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6th Grade Mathematics Diagnostic Test

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  • What is the prime factorization of 84?
    2×3×7
    3×3×7
    2×2×3×5
    2×2×3×7
  • What is the place value of the digit 7 in the number 4,782,309?
    Thousands
    Ten thousands
    Hundred thousands
    Millions
  • Which of these expressions uses the associative law of multiplication?
    (2×3)×4=2×(3×4)
    2+3=3+2
    (2+3)+4=2+(3+4)
    5×(2+1)=(5×2)+(5×1)
  • The perimeter of a rectangle is 54 cm and its length is 16 cm. What is its width?
    13 cm
    10 cm
    11 cm
    12 cm
  • What is the value of 4^3?
    64
    81
    12
    16
  • Which of the following quadrilaterals always has all sides of equal length and all angles equal?
    Rhombus
    Square
    Rectangle
    Parallelogram
  • Which number is NOT a multiple of 18?
    54
    108
    170
    126
  • Which of the following correctly compares the numbers 456,789 and 465,789?
    Cannot be compared
    456,789 < 465,789
    456,789 > 465,789
    456,789 = 465,789
  • Which expression shows the use of the distributive law?
    8+(5+3)=(8+5)+3
    3×7=7×3
    6×(4+2)=(6×4)+(6×2)
    12-7=7-12
  • What is the highest common factor (HCF) of 36 and 60?
    12
    6
    24
    18
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