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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 751 · 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. 1.12345678 × 8 + 8 =
  2. 2.37 × 18 =
  3. 3.111 × 111 =
  4. 4.11 × 11 =
  5. 5.12345679 × 9 =
  6. 6.12345679 × 18 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345679 × 72 =
  9. 9.12 × 8 + 2 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12345679 × 63 =
  12. 12.1111 × 1111 =
  13. 13.123456 × 8 + 6 =
  14. 14.37 × 6 =
  15. 15.111111 × 111111 =
  16. 16.12 × 9 + 3 =
  17. 17.11111 × 11111 =
  18. 18.37 × 15 =
  19. 19.123 × 9 + 4 =
  20. 20.37 × 24 =
  21. 21.12345678 × 9 + 9 =
  22. 22.1234 × 8 + 4 =
  23. 23.37 × 9 =
  24. 24.12345 × 8 + 5 =
  25. 25.12345 × 9 + 6 =
  26. 26.123456 × 9 + 7 =
  27. 27.1234567 × 9 + 8 =
  28. 28.12345679 × 54 =
  29. 29.12345679 × 36 =
  30. 30.37 × 21 =
  31. 31.37 × 3 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 12 =
  34. 34.12345679 × 45 =
  35. 35.12345679 × 27 =
  36. 36.12345679 × 81 =
  37. 37.37 × 27 =
  38. 38.123456789 × 8 + 9 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 18 =

Answer key

  1. 98765432
  2. 666
  3. 12321
  4. 121
  5. 111111111
  6. 222222222
  7. 9876543
  8. 888888888
  9. 98
  10. 987654321
  11. 777777777
  12. 1234321
  13. 987654
  14. 222
  15. 12345654321
  16. 111
  17. 123454321
  18. 555
  19. 1111
  20. 888
  21. 111111111
  22. 9876
  23. 333
  24. 98765
  25. 111111
  26. 1111111
  27. 11111111
  28. 666666666
  29. 444444444
  30. 777
  31. 111
  32. 987
  33. 444
  34. 555555555
  35. 333333333
  36. 999999999
  37. 999
  38. 987654321
  39. 1234321
  40. 222222222

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