Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 428 · 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, 3 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 4, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
3. 3.7 + 1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 =
4. 4.Leapfrog list (each number is the sum of the two before it): 8, 8, 16, 24, 40, 64, 104, 168, 272, 440. What is 11 × the 7th number?
5. 5.Leapfrog list (each number is the sum of the two before it): 8, 7, 15, 22, 37, 59, 96, 155, 251, 406. What is 11 × the 7th number?
6. 6.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
7. 7.Leapfrog list (each number is the sum of the two before it): 9, 8, 17, 25, 42, 67, 109, 176, 285, 461. What is 11 × the 7th number?
8. 8.Leapfrog list (each number is the sum of the two before it): 4, 9, 13, 22, 35, 57, 92, 149, 241, 390. What is 11 × the 7th number?
9. 9.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
10. 10.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?
11. 11.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?
12. 12.A leapfrog list starts 8, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
13. 13.A leapfrog list starts 3, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
14. 14.2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 =
15. 15.A leapfrog list starts 5, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
16. 16.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
17. 17.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
18. 18.A leapfrog list starts 1, 6 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, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
20. 20.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?
21. 21.A leapfrog list starts 7, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
22. 22.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?
23. 23.4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 + 288 =
24. 24.3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 =
25. 25.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
26. 26.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
27. 27.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?
28. 28.Leapfrog list (each number is the sum of the two before it): 5, 1, 6, 7, 13, 20, 33, 53, 86, 139. What is 11 × the 7th number?
29. 29.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
30. 30.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?
31. 31.Leapfrog list (each number is the sum of the two before it): 6, 9, 15, 24, 39, 63, 102, 165, 267, 432. What is 11 × the 7th number?
32. 32.Leapfrog list (each number is the sum of the two before it): 6, 5, 11, 16, 27, 43, 70, 113, 183, 296. What is 11 × the 7th number?
33. 33.6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 + 398 =
34. 34.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
35. 35.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
36. 36.8 + 4 + 12 + 16 + 28 + 44 + 72 + 116 + 188 + 304 =
37. 37.A leapfrog list starts 9, 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 3, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
39. 39.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?
40. 40.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =

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