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
- 1.8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 + 474 =
- 2.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
- 3.3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 =
- 4.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?
- 5.A leapfrog list starts 9, 5 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 6, 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, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 8.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?
- 9.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?
- 10.7 + 1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 =
- 11.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
- 12.6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 + 364 =
- 13.1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 =
- 14.A leapfrog list starts 1, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 15.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
- 16.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?
- 17.Leapfrog list (each number is the sum of the two before it): 5, 3, 8, 11, 19, 30, 49, 79, 128, 207. What is 11 × the 7th number?
- 18.A leapfrog list starts 6, 4 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): 4, 1, 5, 6, 11, 17, 28, 45, 73, 118. What is 11 × the 7th number?
- 20.Leapfrog list (each number is the sum of the two before it): 1, 9, 10, 19, 29, 48, 77, 125, 202, 327. What is 11 × the 7th number?
- 21.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
- 22.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?
- 23.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
- 24.A leapfrog list starts 2, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 25.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
- 26.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
- 27.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?
- 28.4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 + 322 =
- 29.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
- 30.Leapfrog list (each number is the sum of the two before it): 1, 7, 8, 15, 23, 38, 61, 99, 160, 259. What is 11 × the 7th number?
- 31.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?
- 32.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?
- 33.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?
- 34.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?
- 35.5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 + 343 =
- 36.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?
- 37.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?
- 38.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?
- 39.Leapfrog list (each number is the sum of the two before it): 8, 6, 14, 20, 34, 54, 88, 142, 230, 372. What is 11 × the 7th number?
- 40.9 + 4 + 13 + 17 + 30 + 47 + 77 + 124 + 201 + 325 =
Answer key
- 1232
- 231
- 517
- 550
- 935
- 1122
- 308
- 517
- 803
- 473
- 506
- 946
- 759
- 847
- 781
- 946
- 539
- 682
- 308
- 847
- 682
- 737
- 726
- 814
- 363
- 341
- 605
- 836
- 1122
- 671
- 143
- 583
- 660
- 594
- 891
- 1012
- 473
- 759
- 968
- 847
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