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 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 + 369 =
- 2.1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 =
- 3.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?
- 4.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?
- 5.Leapfrog list (each number is the sum of the two before it): 4, 4, 8, 12, 20, 32, 52, 84, 136, 220. What is 11 × the 7th number?
- 6.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?
- 7.A leapfrog list starts 7, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 8.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?
- 9.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?
- 10.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?
- 11.1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 =
- 12.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?
- 13.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?
- 14.A leapfrog list starts 6, 1 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): 6, 8, 14, 22, 36, 58, 94, 152, 246, 398. What is 11 × the 7th number?
- 16.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
- 17.4 + 2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 =
- 18.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
- 19.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?
- 20.7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 + 419 =
- 21.Leapfrog list (each number is the sum of the two before it): 8, 8, 16, 24, 40, 64, 104, 168, 272, 440. What is 11 × the 7th number?
- 22.7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 + 280 + 453 =
- 23.Leapfrog list (each number is the sum of the two before it): 5, 1, 6, 7, 13, 20, 33, 53, 86, 139. What is 11 × the 7th number?
- 24.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?
- 25.4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 + 322 =
- 26.8 + 4 + 12 + 16 + 28 + 44 + 72 + 116 + 188 + 304 =
- 27.7 + 1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 =
- 28.5 + 3 + 8 + 11 + 19 + 30 + 49 + 79 + 128 + 207 =
- 29.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?
- 30.Leapfrog list (each number is the sum of the two before it): 5, 7, 12, 19, 31, 50, 81, 131, 212, 343. What is 11 × the 7th number?
- 31.A leapfrog list starts 4, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 32.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?
- 33.1 + 5 + 6 + 11 + 17 + 28 + 45 + 73 + 118 + 191 =
- 34.A leapfrog list starts 2, 1 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 2, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 36.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
- 37.Leapfrog list (each number is the sum of the two before it): 7, 7, 14, 21, 35, 56, 91, 147, 238, 385. What is 11 × the 7th number?
- 38.9 + 3 + 12 + 15 + 27 + 42 + 69 + 111 + 180 + 291 =
- 39.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
- 40.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?
Answer key
- 957
- 759
- 506
- 913
- 572
- 308
- 561
- 1199
- 286
- 484
- 143
- 308
- 770
- 418
- 1034
- 198
- 396
- 407
- 319
- 1089
- 1144
- 1177
- 363
- 671
- 836
- 792
- 473
- 539
- 231
- 891
- 836
- 715
- 495
- 198
- 374
- 814
- 1001
- 759
- 847
- 616
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