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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 151 · 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. 1.1234567 × 9 + 8 =
  2. 2.12345679 × 63 =
  3. 3.37 × 3 =
  4. 4.37 × 24 =
  5. 5.1234567 × 8 + 7 =
  6. 6.12345679 × 54 =
  7. 7.37 × 9 =
  8. 8.1234 × 9 + 5 =
  9. 9.12 × 8 + 2 =
  10. 10.12345678 × 9 + 9 =
  11. 11.37 × 27 =
  12. 12.12345 × 8 + 5 =
  13. 13.12345679 × 27 =
  14. 14.37 × 6 =
  15. 15.123456789 × 8 + 9 =
  16. 16.11111 × 11111 =
  17. 17.37 × 12 =
  18. 18.12345679 × 81 =
  19. 19.12345678 × 8 + 8 =
  20. 20.12 × 9 + 3 =
  21. 21.12345679 × 18 =
  22. 22.11 × 11 =
  23. 23.12345 × 9 + 6 =
  24. 24.1111 × 1111 =
  25. 25.111111 × 111111 =
  26. 26.12345679 × 72 =
  27. 27.12345679 × 36 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 9 =
  30. 30.123 × 9 + 4 =
  31. 31.37 × 18 =
  32. 32.37 × 21 =
  33. 33.123 × 8 + 3 =
  34. 34.12345679 × 45 =
  35. 35.111 × 111 =
  36. 36.37 × 15 =
  37. 37.123456 × 8 + 6 =
  38. 38.123 × 9 + 4 =
  39. 39.1234 × 9 + 5 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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