Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 140 · 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. 1.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
2. 2.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
3. 3.4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 =
4. 4.Leapfrog list (each number is the sum of the two before it): 6, 2, 8, 10, 18, 28, 46, 74, 120, 194. What is 11 × the 7th number?
5. 5.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
6. 6.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
7. 7.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
8. 8.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?
9. 9.A leapfrog list starts 2, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
10. 10.4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 + 390 =
11. 11.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
12. 12.Leapfrog list (each number is the sum of the two before it): 2, 6, 8, 14, 22, 36, 58, 94, 152, 246. What is 11 × the 7th number?
13. 13.A leapfrog list starts 3, 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 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
15. 15.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?
16. 16.8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 + 474 =
17. 17.A leapfrog list starts 3, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
18. 18.4 + 3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 =
19. 19.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
20. 20.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
21. 21.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?
22. 22.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?
23. 23.2 + 2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 =
24. 24.A leapfrog list starts 3, 5 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 7, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
26. 26.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
27. 27.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?
28. 28.Leapfrog list (each number is the sum of the two before it): 2, 9, 11, 20, 31, 51, 82, 133, 215, 348. What is 11 × the 7th number?
29. 29.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?
30. 30.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
31. 31.1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 =
32. 32.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?
33. 33.4 + 4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 =
34. 34.8 + 7 + 15 + 22 + 37 + 59 + 96 + 155 + 251 + 406 =
35. 35.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
36. 36.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?
37. 37.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?
38. 38.A leapfrog list starts 4, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
39. 39.4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 + 322 =
40. 40.A leapfrog list starts 4, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?

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