Simplification: Test 1

10 questions · 15 minutes · scoring and calculator rules shown before you begin

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Simplification Test 1: questions and answers

Take the test first if you want an honest score. The answers and solutions below are folded away until you open them.

  1. 1. 39 + 7 × 4 − 5 = ?
    1. 59
    2. 179
    3. 62
    4. 56

    Reference: q-52d38de9-19 · Report this question

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    Answer: C. 62

    Multiply first: 7 × 4 = 28. Then 39 + 28 − 5 = 62.
  2. 2. 20% of 360 + 5% of 240 = ?
    1. 84
    2. 82
    3. 78
    4. 86

    Reference: q-33b34484-27 · Report this question

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    Answer: A. 84

    20% of 360 = 72 and 5% of 240 = 12. Their sum is 84.
  3. 3. √289 + 12² = ?
    1. 41
    2. 158
    3. 162
    4. 161

    Reference: q-975a3544-15 · Report this question

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    Answer: D. 161

    √289 = 17 and 12² = 144, so the value is 17 + 144 = 161.
  4. 4. 1/3 of 48 + 23 = ?
    1. 45
    2. 41
    3. 39
    4. 35

    Reference: q-aa262397-19 · Report this question

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    Answer: C. 39

    1/3 of 48 = 16. Adding 23 gives 39.
  5. 5. (20² − 5²) ÷ (20 − 5) = ?
    1. 15
    2. 31
    3. 21
    4. 25

    Reference: q-e512040a-26 · Report this question

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    Answer: D. 25

    a² − b² = (a + b)(a − b), so the value is 20 + 5 = 25.
  6. 6. 39 + 5 × 9 − 24 = ?
    1. 372
    2. 66
    3. 60
    4. 58

    Reference: q-b0d37267-20 · Report this question

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    Answer: C. 60

    Multiply first: 5 × 9 = 45. Then 39 + 45 − 24 = 60.
  7. 7. 45% of 260 + 10% of 100 = ?
    1. 123
    2. 121
    3. 127
    4. 133

    Reference: q-1be0fec7-28 · Report this question

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    Answer: C. 127

    45% of 260 = 117 and 10% of 100 = 10. Their sum is 127.
  8. 8. √144 + 5² = ?
    1. 34
    2. 22
    3. 37
    4. 28

    Reference: q-a4a27ac-14 · Report this question

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    Answer: C. 37

    √144 = 12 and 5² = 25, so the value is 12 + 25 = 37.
  9. 9. 5/6 of 174 + 16 = ?
    1. 161
    2. 155
    3. 167
    4. 152

    Reference: q-ed6ef4ba-20 · Report this question

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    Answer: A. 161

    5/6 of 174 = 145. Adding 16 gives 161.
  10. 10. (15² − 6²) ÷ (15 − 6) = ?
    1. 18
    2. 22
    3. 9
    4. 21

    Reference: q-f1805f4e-26 · Report this question

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    Answer: D. 21

    a² − b² = (a + b)(a − b), so the value is 15 + 6 = 21.

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