Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 882 · 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. 1.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
2. 2.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
3. 3.A leapfrog list starts 9, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
4. 4.4 + 1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 =
5. 5.Leapfrog list (each number is the sum of the two before it): 2, 4, 6, 10, 16, 26, 42, 68, 110, 178. What is 11 × the 7th number?
6. 6.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?
7. 7.Leapfrog list (each number is the sum of the two before it): 4, 6, 10, 16, 26, 42, 68, 110, 178, 288. What is 11 × the 7th number?
8. 8.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
9. 9.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?
10. 10.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?
11. 11.5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 + 343 =
12. 12.Leapfrog list (each number is the sum of the two before it): 8, 3, 11, 14, 25, 39, 64, 103, 167, 270. What is 11 × the 7th number?
13. 13.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?
14. 14.2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 + 348 =
15. 15.A leapfrog list starts 1, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
16. 16.3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 =
17. 17.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
18. 18.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
19. 19.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?
20. 20.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
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. 22.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
23. 23.Leapfrog list (each number is the sum of the two before it): 4, 4, 8, 12, 20, 32, 52, 84, 136, 220. What is 11 × the 7th number?
24. 24.3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 + 369 =
25. 25.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?
26. 26.Leapfrog list (each number is the sum of the two before it): 2, 7, 9, 16, 25, 41, 66, 107, 173, 280. What is 11 × the 7th number?
27. 27.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
28. 28.Leapfrog list (each number is the sum of the two before it): 7, 2, 9, 11, 20, 31, 51, 82, 133, 215. What is 11 × the 7th number?
29. 29.4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 + 390 =
30. 30.Leapfrog list (each number is the sum of the two before it): 4, 7, 11, 18, 29, 47, 76, 123, 199, 322. What is 11 × the 7th number?
31. 31.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?
32. 32.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
33. 33.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
34. 34.A leapfrog list starts 2, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
35. 35.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
36. 36.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
37. 37.Leapfrog list (each number is the sum of the two before it): 1, 6, 7, 13, 20, 33, 53, 86, 139, 225. What is 11 × the 7th number?
38. 38.5 + 5 + 10 + 15 + 25 + 40 + 65 + 105 + 170 + 275 =
39. 39.8 + 3 + 11 + 14 + 25 + 39 + 64 + 103 + 167 + 270 =
40. 40.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?

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