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
- 1.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
- 2.6 + 6 + 12 + 18 + 30 + 48 + 78 + 126 + 204 + 330 =
- 3.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?
- 4.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?
- 5.A leapfrog list starts 7, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 6.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
- 7.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
- 8.Leapfrog list (each number is the sum of the two before it): 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. What is 11 × the 7th number?
- 9.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?
- 10.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?
- 11.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?
- 12.6 + 5 + 11 + 16 + 27 + 43 + 70 + 113 + 183 + 296 =
- 13.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
- 14.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?
- 15.A leapfrog list starts 8, 6 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): 9, 8, 17, 25, 42, 67, 109, 176, 285, 461. What is 11 × the 7th number?
- 17.A leapfrog list starts 9, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 18.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?
- 19.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?
- 20.A leapfrog list starts 5, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 21.A leapfrog list starts 9, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 22.A leapfrog list starts 2, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 23.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?
- 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?
- 25.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
- 26.Leapfrog list (each number is the sum of the two before it): 3, 8, 11, 19, 30, 49, 79, 128, 207, 335. What is 11 × the 7th number?
- 27.3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 =
- 28.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?
- 29.4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 + 288 =
- 30.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
- 31.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?
- 32.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?
- 33.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?
- 34.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
- 35.A leapfrog list starts 3, 1 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 1, 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): 7, 7, 14, 21, 35, 56, 91, 147, 238, 385. What is 11 × the 7th number?
- 38.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
- 39.Leapfrog list (each number is the sum of the two before it): 2, 2, 4, 6, 10, 16, 26, 42, 68, 110. What is 11 × the 7th number?
- 40.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
Answer key
- 198
- 858
- 594
- 649
- 561
- 825
- 1177
- 374
- 638
- 847
- 341
- 770
- 506
- 627
- 968
- 1199
- 1199
- 539
- 583
- 539
- 1023
- 198
- 858
- 814
- 528
- 869
- 605
- 1012
- 748
- 341
- 1122
- 363
- 462
- 1067
- 253
- 319
- 1001
- 407
- 286
- 814
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