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
- 1.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
- 2.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
- 3.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
- 4.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?
- 5.Leapfrog list (each number is the sum of the two before it): 9, 1, 10, 11, 21, 32, 53, 85, 138, 223. What is 11 × the 7th number?
- 6.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?
- 7.2 + 2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 =
- 8.7 + 6 + 13 + 19 + 32 + 51 + 83 + 134 + 217 + 351 =
- 9.Leapfrog list (each number is the sum of the two before it): 9, 8, 17, 25, 42, 67, 109, 176, 285, 461. What is 11 × the 7th number?
- 10.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?
- 11.Leapfrog list (each number is the sum of the two before it): 7, 7, 14, 21, 35, 56, 91, 147, 238, 385. What is 11 × the 7th number?
- 12.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?
- 13.A leapfrog list starts 5, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 14.A leapfrog list starts 5, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 15.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?
- 16.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?
- 17.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?
- 18.A leapfrog list starts 1, 5 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): 7, 3, 10, 13, 23, 36, 59, 95, 154, 249. What is 11 × the 7th number?
- 20.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?
- 21.5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 + 343 =
- 22.4 + 1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 =
- 23.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 24.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
- 25.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?
- 26.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
- 27.A leapfrog list starts 8, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 28.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
- 29.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?
- 30.A leapfrog list starts 1, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 31.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
- 32.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
- 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?
- 34.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
- 35.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?
- 36.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?
- 37.Leapfrog list (each number is the sum of the two before it): 5, 1, 6, 7, 13, 20, 33, 53, 86, 139. What is 11 × the 7th number?
- 38.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
- 39.Leapfrog list (each number is the sum of the two before it): 3, 5, 8, 13, 21, 34, 55, 89, 144, 233. What is 11 × the 7th number?
- 40.Leapfrog list (each number is the sum of the two before it): 6, 9, 15, 24, 39, 63, 102, 165, 267, 432. What is 11 × the 7th number?
Answer key
- 847
- 506
- 407
- 891
- 583
- 759
- 286
- 913
- 1199
- 649
- 1001
- 396
- 451
- 803
- 462
- 550
- 924
- 495
- 649
- 1067
- 891
- 308
- 143
- 539
- 638
- 781
- 1144
- 1199
- 1012
- 671
- 616
- 253
- 583
- 1001
- 836
- 429
- 363
- 374
- 605
- 1122
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