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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 35 · 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. 2.37 × 27 =
  3. 3.12345679 × 27 =
  4. 4.111111 × 111111 =
  5. 5.123 × 8 + 3 =
  6. 6.1234567 × 9 + 8 =
  7. 7.37 × 6 =
  8. 8.37 × 24 =
  9. 9.12345679 × 18 =
  10. 10.111 × 111 =
  11. 11.12345679 × 36 =
  12. 12.123456789 × 8 + 9 =
  13. 13.37 × 15 =
  14. 14.1234 × 9 + 5 =
  15. 15.12 × 9 + 3 =
  16. 16.12 × 8 + 2 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 63 =
  19. 19.37 × 9 =
  20. 20.11 × 11 =
  21. 21.12345679 × 45 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 72 =
  24. 24.12345679 × 81 =
  25. 25.1234567 × 8 + 7 =
  26. 26.123456 × 9 + 7 =
  27. 27.37 × 3 =
  28. 28.12345679 × 54 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345678 × 9 + 9 =
  31. 31.12345 × 8 + 5 =
  32. 32.37 × 18 =
  33. 33.11111 × 11111 =
  34. 34.12345678 × 8 + 8 =
  35. 35.1234567 × 9 + 8 =
  36. 36.1111 × 1111 =
  37. 37.37 × 15 =
  38. 38.12345 × 9 + 6 =
  39. 39.37 × 9 =
  40. 40.37 × 3 =

Answer key

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

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