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
- 1.7 + 3 + 10 + 13 + 23 + 36 + 59 + 95 + 154 + 249 =
- 2.Leapfrog list (each number is the sum of the two before it): 5, 3, 8, 11, 19, 30, 49, 79, 128, 207. What is 11 × the 7th number?
- 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?
- 4.6 + 5 + 11 + 16 + 27 + 43 + 70 + 113 + 183 + 296 =
- 5.Leapfrog list (each number is the sum of the two before it): 4, 2, 6, 8, 14, 22, 36, 58, 94, 152. What is 11 × the 7th number?
- 6.6 + 1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 =
- 7.A leapfrog list starts 2, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 8.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
- 9.A leapfrog list starts 2, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 10.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?
- 11.A leapfrog list starts 5, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 12.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
- 13.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?
- 14.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?
- 15.5 + 5 + 10 + 15 + 25 + 40 + 65 + 105 + 170 + 275 =
- 16.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?
- 17.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
- 18.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?
- 19.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?
- 20.9 + 6 + 15 + 21 + 36 + 57 + 93 + 150 + 243 + 393 =
- 21.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?
- 22.Leapfrog list (each number is the sum of the two before it): 3, 1, 4, 5, 9, 14, 23, 37, 60, 97. What is 11 × the 7th number?
- 23.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
- 24.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
- 25.A leapfrog list starts 8, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 26.Leapfrog list (each number is the sum of the two before it): 8, 5, 13, 18, 31, 49, 80, 129, 209, 338. What is 11 × the 7th number?
- 27.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?
- 28.Leapfrog list (each number is the sum of the two before it): 2, 1, 3, 4, 7, 11, 18, 29, 47, 76. What is 11 × the 7th number?
- 29.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?
- 30.A leapfrog list starts 2, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 31.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
- 32.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?
- 33.Leapfrog list (each number is the sum of the two before it): 4, 7, 11, 18, 29, 47, 76, 123, 199, 322. What is 11 × the 7th number?
- 34.6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 + 398 =
- 35.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
- 36.Leapfrog list (each number is the sum of the two before it): 6, 6, 12, 18, 30, 48, 78, 126, 204, 330. What is 11 × the 7th number?
- 37.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?
- 38.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
- 39.9 + 7 + 16 + 23 + 39 + 62 + 101 + 163 + 264 + 427 =
- 40.A leapfrog list starts 3, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
Answer key
- 649
- 539
- 572
- 770
- 396
- 418
- 638
- 1177
- 814
- 847
- 627
- 847
- 847
- 473
- 715
- 671
- 671
- 429
- 231
- 1023
- 781
- 253
- 539
- 319
- 1232
- 880
- 429
- 198
- 253
- 286
- 341
- 671
- 836
- 1034
- 407
- 858
- 1144
- 451
- 1111
- 869
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