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): 2, 6, 8, 14, 22, 36, 58, 94, 152, 246. What is 11 × the 7th number?
- 2.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?
- 3.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
- 4.Leapfrog list (each number is the sum of the two before it): 4, 2, 6, 8, 14, 22, 36, 58, 94, 152. What is 11 × the 7th number?
- 5.Leapfrog list (each number is the sum of the two before it): 5, 9, 14, 23, 37, 60, 97, 157, 254, 411. What is 11 × the 7th number?
- 6.A leapfrog list starts 9, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 7.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?
- 8.8 + 4 + 12 + 16 + 28 + 44 + 72 + 116 + 188 + 304 =
- 9.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?
- 10.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?
- 11.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
- 12.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?
- 13.9 + 6 + 15 + 21 + 36 + 57 + 93 + 150 + 243 + 393 =
- 14.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?
- 15.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?
- 16.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
- 17.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
- 18.8 + 7 + 15 + 22 + 37 + 59 + 96 + 155 + 251 + 406 =
- 19.5 + 4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 =
- 20.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
- 21.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
- 22.A leapfrog list starts 1, 7 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 5, 3 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 8, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 25.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?
- 26.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?
- 27.8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 + 474 =
- 28.9 + 3 + 12 + 15 + 27 + 42 + 69 + 111 + 180 + 291 =
- 29.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?
- 30.7 + 2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 =
- 31.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?
- 32.A leapfrog list starts 6, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 33.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?
- 34.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?
- 35.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
- 36.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?
- 37.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?
- 38.Leapfrog list (each number is the sum of the two before it): 2, 4, 6, 10, 16, 26, 42, 68, 110, 178. What is 11 × the 7th number?
- 39.5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 + 377 =
- 40.Leapfrog list (each number is the sum of the two before it): 2, 8, 10, 18, 28, 46, 74, 120, 194, 314. What is 11 × the 7th number?
Answer key
- 638
- 616
- 319
- 396
- 1067
- 1287
- 748
- 792
- 913
- 605
- 198
- 1012
- 1023
- 968
- 1012
- 253
- 583
- 1056
- 627
- 1287
- 341
- 671
- 539
- 1144
- 550
- 253
- 1232
- 759
- 1287
- 561
- 198
- 946
- 1177
- 198
- 616
- 143
- 462
- 462
- 979
- 814
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