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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 110 · 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. 1.12345 × 9 + 6 =
  2. 2.37 × 12 =
  3. 3.12 × 8 + 2 =
  4. 4.123456789 × 8 + 9 =
  5. 5.12345679 × 27 =
  6. 6.37 × 6 =
  7. 7.12 × 9 + 3 =
  8. 8.37 × 27 =
  9. 9.37 × 24 =
  10. 10.111111 × 111111 =
  11. 11.111 × 111 =
  12. 12.123 × 8 + 3 =
  13. 13.11 × 11 =
  14. 14.1234 × 9 + 5 =
  15. 15.37 × 18 =
  16. 16.12345679 × 72 =
  17. 17.123456 × 9 + 7 =
  18. 18.12345679 × 81 =
  19. 19.12345679 × 9 =
  20. 20.1234567 × 9 + 8 =
  21. 21.12345679 × 63 =
  22. 22.1111 × 1111 =
  23. 23.37 × 3 =
  24. 24.123 × 9 + 4 =
  25. 25.12345679 × 54 =
  26. 26.37 × 9 =
  27. 27.37 × 15 =
  28. 28.12345678 × 9 + 9 =
  29. 29.1234567 × 8 + 7 =
  30. 30.12345 × 8 + 5 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345679 × 18 =
  33. 33.11111 × 11111 =
  34. 34.12345679 × 36 =
  35. 35.11111 × 11111 =
  36. 36.37 × 21 =
  37. 37.12345679 × 36 =
  38. 38.123456 × 8 + 6 =
  39. 39.1234 × 8 + 4 =
  40. 40.12345679 × 18 =

Answer key

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

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