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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 689 · 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. 1.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
  2. 2.5 + 5 + 10 + 15 + 25 + 40 + 65 + 105 + 170 + 275 =
  3. 3.A leapfrog list starts 4, 2 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 5, 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 4, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  6. 6.Leapfrog list (each number is the sum of the two before it): 9, 8, 17, 25, 42, 67, 109, 176, 285, 461. What is 11 × the 7th number?
  7. 7.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?
  8. 8.Leapfrog list (each number is the sum of the two before it): 4, 8, 12, 20, 32, 52, 84, 136, 220, 356. What is 11 × the 7th number?
  9. 9.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
  10. 10.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?
  11. 11.A leapfrog list starts 9, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  12. 12.8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 + 474 =
  13. 13.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?
  14. 14.A leapfrog list starts 1, 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): 9, 7, 16, 23, 39, 62, 101, 163, 264, 427. What is 11 × the 7th number?
  16. 16.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?
  17. 17.4 + 1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 =
  18. 18.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?
  19. 19.1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 =
  20. 20.6 + 6 + 12 + 18 + 30 + 48 + 78 + 126 + 204 + 330 =
  21. 21.Leapfrog list (each number is the sum of the two before it): 6, 8, 14, 22, 36, 58, 94, 152, 246, 398. What is 11 × the 7th number?
  22. 22.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
  23. 23.9 + 7 + 16 + 23 + 39 + 62 + 101 + 163 + 264 + 427 =
  24. 24.Leapfrog list (each number is the sum of the two before it): 2, 5, 7, 12, 19, 31, 50, 81, 131, 212. What is 11 × the 7th number?
  25. 25.Leapfrog list (each number is the sum of the two before it): 5, 9, 14, 23, 37, 60, 97, 157, 254, 411. What is 11 × the 7th number?
  26. 26.A leapfrog list starts 3, 2 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 3, 8 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 7, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  29. 29.A leapfrog list starts 8, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  30. 30.4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 + 322 =
  31. 31.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?
  32. 32.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?
  33. 33.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
  34. 34.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?
  35. 35.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
  36. 36.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?
  37. 37.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
  38. 38.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?
  39. 39.Leapfrog list (each number is the sum of the two before it): 6, 3, 9, 12, 21, 33, 54, 87, 141, 228. What is 11 × the 7th number?
  40. 40.A leapfrog list starts 9, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?

Answer key

  1. 319
  2. 715
  3. 396
  4. 891
  5. 308
  6. 1199
  7. 847
  8. 924
  9. 429
  10. 286
  11. 935
  12. 1232
  13. 649
  14. 759
  15. 1111
  16. 583
  17. 308
  18. 451
  19. 583
  20. 858
  21. 1034
  22. 682
  23. 1111
  24. 550
  25. 1067
  26. 341
  27. 869
  28. 825
  29. 1144
  30. 836
  31. 880
  32. 451
  33. 528
  34. 418
  35. 539
  36. 616
  37. 825
  38. 517
  39. 594
  40. 1023

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