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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 361 · 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. 1.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
  2. 2.3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 =
  3. 3.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?
  4. 4.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
  5. 5.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?
  6. 6.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?
  7. 7.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?
  8. 8.6 + 5 + 11 + 16 + 27 + 43 + 70 + 113 + 183 + 296 =
  9. 9.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?
  10. 10.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?
  11. 11.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
  12. 12.A leapfrog list starts 3, 4 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, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  14. 14.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?
  15. 15.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
  16. 16.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?
  17. 17.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?
  18. 18.Leapfrog list (each number is the sum of the two before it): 4, 4, 8, 12, 20, 32, 52, 84, 136, 220. What is 11 × the 7th number?
  19. 19.Leapfrog list (each number is the sum of the two before it): 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. What is 11 × the 7th number?
  20. 20.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
  21. 21.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
  22. 22.Leapfrog list (each number is the sum of the two before it): 4, 8, 12, 20, 32, 52, 84, 136, 220, 356. What is 11 × the 7th number?
  23. 23.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?
  24. 24.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
  25. 25.Leapfrog list (each number is the sum of the two before it): 4, 9, 13, 22, 35, 57, 92, 149, 241, 390. What is 11 × the 7th number?
  26. 26.5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 + 309 =
  27. 27.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?
  28. 28.Leapfrog list (each number is the sum of the two before it): 3, 8, 11, 19, 30, 49, 79, 128, 207, 335. What is 11 × the 7th number?
  29. 29.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?
  30. 30.Leapfrog list (each number is the sum of the two before it): 8, 6, 14, 20, 34, 54, 88, 142, 230, 372. What is 11 × the 7th number?
  31. 31.1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 =
  32. 32.Leapfrog list (each number is the sum of the two before it): 5, 4, 9, 13, 22, 35, 57, 92, 149, 241. What is 11 × the 7th number?
  33. 33.A leapfrog list starts 8, 1 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 1, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  35. 35.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
  36. 36.A leapfrog list starts 6, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  37. 37.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
  38. 38.2 + 2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 =
  39. 39.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?
  40. 40.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?

Answer key

  1. 319
  2. 517
  3. 550
  4. 814
  5. 363
  6. 748
  7. 1111
  8. 770
  9. 671
  10. 253
  11. 594
  12. 517
  13. 957
  14. 858
  15. 374
  16. 803
  17. 506
  18. 572
  19. 231
  20. 682
  21. 198
  22. 924
  23. 1111
  24. 1287
  25. 1012
  26. 803
  27. 396
  28. 869
  29. 1023
  30. 968
  31. 583
  32. 627
  33. 528
  34. 759
  35. 341
  36. 594
  37. 693
  38. 286
  39. 869
  40. 594

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