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, 4, 10, 14, 24, 38, 62, 100, 162, 262. What is 11 × the 7th number?
- 2.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?
- 3.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?
- 4.9 + 5 + 14 + 19 + 33 + 52 + 85 + 137 + 222 + 359 =
- 5.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?
- 6.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
- 7.Leapfrog list (each number is the sum of the two before it): 2, 7, 9, 16, 25, 41, 66, 107, 173, 280. What is 11 × the 7th number?
- 8.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?
- 9.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?
- 10.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
- 11.1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 =
- 12.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?
- 13.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?
- 14.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?
- 15.4 + 2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 =
- 16.A leapfrog list starts 2, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 17.A leapfrog list starts 6, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 18.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?
- 19.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
- 20.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
- 21.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?
- 22.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?
- 23.2 + 2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 =
- 24.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?
- 25.7 + 6 + 13 + 19 + 32 + 51 + 83 + 134 + 217 + 351 =
- 26.A leapfrog list starts 5, 9 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): 4, 9, 13, 22, 35, 57, 92, 149, 241, 390. What is 11 × the 7th number?
- 28.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?
- 29.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
- 30.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
- 31.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?
- 32.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
- 33.A leapfrog list starts 9, 1 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 3, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 35.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?
- 36.1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 =
- 37.A leapfrog list starts 7, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 38.Leapfrog list (each number is the sum of the two before it): 2, 8, 10, 18, 28, 46, 74, 120, 194, 314. What is 11 × the 7th number?
- 39.9 + 3 + 12 + 15 + 27 + 42 + 69 + 111 + 180 + 291 =
- 40.A leapfrog list starts 7, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
Answer key
- 682
- 583
- 484
- 935
- 253
- 726
- 726
- 902
- 429
- 462
- 583
- 847
- 143
- 143
- 396
- 462
- 1122
- 1232
- 825
- 363
- 583
- 979
- 286
- 836
- 913
- 1067
- 1012
- 759
- 198
- 1287
- 462
- 594
- 583
- 693
- 528
- 671
- 737
- 814
- 759
- 1177
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