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 9, 1 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 8, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 3.4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 + 356 =
- 4.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?
- 5.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?
- 6.4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 =
- 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.A leapfrog list starts 3, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 9.Leapfrog list (each number is the sum of the two before it): 6, 5, 11, 16, 27, 43, 70, 113, 183, 296. What is 11 × the 7th number?
- 10.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?
- 11.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
- 12.8 + 5 + 13 + 18 + 31 + 49 + 80 + 129 + 209 + 338 =
- 13.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?
- 14.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
- 15.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
- 16.8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 + 474 =
- 17.Leapfrog list (each number is the sum of the two before it): 4, 1, 5, 6, 11, 17, 28, 45, 73, 118. What is 11 × the 7th number?
- 18.A leapfrog list starts 6, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 19.9 + 7 + 16 + 23 + 39 + 62 + 101 + 163 + 264 + 427 =
- 20.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?
- 21.2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 =
- 22.8 + 8 + 16 + 24 + 40 + 64 + 104 + 168 + 272 + 440 =
- 23.7 + 3 + 10 + 13 + 23 + 36 + 59 + 95 + 154 + 249 =
- 24.Leapfrog list (each number is the sum of the two before it): 8, 7, 15, 22, 37, 59, 96, 155, 251, 406. What is 11 × the 7th number?
- 25.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?
- 26.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?
- 27.A leapfrog list starts 7, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 28.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
- 29.Leapfrog list (each number is the sum of the two before it): 9, 6, 15, 21, 36, 57, 93, 150, 243, 393. What is 11 × the 7th number?
- 30.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?
- 31.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?
- 32.3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 =
- 33.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
- 34.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
- 35.Leapfrog list (each number is the sum of the two before it): 2, 7, 9, 16, 25, 41, 66, 107, 173, 280. What is 11 × the 7th number?
- 36.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?
- 37.8 + 6 + 14 + 20 + 34 + 54 + 88 + 142 + 230 + 372 =
- 38.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
- 39.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
- 40.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?
Answer key
- 583
- 880
- 924
- 231
- 792
- 660
- 561
- 517
- 770
- 693
- 363
- 880
- 539
- 726
- 1122
- 1232
- 308
- 1034
- 1111
- 462
- 638
- 1144
- 649
- 1056
- 781
- 495
- 473
- 1001
- 1023
- 1177
- 253
- 517
- 253
- 847
- 726
- 374
- 968
- 1199
- 462
- 605
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