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.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?
- 3.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?
- 4.Leapfrog list (each number is the sum of the two before it): 8, 7, 15, 22, 37, 59, 96, 155, 251, 406. What is 11 × the 7th number?
- 5.1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 + 259 =
- 6.Leapfrog list (each number is the sum of the two before it): 7, 4, 11, 15, 26, 41, 67, 108, 175, 283. What is 11 × the 7th number?
- 7.3 + 7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 =
- 8.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?
- 9.9 + 5 + 14 + 19 + 33 + 52 + 85 + 137 + 222 + 359 =
- 10.A leapfrog list starts 4, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 11.1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 =
- 12.5 + 5 + 10 + 15 + 25 + 40 + 65 + 105 + 170 + 275 =
- 13.A leapfrog list starts 7, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 14.9 + 3 + 12 + 15 + 27 + 42 + 69 + 111 + 180 + 291 =
- 15.2 + 1 + 3 + 4 + 7 + 11 + 18 + 29 + 47 + 76 =
- 16.6 + 7 + 13 + 20 + 33 + 53 + 86 + 139 + 225 + 364 =
- 17.3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 + 369 =
- 18.8 + 3 + 11 + 14 + 25 + 39 + 64 + 103 + 167 + 270 =
- 19.A leapfrog list starts 7, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 20.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?
- 21.2 + 9 + 11 + 20 + 31 + 51 + 82 + 133 + 215 + 348 =
- 22.Leapfrog list (each number is the sum of the two before it): 5, 9, 14, 23, 37, 60, 97, 157, 254, 411. What is 11 × the 7th number?
- 23.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?
- 24.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?
- 25.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?
- 26.A leapfrog list starts 1, 6 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 27.Leapfrog list (each number is the sum of the two before it): 2, 9, 11, 20, 31, 51, 82, 133, 215, 348. What is 11 × the 7th number?
- 28.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?
- 29.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?
- 30.4 + 7 + 11 + 18 + 29 + 47 + 76 + 123 + 199 + 322 =
- 31.4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 =
- 32.3 + 3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 =
- 33.A leapfrog list starts 9, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 34.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
- 35.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?
- 36.3 + 6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 =
- 37.A leapfrog list starts 6, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
- 38.6 + 9 + 15 + 24 + 39 + 63 + 102 + 165 + 267 + 432 =
- 39.1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 =
- 40.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?
Answer key
- 407
- 693
- 781
- 1056
- 671
- 737
- 781
- 858
- 935
- 396
- 407
- 715
- 825
- 759
- 198
- 946
- 957
- 704
- 1001
- 836
- 902
- 1067
- 198
- 825
- 308
- 583
- 902
- 418
- 638
- 836
- 660
- 429
- 1287
- 616
- 308
- 693
- 682
- 1122
- 759
- 363
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