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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 294 · 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. 1.12345678 × 8 + 8 =
  2. 2.12345 × 8 + 5 =
  3. 3.37 × 12 =
  4. 4.37 × 15 =
  5. 5.123 × 9 + 4 =
  6. 6.37 × 27 =
  7. 7.11111 × 11111 =
  8. 8.37 × 21 =
  9. 9.12 × 9 + 3 =
  10. 10.37 × 3 =
  11. 11.37 × 9 =
  12. 12.1234 × 8 + 4 =
  13. 13.11 × 11 =
  14. 14.37 × 6 =
  15. 15.1234567 × 9 + 8 =
  16. 16.111 × 111 =
  17. 17.12345679 × 36 =
  18. 18.1234567 × 8 + 7 =
  19. 19.1111 × 1111 =
  20. 20.12345679 × 63 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345679 × 45 =
  23. 23.12345679 × 72 =
  24. 24.12 × 8 + 2 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 9 =
  27. 27.12345679 × 18 =
  28. 28.1234 × 9 + 5 =
  29. 29.12345 × 9 + 6 =
  30. 30.37 × 18 =
  31. 31.123456789 × 8 + 9 =
  32. 32.111111 × 111111 =
  33. 33.12345679 × 54 =
  34. 34.12345679 × 27 =
  35. 35.12345679 × 81 =
  36. 36.37 × 9 =
  37. 37.11 × 11 =
  38. 38.123456 × 8 + 6 =
  39. 39.37 × 3 =
  40. 40.37 × 18 =

Answer key

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

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