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
- 1.1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 =
- 2.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
- 3.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?
- 4.Leapfrog list (each number is the sum of the two before it): 3, 5, 8, 13, 21, 34, 55, 89, 144, 233. What is 11 × the 7th number?
- 5.1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 =
- 6.A leapfrog list starts 1, 2 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, 1, 5, 6, 11, 17, 28, 45, 73, 118. What is 11 × the 7th number?
- 8.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?
- 9.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
- 10.Leapfrog list (each number is the sum of the two before it): 7, 1, 8, 9, 17, 26, 43, 69, 112, 181. What is 11 × the 7th number?
- 11.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
- 12.2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 + 246 =
- 13.Leapfrog list (each number is the sum of the two before it): 7, 5, 12, 17, 29, 46, 75, 121, 196, 317. What is 11 × the 7th number?
- 14.4 + 2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 =
- 15.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?
- 16.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?
- 17.8 + 7 + 15 + 22 + 37 + 59 + 96 + 155 + 251 + 406 =
- 18.A leapfrog list starts 2, 5 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): 8, 3, 11, 14, 25, 39, 64, 103, 167, 270. What is 11 × the 7th number?
- 20.Leapfrog list (each number is the sum of the two before it): 9, 1, 10, 11, 21, 32, 53, 85, 138, 223. What is 11 × the 7th number?
- 21.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
- 22.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?
- 23.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
- 24.Leapfrog list (each number is the sum of the two before it): 5, 5, 10, 15, 25, 40, 65, 105, 170, 275. What is 11 × the 7th number?
- 25.A leapfrog list starts 3, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 26.9 + 5 + 14 + 19 + 33 + 52 + 85 + 137 + 222 + 359 =
- 27.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?
- 28.A leapfrog list starts 2, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 29.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
- 30.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?
- 31.6 + 4 + 10 + 14 + 24 + 38 + 62 + 100 + 162 + 262 =
- 32.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?
- 33.4 + 3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 =
- 34.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 35.Leapfrog list (each number is the sum of the two before it): 3, 6, 9, 15, 24, 39, 63, 102, 165, 267. 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?
- 37.4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 =
- 38.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?
- 39.1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 =
- 40.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?
Answer key
- 759
- 814
- 759
- 605
- 671
- 231
- 308
- 1023
- 1067
- 473
- 847
- 638
- 825
- 396
- 143
- 792
- 1056
- 550
- 704
- 583
- 374
- 550
- 198
- 715
- 341
- 935
- 198
- 638
- 616
- 781
- 682
- 913
- 484
- 143
- 693
- 528
- 660
- 286
- 583
- 693
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