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 8, 4 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 2, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 3.7 + 3 + 10 + 13 + 23 + 36 + 59 + 95 + 154 + 249 =
- 4.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
- 5.3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 + 335 =
- 6.2 + 2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 =
- 7.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?
- 8.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
- 9.6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 + 398 =
- 10.A leapfrog list starts 7, 9 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): 9, 5, 14, 19, 33, 52, 85, 137, 222, 359. What is 11 × the 7th number?
- 12.Leapfrog list (each number is the sum of the two before it): 1, 5, 6, 11, 17, 28, 45, 73, 118, 191. What is 11 × the 7th number?
- 13.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?
- 14.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?
- 15.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?
- 16.7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 + 419 =
- 17.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?
- 18.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
- 19.8 + 4 + 12 + 16 + 28 + 44 + 72 + 116 + 188 + 304 =
- 20.Leapfrog list (each number is the sum of the two before it): 5, 6, 11, 17, 28, 45, 73, 118, 191, 309. What is 11 × the 7th number?
- 21.4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 + 356 =
- 22.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
- 23.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?
- 24.A leapfrog list starts 7, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 25.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?
- 26.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?
- 27.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
- 28.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
- 29.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?
- 30.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
- 31.Leapfrog list (each number is the sum of the two before it): 3, 9, 12, 21, 33, 54, 87, 141, 228, 369. What is 11 × the 7th number?
- 32.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?
- 33.7 + 1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 =
- 34.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
- 35.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
- 36.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
- 37.A leapfrog list starts 3, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 38.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?
- 39.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?
- 40.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?
Answer key
- 792
- 286
- 649
- 682
- 869
- 286
- 495
- 594
- 1034
- 1177
- 935
- 495
- 396
- 561
- 1232
- 1089
- 506
- 319
- 792
- 803
- 924
- 814
- 616
- 825
- 847
- 451
- 341
- 825
- 979
- 462
- 957
- 539
- 473
- 847
- 198
- 1199
- 605
- 517
- 1177
- 649
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