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Choose GCF or LCM to solve a problem

6th grade (Year 7 in England) · 16 questions · Common Core: 6.NS.B.4 · England: KS3 Number, GCSE Foundation Number

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  1. Question 1

    Two lighthouse lights flash together. One flashes every 15 seconds, the other every 20 seconds. After how many seconds will they next be together?

    Answer

  2. Question 2

    A club has 18 apples and 24 oranges. They make identical kits with nothing left over. What is the greatest number of kits they can make?

    Answer

  3. Question 3

    Which do you need: the GCF or the LCM? Tile a rectangular floor with the largest possible square tiles.

    • A. GCF
    • B. LCM
  4. Question 4

    Two runners start together on a track. One completes a lap every 10 seconds, the other every 15 seconds. After how many seconds will they next be together?

    Answer

  5. Question 5

    A club has 15 stickers and 18 badges. They make identical kits with nothing left over. What is the greatest number of kits they can make?

    Answer

  6. Question 6

    Which do you need: the GCF or the LCM? Tile a rectangular floor with the largest possible square tiles.

    • A. GCF
    • B. LCM
  7. Question 7

    Two runners start together on a track. One completes a lap every 12 seconds, the other every 18 seconds. After how many seconds will they next be together?

    Answer

  8. Question 8

    A club has 22 red tulips and 55 yellow tulips. They make identical kits with nothing left over. What is the greatest number of kits they can make?

    Answer

  9. Question 9

    Which do you need: the GCF or the LCM? Buy packs of plates and packs of cups so you have the same number of each.

    • A. GCF
    • B. LCM
  10. Question 10

    Two buses leave the station together. One leaves every 12 minutes and the other every 18 minutes. After how many minutes will they next be together?

    Answer

  11. Question 11

    A club has 48 apples and 60 oranges. They make identical kits with nothing left over. What is the greatest number of kits they can make?

    Answer

  12. Question 12

    Which do you need: the GCF or the LCM? Tile a rectangular floor with the largest possible square tiles.

    • A. GCF
    • B. LCM
  13. Question 13

    Two buses leave the station together. One leaves every 10 minutes and the other every 15 minutes. After how many minutes will they next be together?

    Answer

  14. Question 14

    A club has 18 pencils and 12 erasers. They make identical kits with nothing left over. What is the greatest number of kits they can make?

    Answer

  15. Question 15

    Which do you need: the GCF or the LCM? Find when two repeating app reminders next go off on the same day.

    • A. GCF
    • B. LCM
  16. Question 16

    Two runners start together on a track. One completes a lap every 20 seconds, the other every 30 seconds. After how many seconds will they next be together?

    Answer

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Answer key: Choose GCF or LCM to solve a problem

  1. 1. 60

  2. 2. 6

  3. 3. A. GCF

  4. 4. 30

  5. 5. 3

  6. 6. A. GCF

  7. 7. 36

  8. 8. 11

  9. 9. B. LCM

  10. 10. 36

  11. 11. 12

  12. 12. A. GCF

  13. 13. 30

  14. 14. 6

  15. 15. B. LCM

  16. 16. 60