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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 153 · 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 × 12 =
  2. 2.12345678 × 8 + 8 =
  3. 3.111 × 111 =
  4. 4.12345679 × 72 =
  5. 5.123 × 9 + 4 =
  6. 6.12345678 × 9 + 9 =
  7. 7.12345679 × 36 =
  8. 8.1234567 × 9 + 8 =
  9. 9.37 × 9 =
  10. 10.12345 × 9 + 6 =
  11. 11.37 × 18 =
  12. 12.12345679 × 81 =
  13. 13.12345679 × 27 =
  14. 14.123456 × 8 + 6 =
  15. 15.123 × 8 + 3 =
  16. 16.12345679 × 18 =
  17. 17.12345679 × 54 =
  18. 18.37 × 15 =
  19. 19.12345679 × 9 =
  20. 20.37 × 24 =
  21. 21.1111 × 1111 =
  22. 22.123456 × 9 + 7 =
  23. 23.11 × 11 =
  24. 24.12345679 × 45 =
  25. 25.12 × 8 + 2 =
  26. 26.11111 × 11111 =
  27. 27.37 × 27 =
  28. 28.37 × 21 =
  29. 29.37 × 3 =
  30. 30.111111 × 111111 =
  31. 31.12 × 9 + 3 =
  32. 32.1234 × 8 + 4 =
  33. 33.37 × 6 =
  34. 34.1234567 × 8 + 7 =
  35. 35.123456789 × 8 + 9 =
  36. 36.12345679 × 63 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345 × 8 + 5 =
  39. 39.111 × 111 =
  40. 40.12345679 × 27 =

Answer key

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

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