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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 89 · 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. 1.123456 × 9 + 7 =
  2. 2.37 × 21 =
  3. 3.12345679 × 63 =
  4. 4.111111 × 111111 =
  5. 5.12 × 9 + 3 =
  6. 6.123 × 9 + 4 =
  7. 7.12345 × 9 + 6 =
  8. 8.12345679 × 81 =
  9. 9.12345678 × 8 + 8 =
  10. 10.1234567 × 8 + 7 =
  11. 11.11111 × 11111 =
  12. 12.37 × 9 =
  13. 13.12345679 × 45 =
  14. 14.12345679 × 72 =
  15. 15.1111 × 1111 =
  16. 16.111 × 111 =
  17. 17.12345679 × 27 =
  18. 18.12345679 × 54 =
  19. 19.37 × 24 =
  20. 20.37 × 18 =
  21. 21.37 × 12 =
  22. 22.37 × 15 =
  23. 23.12345679 × 9 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345678 × 9 + 9 =
  26. 26.11 × 11 =
  27. 27.37 × 6 =
  28. 28.1234 × 9 + 5 =
  29. 29.37 × 3 =
  30. 30.37 × 21 =
  31. 31.123 × 8 + 3 =
  32. 32.12345679 × 18 =
  33. 33.12345679 × 54 =
  34. 34.12345679 × 36 =
  35. 35.123456789 × 8 + 9 =
  36. 36.12 × 8 + 2 =
  37. 37.37 × 27 =
  38. 38.111 × 111 =
  39. 39.12345 × 8 + 5 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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