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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 650 · 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 × 15 =
  2. 2.37 × 9 =
  3. 3.1111 × 1111 =
  4. 4.12345679 × 36 =
  5. 5.12345679 × 72 =
  6. 6.37 × 3 =
  7. 7.123 × 9 + 4 =
  8. 8.12345678 × 8 + 8 =
  9. 9.12345679 × 9 =
  10. 10.12345679 × 54 =
  11. 11.12 × 9 + 3 =
  12. 12.12345679 × 45 =
  13. 13.11 × 11 =
  14. 14.12345679 × 63 =
  15. 15.1234 × 9 + 5 =
  16. 16.111 × 111 =
  17. 17.123456 × 9 + 7 =
  18. 18.123456 × 8 + 6 =
  19. 19.12345679 × 27 =
  20. 20.37 × 27 =
  21. 21.37 × 24 =
  22. 22.37 × 6 =
  23. 23.12 × 8 + 2 =
  24. 24.111111 × 111111 =
  25. 25.37 × 21 =
  26. 26.1234 × 8 + 4 =
  27. 27.11111 × 11111 =
  28. 28.12345679 × 18 =
  29. 29.123 × 8 + 3 =
  30. 30.37 × 18 =
  31. 31.1234567 × 9 + 8 =
  32. 32.12345678 × 9 + 9 =
  33. 33.12345 × 9 + 6 =
  34. 34.11111 × 11111 =
  35. 35.12345 × 8 + 5 =
  36. 36.12345679 × 81 =
  37. 37.37 × 12 =
  38. 38.11 × 11 =
  39. 39.1234567 × 8 + 7 =
  40. 40.11 × 11 =

Answer key

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

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