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.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?
- 2.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
- 3.Leapfrog list (each number is the sum of the two before it): 4, 4, 8, 12, 20, 32, 52, 84, 136, 220. What is 11 × the 7th number?
- 4.1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 =
- 5.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
- 6.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?
- 7.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?
- 8.A leapfrog list starts 9, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 9.4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 + 288 =
- 10.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?
- 11.Leapfrog list (each number is the sum of the two before it): 9, 3, 12, 15, 27, 42, 69, 111, 180, 291. What is 11 × the 7th number?
- 12.Leapfrog list (each number is the sum of the two before it): 6, 7, 13, 20, 33, 53, 86, 139, 225, 364. What is 11 × the 7th number?
- 13.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
- 14.8 + 7 + 15 + 22 + 37 + 59 + 96 + 155 + 251 + 406 =
- 15.2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 + 348 =
- 16.Leapfrog list (each number is the sum of the two before it): 4, 8, 12, 20, 32, 52, 84, 136, 220, 356. What is 11 × the 7th number?
- 17.A leapfrog list starts 8, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 18.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?
- 19.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?
- 20.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?
- 21.A leapfrog list starts 4, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 22.9 + 7 + 16 + 23 + 39 + 62 + 101 + 163 + 264 + 427 =
- 23.A leapfrog list starts 8, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 24.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?
- 25.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?
- 26.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?
- 27.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?
- 28.Leapfrog list (each number is the sum of the two before it): 3, 4, 7, 11, 18, 29, 47, 76, 123, 199. What is 11 × the 7th number?
- 29.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
- 30.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 31.A leapfrog list starts 8, 5 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 1, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 33.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?
- 34.A leapfrog list starts 8, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 35.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
- 36.A leapfrog list starts 7, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 37.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
- 38.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
- 39.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
- 40.Leapfrog list (each number is the sum of the two before it): 5, 4, 9, 13, 22, 35, 57, 92, 149, 241. What is 11 × the 7th number?
Answer key
- 902
- 253
- 572
- 495
- 528
- 374
- 583
- 847
- 748
- 462
- 759
- 946
- 1001
- 1056
- 902
- 924
- 704
- 671
- 935
- 616
- 660
- 1111
- 968
- 528
- 286
- 605
- 1111
- 517
- 737
- 143
- 880
- 143
- 561
- 1144
- 1122
- 1001
- 231
- 451
- 374
- 627
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