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 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
- 2.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?
- 3.Leapfrog list (each number is the sum of the two before it): 6, 6, 12, 18, 30, 48, 78, 126, 204, 330. What is 11 × the 7th number?
- 4.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?
- 5.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?
- 6.6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 + 364 =
- 7.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?
- 8.Leapfrog list (each number is the sum of the two before it): 3, 3, 6, 9, 15, 24, 39, 63, 102, 165. What is 11 × the 7th number?
- 9.A leapfrog list starts 4, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 10.7 + 5 + 12 + 17 + 29 + 46 + 75 + 121 + 196 + 317 =
- 11.A leapfrog list starts 2, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 12.A leapfrog list starts 9, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 13.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
- 14.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?
- 15.Leapfrog list (each number is the sum of the two before it): 4, 3, 7, 10, 17, 27, 44, 71, 115, 186. What is 11 × the 7th number?
- 16.1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 =
- 17.5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 + 343 =
- 18.Leapfrog list (each number is the sum of the two before it): 2, 2, 4, 6, 10, 16, 26, 42, 68, 110. What is 11 × the 7th number?
- 19.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?
- 20.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?
- 21.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
- 22.A leapfrog list starts 5, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 23.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?
- 24.A leapfrog list starts 1, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 25.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
- 26.A leapfrog list starts 4, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 27.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
- 28.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
- 29.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?
- 30.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?
- 31.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?
- 32.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 33.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?
- 34.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?
- 35.Leapfrog list (each number is the sum of the two before it): 7, 3, 10, 13, 23, 36, 59, 95, 154, 249. What is 11 × the 7th number?
- 36.A leapfrog list starts 8, 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 6, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 38.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
- 39.4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 + 322 =
- 40.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?
Answer key
- 693
- 308
- 858
- 726
- 605
- 946
- 693
- 429
- 308
- 825
- 286
- 1111
- 847
- 869
- 484
- 319
- 891
- 286
- 913
- 792
- 1287
- 979
- 231
- 847
- 737
- 660
- 198
- 253
- 253
- 517
- 759
- 143
- 506
- 814
- 649
- 528
- 770
- 616
- 836
- 594
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