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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 100 · 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 × 36 =
  2. 2.12345679 × 9 =
  3. 3.12345 × 8 + 5 =
  4. 4.37 × 9 =
  5. 5.12345679 × 45 =
  6. 6.123 × 8 + 3 =
  7. 7.12345678 × 8 + 8 =
  8. 8.123 × 9 + 4 =
  9. 9.12345679 × 63 =
  10. 10.12345679 × 72 =
  11. 11.37 × 15 =
  12. 12.1234567 × 9 + 8 =
  13. 13.12 × 8 + 2 =
  14. 14.11 × 11 =
  15. 15.123456 × 9 + 7 =
  16. 16.1234 × 9 + 5 =
  17. 17.12 × 9 + 3 =
  18. 18.111111 × 111111 =
  19. 19.37 × 12 =
  20. 20.12345679 × 54 =
  21. 21.12345679 × 81 =
  22. 22.12345679 × 18 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 21 =
  25. 25.37 × 18 =
  26. 26.1111 × 1111 =
  27. 27.1234567 × 8 + 7 =
  28. 28.37 × 3 =
  29. 29.12345679 × 27 =
  30. 30.123456789 × 8 + 9 =
  31. 31.11111 × 11111 =
  32. 32.111 × 111 =
  33. 33.37 × 27 =
  34. 34.37 × 6 =
  35. 35.12345679 × 27 =
  36. 36.12345 × 9 + 6 =
  37. 37.37 × 24 =
  38. 38.37 × 24 =
  39. 39.123456 × 9 + 7 =
  40. 40.37 × 3 =

Answer key

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

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