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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 947 · 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. 1.1234567 × 9 + 8 =
  2. 2.1234 × 8 + 4 =
  3. 3.123456789 × 8 + 9 =
  4. 4.12345678 × 8 + 8 =
  5. 5.123 × 9 + 4 =
  6. 6.12345679 × 72 =
  7. 7.12345679 × 9 =
  8. 8.12345 × 9 + 6 =
  9. 9.123 × 8 + 3 =
  10. 10.123456 × 9 + 7 =
  11. 11.37 × 18 =
  12. 12.37 × 12 =
  13. 13.11 × 11 =
  14. 14.12345679 × 36 =
  15. 15.12345679 × 18 =
  16. 16.12345679 × 27 =
  17. 17.1111 × 1111 =
  18. 18.12345679 × 45 =
  19. 19.1234 × 9 + 5 =
  20. 20.37 × 15 =
  21. 21.37 × 24 =
  22. 22.37 × 21 =
  23. 23.111111 × 111111 =
  24. 24.12345679 × 81 =
  25. 25.37 × 6 =
  26. 26.11111 × 11111 =
  27. 27.12345679 × 54 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345679 × 63 =
  30. 30.12 × 9 + 3 =
  31. 31.111 × 111 =
  32. 32.37 × 9 =
  33. 33.37 × 3 =
  34. 34.12345678 × 9 + 9 =
  35. 35.12 × 8 + 2 =
  36. 36.37 × 24 =
  37. 37.1234567 × 8 + 7 =
  38. 38.11 × 11 =
  39. 39.37 × 27 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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