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Eighth Grade (Grade 8) Arithmetic and Number Concepts Questions

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Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8c
Kim is 3 times as old as her cousin. The total of their ages is 36 years. How old is Kim's cousin?
  1. 9 years old
  2. 12 years old
  3. 27 years old
  4. 33 years old
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
Solve the system.
y = 5x − 2
y = −3x + 6
  1. (2, 4)
  2. (1, 3)
  3. (2, 8)
  4. (4, 2)
Grade 8 Rational and Irrational Numbers CCSS: 8.EE.A.2
√2 is what type of number?
  1. Integer
  2. Irrational
  3. Rational
  4. Whole
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
π≥4
  1. True
  2. False
Grade 8 Scientific Notation CCSS: 8.EE.A.4
Write .0083 in scientific notation.
  1. 8.3×103
  2. 8.3×104
  3. 8.3×10-3
  4. 8.3
Grade 8 Scientific Notation CCSS: 8.EE.A.4
Express 3910.28×104 using proper scientific notation.
  1. 3.91028×106
  2. 3.91028×108
  3. 3.91028×107
  4. 39.1028×105
Grade 8 Scientific Notation CCSS: 8.EE.A.3
Which of the following is least?
  1. 5×10-2
  2. 5×10-1
  3. 5×101
  4. 5×102
Grade 8 Proportional Relationships
If mp=23, what can you conclude?
  1. 3m=2p
  2. 2m=3p
  3. mp=6
  4. m+p=5
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer.

√84 is between which two numbers?
  1. 10 and 11
  2. 9 and 10
  3. 8 and 9
  4. 7 and 8
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Choose the number that is irrational.
  1. 2199
  2. √100
  3. √363
  4. 294
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Choose the number that is irrational.
  1. √123
  2. 8841
  3. √49
  4. 2369
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Square root of 225
  1. Rational
  2. Irrational
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