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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 630 · 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 × 8 + 6 =
  2. 2.123 × 9 + 4 =
  3. 3.12345679 × 81 =
  4. 4.1234567 × 9 + 8 =
  5. 5.123 × 8 + 3 =
  6. 6.37 × 18 =
  7. 7.12345678 × 8 + 8 =
  8. 8.37 × 27 =
  9. 9.111 × 111 =
  10. 10.123456 × 9 + 7 =
  11. 11.111111 × 111111 =
  12. 12.12 × 8 + 2 =
  13. 13.1234567 × 8 + 7 =
  14. 14.37 × 24 =
  15. 15.12345 × 8 + 5 =
  16. 16.37 × 6 =
  17. 17.12345679 × 54 =
  18. 18.12345679 × 27 =
  19. 19.12 × 9 + 3 =
  20. 20.12345679 × 63 =
  21. 21.12345 × 9 + 6 =
  22. 22.1111 × 1111 =
  23. 23.12345679 × 72 =
  24. 24.1234 × 8 + 4 =
  25. 25.37 × 9 =
  26. 26.123456789 × 8 + 9 =
  27. 27.37 × 3 =
  28. 28.11111 × 11111 =
  29. 29.11 × 11 =
  30. 30.12345678 × 9 + 9 =
  31. 31.1234 × 9 + 5 =
  32. 32.12345679 × 36 =
  33. 33.12345679 × 18 =
  34. 34.12345679 × 45 =
  35. 35.12 × 8 + 2 =
  36. 36.12345679 × 9 =
  37. 37.1111 × 1111 =
  38. 38.12345679 × 27 =
  39. 39.37 × 15 =
  40. 40.37 × 12 =

Answer key

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

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