Skip to content / Đến nội dung
ThichHocToan.com

AMO 2027 Grades 4-5 SET 21 - Self-study Question 13

AMO · AMO 2027 Grades 4-5 SET 21 - Self-study

Question 13

Find the missing numbers.

a) Find A and C.

b) Find A and B.

| Part / grid | Top row | Bottom row |
|---|---|---|
| a1 | 3, 9 | 11, 6 |
| a2 | 7, 21 | 14, 9 |
| a3 | 5, 15 | 16, 11 |
| a4 | 4, A | 20, C |
| b1 | 3, 7 | 4, 5 |
| b2 | 5, 7 | 2, 3 |
| b3 | 9, 17 | 8, 55 |
| b4 | 6, A | 7, B |

Use the source rules: in (a), multiply the top-left entry by 3 to get the top-right, and subtract 5 from the bottom-left to get the bottom-right; in (b), the top-right is the sum of the left entries and the bottom-right is their product minus that sum. A in the two parts is independent.

Question illustration

Answer entry: Enter the four integers in the order (a) A;(a) C;(b) A;(b) B, separated by semicolons, without spaces.