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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 138 · 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. 1.37 × 21 =
  2. 2.12345679 × 18 =
  3. 3.12345 × 8 + 5 =
  4. 4.12345679 × 72 =
  5. 5.11 × 11 =
  6. 6.12345679 × 36 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12345679 × 81 =
  9. 9.1234 × 9 + 5 =
  10. 10.123 × 9 + 4 =
  11. 11.37 × 9 =
  12. 12.11111 × 11111 =
  13. 13.123456 × 8 + 6 =
  14. 14.37 × 6 =
  15. 15.111111 × 111111 =
  16. 16.12345678 × 9 + 9 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12345679 × 63 =
  19. 19.12345679 × 54 =
  20. 20.111 × 111 =
  21. 21.12345679 × 27 =
  22. 22.37 × 3 =
  23. 23.37 × 27 =
  24. 24.12345678 × 8 + 8 =
  25. 25.1234567 × 8 + 7 =
  26. 26.37 × 24 =
  27. 27.1111 × 1111 =
  28. 28.12345679 × 45 =
  29. 29.12 × 8 + 2 =
  30. 30.12 × 9 + 3 =
  31. 31.37 × 18 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345679 × 9 =
  34. 34.12345 × 9 + 6 =
  35. 35.37 × 15 =
  36. 36.123 × 8 + 3 =
  37. 37.12345679 × 45 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12345679 × 18 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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