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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 160 · 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. 1.12345679 × 36 =
  2. 2.1234567 × 8 + 7 =
  3. 3.12345679 × 72 =
  4. 4.12345 × 8 + 5 =
  5. 5.123 × 8 + 3 =
  6. 6.37 × 27 =
  7. 7.37 × 18 =
  8. 8.37 × 21 =
  9. 9.123456 × 9 + 7 =
  10. 10.12345679 × 45 =
  11. 11.111 × 111 =
  12. 12.11 × 11 =
  13. 13.37 × 3 =
  14. 14.37 × 15 =
  15. 15.12345 × 9 + 6 =
  16. 16.12345678 × 8 + 8 =
  17. 17.123 × 9 + 4 =
  18. 18.123456789 × 8 + 9 =
  19. 19.37 × 12 =
  20. 20.12345679 × 9 =
  21. 21.1234 × 8 + 4 =
  22. 22.11111 × 11111 =
  23. 23.37 × 6 =
  24. 24.12345679 × 18 =
  25. 25.12 × 9 + 3 =
  26. 26.12345679 × 54 =
  27. 27.12345679 × 81 =
  28. 28.37 × 24 =
  29. 29.1234567 × 9 + 8 =
  30. 30.1111 × 1111 =
  31. 31.12345679 × 45 =
  32. 32.12345679 × 63 =
  33. 33.123456 × 8 + 6 =
  34. 34.1234 × 9 + 5 =
  35. 35.12345679 × 27 =
  36. 36.123 × 9 + 4 =
  37. 37.12345678 × 9 + 9 =
  38. 38.111111 × 111111 =
  39. 39.12345679 × 45 =
  40. 40.37 × 9 =

Answer key

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

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