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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 747 · 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 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
  2. 2.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
  3. 3.4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 =
  4. 4.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
  5. 5.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?
  6. 6.Leapfrog list (each number is the sum of the two before it): 4, 2, 6, 8, 14, 22, 36, 58, 94, 152. What is 11 × the 7th number?
  7. 7.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?
  8. 8.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?
  9. 9.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
  10. 10.Leapfrog list (each number is the sum of the two before it): 8, 7, 15, 22, 37, 59, 96, 155, 251, 406. What is 11 × the 7th number?
  11. 11.A leapfrog list starts 8, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  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. 13.7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 + 419 =
  14. 14.3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 =
  15. 15.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?
  16. 16.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?
  17. 17.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?
  18. 18.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?
  19. 19.Leapfrog list (each number is the sum of the two before it): 7, 7, 14, 21, 35, 56, 91, 147, 238, 385. What is 11 × the 7th number?
  20. 20.A leapfrog list starts 8, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  21. 21.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
  22. 22.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
  23. 23.Leapfrog list (each number is the sum of the two before it): 7, 9, 16, 25, 41, 66, 107, 173, 280, 453. What is 11 × the 7th number?
  24. 24.1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 =
  25. 25.4 + 1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 =
  26. 26.4 + 4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 =
  27. 27.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?
  28. 28.2 + 2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 =
  29. 29.Leapfrog list (each number is the sum of the two before it): 6, 7, 13, 20, 33, 53, 86, 139, 225, 364. What is 11 × the 7th number?
  30. 30.A leapfrog list starts 1, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  31. 31.3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 + 335 =
  32. 32.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?
  33. 33.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?
  34. 34.Leapfrog list (each number is the sum of the two before it): 4, 7, 11, 18, 29, 47, 76, 123, 199, 322. What is 11 × the 7th number?
  35. 35.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?
  36. 36.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
  37. 37.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?
  38. 38.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?
  39. 39.A leapfrog list starts 6, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  40. 40.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?

Answer key

  1. 825
  2. 594
  3. 660
  4. 726
  5. 495
  6. 396
  7. 935
  8. 550
  9. 1177
  10. 1056
  11. 704
  12. 363
  13. 1089
  14. 605
  15. 473
  16. 1023
  17. 319
  18. 968
  19. 1001
  20. 792
  21. 781
  22. 682
  23. 1177
  24. 671
  25. 308
  26. 572
  27. 715
  28. 286
  29. 946
  30. 583
  31. 869
  32. 957
  33. 605
  34. 836
  35. 286
  36. 847
  37. 1023
  38. 1056
  39. 858
  40. 374

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