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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 130 · 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. 1.123 × 8 + 3 =
  2. 2.12345679 × 18 =
  3. 3.12345679 × 9 =
  4. 4.123456 × 8 + 6 =
  5. 5.37 × 21 =
  6. 6.37 × 6 =
  7. 7.12345679 × 36 =
  8. 8.37 × 27 =
  9. 9.12345679 × 54 =
  10. 10.12345 × 9 + 6 =
  11. 11.11 × 11 =
  12. 12.123 × 9 + 4 =
  13. 13.1234 × 9 + 5 =
  14. 14.12345679 × 27 =
  15. 15.12 × 9 + 3 =
  16. 16.11111 × 11111 =
  17. 17.1234567 × 9 + 8 =
  18. 18.37 × 12 =
  19. 19.1111 × 1111 =
  20. 20.111 × 111 =
  21. 21.12345679 × 81 =
  22. 22.37 × 3 =
  23. 23.1234 × 8 + 4 =
  24. 24.111111 × 111111 =
  25. 25.37 × 9 =
  26. 26.12345 × 8 + 5 =
  27. 27.12345678 × 9 + 9 =
  28. 28.123456 × 9 + 7 =
  29. 29.12345678 × 8 + 8 =
  30. 30.1111 × 1111 =
  31. 31.12345679 × 72 =
  32. 32.37 × 18 =
  33. 33.123456789 × 8 + 9 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 45 =
  36. 36.1234567 × 8 + 7 =
  37. 37.37 × 15 =
  38. 38.12345679 × 63 =
  39. 39.12 × 8 + 2 =
  40. 40.37 × 24 =

Answer key

  1. 987
  2. 222222222
  3. 111111111
  4. 987654
  5. 777
  6. 222
  7. 444444444
  8. 999
  9. 666666666
  10. 111111
  11. 121
  12. 1111
  13. 11111
  14. 333333333
  15. 111
  16. 123454321
  17. 11111111
  18. 444
  19. 1234321
  20. 12321
  21. 999999999
  22. 111
  23. 9876
  24. 12345654321
  25. 333
  26. 98765
  27. 111111111
  28. 1111111
  29. 98765432
  30. 1234321
  31. 888888888
  32. 666
  33. 987654321
  34. 1111111
  35. 555555555
  36. 9876543
  37. 555
  38. 777777777
  39. 98
  40. 888

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