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Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 343 · 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. 1.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
  2. 2.A leapfrog list starts 8, 8 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 5, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  4. 4.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?
  5. 5.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
  6. 6.Leapfrog list (each number is the sum of the two before it): 5, 8, 13, 21, 34, 55, 89, 144, 233, 377. What is 11 × the 7th number?
  7. 7.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?
  8. 8.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?
  9. 9.9 + 6 + 15 + 21 + 36 + 57 + 93 + 150 + 243 + 393 =
  10. 10.A leapfrog list starts 7, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  11. 11.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?
  12. 12.9 + 4 + 13 + 17 + 30 + 47 + 77 + 124 + 201 + 325 =
  13. 13.A leapfrog list starts 7, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  14. 14.7 + 3 + 10 + 13 + 23 + 36 + 59 + 95 + 154 + 249 =
  15. 15.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?
  16. 16.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?
  17. 17.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?
  18. 18.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?
  19. 19.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?
  20. 20.A leapfrog list starts 3, 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): 3, 1, 4, 5, 9, 14, 23, 37, 60, 97. What is 11 × the 7th number?
  22. 22.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
  23. 23.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
  24. 24.3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 =
  25. 25.A leapfrog list starts 5, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  26. 26.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
  27. 27.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?
  28. 28.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
  29. 29.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?
  30. 30.5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 + 309 =
  31. 31.Leapfrog list (each number is the sum of the two before it): 5, 1, 6, 7, 13, 20, 33, 53, 86, 139. What is 11 × the 7th number?
  32. 32.4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 + 288 =
  33. 33.6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 + 398 =
  34. 34.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?
  35. 35.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
  36. 36.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
  37. 37.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?
  38. 38.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?
  39. 39.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
  40. 40.Leapfrog list (each number is the sum of the two before it): 1, 3, 4, 7, 11, 18, 29, 47, 76, 123. What is 11 × the 7th number?

Answer key

  1. 1287
  2. 1144
  3. 979
  4. 451
  5. 814
  6. 979
  7. 649
  8. 231
  9. 1023
  10. 561
  11. 935
  12. 847
  13. 913
  14. 649
  15. 803
  16. 539
  17. 583
  18. 143
  19. 748
  20. 693
  21. 253
  22. 506
  23. 374
  24. 605
  25. 715
  26. 198
  27. 484
  28. 1001
  29. 517
  30. 803
  31. 363
  32. 748
  33. 1034
  34. 1056
  35. 143
  36. 539
  37. 671
  38. 957
  39. 407
  40. 319

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