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 4, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 2.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
- 3.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
- 4.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?
- 5.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?
- 6.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?
- 7.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
- 8.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
- 9.4 + 4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 =
- 10.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?
- 11.3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 + 335 =
- 12.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?
- 13.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
- 14.Leapfrog list (each number is the sum of the two before it): 9, 2, 11, 13, 24, 37, 61, 98, 159, 257. What is 11 × the 7th number?
- 15.A leapfrog list starts 6, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 16.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
- 17.Leapfrog list (each number is the sum of the two before it): 7, 5, 12, 17, 29, 46, 75, 121, 196, 317. What is 11 × the 7th number?
- 18.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
- 19.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?
- 20.Leapfrog list (each number is the sum of the two before it): 1, 6, 7, 13, 20, 33, 53, 86, 139, 225. What is 11 × the 7th number?
- 21.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?
- 22.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?
- 23.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?
- 24.3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 + 369 =
- 25.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?
- 26.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?
- 27.Leapfrog list (each number is the sum of the two before it): 3, 1, 4, 5, 9, 14, 23, 37, 60, 97. What is 11 × the 7th number?
- 28.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?
- 29.A leapfrog list starts 2, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 30.Leapfrog list (each number is the sum of the two before it): 1, 4, 5, 9, 14, 23, 37, 60, 97, 157. What is 11 × the 7th number?
- 31.Leapfrog list (each number is the sum of the two before it): 2, 1, 3, 4, 7, 11, 18, 29, 47, 76. What is 11 × the 7th number?
- 32.9 + 4 + 13 + 17 + 30 + 47 + 77 + 124 + 201 + 325 =
- 33.A leapfrog list starts 3, 8 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 4, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 35.4 + 3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 =
- 36.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
- 37.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?
- 38.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?
- 39.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?
- 40.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?
Answer key
- 1012
- 319
- 374
- 594
- 638
- 319
- 451
- 583
- 572
- 836
- 869
- 616
- 616
- 671
- 418
- 1287
- 825
- 781
- 825
- 583
- 473
- 649
- 935
- 957
- 649
- 583
- 253
- 286
- 374
- 407
- 198
- 847
- 869
- 484
- 484
- 847
- 495
- 737
- 561
- 968
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