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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 696 · 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 5, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  2. 2.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?
  3. 3.A leapfrog list starts 9, 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 2, 1 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 9, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  6. 6.Leapfrog list (each number is the sum of the two before it): 6, 1, 7, 8, 15, 23, 38, 61, 99, 160. What is 11 × the 7th number?
  7. 7.Leapfrog list (each number is the sum of the two before it): 7, 2, 9, 11, 20, 31, 51, 82, 133, 215. What is 11 × the 7th number?
  8. 8.Leapfrog list (each number is the sum of the two before it): 2, 8, 10, 18, 28, 46, 74, 120, 194, 314. What is 11 × the 7th number?
  9. 9.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?
  10. 10.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
  11. 11.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?
  12. 12.A leapfrog list starts 2, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  13. 13.Leapfrog list (each number is the sum of the two before it): 9, 7, 16, 23, 39, 62, 101, 163, 264, 427. What is 11 × the 7th number?
  14. 14.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?
  15. 15.A leapfrog list starts 4, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  16. 16.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
  17. 17.Leapfrog list (each number is the sum of the two before it): 5, 2, 7, 9, 16, 25, 41, 66, 107, 173. What is 11 × the 7th number?
  18. 18.A leapfrog list starts 2, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  19. 19.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?
  20. 20.Leapfrog list (each number is the sum of the two before it): 7, 5, 12, 17, 29, 46, 75, 121, 196, 317. What is 11 × the 7th number?
  21. 21.Leapfrog list (each number is the sum of the two before it): 6, 4, 10, 14, 24, 38, 62, 100, 162, 262. What is 11 × the 7th number?
  22. 22.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
  23. 23.A leapfrog list starts 5, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  24. 24.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?
  25. 25.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?
  26. 26.5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 + 377 =
  27. 27.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?
  28. 28.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?
  29. 29.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
  30. 30.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
  31. 31.A leapfrog list starts 8, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  32. 32.9 + 6 + 15 + 21 + 36 + 57 + 93 + 150 + 243 + 393 =
  33. 33.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?
  34. 34.A leapfrog list starts 2, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  35. 35.4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 + 288 =
  36. 36.A leapfrog list starts 5, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  37. 37.6 + 6 + 12 + 18 + 30 + 48 + 78 + 126 + 204 + 330 =
  38. 38.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
  39. 39.Leapfrog list (each number is the sum of the two before it): 9, 3, 12, 15, 27, 42, 69, 111, 180, 291. What is 11 × the 7th number?
  40. 40.7 + 3 + 10 + 13 + 23 + 36 + 59 + 95 + 154 + 249 =

Answer key

  1. 803
  2. 253
  3. 671
  4. 198
  5. 847
  6. 418
  7. 561
  8. 814
  9. 638
  10. 363
  11. 902
  12. 726
  13. 1111
  14. 671
  15. 748
  16. 1199
  17. 451
  18. 550
  19. 814
  20. 825
  21. 682
  22. 341
  23. 627
  24. 594
  25. 726
  26. 979
  27. 1177
  28. 143
  29. 737
  30. 1001
  31. 616
  32. 1023
  33. 407
  34. 462
  35. 748
  36. 1067
  37. 858
  38. 693
  39. 759
  40. 649

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