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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 524 · 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 × 18 =
  2. 2.123456 × 8 + 6 =
  3. 3.123 × 8 + 3 =
  4. 4.111 × 111 =
  5. 5.12345679 × 27 =
  6. 6.12345679 × 63 =
  7. 7.12345679 × 54 =
  8. 8.123456 × 9 + 7 =
  9. 9.12 × 9 + 3 =
  10. 10.12345679 × 36 =
  11. 11.12345 × 9 + 6 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 45 =
  14. 14.12 × 8 + 2 =
  15. 15.12345678 × 8 + 8 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345679 × 72 =
  18. 18.1234 × 8 + 4 =
  19. 19.1234567 × 9 + 8 =
  20. 20.11 × 11 =
  21. 21.111111 × 111111 =
  22. 22.37 × 21 =
  23. 23.12345 × 8 + 5 =
  24. 24.37 × 15 =
  25. 25.123456789 × 8 + 9 =
  26. 26.11111 × 11111 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 3 =
  29. 29.37 × 18 =
  30. 30.37 × 6 =
  31. 31.12345679 × 9 =
  32. 32.12345679 × 81 =
  33. 33.37 × 27 =
  34. 34.1234567 × 8 + 7 =
  35. 35.123 × 9 + 4 =
  36. 36.37 × 9 =
  37. 37.11 × 11 =
  38. 38.37 × 12 =
  39. 39.1111 × 1111 =
  40. 40.37 × 27 =

Answer key

  1. 222222222
  2. 987654
  3. 987
  4. 12321
  5. 333333333
  6. 777777777
  7. 666666666
  8. 1111111
  9. 111
  10. 444444444
  11. 111111
  12. 1234321
  13. 555555555
  14. 98
  15. 98765432
  16. 11111
  17. 888888888
  18. 9876
  19. 11111111
  20. 121
  21. 12345654321
  22. 777
  23. 98765
  24. 555
  25. 987654321
  26. 123454321
  27. 111111111
  28. 111
  29. 666
  30. 222
  31. 111111111
  32. 999999999
  33. 999
  34. 9876543
  35. 1111
  36. 333
  37. 121
  38. 444
  39. 1234321
  40. 999

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