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
- 1.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
- 2.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?
- 3.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?
- 4.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
- 5.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?
- 6.1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 =
- 7.Leapfrog list (each number is the sum of the two before it): 4, 4, 8, 12, 20, 32, 52, 84, 136, 220. What is 11 × the 7th number?
- 8.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?
- 9.8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 + 474 =
- 10.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?
- 11.5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 + 309 =
- 12.Leapfrog list (each number is the sum of the two before it): 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. What is 11 × the 7th number?
- 13.Leapfrog list (each number is the sum of the two before it): 4, 6, 10, 16, 26, 42, 68, 110, 178, 288. What is 11 × the 7th number?
- 14.A leapfrog list starts 1, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 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 + 7 + 16 + 23 + 39 + 62 + 101 + 163 + 264 + 427 =
- 17.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
- 18.5 + 5 + 10 + 15 + 25 + 40 + 65 + 105 + 170 + 275 =
- 19.8 + 4 + 12 + 16 + 28 + 44 + 72 + 116 + 188 + 304 =
- 20.A leapfrog list starts 4, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 21.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
- 22.7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 + 419 =
- 23.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?
- 24.Leapfrog list (each number is the sum of the two before it): 8, 5, 13, 18, 31, 49, 80, 129, 209, 338. What is 11 × the 7th number?
- 25.4 + 2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 =
- 26.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
- 27.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?
- 28.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?
- 29.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
- 30.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?
- 31.8 + 3 + 11 + 14 + 25 + 39 + 64 + 103 + 167 + 270 =
- 32.A leapfrog list starts 2, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 33.5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 + 377 =
- 34.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?
- 35.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?
- 36.A leapfrog list starts 3, 6 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): 9, 9, 18, 27, 45, 72, 117, 189, 306, 495. What is 11 × the 7th number?
- 38.7 + 1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 =
- 39.A leapfrog list starts 8, 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): 3, 8, 11, 19, 30, 49, 79, 128, 207, 335. What is 11 × the 7th number?
Answer key
- 253
- 319
- 583
- 539
- 759
- 583
- 572
- 968
- 1232
- 198
- 803
- 231
- 748
- 143
- 418
- 1111
- 528
- 715
- 792
- 748
- 1199
- 1089
- 341
- 880
- 396
- 583
- 759
- 374
- 1067
- 704
- 704
- 726
- 979
- 143
- 913
- 693
- 1287
- 473
- 616
- 869
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