7 1/4.

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  • 8. 

    A chalkboard eraser is most likely a _____ .

    • A.

      Cylinder

    • B.

      Cube

    • C.

      Rectangular prism

    • D.

      Triangluar prism

    Correct Answer
    C. Rectangular prism
    Explanation
    A chalkboard eraser is most likely a rectangular prism because it is commonly shaped like a rectangular block with flat sides and sharp edges. This shape allows for easy gripping and maneuvering while erasing the chalkboard. Additionally, the rectangular prism shape provides a large surface area for erasing and efficiently removing chalk dust from the board.

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  • 9. 

    Two friends are playing The Mystery Number Game. The clues for the numbers are:1. 60 is less than the mystery number.2. The mystery number is less than 100.Which statement below is true?

    • A.

      100 is the same as the mystery number

    • B.

      The mystery number is greater than 60

    • C.

      52 is greater than the mystery number

    • D.

      The mystery number is less than 59.

    Correct Answer
    B. The mystery number is greater than 60
    Explanation
    Based on the given clues, we know that the mystery number is less than 100 and that 60 is less than the mystery number. This means that the mystery number must be greater than 60, making the statement "The mystery number is greater than 60" true.

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  • 10. 

    Which object is about 9 cm long?

    • A.

      A stamp

    • B.

      A stepladder

    • C.

      A grain of sand

    • D.

      A crayon

    Correct Answer
    D. A crayon
    Explanation
    A crayon is about 9 cm long.

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  • 11. 

    If all morgs are red and have 3 eyes, and Trug is red with 2 eyes, which statement is true?

    • A.

      Morgs only have 2 eyes

    • B.

      Trug is a Morg

    • C.

      Trug is not a Morg

    • D.

      Morgs are green and have 2 eyes

    Correct Answer
    C. Trug is not a Morg
    Explanation
    Since all Morgs are red and have 3 eyes, and Trug is red with 2 eyes, it can be concluded that Trug does not meet the criteria to be a Morg. Therefore, the statement "Trug is not a Morg" is true.

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  • 12. 

    During the past 2 weeks, a total of 378 cartons of juice were sold in the school cafeteria. Each carton costs $.75. Which expression could be used to find the total cost of the juice that was sold?

    • A.

      2 + 378 + $.75

    • B.

      2 x 378 x $.75

    • C.

      378 / $.75

    • D.

      378 x $.75

    Correct Answer
    D. 378 x $.75
    Explanation
    The expression 378 x $.75 can be used to find the total cost of the juice that was sold. This expression represents multiplying the number of cartons sold (378) by the cost of each carton ($.75), which gives the total cost of the juice.

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  • 13. 

    What is 351.24 rounded to the nearest tenth?

    • A.

      350

    • B.

      351

    • C.

      351.2

    • D.

      351.3

    Correct Answer
    C. 351.2
    Explanation
    When rounding a number to the nearest tenth, we look at the digit in the hundredth place. In this case, the digit is 1. Since 1 is less than 5, we do not round up. Therefore, the tenths place remains the same, which is 2. The final rounded number is 351.2.

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  • 14. 

    Kareen put a fence around the perimeter of a baseball field. Which units are reasonable for measuring the perimeter?

    • A.

      Yards

    • B.

      Kilometers

    • C.

      Square feet

    • D.

      Square inches

    Correct Answer
    A. Yards
    Explanation
    The perimeter of a baseball field is the distance around its boundary. Yards are a reasonable unit for measuring the perimeter because they are commonly used to measure distances in outdoor spaces, such as sports fields. Kilometers would be too large of a unit for measuring the perimeter of a baseball field, while square feet and square inches are units used for measuring area, not distance.

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  • 15. 

    Bobby added 1 cup of cooking oil to 2 pints of cooking oil. How many cups of cooking oil did Bobby have altogether. (Hint: 1 pint = 2 cups.)

    • A.

      2

    • B.

      3

    • C.

      4

    • D.

      5

    Correct Answer
    D. 5
    Explanation
    Bobby added 1 cup of cooking oil to 2 pints of cooking oil. Since 1 pint is equal to 2 cups, Bobby had 4 cups of cooking oil from the 2 pints. Adding the additional 1 cup, Bobby had a total of 5 cups of cooking oil altogether.

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  • 16. 

    What is the standard form for 80,000,000 + 7,000,000 + 600,000 + 20,000 + 400 + 30 + 2?

    • A.

      8,762,432

    • B.

      80,762,432

    • C.

      87,620,432

    • D.

      80,760,020,432

    Correct Answer
    C. 87,620,432
    Explanation
    The standard form for the given expression is obtained by adding up the values in each place value column. Starting from the rightmost column, we add 2 + 30 + 400 + 20,000 + 600,000 + 7,000,000 + 80,000,000. This gives us a sum of 87,620,432.

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  • 17. 

    Rochelle bought 3 packs on gum for $.79 each and a pen for $2.49. She paid the clerk with a $5.00 bill. How much change did she get?

    • A.

      $.14

    • B.

      $1.72

    • C.

      $2.51

    • D.

      $4.86

    Correct Answer
    B. $1.72
    Explanation
    Rochelle bought 3 packs of gum for $.79 each, which totals to $2.37. She also bought a pen for $2.49. In total, she spent $4.86. She paid with a $5.00 bill, so the change she received would be $5.00 - $4.86 = $0.14. Therefore, the correct answer is $.14.

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  • 18. 

    After throwing a 6-sided cube with 5 sides colored red, blue, yellow, green, and black, the following results happened:Toss 1: blueToss 2: yellowToss 3: blueToss 4: redToss 5: greenToss 6: blueToss 7: black...What color is most likely to be on the 6th side?

    • A.

      Yellow

    • B.

      Red

    • C.

      White

    • D.

      Blue

    Correct Answer
    C. White
  • 19. 

    A number divisible by 2, 3, and 5 will always be divisible by _____________ .

    • A.

      20

    • B.

      30

    • C.

      60

    • D.

      90

    Correct Answer
    B. 30
    Explanation
    A number divisible by 2, 3, and 5 will always be divisible by 30. This is because 30 is the least common multiple of 2, 3, and 5. Therefore, any number that is divisible by all three of these factors will also be divisible by 30.

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  • 20. 

    A photographer used 32 rolls of film in 1 day. Each roll of film has 24 pictures. Which number sentence represents n, the total number of pictures in 1 day?

    • A.

      N = 32 + 24

    • B.

      N = 32 - 24

    • C.

      N = 32 x 24

    • D.

      N = 32 / 24

    Correct Answer
    C. N = 32 x 24
    Explanation
    The number sentence n = 32 x 24 represents the total number of pictures in 1 day. This is because there are 32 rolls of film and each roll has 24 pictures. By multiplying the number of rolls (32) by the number of pictures per roll (24), we can calculate the total number of pictures taken in 1 day.

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  • 21. 

    Amy rolls a cube with the numbers 0, 1, 2, 7, 8, and 9 on it.Curtis rolls a cube with the numbers 1, 2, 3, 4, 6, and 8 on it.The player who rolls a number less than 4 is the winner.Both players roll their cube.Which statement is true?

    • A.

      Curtis has a higher probability of winning.

    • B.

      Amy has a higher probabilty of winning.

    • C.

      Amy and Curtis have the same probability of winning.

    • D.

      There is not enough information given to answer the question.

    Correct Answer
    C. Amy and Curtis have the same probability of winning.
    Explanation
    Both Amy and Curtis have a total of 6 numbers on their respective cubes. Since the only requirement for winning is to roll a number less than 4, both players have an equal chance of winning. Therefore, Amy and Curtis have the same probability of winning.

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  • 22. 

    Bob has 32 cards, and Christina has double that. Kim has 18 cards less than Christina. Sally has 31 cards more than Bob.Who has the most cards?

    • A.

      Bob

    • B.

      Christina

    • C.

      Kim

    • D.

      Sally

    Correct Answer
    B. Christina
    Explanation
    Christina has the most cards because she has double the number of cards Bob has. Since Bob has 32 cards, Christina would have 32 * 2 = 64 cards. Kim has 18 cards less than Christina, so Kim would have 64 - 18 = 46 cards. Sally has 31 cards more than Bob, so Sally would have 32 + 31 = 63 cards. Therefore, Christina has the most cards with a total of 64 cards.

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  • 23. 

    There are 100 gumballs in a machine:30 red25 yellow20 green15 white10 blueWhat is the probability of getting a green gumball from the machine?

    • A.

      1/10

    • B.

      3/20

    • C.

      1/5

    • D.

      1/4

    Correct Answer
    C. 1/5
    Explanation
    The probability of getting a green gumball from the machine can be calculated by dividing the number of green gumballs (20) by the total number of gumballs (100). Therefore, the probability is 20/100, which simplifies to 1/5.

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  • 24. 

    The entrance to a building is 6 feet 8 inches high. A man is 5 foot 9 inches tall. His hat adds 5 inches to his total height. How much space is there between the top of his hat and the top of the entrance

    • A.

      6 inches

    • B.

      9 inches

    • C.

      1 foor 1 inch

    • D.

      6 feet 2 inches

    Correct Answer
    A. 6 inches
    Explanation
    The man's total height is 5 feet 9 inches + 5 inches (hat) = 6 feet 2 inches. The entrance is 6 feet 8 inches high. Therefore, the space between the top of his hat and the top of the entrance is 6 feet 8 inches - 6 feet 2 inches = 6 inches.

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  • 25. 

    It took 4 hrs and 35 minutes to cook a turkey. It took 1 hour and 18 minutes to cook soup. How much longer did it take to cook the turkey than the soup?

    • A.

      3 hours 17 minutes

    • B.

      3 hours 23 minutes

    • C.

      5 hours 17 minutes

    • D.

      5 hours 53 minutes

    Correct Answer
    A. 3 hours 17 minutes
    Explanation
    The turkey took 4 hours and 35 minutes to cook, while the soup took 1 hour and 18 minutes. To find out how much longer it took to cook the turkey than the soup, we subtract the time it took to cook the soup from the time it took to cook the turkey.

    4 hours and 35 minutes - 1 hour and 18 minutes = 3 hours and 17 minutes.

    Therefore, it took 3 hours and 17 minutes longer to cook the turkey than the soup.

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  • 26. 

    The numbers 2, 3, 4, and 6 are all factors of which number?

    • A.

      12

    • B.

      15

    • C.

      16

    • D.

      18

    Correct Answer
    A. 12
    Explanation
    The numbers 2, 3, 4, and 6 are all factors of 12 because they can all divide evenly into 12 without leaving a remainder.

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  • 27. 

    Jim volunteers at an animal shelter 3.5 hours a week. How many hours would Jim volunteer in 26 weeks?

    • A.

      78 hours

    • B.

      90 hours

    • C.

      91 hours

    • D.

      910 hours

    Correct Answer
    C. 91 hours
    Explanation
    If Jim volunteers at an animal shelter for 3.5 hours a week, we can calculate the total number of hours he would volunteer in 26 weeks by multiplying 3.5 by 26. This gives us 91 hours, which is the correct answer.

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  • 28. 

    When Jose goes to bed at 9:00 p.m., the temperature is 3 degrees Celcius. When he gets up in the morning he sees that the temperature has dropped 7 degrees. What is the temperature when he gets up in the morning?

    • A.

      - 10 degrees Celcius

    • B.

      - 4 degrees Celcius

    • C.

      4 degrees Celcius

    • D.

      10 degrees Celcius

    Correct Answer
    B. - 4 degrees Celcius
    Explanation
    The question states that the temperature drops by 7 degrees when Jose gets up in the morning. Since the initial temperature is 3 degrees Celsius, subtracting 7 degrees from it would result in a temperature of -4 degrees Celsius.

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  • 29. 

    Ali, Jeri, and KIm put $7.00 into a jar to start their car washing business.They used $6.19 of the money in the jar to buy 1 box of soap. How much money do they have left in the jar? Show and Explain all of your work.

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  • Dec 12, 2024
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