← The leapfrog sum trick lesson New set →

Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 878 · 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. 1.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
  2. 2.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
  3. 3.7 + 1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 =
  4. 4.Leapfrog list (each number is the sum of the two before it): 6, 5, 11, 16, 27, 43, 70, 113, 183, 296. What is 11 × the 7th number?
  5. 5.6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 + 364 =
  6. 6.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?
  7. 7.Leapfrog list (each number is the sum of the two before it): 3, 6, 9, 15, 24, 39, 63, 102, 165, 267. What is 11 × the 7th number?
  8. 8.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?
  9. 9.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?
  10. 10.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?
  11. 11.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?
  12. 12.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?
  13. 13.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?
  14. 14.A leapfrog list starts 2, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  15. 15.Leapfrog list (each number is the sum of the two before it): 4, 1, 5, 6, 11, 17, 28, 45, 73, 118. What is 11 × the 7th number?
  16. 16.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?
  17. 17.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
  18. 18.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
  19. 19.9 + 6 + 15 + 21 + 36 + 57 + 93 + 150 + 243 + 393 =
  20. 20.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
  21. 21.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
  22. 22.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
  23. 23.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?
  24. 24.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
  25. 25.9 + 5 + 14 + 19 + 33 + 52 + 85 + 137 + 222 + 359 =
  26. 26.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?
  27. 27.Leapfrog list (each number is the sum of the two before it): 7, 1, 8, 9, 17, 26, 43, 69, 112, 181. What is 11 × the 7th number?
  28. 28.1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 =
  29. 29.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?
  30. 30.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
  31. 31.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?
  32. 32.A leapfrog list starts 7, 7 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 2, 7 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, 2, 6, 8, 14, 22, 36, 58, 94, 152. What is 11 × the 7th number?
  35. 35.9 + 3 + 12 + 15 + 27 + 42 + 69 + 111 + 180 + 291 =
  36. 36.Leapfrog list (each number is the sum of the two before it): 3, 2, 5, 7, 12, 19, 31, 50, 81, 131. What is 11 × the 7th number?
  37. 37.Leapfrog list (each number is the sum of the two before it): 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. What is 11 × the 7th number?
  38. 38.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?
  39. 39.A leapfrog list starts 9, 2 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 4, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?

Answer key

  1. 363
  2. 682
  3. 473
  4. 770
  5. 946
  6. 825
  7. 693
  8. 396
  9. 858
  10. 1001
  11. 627
  12. 605
  13. 671
  14. 462
  15. 308
  16. 1056
  17. 693
  18. 143
  19. 1023
  20. 671
  21. 781
  22. 1199
  23. 814
  24. 407
  25. 935
  26. 770
  27. 473
  28. 495
  29. 429
  30. 1177
  31. 1023
  32. 1001
  33. 726
  34. 396
  35. 759
  36. 341
  37. 374
  38. 231
  39. 671
  40. 748

Free maths tricks lessons, practice and worksheets at talentjr.in/maths-tricks