Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 781 · 40 questions

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.

1. 1.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?
2. 2.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
3. 3.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?
4. 4.3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 + 335 =
5. 5.Leapfrog list (each number is the sum of the two before it): 9, 4, 13, 17, 30, 47, 77, 124, 201, 325. What is 11 × the 7th number?
6. 6.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?
7. 7.7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 + 419 =
8. 8.Leapfrog list (each number is the sum of the two before it): 1, 9, 10, 19, 29, 48, 77, 125, 202, 327. What is 11 × the 7th number?
9. 9.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?
10. 10.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
11. 11.Leapfrog list (each number is the sum of the two before it): 5, 3, 8, 11, 19, 30, 49, 79, 128, 207. What is 11 × the 7th number?
12. 12.9 + 6 + 15 + 21 + 36 + 57 + 93 + 150 + 243 + 393 =
13. 13.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?
14. 14.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?
15. 15.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
16. 16.7 + 6 + 13 + 19 + 32 + 51 + 83 + 134 + 217 + 351 =
17. 17.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
18. 18.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?
19. 19.7 + 3 + 10 + 13 + 23 + 36 + 59 + 95 + 154 + 249 =
20. 20.Leapfrog list (each number is the sum of the two before it): 4, 3, 7, 10, 17, 27, 44, 71, 115, 186. What is 11 × the 7th number?
21. 21.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?
22. 22.2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 + 348 =
23. 23.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?
24. 24.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?
25. 25.2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 =
26. 26.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
27. 27.Leapfrog list (each number is the sum of the two before it): 1, 5, 6, 11, 17, 28, 45, 73, 118, 191. What is 11 × the 7th number?
28. 28.A leapfrog list starts 4, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
29. 29.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?
30. 30.A leapfrog list starts 1, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
31. 31.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
32. 32.9 + 5 + 14 + 19 + 33 + 52 + 85 + 137 + 222 + 359 =
33. 33.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?
34. 34.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
35. 35.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
36. 36.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?
37. 37.Leapfrog list (each number is the sum of the two before it): 8, 8, 16, 24, 40, 64, 104, 168, 272, 440. What is 11 × the 7th number?
38. 38.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?
39. 39.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?
40. 40.8 + 7 + 15 + 22 + 37 + 59 + 96 + 155 + 251 + 406 =

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