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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 167 · 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.A leapfrog list starts 6, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  2. 2.8 + 7 + 15 + 22 + 37 + 59 + 96 + 155 + 251 + 406 =
  3. 3.A leapfrog list starts 6, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  4. 4.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?
  5. 5.Leapfrog list (each number is the sum of the two before it): 8, 1, 9, 10, 19, 29, 48, 77, 125, 202. What is 11 × the 7th number?
  6. 6.A leapfrog list starts 2, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  7. 7.Leapfrog list (each number is the sum of the two before it): 9, 1, 10, 11, 21, 32, 53, 85, 138, 223. What is 11 × the 7th number?
  8. 8.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
  9. 9.A leapfrog list starts 8, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  10. 10.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?
  11. 11.4 + 3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 =
  12. 12.2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 =
  13. 13.A leapfrog list starts 3, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  14. 14.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
  15. 15.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?
  16. 16.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
  17. 17.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
  18. 18.4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 + 288 =
  19. 19.A leapfrog list starts 8, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  20. 20.3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 + 369 =
  21. 21.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
  22. 22.A leapfrog list starts 5, 7 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): 8, 4, 12, 16, 28, 44, 72, 116, 188, 304. What is 11 × the 7th number?
  24. 24.A leapfrog list starts 7, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  25. 25.Leapfrog list (each number is the sum of the two before it): 5, 8, 13, 21, 34, 55, 89, 144, 233, 377. What is 11 × the 7th number?
  26. 26.A leapfrog list starts 2, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  27. 27.A leapfrog list starts 8, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  28. 28.Leapfrog list (each number is the sum of the two before it): 5, 6, 11, 17, 28, 45, 73, 118, 191, 309. What is 11 × the 7th number?
  29. 29.A leapfrog list starts 5, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  30. 30.Leapfrog list (each number is the sum of the two before it): 7, 1, 8, 9, 17, 26, 43, 69, 112, 181. What is 11 × the 7th number?
  31. 31.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?
  32. 32.Leapfrog list (each number is the sum of the two before it): 4, 9, 13, 22, 35, 57, 92, 149, 241, 390. What is 11 × the 7th number?
  33. 33.Leapfrog list (each number is the sum of the two before it): 6, 1, 7, 8, 15, 23, 38, 61, 99, 160. What is 11 × the 7th number?
  34. 34.Leapfrog list (each number is the sum of the two before it): 6, 4, 10, 14, 24, 38, 62, 100, 162, 262. What is 11 × the 7th number?
  35. 35.A leapfrog list starts 2, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  36. 36.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?
  37. 37.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
  38. 38.9 + 3 + 12 + 15 + 27 + 42 + 69 + 111 + 180 + 291 =
  39. 39.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?
  40. 40.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?

Answer key

  1. 682
  2. 1056
  3. 1034
  4. 308
  5. 528
  6. 462
  7. 583
  8. 825
  9. 968
  10. 506
  11. 484
  12. 638
  13. 429
  14. 451
  15. 429
  16. 506
  17. 1122
  18. 748
  19. 616
  20. 957
  21. 462
  22. 891
  23. 792
  24. 473
  25. 979
  26. 902
  27. 1056
  28. 803
  29. 627
  30. 473
  31. 286
  32. 1012
  33. 418
  34. 682
  35. 550
  36. 594
  37. 319
  38. 759
  39. 979
  40. 869

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