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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 155 · 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. 1.37 × 6 =
  2. 2.123 × 8 + 3 =
  3. 3.123456 × 8 + 6 =
  4. 4.111 × 111 =
  5. 5.37 × 27 =
  6. 6.111111 × 111111 =
  7. 7.12345679 × 72 =
  8. 8.12345679 × 18 =
  9. 9.12345679 × 63 =
  10. 10.12345678 × 8 + 8 =
  11. 11.12345679 × 54 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 81 =
  14. 14.12345 × 8 + 5 =
  15. 15.123 × 9 + 4 =
  16. 16.37 × 18 =
  17. 17.12345679 × 9 =
  18. 18.37 × 24 =
  19. 19.11 × 11 =
  20. 20.123456 × 9 + 7 =
  21. 21.12345679 × 45 =
  22. 22.37 × 3 =
  23. 23.123456789 × 8 + 9 =
  24. 24.1234 × 8 + 4 =
  25. 25.1234567 × 9 + 8 =
  26. 26.1234567 × 8 + 7 =
  27. 27.12 × 8 + 2 =
  28. 28.37 × 21 =
  29. 29.37 × 15 =
  30. 30.12345679 × 36 =
  31. 31.1234 × 9 + 5 =
  32. 32.11 × 11 =
  33. 33.12345678 × 9 + 9 =
  34. 34.12 × 9 + 3 =
  35. 35.11111 × 11111 =
  36. 36.37 × 12 =
  37. 37.123 × 9 + 4 =
  38. 38.12345 × 9 + 6 =
  39. 39.12345679 × 27 =
  40. 40.1234 × 9 + 5 =

Answer key

  1. 222
  2. 987
  3. 987654
  4. 12321
  5. 999
  6. 12345654321
  7. 888888888
  8. 222222222
  9. 777777777
  10. 98765432
  11. 666666666
  12. 1234321
  13. 999999999
  14. 98765
  15. 1111
  16. 666
  17. 111111111
  18. 888
  19. 121
  20. 1111111
  21. 555555555
  22. 111
  23. 987654321
  24. 9876
  25. 11111111
  26. 9876543
  27. 98
  28. 777
  29. 555
  30. 444444444
  31. 11111
  32. 121
  33. 111111111
  34. 111
  35. 123454321
  36. 444
  37. 1111
  38. 111111
  39. 333333333
  40. 11111

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