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): 6, 7, 13, 20, 33, 53, 86, 139, 225, 364. What is 11 × the 7th number?
- 2.Leapfrog list (each number is the sum of the two before it): 3, 7, 10, 17, 27, 44, 71, 115, 186, 301. What is 11 × the 7th number?
- 3.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?
- 4.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?
- 5.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?
- 6.A leapfrog list starts 1, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 7.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?
- 8.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
- 9.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
- 10.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
- 11.9 + 3 + 12 + 15 + 27 + 42 + 69 + 111 + 180 + 291 =
- 12.5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 + 309 =
- 13.Leapfrog list (each number is the sum of the two before it): 9, 6, 15, 21, 36, 57, 93, 150, 243, 393. What is 11 × the 7th number?
- 14.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
- 15.Leapfrog list (each number is the sum of the two before it): 3, 9, 12, 21, 33, 54, 87, 141, 228, 369. What is 11 × the 7th number?
- 16.Leapfrog list (each number is the sum of the two before it): 4, 3, 7, 10, 17, 27, 44, 71, 115, 186. What is 11 × the 7th number?
- 17.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?
- 18.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 19.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?
- 20.1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 =
- 21.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?
- 22.Leapfrog list (each number is the sum of the two before it): 6, 3, 9, 12, 21, 33, 54, 87, 141, 228. What is 11 × the 7th number?
- 23.6 + 5 + 11 + 16 + 27 + 43 + 70 + 113 + 183 + 296 =
- 24.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
- 25.Leapfrog list (each number is the sum of the two before it): 9, 2, 11, 13, 24, 37, 61, 98, 159, 257. What is 11 × the 7th number?
- 26.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?
- 27.Leapfrog list (each number is the sum of the two before it): 2, 5, 7, 12, 19, 31, 50, 81, 131, 212. What is 11 × the 7th number?
- 28.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?
- 29.6 + 6 + 12 + 18 + 30 + 48 + 78 + 126 + 204 + 330 =
- 30.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?
- 31.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?
- 32.A leapfrog list starts 4, 7 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 9, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 34.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?
- 35.Leapfrog list (each number is the sum of the two before it): 6, 4, 10, 14, 24, 38, 62, 100, 162, 262. What is 11 × the 7th number?
- 36.A leapfrog list starts 1, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 37.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
- 38.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
- 39.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?
- 40.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
Answer key
- 946
- 781
- 770
- 902
- 484
- 231
- 825
- 671
- 561
- 726
- 759
- 803
- 1023
- 1067
- 957
- 484
- 627
- 143
- 429
- 583
- 407
- 594
- 770
- 814
- 671
- 451
- 550
- 341
- 858
- 935
- 1232
- 836
- 1287
- 1144
- 682
- 407
- 506
- 528
- 935
- 825
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