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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 192 · 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. 2.123 × 9 + 4 =
  3. 3.1111 × 1111 =
  4. 4.12 × 8 + 2 =
  5. 5.1234 × 9 + 5 =
  6. 6.12345 × 8 + 5 =
  7. 7.12345679 × 36 =
  8. 8.123456 × 9 + 7 =
  9. 9.37 × 12 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12345679 × 18 =
  12. 12.123 × 8 + 3 =
  13. 13.1234 × 8 + 4 =
  14. 14.37 × 9 =
  15. 15.12345679 × 63 =
  16. 16.111111 × 111111 =
  17. 17.123456 × 8 + 6 =
  18. 18.11 × 11 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12345 × 9 + 6 =
  22. 22.37 × 24 =
  23. 23.37 × 6 =
  24. 24.111 × 111 =
  25. 25.37 × 27 =
  26. 26.12345679 × 72 =
  27. 27.1234567 × 9 + 8 =
  28. 28.12345679 × 9 =
  29. 29.37 × 18 =
  30. 30.12 × 9 + 3 =
  31. 31.12345679 × 81 =
  32. 32.37 × 15 =
  33. 33.12345678 × 9 + 9 =
  34. 34.12345679 × 27 =
  35. 35.11111 × 11111 =
  36. 36.37 × 3 =
  37. 37.11 × 11 =
  38. 38.111 × 111 =
  39. 39.37 × 21 =
  40. 40.123 × 8 + 3 =

Answer key

  1. 666666666
  2. 1111
  3. 1234321
  4. 98
  5. 11111
  6. 98765
  7. 444444444
  8. 1111111
  9. 444
  10. 9876543
  11. 222222222
  12. 987
  13. 9876
  14. 333
  15. 777777777
  16. 12345654321
  17. 987654
  18. 121
  19. 987654321
  20. 98765432
  21. 111111
  22. 888
  23. 222
  24. 12321
  25. 999
  26. 888888888
  27. 11111111
  28. 111111111
  29. 666
  30. 111
  31. 999999999
  32. 555
  33. 111111111
  34. 333333333
  35. 123454321
  36. 111
  37. 121
  38. 12321
  39. 777
  40. 987

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