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): 9, 5, 14, 19, 33, 52, 85, 137, 222, 359. What is 11 × the 7th number?
- 2.Leapfrog list (each number is the sum of the two before it): 5, 5, 10, 15, 25, 40, 65, 105, 170, 275. What is 11 × the 7th number?
- 3.A leapfrog list starts 3, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 4.A leapfrog list starts 1, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 5.8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 + 474 =
- 6.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?
- 7.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?
- 8.7 + 6 + 13 + 19 + 32 + 51 + 83 + 134 + 217 + 351 =
- 9.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?
- 10.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?
- 11.Leapfrog list (each number is the sum of the two before it): 6, 6, 12, 18, 30, 48, 78, 126, 204, 330. What is 11 × the 7th number?
- 12.A leapfrog list starts 1, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 13.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?
- 14.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?
- 15.5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 + 343 =
- 16.3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 + 369 =
- 17.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
- 18.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
- 19.4 + 1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 =
- 20.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?
- 21.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
- 22.Leapfrog list (each number is the sum of the two before it): 6, 1, 7, 8, 15, 23, 38, 61, 99, 160. What is 11 × the 7th number?
- 23.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?
- 24.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
- 25.Leapfrog list (each number is the sum of the two before it): 9, 9, 18, 27, 45, 72, 117, 189, 306, 495. What is 11 × the 7th number?
- 26.Leapfrog list (each number is the sum of the two before it): 8, 4, 12, 16, 28, 44, 72, 116, 188, 304. What is 11 × the 7th number?
- 27.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
- 28.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 29.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
- 30.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?
- 31.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
- 32.Leapfrog list (each number is the sum of the two before it): 8, 1, 9, 10, 19, 29, 48, 77, 125, 202. What is 11 × the 7th number?
- 33.A leapfrog list starts 5, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 34.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
- 35.Leapfrog list (each number is the sum of the two before it): 8, 3, 11, 14, 25, 39, 64, 103, 167, 270. What is 11 × the 7th number?
- 36.A leapfrog list starts 7, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 37.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?
- 38.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
- 39.Leapfrog list (each number is the sum of the two before it): 7, 6, 13, 19, 32, 51, 83, 134, 217, 351. What is 11 × the 7th number?
- 40.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?
Answer key
- 935
- 715
- 781
- 759
- 1232
- 946
- 561
- 913
- 759
- 583
- 858
- 231
- 495
- 341
- 891
- 957
- 737
- 451
- 308
- 671
- 682
- 418
- 979
- 671
- 1287
- 792
- 539
- 143
- 693
- 1122
- 726
- 528
- 1067
- 561
- 704
- 913
- 847
- 319
- 913
- 550
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