Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 221 · 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.A leapfrog list starts 8, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
2. 2.1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 =
3. 3.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?
4. 4.A leapfrog list starts 6, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
5. 5.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?
6. 6.8 + 8 + 16 + 24 + 40 + 64 + 104 + 168 + 272 + 440 =
7. 7.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?
8. 8.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?
9. 9.9 + 6 + 15 + 21 + 36 + 57 + 93 + 150 + 243 + 393 =
10. 10.Leapfrog list (each number is the sum of the two before it): 5, 7, 12, 19, 31, 50, 81, 131, 212, 343. What is 11 × the 7th number?
11. 11.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
12. 12.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
13. 13.Leapfrog list (each number is the sum of the two before it): 3, 1, 4, 5, 9, 14, 23, 37, 60, 97. What is 11 × the 7th number?
14. 14.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?
15. 15.A leapfrog list starts 2, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
16. 16.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
17. 17.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
18. 18.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?
19. 19.Leapfrog list (each number is the sum of the two before it): 9, 1, 10, 11, 21, 32, 53, 85, 138, 223. What is 11 × the 7th number?
20. 20.A leapfrog list starts 3, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
21. 21.2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 + 348 =
22. 22.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?
23. 23.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?
24. 24.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?
25. 25.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
26. 26.A leapfrog list starts 9, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
27. 27.3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 + 335 =
28. 28.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?
29. 29.3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 =
30. 30.A leapfrog list starts 1, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
31. 31.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
32. 32.Leapfrog list (each number is the sum of the two before it): 1, 8, 9, 17, 26, 43, 69, 112, 181, 293. What is 11 × the 7th number?
33. 33.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
34. 34.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?
35. 35.A leapfrog list starts 1, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
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): 7, 8, 15, 23, 38, 61, 99, 160, 259, 419. What is 11 × the 7th number?
38. 38.2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 =
39. 39.A leapfrog list starts 8, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
40. 40.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =

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