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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 107 · 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 × 8 + 7 =
  2. 2.1234 × 9 + 5 =
  3. 3.37 × 24 =
  4. 4.37 × 18 =
  5. 5.12345678 × 9 + 9 =
  6. 6.12345679 × 36 =
  7. 7.37 × 6 =
  8. 8.111111 × 111111 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 9 =
  11. 11.1234567 × 9 + 8 =
  12. 12.37 × 21 =
  13. 13.12345679 × 18 =
  14. 14.123 × 9 + 4 =
  15. 15.1111 × 1111 =
  16. 16.12345679 × 45 =
  17. 17.11 × 11 =
  18. 18.37 × 15 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345679 × 54 =
  21. 21.123 × 8 + 3 =
  22. 22.111 × 111 =
  23. 23.11111 × 11111 =
  24. 24.37 × 12 =
  25. 25.12345679 × 81 =
  26. 26.12345678 × 8 + 8 =
  27. 27.12345 × 9 + 6 =
  28. 28.123456 × 9 + 7 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345679 × 63 =
  31. 31.37 × 9 =
  32. 32.37 × 3 =
  33. 33.12 × 9 + 3 =
  34. 34.123456 × 8 + 6 =
  35. 35.37 × 27 =
  36. 36.1234567 × 8 + 7 =
  37. 37.12345679 × 72 =
  38. 38.12345 × 8 + 5 =
  39. 39.11 × 11 =
  40. 40.12345679 × 63 =

Answer key

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

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