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
- 1.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
- 2.Leapfrog list (each number is the sum of the two before it): 5, 6, 11, 17, 28, 45, 73, 118, 191, 309. What is 11 × the 7th number?
- 3.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
- 4.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
- 5.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
- 6.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?
- 7.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?
- 8.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?
- 9.6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 + 398 =
- 10.A leapfrog list starts 4, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 11.5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 + 377 =
- 12.Leapfrog list (each number is the sum of the two before it): 2, 6, 8, 14, 22, 36, 58, 94, 152, 246. What is 11 × the 7th number?
- 13.4 + 3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 =
- 14.Leapfrog list (each number is the sum of the two before it): 3, 6, 9, 15, 24, 39, 63, 102, 165, 267. What is 11 × the 7th number?
- 15.A leapfrog list starts 9, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 16.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?
- 17.8 + 5 + 13 + 18 + 31 + 49 + 80 + 129 + 209 + 338 =
- 18.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?
- 19.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?
- 20.A leapfrog list starts 4, 8 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 3, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 22.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?
- 23.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
- 24.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
- 25.Leapfrog list (each number is the sum of the two before it): 3, 2, 5, 7, 12, 19, 31, 50, 81, 131. What is 11 × the 7th number?
- 26.3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 + 369 =
- 27.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?
- 28.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?
- 29.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?
- 30.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?
- 31.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?
- 32.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
- 33.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?
- 34.6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 + 364 =
- 35.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
- 36.A leapfrog list starts 3, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 37.A leapfrog list starts 1, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 38.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?
- 39.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
- 40.Leapfrog list (each number is the sum of the two before it): 7, 8, 15, 23, 38, 61, 99, 160, 259, 419. What is 11 × the 7th number?
Answer key
- 374
- 803
- 1177
- 341
- 814
- 143
- 616
- 935
- 1034
- 308
- 979
- 638
- 484
- 693
- 759
- 891
- 880
- 847
- 198
- 924
- 253
- 286
- 583
- 1067
- 341
- 957
- 627
- 836
- 517
- 396
- 979
- 561
- 550
- 946
- 693
- 693
- 583
- 649
- 1199
- 1089
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