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例题 1 · A-Level · Number walls

In a number wall, the number in each brick is the sum of the two bricks directly below it. For a bottom row of 3, 5, 7, what is the top brick? Page 3

查看答案
The top brick is 20. Working: 3 + 5 = 8, 5 + 7 = 12, then 8 + 12 = 20.

例题 2 · A-Level · Number walls

Complete the number wall with bottom row 2, 4, 6 so that the top brick is greater than 20. Show your working. Page 3

查看答案
A correct number wall with total > 20. For example: bottom row 2, 4, 6; second row 6, 10; top row 16. (16 < 20, so not valid). A valid example: bottom row 3, 4, 5 gives second row 7, 9 and top 16 (still <20). To exceed 20, use larger numbers, e.g., bottom row 5, 6, 7 gives second row 11, 13 and top 24. Accept any correct wall with top > 20.

例题 3 · A-Level · Number walls, Algebra

For a number wall with bottom row a, b, c, the top brick is a + 2b + c. If the top brick equals 7, find the value of b when a = 1 and c = 2. Page 3

查看答案
Substitute: 1 + 2b + 2 = 7 → 2b + 3 = 7 → 2b = 4 → b = 2.
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