Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 923 · 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, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
2. 2.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
3. 3.1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 =
4. 4.A leapfrog list starts 4, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
5. 5.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
6. 6.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
7. 7.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?
8. 8.Leapfrog list (each number is the sum of the two before it): 5, 9, 14, 23, 37, 60, 97, 157, 254, 411. What is 11 × the 7th number?
9. 9.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?
10. 10.A leapfrog list starts 6, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
11. 11.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?
12. 12.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
13. 13.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
14. 14.4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 + 322 =
15. 15.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?
16. 16.8 + 7 + 15 + 22 + 37 + 59 + 96 + 155 + 251 + 406 =
17. 17.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?
18. 18.A leapfrog list starts 5, 8 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 1, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
20. 20.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
21. 21.Leapfrog list (each number is the sum of the two before it): 8, 1, 9, 10, 19, 29, 48, 77, 125, 202. What is 11 × the 7th number?
22. 22.A leapfrog list starts 4, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
23. 23.A leapfrog list starts 3, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
24. 24.A leapfrog list starts 3, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
25. 25.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
26. 26.A leapfrog list starts 2, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
27. 27.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
28. 28.5 + 5 + 10 + 15 + 25 + 40 + 65 + 105 + 170 + 275 =
29. 29.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
30. 30.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
31. 31.A leapfrog list starts 1, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
32. 32.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
33. 33.A leapfrog list starts 6, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
34. 34.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
35. 35.Leapfrog list (each number is the sum of the two before it): 5, 8, 13, 21, 34, 55, 89, 144, 233, 377. What is 11 × the 7th number?
36. 36.4 + 4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 =
37. 37.A leapfrog list starts 2, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
38. 38.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
39. 39.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?
40. 40.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?

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