This quiz tests 6th graders on multiplication, exponents, fractions, simple algebra, factors, multiples, geometry, and probability. Each question includes an explanation to help students understand the concepts.
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1 What is 35 x 12?
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370
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420
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450
Correct!Wrong!To multiply 35 by 12, you can break it down as follows: 35×12=35×(10+2)=350+70=42035 times 12 = 35 times (10 + 2) = 350 + 70 = 42035×12=35×(10+2)=350+70=420.
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2 What is the value of 5²?
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10
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15
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25
Correct!Wrong!5² means 5 multiplied by itself: 5×5=25
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3 Simplify the fraction 18/24.
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1/2
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3/4
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2/3
Correct!Wrong!Explanation:** Both 18 and 24 can be divided by 6: 18÷6=3 18 ÷ 6 = 3 18÷6=3 and 24÷6=4 24 ÷ 6 = 4 24÷6=4, so 18/24 1 simplifies to 3/4 .”
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4 Solve for x: 4x + 7 = 31.
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4
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5
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6
Correct!Wrong!Subtract 7 from both sides to get 4x=24 . Then, divide both sides by 4 to get x=6.
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5 What is the greatest common factor (GCF) of 24 and 36?
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6
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8
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12
Correct!Wrong!The GCF of 24 and 36 is 12 because 12 is the largest number that divides both 24 and 36 without leaving a remainder.
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6 What is the least common multiple (LCM) of 4 and 5?
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10
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15
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20
Correct!Wrong!The LCM of 4 and 5 is 20 because 20 is the smallest number that both 4 and 5 divide into evenly.
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7 If the perimeter of a square is 36 cm, what is the length of one side?
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6 cm
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7 cm
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9 cm
Correct!Wrong!The perimeter of a square is calculated by multiplying the length of one side by 4. 36÷4=9 cm.
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8 Convert 3/8 into a decimal.
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0.125
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0.25
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0.375
Correct!Wrong!To convert a fraction to a decimal, divide the numerator by the denominator: 3÷8=0.375.
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