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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 22 · 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. 1.6 + 6 + 12 + 18 + 30 + 48 + 78 + 126 + 204 + 330 =
  2. 2.4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 =
  3. 3.A leapfrog list starts 6, 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 3, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  5. 5.9 + 5 + 14 + 19 + 33 + 52 + 85 + 137 + 222 + 359 =
  6. 6.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?
  7. 7.Leapfrog list (each number is the sum of the two before it): 2, 9, 11, 20, 31, 51, 82, 133, 215, 348. What is 11 × the 7th number?
  8. 8.A leapfrog list starts 3, 7 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): 6, 3, 9, 12, 21, 33, 54, 87, 141, 228. What is 11 × the 7th number?
  10. 10.3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 + 335 =
  11. 11.1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 =
  12. 12.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
  13. 13.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?
  14. 14.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?
  15. 15.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?
  16. 16.7 + 6 + 13 + 19 + 32 + 51 + 83 + 134 + 217 + 351 =
  17. 17.1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 =
  18. 18.2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 + 348 =
  19. 19.3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 =
  20. 20.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?
  21. 21.A leapfrog list starts 4, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  22. 22.Leapfrog list (each number is the sum of the two before it): 1, 1, 2, 3, 5, 8, 13, 21, 34, 55. What is 11 × the 7th number?
  23. 23.Leapfrog list (each number is the sum of the two before it): 6, 5, 11, 16, 27, 43, 70, 113, 183, 296. What is 11 × the 7th number?
  24. 24.Leapfrog list (each number is the sum of the two before it): 2, 6, 8, 14, 22, 36, 58, 94, 152, 246. What is 11 × the 7th number?
  25. 25.Leapfrog list (each number is the sum of the two before it): 8, 1, 9, 10, 19, 29, 48, 77, 125, 202. What is 11 × the 7th number?
  26. 26.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?
  27. 27.Leapfrog list (each number is the sum of the two before it): 3, 9, 12, 21, 33, 54, 87, 141, 228, 369. What is 11 × the 7th number?
  28. 28.4 + 1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 =
  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. 30.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
  31. 31.A leapfrog list starts 5, 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): 2, 2, 4, 6, 10, 16, 26, 42, 68, 110. What is 11 × the 7th number?
  33. 33.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?
  34. 34.5 + 4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 =
  35. 35.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?
  36. 36.4 + 4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 =
  37. 37.A leapfrog list starts 9, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  38. 38.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?
  39. 39.4 + 2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 =
  40. 40.A leapfrog list starts 5, 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. 858
  2. 660
  3. 506
  4. 253
  5. 935
  6. 605
  7. 902
  8. 781
  9. 594
  10. 869
  11. 759
  12. 539
  13. 869
  14. 781
  15. 715
  16. 913
  17. 671
  18. 902
  19. 605
  20. 198
  21. 572
  22. 143
  23. 770
  24. 638
  25. 528
  26. 374
  27. 957
  28. 308
  29. 484
  30. 825
  31. 715
  32. 286
  33. 363
  34. 627
  35. 484
  36. 572
  37. 583
  38. 495
  39. 396
  40. 803

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