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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 745 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.12345679 × 54 =
  2. 2.12345679 × 72 =
  3. 3.37 × 24 =
  4. 4.37 × 21 =
  5. 5.12345679 × 63 =
  6. 6.12345679 × 18 =
  7. 7.12345679 × 27 =
  8. 8.123 × 9 + 4 =
  9. 9.37 × 18 =
  10. 10.123456789 × 8 + 9 =
  11. 11.37 × 3 =
  12. 12.1234 × 9 + 5 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 9 =
  15. 15.12 × 9 + 3 =
  16. 16.37 × 12 =
  17. 17.12345679 × 36 =
  18. 18.37 × 27 =
  19. 19.1111 × 1111 =
  20. 20.12345678 × 9 + 9 =
  21. 21.37 × 9 =
  22. 22.1234567 × 8 + 7 =
  23. 23.12345679 × 45 =
  24. 24.11 × 11 =
  25. 25.37 × 6 =
  26. 26.123456 × 9 + 7 =
  27. 27.11111 × 11111 =
  28. 28.37 × 15 =
  29. 29.1234 × 8 + 4 =
  30. 30.123456 × 8 + 6 =
  31. 31.12 × 8 + 2 =
  32. 32.12345679 × 81 =
  33. 33.12345678 × 8 + 8 =
  34. 34.1234567 × 9 + 8 =
  35. 35.111 × 111 =
  36. 36.12345 × 9 + 6 =
  37. 37.123456 × 8 + 6 =
  38. 38.37 × 9 =
  39. 39.12345679 × 72 =
  40. 40.12345 × 8 + 5 =

Answer key

  1. 666666666
  2. 888888888
  3. 888
  4. 777
  5. 777777777
  6. 222222222
  7. 333333333
  8. 1111
  9. 666
  10. 987654321
  11. 111
  12. 11111
  13. 987654
  14. 111111111
  15. 111
  16. 444
  17. 444444444
  18. 999
  19. 1234321
  20. 111111111
  21. 333
  22. 9876543
  23. 555555555
  24. 121
  25. 222
  26. 1111111
  27. 123454321
  28. 555
  29. 9876
  30. 987654
  31. 98
  32. 999999999
  33. 98765432
  34. 11111111
  35. 12321
  36. 111111
  37. 987654
  38. 333
  39. 888888888
  40. 98765

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