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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 163 · 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 × 12 =
  2. 2.37 × 15 =
  3. 3.1234567 × 9 + 8 =
  4. 4.12345 × 9 + 6 =
  5. 5.11111 × 11111 =
  6. 6.12345679 × 18 =
  7. 7.123456 × 9 + 7 =
  8. 8.1111 × 1111 =
  9. 9.111111 × 111111 =
  10. 10.12345679 × 72 =
  11. 11.123456789 × 8 + 9 =
  12. 12.37 × 24 =
  13. 13.12345679 × 9 =
  14. 14.12 × 8 + 2 =
  15. 15.12 × 9 + 3 =
  16. 16.123 × 9 + 4 =
  17. 17.11 × 11 =
  18. 18.37 × 9 =
  19. 19.37 × 6 =
  20. 20.123456 × 8 + 6 =
  21. 21.12345679 × 36 =
  22. 22.37 × 27 =
  23. 23.12345679 × 54 =
  24. 24.12345679 × 63 =
  25. 25.1234 × 8 + 4 =
  26. 26.12345678 × 9 + 9 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 45 =
  31. 31.37 × 3 =
  32. 32.123 × 8 + 3 =
  33. 33.12345679 × 81 =
  34. 34.12345 × 8 + 5 =
  35. 35.1234567 × 8 + 7 =
  36. 36.12345679 × 18 =
  37. 37.37 × 21 =
  38. 38.111 × 111 =
  39. 39.12345 × 8 + 5 =
  40. 40.12345678 × 8 + 8 =

Answer key

  1. 444
  2. 555
  3. 11111111
  4. 111111
  5. 123454321
  6. 222222222
  7. 1111111
  8. 1234321
  9. 12345654321
  10. 888888888
  11. 987654321
  12. 888
  13. 111111111
  14. 98
  15. 111
  16. 1111
  17. 121
  18. 333
  19. 222
  20. 987654
  21. 444444444
  22. 999
  23. 666666666
  24. 777777777
  25. 9876
  26. 111111111
  27. 11111
  28. 98765432
  29. 333333333
  30. 555555555
  31. 111
  32. 987
  33. 999999999
  34. 98765
  35. 9876543
  36. 222222222
  37. 777
  38. 12321
  39. 98765
  40. 98765432

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