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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 345 · 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 × 63 =
  2. 2.12345679 × 45 =
  3. 3.37 × 18 =
  4. 4.12345 × 9 + 6 =
  5. 5.123 × 8 + 3 =
  6. 6.12345679 × 54 =
  7. 7.37 × 21 =
  8. 8.11 × 11 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 9 =
  11. 11.1234 × 8 + 4 =
  12. 12.11111 × 11111 =
  13. 13.37 × 27 =
  14. 14.37 × 24 =
  15. 15.37 × 15 =
  16. 16.1234567 × 8 + 7 =
  17. 17.123456789 × 8 + 9 =
  18. 18.1234567 × 9 + 8 =
  19. 19.12345 × 8 + 5 =
  20. 20.12345678 × 9 + 9 =
  21. 21.123 × 9 + 4 =
  22. 22.111111 × 111111 =
  23. 23.12345679 × 81 =
  24. 24.12345679 × 18 =
  25. 25.37 × 12 =
  26. 26.37 × 6 =
  27. 27.1111 × 1111 =
  28. 28.12345678 × 8 + 8 =
  29. 29.37 × 3 =
  30. 30.12345679 × 36 =
  31. 31.123456 × 8 + 6 =
  32. 32.37 × 9 =
  33. 33.1234 × 9 + 5 =
  34. 34.12 × 9 + 3 =
  35. 35.123456 × 9 + 7 =
  36. 36.12345679 × 72 =
  37. 37.12345 × 8 + 5 =
  38. 38.111 × 111 =
  39. 39.37 × 3 =
  40. 40.12345679 × 27 =

Answer key

  1. 777777777
  2. 555555555
  3. 666
  4. 111111
  5. 987
  6. 666666666
  7. 777
  8. 121
  9. 98
  10. 111111111
  11. 9876
  12. 123454321
  13. 999
  14. 888
  15. 555
  16. 9876543
  17. 987654321
  18. 11111111
  19. 98765
  20. 111111111
  21. 1111
  22. 12345654321
  23. 999999999
  24. 222222222
  25. 444
  26. 222
  27. 1234321
  28. 98765432
  29. 111
  30. 444444444
  31. 987654
  32. 333
  33. 11111
  34. 111
  35. 1111111
  36. 888888888
  37. 98765
  38. 12321
  39. 111
  40. 333333333

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