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 6, 6 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): 9, 3, 12, 15, 27, 42, 69, 111, 180, 291. What is 11 × the 7th number?
- 3.8 + 3 + 11 + 14 + 25 + 39 + 64 + 103 + 167 + 270 =
- 4.1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 + 327 =
- 5.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?
- 6.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?
- 7.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?
- 8.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?
- 9.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?
- 10.A leapfrog list starts 5, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 11.Leapfrog list (each number is the sum of the two before it): 8, 2, 10, 12, 22, 34, 56, 90, 146, 236. What is 11 × the 7th number?
- 12.8 + 8 + 16 + 24 + 40 + 64 + 104 + 168 + 272 + 440 =
- 13.Leapfrog list (each number is the sum of the two before it): 9, 8, 17, 25, 42, 67, 109, 176, 285, 461. What is 11 × the 7th number?
- 14.7 + 7 + 14 + 21 + 35 + 56 + 91 + 147 + 238 + 385 =
- 15.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
- 16.3 + 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 =
- 17.A leapfrog list starts 4, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 18.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?
- 19.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?
- 20.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?
- 21.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?
- 22.6 + 3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 =
- 23.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?
- 24.Leapfrog list (each number is the sum of the two before it): 1, 4, 5, 9, 14, 23, 37, 60, 97, 157. What is 11 × the 7th number?
- 25.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
- 26.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?
- 27.5 + 4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 =
- 28.A leapfrog list starts 1, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 29.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?
- 30.A leapfrog list starts 5, 6 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): 8, 9, 17, 26, 43, 69, 112, 181, 293, 474. What is 11 × the 7th number?
- 32.2 + 4 + 6 + 10 + 16 + 26 + 42 + 68 + 110 + 178 =
- 33.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?
- 34.4 + 2 + 6 + 8 + 14 + 22 + 36 + 58 + 94 + 152 =
- 35.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?
- 36.A leapfrog list starts 7, 3 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 2, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 38.6 + 2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 =
- 39.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?
- 40.5 + 2 + 7 + 9 + 16 + 25 + 41 + 66 + 107 + 173 =
Answer key
- 858
- 759
- 704
- 847
- 451
- 891
- 1287
- 418
- 1001
- 627
- 616
- 1144
- 1199
- 1001
- 429
- 253
- 748
- 715
- 198
- 770
- 649
- 594
- 660
- 407
- 583
- 1023
- 627
- 671
- 473
- 803
- 1232
- 462
- 660
- 396
- 693
- 649
- 286
- 506
- 957
- 451
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