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): 2, 6, 8, 14, 22, 36, 58, 94, 152, 246. What is 11 × the 7th number?
- 2.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
- 3.Leapfrog list (each number is the sum of the two before it): 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. What is 11 × the 7th number?
- 4.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
- 5.A leapfrog list starts 7, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 6.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?
- 7.Leapfrog list (each number is the sum of the two before it): 1, 8, 9, 17, 26, 43, 69, 112, 181, 293. What is 11 × the 7th number?
- 8.Leapfrog list (each number is the sum of the two before it): 8, 7, 15, 22, 37, 59, 96, 155, 251, 406. What is 11 × the 7th number?
- 9.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?
- 10.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?
- 11.Leapfrog list (each number is the sum of the two before it): 7, 1, 8, 9, 17, 26, 43, 69, 112, 181. What is 11 × the 7th number?
- 12.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
- 13.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
- 14.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
- 15.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
- 16.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
- 17.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
- 18.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
- 19.A leapfrog list starts 3, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 20.Leapfrog list (each number is the sum of the two before it): 7, 4, 11, 15, 26, 41, 67, 108, 175, 283. What is 11 × the 7th number?
- 21.9 + 5 + 14 + 19 + 33 + 52 + 85 + 137 + 222 + 359 =
- 22.4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 + 390 =
- 23.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?
- 24.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
- 25.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?
- 26.A leapfrog list starts 2, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 27.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
- 28.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?
- 29.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?
- 30.A leapfrog list starts 7, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 31.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
- 32.Leapfrog list (each number is the sum of the two before it): 5, 8, 13, 21, 34, 55, 89, 144, 233, 377. What is 11 × the 7th number?
- 33.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
- 34.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?
- 35.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?
- 36.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?
- 37.6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 + 364 =
- 38.A leapfrog list starts 4, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 39.6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 + 398 =
- 40.Leapfrog list (each number is the sum of the two before it): 4, 5, 9, 14, 23, 37, 60, 97, 157, 254. What is 11 × the 7th number?
Answer key
- 638
- 253
- 231
- 429
- 1001
- 528
- 759
- 1056
- 693
- 792
- 473
- 528
- 726
- 198
- 1177
- 341
- 583
- 363
- 341
- 737
- 935
- 1012
- 847
- 1287
- 1001
- 638
- 671
- 616
- 1232
- 1089
- 506
- 979
- 847
- 605
- 1012
- 517
- 946
- 748
- 1034
- 660
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