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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 902 · 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. 1.4 + 4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 =
  2. 2.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?
  3. 3.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?
  4. 4.A leapfrog list starts 5, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  5. 5.8 + 4 + 12 + 16 + 28 + 44 + 72 + 116 + 188 + 304 =
  6. 6.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
  7. 7.4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 + 390 =
  8. 8.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
  9. 9.Leapfrog list (each number is the sum of the two before it): 2, 5, 7, 12, 19, 31, 50, 81, 131, 212. What is 11 × the 7th number?
  10. 10.9 + 3 + 12 + 15 + 27 + 42 + 69 + 111 + 180 + 291 =
  11. 11.Leapfrog list (each number is the sum of the two before it): 3, 1, 4, 5, 9, 14, 23, 37, 60, 97. What is 11 × the 7th number?
  12. 12.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?
  13. 13.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?
  14. 14.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
  15. 15.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?
  16. 16.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
  17. 17.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
  18. 18.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?
  19. 19.7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 + 419 =
  20. 20.Leapfrog list (each number is the sum of the two before it): 3, 3, 6, 9, 15, 24, 39, 63, 102, 165. What is 11 × the 7th number?
  21. 21.Leapfrog list (each number is the sum of the two before it): 9, 6, 15, 21, 36, 57, 93, 150, 243, 393. What is 11 × the 7th number?
  22. 22.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
  23. 23.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?
  24. 24.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?
  25. 25.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?
  26. 26.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
  27. 27.Leapfrog list (each number is the sum of the two before it): 6, 8, 14, 22, 36, 58, 94, 152, 246, 398. What is 11 × the 7th number?
  28. 28.A leapfrog list starts 1, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  29. 29.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?
  30. 30.A leapfrog list starts 9, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  31. 31.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?
  32. 32.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?
  33. 33.A leapfrog list starts 7, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  34. 34.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?
  35. 35.2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 =
  36. 36.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?
  37. 37.A leapfrog list starts 3, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  38. 38.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
  39. 39.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
  40. 40.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =

Answer key

  1. 572
  2. 781
  3. 814
  4. 539
  5. 792
  6. 319
  7. 1012
  8. 594
  9. 550
  10. 759
  11. 253
  12. 1111
  13. 341
  14. 231
  15. 759
  16. 528
  17. 1199
  18. 748
  19. 1089
  20. 429
  21. 1023
  22. 825
  23. 605
  24. 891
  25. 572
  26. 682
  27. 1034
  28. 671
  29. 726
  30. 759
  31. 891
  32. 583
  33. 649
  34. 748
  35. 550
  36. 396
  37. 429
  38. 198
  39. 847
  40. 561

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