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 6, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 2.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
- 3.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?
- 4.Leapfrog list (each number is the sum of the two before it): 6, 3, 9, 12, 21, 33, 54, 87, 141, 228. What is 11 × the 7th number?
- 5.A leapfrog list starts 5, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 6.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?
- 7.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?
- 8.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?
- 9.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?
- 10.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
- 11.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?
- 12.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
- 13.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?
- 14.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?
- 15.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
- 16.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?
- 17.1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 =
- 18.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?
- 19.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
- 20.1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 =
- 21.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?
- 22.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?
- 23.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
- 24.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
- 25.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
- 26.A leapfrog list starts 4, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 27.8 + 8 + 16 + 24 + 40 + 64 + 104 + 168 + 272 + 440 =
- 28.6 + 5 + 11 + 16 + 27 + 43 + 70 + 113 + 183 + 296 =
- 29.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
- 30.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?
- 31.2 + 2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 =
- 32.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?
- 33.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
- 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?
- 35.3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 =
- 36.Leapfrog list (each number is the sum of the two before it): 2, 9, 11, 20, 31, 51, 82, 133, 215, 348. What is 11 × the 7th number?
- 37.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?
- 38.A leapfrog list starts 8, 9 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 5, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 40.A leapfrog list starts 9, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
Answer key
- 506
- 1122
- 198
- 594
- 891
- 528
- 374
- 374
- 1287
- 1177
- 1287
- 583
- 869
- 792
- 198
- 1034
- 759
- 836
- 231
- 495
- 583
- 748
- 451
- 539
- 825
- 396
- 1144
- 770
- 319
- 253
- 286
- 495
- 616
- 484
- 605
- 902
- 946
- 1232
- 715
- 1023
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