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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 520 · 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 × 63 =
  2. 2.37 × 12 =
  3. 3.37 × 27 =
  4. 4.12345 × 9 + 6 =
  5. 5.12345679 × 81 =
  6. 6.123 × 8 + 3 =
  7. 7.12345679 × 54 =
  8. 8.37 × 6 =
  9. 9.12345678 × 8 + 8 =
  10. 10.12345679 × 18 =
  11. 11.12345679 × 36 =
  12. 12.1234567 × 8 + 7 =
  13. 13.11 × 11 =
  14. 14.123456789 × 8 + 9 =
  15. 15.1111 × 1111 =
  16. 16.11111 × 11111 =
  17. 17.111111 × 111111 =
  18. 18.123456 × 8 + 6 =
  19. 19.37 × 15 =
  20. 20.12 × 8 + 2 =
  21. 21.12345679 × 72 =
  22. 22.1234 × 9 + 5 =
  23. 23.111 × 111 =
  24. 24.12 × 9 + 3 =
  25. 25.12345679 × 45 =
  26. 26.123456 × 9 + 7 =
  27. 27.12345678 × 9 + 9 =
  28. 28.123 × 9 + 4 =
  29. 29.37 × 24 =
  30. 30.12345679 × 27 =
  31. 31.37 × 12 =
  32. 32.37 × 9 =
  33. 33.1234567 × 9 + 8 =
  34. 34.12345679 × 9 =
  35. 35.37 × 3 =
  36. 36.12345 × 9 + 6 =
  37. 37.12345679 × 27 =
  38. 38.1234 × 8 + 4 =
  39. 39.37 × 18 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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