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 3, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 2.A leapfrog list starts 5, 5 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): 8, 2, 10, 12, 22, 34, 56, 90, 146, 236. What is 11 × the 7th number?
- 4.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?
- 5.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?
- 6.A leapfrog list starts 2, 9 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 4, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 8.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
- 9.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
- 10.2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 + 348 =
- 11.4 + 4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 =
- 12.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
- 13.Leapfrog list (each number is the sum of the two before it): 6, 2, 8, 10, 18, 28, 46, 74, 120, 194. 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?
- 15.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
- 16.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?
- 17.4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 + 356 =
- 18.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
- 19.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?
- 20.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
- 21.Leapfrog list (each number is the sum of the two before it): 7, 9, 16, 25, 41, 66, 107, 173, 280, 453. What is 11 × the 7th number?
- 22.Leapfrog list (each number is the sum of the two before it): 8, 4, 12, 16, 28, 44, 72, 116, 188, 304. What is 11 × the 7th number?
- 23.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?
- 24.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?
- 25.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
- 26.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?
- 27.A leapfrog list starts 6, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 28.A leapfrog list starts 2, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 29.2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 =
- 30.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
- 31.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?
- 32.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
- 33.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
- 34.Leapfrog list (each number is the sum of the two before it): 4, 8, 12, 20, 32, 52, 84, 136, 220, 356. What is 11 × the 7th number?
- 35.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?
- 36.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?
- 37.A leapfrog list starts 4, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 38.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
- 39.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?
- 40.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?
Answer key
- 781
- 715
- 616
- 847
- 583
- 902
- 836
- 1067
- 407
- 902
- 572
- 506
- 506
- 143
- 528
- 748
- 924
- 737
- 946
- 781
- 1177
- 792
- 550
- 517
- 825
- 308
- 594
- 726
- 550
- 1001
- 1122
- 583
- 561
- 924
- 693
- 792
- 1012
- 451
- 583
- 1067
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