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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 563 · 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 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 =
  2. 2.Leapfrog list (each number is the sum of the two before it): 5, 4, 9, 13, 22, 35, 57, 92, 149, 241. What is 11 × the 7th number?
  3. 3.4 + 1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 =
  4. 4.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?
  5. 5.Leapfrog list (each number is the sum of the two before it): 5, 5, 10, 15, 25, 40, 65, 105, 170, 275. What is 11 × the 7th number?
  6. 6.Leapfrog list (each number is the sum of the two before it): 3, 8, 11, 19, 30, 49, 79, 128, 207, 335. What is 11 × the 7th number?
  7. 7.A leapfrog list starts 2, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  8. 8.A leapfrog list starts 2, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  9. 9.Leapfrog list (each number is the sum of the two before it): 1, 9, 10, 19, 29, 48, 77, 125, 202, 327. What is 11 × the 7th number?
  10. 10.4 + 2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 =
  11. 11.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
  12. 12.Leapfrog list (each number is the sum of the two before it): 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. What is 11 × the 7th number?
  13. 13.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?
  14. 14.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?
  15. 15.8 + 4 + 12 + 16 + 28 + 44 + 72 + 116 + 188 + 304 =
  16. 16.A leapfrog list starts 6, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  17. 17.Leapfrog list (each number is the sum of the two before it): 6, 9, 15, 24, 39, 63, 102, 165, 267, 432. What is 11 × the 7th number?
  18. 18.Leapfrog list (each number is the sum of the two before it): 9, 2, 11, 13, 24, 37, 61, 98, 159, 257. What is 11 × the 7th number?
  19. 19.1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 =
  20. 20.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?
  21. 21.Leapfrog list (each number is the sum of the two before it): 8, 3, 11, 14, 25, 39, 64, 103, 167, 270. What is 11 × the 7th number?
  22. 22.7 + 3 + 10 + 13 + 23 + 36 + 59 + 95 + 154 + 249 =
  23. 23.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?
  24. 24.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?
  25. 25.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?
  26. 26.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?
  27. 27.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
  28. 28.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
  29. 29.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?
  30. 30.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?
  31. 31.A leapfrog list starts 2, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  32. 32.4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 + 288 =
  33. 33.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
  34. 34.5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 + 343 =
  35. 35.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
  36. 36.A leapfrog list starts 1, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  37. 37.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?
  38. 38.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
  39. 39.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?
  40. 40.Leapfrog list (each number is the sum of the two before it): 2, 4, 6, 10, 16, 26, 42, 68, 110, 178. What is 11 × the 7th number?

Answer key

  1. 605
  2. 627
  3. 308
  4. 1144
  5. 715
  6. 869
  7. 198
  8. 374
  9. 847
  10. 396
  11. 594
  12. 374
  13. 539
  14. 759
  15. 792
  16. 858
  17. 1122
  18. 671
  19. 583
  20. 1199
  21. 704
  22. 649
  23. 363
  24. 770
  25. 253
  26. 286
  27. 814
  28. 506
  29. 506
  30. 979
  31. 638
  32. 748
  33. 429
  34. 891
  35. 781
  36. 143
  37. 858
  38. 671
  39. 924
  40. 462

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