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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 591 · 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 4, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  2. 2.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?
  3. 3.A leapfrog list starts 7, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  4. 4.6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 + 398 =
  5. 5.4 + 1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 =
  6. 6.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?
  7. 7.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
  8. 8.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
  9. 9.A leapfrog list starts 6, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  10. 10.4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 + 322 =
  11. 11.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?
  12. 12.A leapfrog list starts 6, 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 4, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  14. 14.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
  15. 15.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
  16. 16.1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 =
  17. 17.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?
  18. 18.Leapfrog list (each number is the sum of the two before it): 8, 9, 17, 26, 43, 69, 112, 181, 293, 474. What is 11 × the 7th number?
  19. 19.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
  20. 20.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?
  21. 21.Leapfrog list (each number is the sum of the two before it): 9, 9, 18, 27, 45, 72, 117, 189, 306, 495. What is 11 × the 7th number?
  22. 22.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?
  23. 23.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?
  24. 24.A leapfrog list starts 1, 1 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 5, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  26. 26.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?
  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. 28.5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 + 309 =
  29. 29.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?
  30. 30.A leapfrog list starts 9, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  31. 31.9 + 7 + 16 + 23 + 39 + 62 + 101 + 163 + 264 + 427 =
  32. 32.Leapfrog list (each number is the sum of the two before it): 7, 6, 13, 19, 32, 51, 83, 134, 217, 351. What is 11 × the 7th number?
  33. 33.Leapfrog list (each number is the sum of the two before it): 1, 4, 5, 9, 14, 23, 37, 60, 97, 157. What is 11 × the 7th number?
  34. 34.A leapfrog list starts 6, 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 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
  36. 36.Leapfrog list (each number is the sum of the two before it): 2, 4, 6, 10, 16, 26, 42, 68, 110, 178. What is 11 × the 7th number?
  37. 37.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?
  38. 38.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
  39. 39.2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 =
  40. 40.3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 + 369 =

Answer key

  1. 836
  2. 572
  3. 825
  4. 1034
  5. 308
  6. 1012
  7. 616
  8. 1287
  9. 770
  10. 836
  11. 1056
  12. 682
  13. 484
  14. 671
  15. 198
  16. 495
  17. 616
  18. 1232
  19. 374
  20. 583
  21. 1287
  22. 748
  23. 869
  24. 143
  25. 891
  26. 143
  27. 715
  28. 803
  29. 1034
  30. 1287
  31. 1111
  32. 913
  33. 407
  34. 1034
  35. 693
  36. 462
  37. 594
  38. 341
  39. 638
  40. 957

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