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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 194 · 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. 1.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
  2. 2.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?
  3. 3.8 + 4 + 12 + 16 + 28 + 44 + 72 + 116 + 188 + 304 =
  4. 4.9 + 7 + 16 + 23 + 39 + 62 + 101 + 163 + 264 + 427 =
  5. 5.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?
  6. 6.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?
  7. 7.Leapfrog list (each number is the sum of the two before it): 2, 7, 9, 16, 25, 41, 66, 107, 173, 280. What is 11 × the 7th number?
  8. 8.3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 =
  9. 9.8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 + 474 =
  10. 10.1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 =
  11. 11.5 + 5 + 10 + 15 + 25 + 40 + 65 + 105 + 170 + 275 =
  12. 12.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?
  13. 13.6 + 1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 =
  14. 14.A leapfrog list starts 7, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  15. 15.8 + 5 + 13 + 18 + 31 + 49 + 80 + 129 + 209 + 338 =
  16. 16.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?
  17. 17.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?
  18. 18.A leapfrog list starts 6, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  19. 19.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?
  20. 20.Leapfrog list (each number is the sum of the two before it): 4, 6, 10, 16, 26, 42, 68, 110, 178, 288. What is 11 × the 7th number?
  21. 21.A leapfrog list starts 1, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  22. 22.4 + 2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 =
  23. 23.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
  24. 24.8 + 6 + 14 + 20 + 34 + 54 + 88 + 142 + 230 + 372 =
  25. 25.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
  26. 26.3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 + 335 =
  27. 27.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
  28. 28.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
  29. 29.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
  30. 30.4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 + 288 =
  31. 31.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?
  32. 32.5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 + 377 =
  33. 33.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?
  34. 34.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?
  35. 35.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?
  36. 36.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
  37. 37.Leapfrog list (each number is the sum of the two before it): 8, 8, 16, 24, 40, 64, 104, 168, 272, 440. What is 11 × the 7th number?
  38. 38.Leapfrog list (each number is the sum of the two before it): 7, 8, 15, 23, 38, 61, 99, 160, 259, 419. What is 11 × the 7th number?
  39. 39.A leapfrog list starts 1, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  40. 40.Leapfrog list (each number is the sum of the two before it): 3, 6, 9, 15, 24, 39, 63, 102, 165, 267. What is 11 × the 7th number?

Answer key

  1. 1177
  2. 1199
  3. 792
  4. 1111
  5. 528
  6. 1023
  7. 726
  8. 605
  9. 1232
  10. 671
  11. 715
  12. 363
  13. 418
  14. 561
  15. 880
  16. 451
  17. 737
  18. 418
  19. 308
  20. 748
  21. 407
  22. 396
  23. 1001
  24. 968
  25. 407
  26. 869
  27. 539
  28. 616
  29. 583
  30. 748
  31. 594
  32. 979
  33. 506
  34. 341
  35. 286
  36. 737
  37. 1144
  38. 1089
  39. 319
  40. 693

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