Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 270 · 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 7, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
2. 2.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?
3. 3.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
4. 4.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
5. 5.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
6. 6.1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 =
7. 7.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?
8. 8.4 + 3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 =
9. 9.2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 =
10. 10.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?
11. 11.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?
12. 12.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
13. 13.6 + 6 + 12 + 18 + 30 + 48 + 78 + 126 + 204 + 330 =
14. 14.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?
15. 15.1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 =
16. 16.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?
17. 17.A leapfrog list starts 6, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
18. 18.A leapfrog list starts 1, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
19. 19.3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 =
20. 20.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
21. 21.A leapfrog list starts 9, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
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): 4, 1, 5, 6, 11, 17, 28, 45, 73, 118. What is 11 × the 7th number?
24. 24.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
25. 25.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
26. 26.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?
27. 27.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
28. 28.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?
29. 29.8 + 3 + 11 + 14 + 25 + 39 + 64 + 103 + 167 + 270 =
30. 30.8 + 5 + 13 + 18 + 31 + 49 + 80 + 129 + 209 + 338 =
31. 31.Leapfrog list (each number is the sum of the two before it): 5, 6, 11, 17, 28, 45, 73, 118, 191, 309. What is 11 × the 7th number?
32. 32.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?
33. 33.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
34. 34.8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 + 474 =
35. 35.Leapfrog list (each number is the sum of the two before it): 3, 8, 11, 19, 30, 49, 79, 128, 207, 335. What is 11 × the 7th number?
36. 36.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
37. 37.A leapfrog list starts 5, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
38. 38.A leapfrog list starts 5, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
39. 39.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
40. 40.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =

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