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
- 1.7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 + 419 =
- 2.A leapfrog list starts 6, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 3.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
- 4.Leapfrog list (each number is the sum of the two before it): 8, 6, 14, 20, 34, 54, 88, 142, 230, 372. What is 11 × the 7th number?
- 5.2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 =
- 6.A leapfrog list starts 7, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 7.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?
- 8.4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 + 356 =
- 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?
- 10.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
- 11.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?
- 12.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?
- 13.5 + 1 + 6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 =
- 14.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?
- 15.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?
- 16.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?
- 17.Leapfrog list (each number is the sum of the two before it): 1, 1, 2, 3, 5, 8, 13, 21, 34, 55. What is 11 × the 7th number?
- 18.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 19.Leapfrog list (each number is the sum of the two before it): 3, 8, 11, 19, 30, 49, 79, 128, 207, 335. What is 11 × the 7th number?
- 20.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?
- 21.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
- 22.Leapfrog list (each number is the sum of the two before it): 4, 8, 12, 20, 32, 52, 84, 136, 220, 356. What is 11 × the 7th number?
- 23.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?
- 24.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?
- 25.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?
- 26.6 + 1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 =
- 27.Leapfrog list (each number is the sum of the two before it): 6, 2, 8, 10, 18, 28, 46, 74, 120, 194. What is 11 × the 7th number?
- 28.7 + 3 + 10 + 13 + 23 + 36 + 59 + 95 + 154 + 249 =
- 29.6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 + 364 =
- 30.Leapfrog list (each number is the sum of the two before it): 1, 5, 6, 11, 17, 28, 45, 73, 118, 191. What is 11 × the 7th number?
- 31.9 + 4 + 13 + 17 + 30 + 47 + 77 + 124 + 201 + 325 =
- 32.A leapfrog list starts 9, 2 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 3, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 34.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
- 35.A leapfrog list starts 5, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 36.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?
- 37.Leapfrog list (each number is the sum of the two before it): 4, 5, 9, 14, 23, 37, 60, 97, 157, 254. What is 11 × the 7th number?
- 38.A leapfrog list starts 5, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 39.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?
- 40.Leapfrog list (each number is the sum of the two before it): 5, 2, 7, 9, 16, 25, 41, 66, 107, 173. What is 11 × the 7th number?
Answer key
- 1089
- 858
- 594
- 968
- 374
- 1089
- 341
- 924
- 594
- 231
- 638
- 506
- 363
- 198
- 319
- 286
- 143
- 143
- 869
- 1287
- 1001
- 924
- 891
- 286
- 231
- 418
- 506
- 649
- 946
- 495
- 847
- 671
- 253
- 462
- 451
- 308
- 660
- 539
- 715
- 451
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