Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 749 · 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 2, 9 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 1, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
3. 3.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
4. 4.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
5. 5.2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 =
6. 6.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?
7. 7.4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 + 288 =
8. 8.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?
9. 9.6 + 1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 =
10. 10.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?
11. 11.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
12. 12.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?
13. 13.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
14. 14.Leapfrog list (each number is the sum of the two before it): 2, 2, 4, 6, 10, 16, 26, 42, 68, 110. What is 11 × the 7th number?
15. 15.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?
16. 16.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?
17. 17.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
18. 18.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?
19. 19.A leapfrog list starts 7, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
20. 20.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
21. 21.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
22. 22.A leapfrog list starts 5, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
23. 23.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
24. 24.6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 + 398 =
25. 25.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
26. 26.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?
27. 27.7 + 3 + 10 + 13 + 23 + 36 + 59 + 95 + 154 + 249 =
28. 28.Leapfrog list (each number is the sum of the two before it): 8, 4, 12, 16, 28, 44, 72, 116, 188, 304. What is 11 × the 7th number?
29. 29.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?
30. 30.A leapfrog list starts 1, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
31. 31.3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 + 335 =
32. 32.A leapfrog list starts 8, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
33. 33.4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 + 322 =
34. 34.2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 =
35. 35.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?
36. 36.Leapfrog list (each number is the sum of the two before it): 1, 4, 5, 9, 14, 23, 37, 60, 97, 157. What is 11 × the 7th number?
37. 37.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?
38. 38.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?
39. 39.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
40. 40.9 + 5 + 14 + 19 + 33 + 52 + 85 + 137 + 222 + 359 =

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