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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 253 · 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. 1.1234 × 9 + 5 =
  2. 2.123456789 × 8 + 9 =
  3. 3.12345679 × 18 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12345679 × 63 =
  6. 6.37 × 27 =
  7. 7.12 × 8 + 2 =
  8. 8.37 × 6 =
  9. 9.1111 × 1111 =
  10. 10.12345678 × 8 + 8 =
  11. 11.1234567 × 9 + 8 =
  12. 12.111 × 111 =
  13. 13.37 × 3 =
  14. 14.37 × 9 =
  15. 15.12 × 9 + 3 =
  16. 16.123456 × 8 + 6 =
  17. 17.123 × 8 + 3 =
  18. 18.12345679 × 72 =
  19. 19.123456 × 9 + 7 =
  20. 20.12345679 × 81 =
  21. 21.12345679 × 36 =
  22. 22.12345679 × 27 =
  23. 23.123 × 9 + 4 =
  24. 24.12345678 × 9 + 9 =
  25. 25.12345679 × 45 =
  26. 26.1234 × 8 + 4 =
  27. 27.11 × 11 =
  28. 28.12345679 × 54 =
  29. 29.37 × 24 =
  30. 30.12345 × 9 + 6 =
  31. 31.111111 × 111111 =
  32. 32.37 × 18 =
  33. 33.37 × 12 =
  34. 34.11111 × 11111 =
  35. 35.12345678 × 8 + 8 =
  36. 36.12 × 9 + 3 =
  37. 37.12345679 × 9 =
  38. 38.37 × 15 =
  39. 39.12345679 × 63 =
  40. 40.11111 × 11111 =

Answer key

  1. 11111
  2. 987654321
  3. 222222222
  4. 9876543
  5. 777777777
  6. 999
  7. 98
  8. 222
  9. 1234321
  10. 98765432
  11. 11111111
  12. 12321
  13. 111
  14. 333
  15. 111
  16. 987654
  17. 987
  18. 888888888
  19. 1111111
  20. 999999999
  21. 444444444
  22. 333333333
  23. 1111
  24. 111111111
  25. 555555555
  26. 9876
  27. 121
  28. 666666666
  29. 888
  30. 111111
  31. 12345654321
  32. 666
  33. 444
  34. 123454321
  35. 98765432
  36. 111
  37. 111111111
  38. 555
  39. 777777777
  40. 123454321

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