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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 312 · 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 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
  2. 2.4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 =
  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 7, 6 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 7, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  6. 6.4 + 3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 =
  7. 7.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
  8. 8.Leapfrog list (each number is the sum of the two before it): 3, 5, 8, 13, 21, 34, 55, 89, 144, 233. What is 11 × the 7th number?
  9. 9.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
  10. 10.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?
  11. 11.Leapfrog list (each number is the sum of the two before it): 3, 7, 10, 17, 27, 44, 71, 115, 186, 301. What is 11 × the 7th number?
  12. 12.Leapfrog list (each number is the sum of the two before it): 1, 5, 6, 11, 17, 28, 45, 73, 118, 191. What is 11 × the 7th number?
  13. 13.1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 =
  14. 14.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?
  15. 15.A leapfrog list starts 7, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  16. 16.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?
  17. 17.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?
  18. 18.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
  19. 19.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?
  20. 20.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?
  21. 21.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
  22. 22.A leapfrog list starts 4, 9 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): 5, 8, 13, 21, 34, 55, 89, 144, 233, 377. 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. 25.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
  26. 26.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?
  27. 27.Leapfrog list (each number is the sum of the two before it): 7, 6, 13, 19, 32, 51, 83, 134, 217, 351. What is 11 × the 7th number?
  28. 28.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?
  29. 29.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?
  30. 30.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?
  31. 31.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?
  32. 32.8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 + 474 =
  33. 33.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?
  34. 34.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
  35. 35.5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 + 309 =
  36. 36.5 + 4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 =
  37. 37.6 + 5 + 11 + 16 + 27 + 43 + 70 + 113 + 183 + 296 =
  38. 38.2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 =
  39. 39.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?
  40. 40.4 + 4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 =

Answer key

  1. 231
  2. 660
  3. 396
  4. 913
  5. 737
  6. 484
  7. 451
  8. 605
  9. 462
  10. 869
  11. 781
  12. 495
  13. 671
  14. 715
  15. 1001
  16. 374
  17. 363
  18. 561
  19. 605
  20. 847
  21. 143
  22. 1012
  23. 979
  24. 473
  25. 682
  26. 891
  27. 913
  28. 891
  29. 968
  30. 484
  31. 1056
  32. 1232
  33. 935
  34. 374
  35. 803
  36. 627
  37. 770
  38. 638
  39. 341
  40. 572

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