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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 91 · 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 × 18 =
  2. 2.12345679 × 27 =
  3. 3.123 × 8 + 3 =
  4. 4.123456 × 8 + 6 =
  5. 5.12345679 × 9 =
  6. 6.11111 × 11111 =
  7. 7.12345678 × 8 + 8 =
  8. 8.12 × 9 + 3 =
  9. 9.12345679 × 81 =
  10. 10.37 × 6 =
  11. 11.11 × 11 =
  12. 12.37 × 3 =
  13. 13.12345679 × 36 =
  14. 14.12345679 × 45 =
  15. 15.37 × 9 =
  16. 16.1234 × 8 + 4 =
  17. 17.1234 × 9 + 5 =
  18. 18.111 × 111 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345 × 9 + 6 =
  21. 21.1111 × 1111 =
  22. 22.37 × 15 =
  23. 23.111111 × 111111 =
  24. 24.12345679 × 54 =
  25. 25.123456789 × 8 + 9 =
  26. 26.12345679 × 63 =
  27. 27.1234567 × 8 + 7 =
  28. 28.123 × 9 + 4 =
  29. 29.123456 × 9 + 7 =
  30. 30.37 × 27 =
  31. 31.12345679 × 72 =
  32. 32.37 × 24 =
  33. 33.12345 × 8 + 5 =
  34. 34.37 × 21 =
  35. 35.12345678 × 9 + 9 =
  36. 36.12 × 8 + 2 =
  37. 37.12345678 × 9 + 9 =
  38. 38.12 × 9 + 3 =
  39. 39.12 × 8 + 2 =
  40. 40.37 × 6 =

Answer key

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

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