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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 261 · 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. 1.123456 × 9 + 7 =
  2. 2.123456 × 8 + 6 =
  3. 3.12345679 × 27 =
  4. 4.12345679 × 18 =
  5. 5.37 × 18 =
  6. 6.12 × 9 + 3 =
  7. 7.111111 × 111111 =
  8. 8.1111 × 1111 =
  9. 9.1234567 × 8 + 7 =
  10. 10.111 × 111 =
  11. 11.1234567 × 9 + 8 =
  12. 12.123 × 9 + 4 =
  13. 13.12345679 × 63 =
  14. 14.12345678 × 9 + 9 =
  15. 15.11 × 11 =
  16. 16.37 × 27 =
  17. 17.12345679 × 45 =
  18. 18.12 × 8 + 2 =
  19. 19.37 × 9 =
  20. 20.12345 × 9 + 6 =
  21. 21.1234 × 9 + 5 =
  22. 22.37 × 15 =
  23. 23.37 × 24 =
  24. 24.12345679 × 72 =
  25. 25.11111 × 11111 =
  26. 26.12345679 × 9 =
  27. 27.37 × 12 =
  28. 28.12345679 × 36 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12345679 × 54 =
  31. 31.123 × 8 + 3 =
  32. 32.12345679 × 81 =
  33. 33.1234 × 8 + 4 =
  34. 34.123456789 × 8 + 9 =
  35. 35.123 × 9 + 4 =
  36. 36.37 × 6 =
  37. 37.12345 × 8 + 5 =
  38. 38.111111 × 111111 =
  39. 39.11111 × 11111 =
  40. 40.37 × 21 =

Answer key

  1. 1111111
  2. 987654
  3. 333333333
  4. 222222222
  5. 666
  6. 111
  7. 12345654321
  8. 1234321
  9. 9876543
  10. 12321
  11. 11111111
  12. 1111
  13. 777777777
  14. 111111111
  15. 121
  16. 999
  17. 555555555
  18. 98
  19. 333
  20. 111111
  21. 11111
  22. 555
  23. 888
  24. 888888888
  25. 123454321
  26. 111111111
  27. 444
  28. 444444444
  29. 98765432
  30. 666666666
  31. 987
  32. 999999999
  33. 9876
  34. 987654321
  35. 1111
  36. 222
  37. 98765
  38. 12345654321
  39. 123454321
  40. 777

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