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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 5 · 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 × 18 =
  2. 2.1111 × 1111 =
  3. 3.11111 × 11111 =
  4. 4.1234567 × 8 + 7 =
  5. 5.1234 × 8 + 4 =
  6. 6.12345679 × 72 =
  7. 7.123 × 9 + 4 =
  8. 8.12345678 × 8 + 8 =
  9. 9.12345 × 9 + 6 =
  10. 10.37 × 27 =
  11. 11.12345679 × 36 =
  12. 12.12345 × 8 + 5 =
  13. 13.111111 × 111111 =
  14. 14.37 × 21 =
  15. 15.12345679 × 18 =
  16. 16.11 × 11 =
  17. 17.37 × 6 =
  18. 18.37 × 3 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345678 × 9 + 9 =
  21. 21.123456 × 8 + 6 =
  22. 22.12 × 8 + 2 =
  23. 23.123 × 8 + 3 =
  24. 24.123456 × 9 + 7 =
  25. 25.12345679 × 45 =
  26. 26.12345679 × 27 =
  27. 27.12345679 × 81 =
  28. 28.37 × 15 =
  29. 29.37 × 9 =
  30. 30.12345679 × 63 =
  31. 31.37 × 12 =
  32. 32.1234 × 9 + 5 =
  33. 33.111 × 111 =
  34. 34.12 × 9 + 3 =
  35. 35.37 × 24 =
  36. 36.12345679 × 9 =
  37. 37.12345679 × 45 =
  38. 38.11111 × 11111 =
  39. 39.111111 × 111111 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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