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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 729 · 40 questions
TalentJR

The trick (Seventh times eleven): A leapfrog list: start with two numbers, then each number is the sum of the two before it, up to 10 numbers. Find the 7th number. Multiply it by 11 (the number with a 0 on the end, plus the number): that is the total of all 10.

NameDateTime takenScore ___ / 40
  1. 1.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
  2. 2.Leapfrog list (each number is the sum of the two before it): 4, 1, 5, 6, 11, 17, 28, 45, 73, 118. What is 11 × the 7th number?
  3. 3.Leapfrog list (each number is the sum of the two before it): 6, 6, 12, 18, 30, 48, 78, 126, 204, 330. What is 11 × the 7th number?
  4. 4.A leapfrog list starts 2, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  5. 5.A leapfrog list starts 3, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  6. 6.6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 + 364 =
  7. 7.A leapfrog list starts 3, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  8. 8.Leapfrog list (each number is the sum of the two before it): 3, 3, 6, 9, 15, 24, 39, 63, 102, 165. What is 11 × the 7th number?
  9. 9.A leapfrog list starts 4, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  10. 10.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
  11. 11.A leapfrog list starts 2, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  12. 12.A leapfrog list starts 9, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  13. 13.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
  14. 14.A leapfrog list starts 3, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  15. 15.Leapfrog list (each number is the sum of the two before it): 4, 3, 7, 10, 17, 27, 44, 71, 115, 186. What is 11 × the 7th number?
  16. 16.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
  17. 17.5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 + 343 =
  18. 18.Leapfrog list (each number is the sum of the two before it): 2, 2, 4, 6, 10, 16, 26, 42, 68, 110. What is 11 × the 7th number?
  19. 19.Leapfrog list (each number is the sum of the two before it): 7, 6, 13, 19, 32, 51, 83, 134, 217, 351. What is 11 × the 7th number?
  20. 20.A leapfrog list starts 8, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  21. 21.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
  22. 22.A leapfrog list starts 5, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  23. 23.Leapfrog list (each number is the sum of the two before it): 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. What is 11 × the 7th number?
  24. 24.A leapfrog list starts 1, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  25. 25.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
  26. 26.A leapfrog list starts 4, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  27. 27.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
  28. 28.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
  29. 29.A leapfrog list starts 3, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  30. 30.A leapfrog list starts 3, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  31. 31.Leapfrog list (each number is the sum of the two before it): 1, 8, 9, 17, 26, 43, 69, 112, 181, 293. What is 11 × the 7th number?
  32. 32.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
  33. 33.A leapfrog list starts 6, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  34. 34.Leapfrog list (each number is the sum of the two before it): 2, 8, 10, 18, 28, 46, 74, 120, 194, 314. What is 11 × the 7th number?
  35. 35.Leapfrog list (each number is the sum of the two before it): 7, 3, 10, 13, 23, 36, 59, 95, 154, 249. What is 11 × the 7th number?
  36. 36.A leapfrog list starts 8, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  37. 37.A leapfrog list starts 6, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  38. 38.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
  39. 39.4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 + 322 =
  40. 40.A leapfrog list starts 6, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?

Answer key

  1. 693
  2. 308
  3. 858
  4. 726
  5. 605
  6. 946
  7. 693
  8. 429
  9. 308
  10. 825
  11. 286
  12. 1111
  13. 847
  14. 869
  15. 484
  16. 319
  17. 891
  18. 286
  19. 913
  20. 792
  21. 1287
  22. 979
  23. 231
  24. 847
  25. 737
  26. 660
  27. 198
  28. 253
  29. 253
  30. 517
  31. 759
  32. 143
  33. 506
  34. 814
  35. 649
  36. 528
  37. 770
  38. 616
  39. 836
  40. 594

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