Leapfrog Sum Trick Worksheet
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.
NameDateTime takenScore ___ / 40
- 1.Leapfrog list (each number is the sum of the two before it): 8, 9, 17, 26, 43, 69, 112, 181, 293, 474. What is 11 × the 7th number?
- 2.Leapfrog list (each number is the sum of the two before it): 3, 3, 6, 9, 15, 24, 39, 63, 102, 165. What is 11 × the 7th number?
- 3.Leapfrog list (each number is the sum of the two before it): 2, 4, 6, 10, 16, 26, 42, 68, 110, 178. What is 11 × the 7th number?
- 4.Leapfrog list (each number is the sum of the two before it): 1, 7, 8, 15, 23, 38, 61, 99, 160, 259. What is 11 × the 7th number?
- 5.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
- 6.9 + 4 + 13 + 17 + 30 + 47 + 77 + 124 + 201 + 325 =
- 7.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 8.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?
- 9.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?
- 10.Leapfrog list (each number is the sum of the two before it): 1, 1, 2, 3, 5, 8, 13, 21, 34, 55. What is 11 × the 7th number?
- 11.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
- 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.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?
- 14.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
- 15.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
- 16.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?
- 17.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
- 18.A leapfrog list starts 8, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 19.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
- 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.Leapfrog list (each number is the sum of the two before it): 8, 3, 11, 14, 25, 39, 64, 103, 167, 270. What is 11 × the 7th number?
- 22.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
- 23.Leapfrog list (each number is the sum of the two before it): 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. What is 11 × the 7th number?
- 24.Leapfrog list (each number is the sum of the two before it): 7, 1, 8, 9, 17, 26, 43, 69, 112, 181. What is 11 × the 7th number?
- 25.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?
- 26.8 + 8 + 16 + 24 + 40 + 64 + 104 + 168 + 272 + 440 =
- 27.Leapfrog list (each number is the sum of the two before it): 9, 4, 13, 17, 30, 47, 77, 124, 201, 325. What is 11 × the 7th number?
- 28.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?
- 29.Leapfrog list (each number is the sum of the two before it): 8, 6, 14, 20, 34, 54, 88, 142, 230, 372. What is 11 × the 7th number?
- 30.4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 + 390 =
- 31.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?
- 32.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?
- 33.4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 + 356 =
- 34.A leapfrog list starts 5, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 35.Leapfrog list (each number is the sum of the two before it): 7, 9, 16, 25, 41, 66, 107, 173, 280, 453. What is 11 × the 7th number?
- 36.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
- 37.Leapfrog list (each number is the sum of the two before it): 9, 7, 16, 23, 39, 62, 101, 163, 264, 427. What is 11 × the 7th number?
- 38.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?
- 39.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?
- 40.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
Answer key
- 1232
- 429
- 462
- 671
- 429
- 847
- 143
- 198
- 506
- 143
- 1001
- 616
- 407
- 726
- 451
- 1144
- 407
- 792
- 374
- 495
- 704
- 583
- 231
- 473
- 451
- 1144
- 847
- 583
- 968
- 1012
- 418
- 649
- 924
- 891
- 1177
- 671
- 1111
- 792
- 528
- 682
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