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 1, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 2.Leapfrog list (each number is the sum of the two before it): 3, 4, 7, 11, 18, 29, 47, 76, 123, 199. What is 11 × the 7th number?
- 3.A leapfrog list starts 9, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 4.A leapfrog list starts 5, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 5.9 + 5 + 14 + 19 + 33 + 52 + 85 + 137 + 222 + 359 =
- 6.3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 =
- 7.9 + 3 + 12 + 15 + 27 + 42 + 69 + 111 + 180 + 291 =
- 8.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?
- 9.2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 =
- 10.Leapfrog list (each number is the sum of the two before it): 1, 3, 4, 7, 11, 18, 29, 47, 76, 123. What is 11 × the 7th number?
- 11.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?
- 12.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?
- 13.4 + 2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 =
- 14.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?
- 15.Leapfrog list (each number is the sum of the two before it): 5, 4, 9, 13, 22, 35, 57, 92, 149, 241. What is 11 × the 7th number?
- 16.A leapfrog list starts 2, 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 9, 7 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 1, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 19.7 + 4 + 11 + 15 + 26 + 41 + 67 + 108 + 175 + 283 =
- 20.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?
- 21.Leapfrog list (each number is the sum of the two before it): 4, 2, 6, 8, 14, 22, 36, 58, 94, 152. What is 11 × the 7th number?
- 22.Leapfrog list (each number is the sum of the two before it): 6, 9, 15, 24, 39, 63, 102, 165, 267, 432. What is 11 × the 7th number?
- 23.Leapfrog list (each number is the sum of the two before it): 8, 4, 12, 16, 28, 44, 72, 116, 188, 304. What is 11 × the 7th number?
- 24.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?
- 25.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?
- 26.8 + 3 + 11 + 14 + 25 + 39 + 64 + 103 + 167 + 270 =
- 27.4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 + 356 =
- 28.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?
- 29.9 + 2 + 11 + 13 + 24 + 37 + 61 + 98 + 159 + 257 =
- 30.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?
- 31.1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 =
- 32.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
- 33.6 + 5 + 11 + 16 + 27 + 43 + 70 + 113 + 183 + 296 =
- 34.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 35.4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 + 390 =
- 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?
- 37.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
- 38.Leapfrog list (each number is the sum of the two before it): 3, 2, 5, 7, 12, 19, 31, 50, 81, 131. What is 11 × the 7th number?
- 39.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?
- 40.3 + 2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 =
Answer key
- 407
- 517
- 1199
- 1067
- 935
- 517
- 759
- 693
- 726
- 319
- 693
- 781
- 396
- 913
- 627
- 462
- 1111
- 495
- 737
- 374
- 396
- 1122
- 792
- 231
- 528
- 704
- 924
- 594
- 671
- 957
- 759
- 451
- 770
- 143
- 1012
- 374
- 429
- 341
- 583
- 341
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