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, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 2.Leapfrog list (each number is the sum of the two before it): 5, 2, 7, 9, 16, 25, 41, 66, 107, 173. What is 11 × the 7th number?
- 3.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?
- 4.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?
- 5.3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 =
- 6.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
- 7.A leapfrog list starts 1, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 8.2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 =
- 9.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
- 10.A leapfrog list starts 3, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 11.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?
- 12.Leapfrog list (each number is the sum of the two before it): 1, 3, 4, 7, 11, 18, 29, 47, 76, 123. What is 11 × the 7th number?
- 13.A leapfrog list starts 5, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 14.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
- 15.A leapfrog list starts 4, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 16.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?
- 17.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
- 18.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?
- 19.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?
- 20.8 + 6 + 14 + 20 + 34 + 54 + 88 + 142 + 230 + 372 =
- 21.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?
- 22.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
- 23.Leapfrog list (each number is the sum of the two before it): 4, 6, 10, 16, 26, 42, 68, 110, 178, 288. What is 11 × the 7th number?
- 24.6 + 6 + 12 + 18 + 30 + 48 + 78 + 126 + 204 + 330 =
- 25.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?
- 26.Leapfrog list (each number is the sum of the two before it): 8, 2, 10, 12, 22, 34, 56, 90, 146, 236. What is 11 × the 7th number?
- 27.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
- 28.Leapfrog list (each number is the sum of the two before it): 1, 5, 6, 11, 17, 28, 45, 73, 118, 191. What is 11 × the 7th number?
- 29.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?
- 30.9 + 7 + 16 + 23 + 39 + 62 + 101 + 163 + 264 + 427 =
- 31.3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 + 335 =
- 32.A leapfrog list starts 6, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 33.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
- 34.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?
- 35.A leapfrog list starts 8, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 36.A leapfrog list starts 6, 1 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 4, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 38.4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 =
- 39.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 40.Leapfrog list (each number is the sum of the two before it): 7, 6, 13, 19, 32, 51, 83, 134, 217, 351. What is 11 × the 7th number?
Answer key
- 374
- 451
- 660
- 836
- 605
- 1199
- 759
- 550
- 506
- 517
- 143
- 319
- 363
- 462
- 396
- 770
- 528
- 286
- 627
- 968
- 341
- 671
- 748
- 858
- 429
- 616
- 561
- 495
- 253
- 1111
- 869
- 858
- 693
- 583
- 792
- 418
- 924
- 660
- 143
- 913
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