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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 651 · 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. 1.37 × 21 =
  2. 2.123 × 8 + 3 =
  3. 3.12345679 × 18 =
  4. 4.111 × 111 =
  5. 5.37 × 9 =
  6. 6.12 × 9 + 3 =
  7. 7.111111 × 111111 =
  8. 8.12 × 8 + 2 =
  9. 9.37 × 24 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12345679 × 54 =
  12. 12.12345679 × 63 =
  13. 13.12345679 × 81 =
  14. 14.37 × 15 =
  15. 15.37 × 12 =
  16. 16.123 × 9 + 4 =
  17. 17.123456 × 9 + 7 =
  18. 18.1234567 × 8 + 7 =
  19. 19.1111 × 1111 =
  20. 20.11 × 11 =
  21. 21.12345679 × 36 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345678 × 9 + 9 =
  24. 24.1234 × 9 + 5 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12345679 × 72 =
  27. 27.12345 × 9 + 6 =
  28. 28.37 × 3 =
  29. 29.11111 × 11111 =
  30. 30.12345679 × 27 =
  31. 31.12345679 × 45 =
  32. 32.12345 × 8 + 5 =
  33. 33.12345678 × 8 + 8 =
  34. 34.37 × 6 =
  35. 35.1234 × 8 + 4 =
  36. 36.37 × 18 =
  37. 37.37 × 18 =
  38. 38.37 × 27 =
  39. 39.37 × 24 =
  40. 40.37 × 6 =

Answer key

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

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