← The leapfrog sum trick lesson New set →

Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 318 · 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 6, 6 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): 9, 3, 12, 15, 27, 42, 69, 111, 180, 291. What is 11 × the 7th number?
  3. 3.8 + 3 + 11 + 14 + 25 + 39 + 64 + 103 + 167 + 270 =
  4. 4.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
  5. 5.A leapfrog list starts 5, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  6. 6.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?
  7. 7.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?
  8. 8.A leapfrog list starts 6, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  9. 9.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?
  10. 10.A leapfrog list starts 5, 4 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): 8, 2, 10, 12, 22, 34, 56, 90, 146, 236. What is 11 × the 7th number?
  12. 12.8 + 8 + 16 + 24 + 40 + 64 + 104 + 168 + 272 + 440 =
  13. 13.Leapfrog list (each number is the sum of the two before it): 9, 8, 17, 25, 42, 67, 109, 176, 285, 461. What is 11 × the 7th number?
  14. 14.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
  15. 15.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
  16. 16.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
  17. 17.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?
  18. 18.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?
  19. 19.Leapfrog list (each number is the sum of the two before it): 2, 1, 3, 4, 7, 11, 18, 29, 47, 76. What is 11 × the 7th number?
  20. 20.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?
  21. 21.Leapfrog list (each number is the sum of the two before it): 7, 3, 10, 13, 23, 36, 59, 95, 154, 249. What is 11 × the 7th number?
  22. 22.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
  23. 23.Leapfrog list (each number is the sum of the two before it): 4, 5, 9, 14, 23, 37, 60, 97, 157, 254. What is 11 × the 7th number?
  24. 24.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?
  25. 25.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
  26. 26.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?
  27. 27.5 + 4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 =
  28. 28.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?
  29. 29.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?
  30. 30.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?
  31. 31.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?
  32. 32.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
  33. 33.A leapfrog list starts 4, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  34. 34.4 + 2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 =
  35. 35.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?
  36. 36.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?
  37. 37.A leapfrog list starts 2, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
  38. 38.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
  39. 39.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?
  40. 40.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =

Answer key

  1. 858
  2. 759
  3. 704
  4. 847
  5. 451
  6. 891
  7. 1287
  8. 418
  9. 1001
  10. 627
  11. 616
  12. 1144
  13. 1199
  14. 1001
  15. 429
  16. 253
  17. 748
  18. 715
  19. 198
  20. 770
  21. 649
  22. 594
  23. 660
  24. 407
  25. 583
  26. 1023
  27. 627
  28. 671
  29. 473
  30. 803
  31. 1232
  32. 462
  33. 660
  34. 396
  35. 693
  36. 649
  37. 286
  38. 506
  39. 957
  40. 451

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