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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 92 · 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 × 6 =
  2. 2.123456 × 8 + 6 =
  3. 3.11111 × 11111 =
  4. 4.12345679 × 45 =
  5. 5.37 × 9 =
  6. 6.123456 × 9 + 7 =
  7. 7.12 × 9 + 3 =
  8. 8.12345679 × 36 =
  9. 9.123 × 9 + 4 =
  10. 10.37 × 27 =
  11. 11.37 × 24 =
  12. 12.1234567 × 8 + 7 =
  13. 13.12345679 × 72 =
  14. 14.111 × 111 =
  15. 15.12345 × 8 + 5 =
  16. 16.12345679 × 9 =
  17. 17.1111 × 1111 =
  18. 18.12345679 × 18 =
  19. 19.1234567 × 9 + 8 =
  20. 20.123 × 8 + 3 =
  21. 21.12345678 × 8 + 8 =
  22. 22.12345678 × 9 + 9 =
  23. 23.123456789 × 8 + 9 =
  24. 24.37 × 21 =
  25. 25.12345679 × 54 =
  26. 26.111111 × 111111 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345679 × 27 =
  29. 29.12345679 × 63 =
  30. 30.37 × 18 =
  31. 31.11 × 11 =
  32. 32.37 × 15 =
  33. 33.12345679 × 81 =
  34. 34.37 × 3 =
  35. 35.37 × 12 =
  36. 36.1234567 × 8 + 7 =
  37. 37.1234 × 8 + 4 =
  38. 38.12345 × 9 + 6 =
  39. 39.12 × 8 + 2 =
  40. 40.12345679 × 27 =

Answer key

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

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