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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 962 · 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 7, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  2. 2.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?
  3. 3.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
  4. 4.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
  5. 5.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?
  6. 6.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?
  7. 7.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?
  8. 8.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?
  9. 9.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
  10. 10.6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 + 364 =
  11. 11.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?
  12. 12.1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 =
  13. 13.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?
  14. 14.A leapfrog list starts 2, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  15. 15.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
  16. 16.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
  17. 17.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
  18. 18.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
  19. 19.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
  20. 20.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?
  21. 21.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?
  22. 22.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
  23. 23.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?
  24. 24.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
  25. 25.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?
  26. 26.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?
  27. 27.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?
  28. 28.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?
  29. 29.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?
  30. 30.Leapfrog list (each number is the sum of the two before it): 9, 5, 14, 19, 33, 52, 85, 137, 222, 359. What is 11 × the 7th number?
  31. 31.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?
  32. 32.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?
  33. 33.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
  34. 34.Leapfrog list (each number is the sum of the two before it): 8, 2, 10, 12, 22, 34, 56, 90, 146, 236. What is 11 × the 7th number?
  35. 35.8 + 7 + 15 + 22 + 37 + 59 + 96 + 155 + 251 + 406 =
  36. 36.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?
  37. 37.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
  38. 38.5 + 5 + 10 + 15 + 25 + 40 + 65 + 105 + 170 + 275 =
  39. 39.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
  40. 40.A leapfrog list starts 4, 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. 1177
  2. 649
  3. 671
  4. 319
  5. 473
  6. 869
  7. 715
  8. 880
  9. 374
  10. 946
  11. 396
  12. 495
  13. 759
  14. 814
  15. 726
  16. 561
  17. 781
  18. 1122
  19. 1067
  20. 891
  21. 594
  22. 583
  23. 891
  24. 143
  25. 847
  26. 979
  27. 528
  28. 627
  29. 484
  30. 935
  31. 1111
  32. 308
  33. 814
  34. 616
  35. 1056
  36. 858
  37. 429
  38. 715
  39. 231
  40. 924

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