Numbers: Test 1

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

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Numbers 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. What is the sum of the digits of 64?
    1. 9
    2. 8
    3. 10
    4. 11

    Reference: q-adc4c623-37 · Report this question

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    Answer: C. 10

    Add the tens and units digits: 6 + 4.
  2. 2. What remainder is left when 47 is divided by 3?
    1. 2
    2. 1
    3. 3
    4. 5

    Reference: q-3f69eb34-48 · Report this question

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    Answer: A. 2

    47 = 15 × 3 + 2.
  3. 3. Find the least number that should be added to 53 to make it divisible by 3.
    1. 2
    2. 1
    3. 4
    4. 3

    Reference: q-b43c6f7c-76 · Report this question

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    Answer: B. 1

    The number is one less than a multiple of 3, so add 1.
  4. 4. How many factors does 245 have if 7 and 5 are distinct primes?
    1. 6
    2. 8
    3. 7
    4. 5

    Reference: q-52f3f963-63 · Report this question

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    Answer: A. 6

    The number is 7² × 5; number of factors = (2 + 1)(1 + 1) = 6.
  5. 5. Find the last digit of 6^8.
    1. 4
    2. 3
    3. 5
    4. 6

    Reference: q-f2f13c0d-28 · Report this question

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    Answer: D. 6

    The units digit of 1679616 is 6; powers repeat in cycles of at most four.
  6. 6. What is the sum of the digits of 25?
    1. 7
    2. 5
    3. 10
    4. 6

    Reference: q-e125ffe6-37 · Report this question

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    Answer: A. 7

    Add the tens and units digits: 2 + 5.
  7. 7. What remainder is left when 68 is divided by 7?
    1. 5
    2. 8
    3. 4
    4. 3

    Reference: q-8f33c615-48 · Report this question

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    Answer: A. 5

    68 = 9 × 7 + 5.
  8. 8. Find the least number that should be added to 159 to make it divisible by 4.
    1. 1
    2. 4
    3. 2
    4. 3

    Reference: q-e4a0c99e-77 · Report this question

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    Answer: A. 1

    The number is one less than a multiple of 4, so add 1.
  9. 9. How many factors does 50 have if 5 and 2 are distinct primes?
    1. 9
    2. 3
    3. 6
    4. 7

    Reference: q-596a71c8-62 · Report this question

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    Answer: C. 6

    The number is 5² × 2; number of factors = (2 + 1)(1 + 1) = 6.
  10. 10. Find the last digit of 9^2.
    1. 2
    2. 3
    3. 1
    4. 4

    Reference: q-a016f828-28 · Report this question

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    Answer: C. 1

    The units digit of 81 is 1; powers repeat in cycles of at most four.

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