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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 24 · 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. 2.12 × 8 + 2 =
  3. 3.37 × 24 =
  4. 4.37 × 6 =
  5. 5.12345679 × 27 =
  6. 6.12 × 9 + 3 =
  7. 7.111 × 111 =
  8. 8.123 × 9 + 4 =
  9. 9.123456 × 9 + 7 =
  10. 10.11 × 11 =
  11. 11.37 × 15 =
  12. 12.12345679 × 72 =
  13. 13.1111 × 1111 =
  14. 14.37 × 12 =
  15. 15.123456 × 8 + 6 =
  16. 16.12345679 × 81 =
  17. 17.111111 × 111111 =
  18. 18.12345679 × 54 =
  19. 19.1234 × 9 + 5 =
  20. 20.12345679 × 18 =
  21. 21.37 × 3 =
  22. 22.123 × 8 + 3 =
  23. 23.123456789 × 8 + 9 =
  24. 24.12345678 × 9 + 9 =
  25. 25.12345679 × 36 =
  26. 26.37 × 21 =
  27. 27.12345679 × 9 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345 × 9 + 6 =
  30. 30.12345679 × 54 =
  31. 31.1111 × 1111 =
  32. 32.37 × 27 =
  33. 33.37 × 18 =
  34. 34.1234567 × 9 + 8 =
  35. 35.11111 × 11111 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345678 × 8 + 8 =
  38. 38.12345679 × 27 =
  39. 39.111111 × 111111 =
  40. 40.37 × 9 =

Answer key

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

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