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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 394 · 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 4, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  2. 2.A leapfrog list starts 1, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  3. 3.Leapfrog list (each number is the sum of the two before it): 8, 9, 17, 26, 43, 69, 112, 181, 293, 474. What is 11 × the 7th number?
  4. 4.A leapfrog list starts 5, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  5. 5.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
  6. 6.3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 + 335 =
  7. 7.6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 + 398 =
  8. 8.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
  9. 9.Leapfrog list (each number is the sum of the two before it): 5, 2, 7, 9, 16, 25, 41, 66, 107, 173. What is 11 × the 7th number?
  10. 10.Leapfrog list (each number is the sum of the two before it): 5, 1, 6, 7, 13, 20, 33, 53, 86, 139. What is 11 × the 7th number?
  11. 11.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?
  12. 12.Leapfrog list (each number is the sum of the two before it): 4, 2, 6, 8, 14, 22, 36, 58, 94, 152. What is 11 × the 7th number?
  13. 13.A leapfrog list starts 7, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  14. 14.A leapfrog list starts 8, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  15. 15.A leapfrog list starts 6, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  16. 16.4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 + 288 =
  17. 17.A leapfrog list starts 8, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  18. 18.Leapfrog list (each number is the sum of the two before it): 6, 2, 8, 10, 18, 28, 46, 74, 120, 194. What is 11 × the 7th number?
  19. 19.A leapfrog list starts 6, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  20. 20.A leapfrog list starts 5, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  21. 21.Leapfrog list (each number is the sum of the two before it): 5, 3, 8, 11, 19, 30, 49, 79, 128, 207. What is 11 × the 7th number?
  22. 22.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
  23. 23.Leapfrog list (each number is the sum of the two before it): 7, 7, 14, 21, 35, 56, 91, 147, 238, 385. What is 11 × the 7th number?
  24. 24.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?
  25. 25.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
  26. 26.Leapfrog list (each number is the sum of the two before it): 7, 4, 11, 15, 26, 41, 67, 108, 175, 283. What is 11 × the 7th number?
  27. 27.A leapfrog list starts 5, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  28. 28.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?
  29. 29.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
  30. 30.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?
  31. 31.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
  32. 32.Leapfrog list (each number is the sum of the two before it): 1, 4, 5, 9, 14, 23, 37, 60, 97, 157. What is 11 × the 7th number?
  33. 33.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
  34. 34.A leapfrog list starts 4, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  35. 35.1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 =
  36. 36.Leapfrog list (each number is the sum of the two before it): 5, 7, 12, 19, 31, 50, 81, 131, 212, 343. What is 11 × the 7th number?
  37. 37.4 + 1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 =
  38. 38.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
  39. 39.5 + 4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 =
  40. 40.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =

Answer key

  1. 484
  2. 495
  3. 1232
  4. 539
  5. 253
  6. 869
  7. 1034
  8. 847
  9. 451
  10. 363
  11. 1034
  12. 396
  13. 913
  14. 880
  15. 418
  16. 748
  17. 704
  18. 506
  19. 1122
  20. 363
  21. 539
  22. 143
  23. 1001
  24. 473
  25. 374
  26. 737
  27. 451
  28. 682
  29. 781
  30. 605
  31. 1122
  32. 407
  33. 814
  34. 836
  35. 759
  36. 891
  37. 308
  38. 583
  39. 627
  40. 462

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