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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 380 · 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. 1.123 × 9 + 4 =
  2. 2.12345679 × 45 =
  3. 3.11111 × 11111 =
  4. 4.12345678 × 8 + 8 =
  5. 5.37 × 15 =
  6. 6.123456789 × 8 + 9 =
  7. 7.12345679 × 18 =
  8. 8.123456 × 8 + 6 =
  9. 9.1234 × 9 + 5 =
  10. 10.123 × 8 + 3 =
  11. 11.12345679 × 36 =
  12. 12.12345679 × 54 =
  13. 13.11 × 11 =
  14. 14.1111 × 1111 =
  15. 15.111 × 111 =
  16. 16.12345679 × 27 =
  17. 17.37 × 27 =
  18. 18.37 × 9 =
  19. 19.12345678 × 9 + 9 =
  20. 20.37 × 21 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345 × 9 + 6 =
  23. 23.12345679 × 63 =
  24. 24.1234567 × 8 + 7 =
  25. 25.111111 × 111111 =
  26. 26.12345679 × 9 =
  27. 27.37 × 18 =
  28. 28.12345 × 8 + 5 =
  29. 29.37 × 6 =
  30. 30.12 × 9 + 3 =
  31. 31.37 × 24 =
  32. 32.12345679 × 81 =
  33. 33.37 × 12 =
  34. 34.1234567 × 9 + 8 =
  35. 35.12 × 8 + 2 =
  36. 36.123 × 9 + 4 =
  37. 37.12345678 × 9 + 9 =
  38. 38.37 × 3 =
  39. 39.111111 × 111111 =
  40. 40.37 × 6 =

Answer key

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

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