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): 1, 6, 7, 13, 20, 33, 53, 86, 139, 225. What is 11 × the 7th number?
- 2.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?
- 3.A leapfrog list starts 8, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 4.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
- 5.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
- 6.2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 =
- 7.A leapfrog list starts 6, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 8.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 9.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?
- 10.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
- 11.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
- 12.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?
- 13.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?
- 14.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
- 15.Leapfrog list (each number is the sum of the two before it): 1, 9, 10, 19, 29, 48, 77, 125, 202, 327. What is 11 × the 7th number?
- 16.A leapfrog list starts 7, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 17.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?
- 18.A leapfrog list starts 5, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 19.Leapfrog list (each number is the sum of the two before it): 3, 7, 10, 17, 27, 44, 71, 115, 186, 301. What is 11 × the 7th number?
- 20.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
- 21.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?
- 22.9 + 4 + 13 + 17 + 30 + 47 + 77 + 124 + 201 + 325 =
- 23.A leapfrog list starts 6, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 24.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
- 25.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?
- 26.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?
- 27.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?
- 28.Leapfrog list (each number is the sum of the two before it): 1, 7, 8, 15, 23, 38, 61, 99, 160, 259. What is 11 × the 7th number?
- 29.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?
- 30.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
- 31.9 + 8 + 17 + 25 + 42 + 67 + 109 + 176 + 285 + 461 =
- 32.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?
- 33.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?
- 34.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?
- 35.A leapfrog list starts 3, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 36.4 + 4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 =
- 37.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?
- 38.7 + 1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 =
- 39.2 + 2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 =
- 40.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?
Answer key
- 583
- 880
- 968
- 1067
- 429
- 550
- 770
- 143
- 594
- 1287
- 506
- 605
- 704
- 451
- 847
- 737
- 616
- 363
- 781
- 231
- 484
- 847
- 594
- 726
- 374
- 792
- 308
- 671
- 836
- 693
- 1199
- 319
- 880
- 671
- 957
- 572
- 770
- 473
- 286
- 253
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