Q1.
Identify the numbers that can fill the circles such that the numbers in the squares are the products of the numbers in the circles. The squares in the top row show 72 (with 36 × 2 already filled in), 60, 48, 36, 24 and 40.
Answer
In the top row the two circles are joined by ×, and the square above them holds the product. So you need two numbers whose product is the number in the square.
The first one is done for you: 36 × 2 = 72. Here is one good answer for each of the others.
| Square (product) | One answer | Check | Other correct answers |
|---|---|---|---|
| 72 | 36 × 2 | 36 × 2 = 72 | 8 × 9, 12 × 6, 24 × 3, 18 × 4 |
| 60 | 30 × 2 | 30 × 2 = 60 | 6 × 10, 12 × 5, 15 × 4, 20 × 3 |
| 48 | 24 × 2 | 24 × 2 = 48 | 6 × 8, 12 × 4, 16 × 3 |
| 36 | 18 × 2 | 18 × 2 = 36 | 6 × 6, 9 × 4, 12 × 3 |
| 24 | 12 × 2 | 12 × 2 = 24 | 6 × 4, 8 × 3, 24 × 1 |
| 40 | 20 × 2 | 20 × 2 = 40 | 8 × 5, 10 × 4, 40 × 1 |
How to find a pair yourself, in three steps:
- Say the number in the square out loud — for example 48.
- Run through your tables and ask: which table has 48 in it? The 6 table (6 × 8), the 4 table (4 × 12), the 3 table (3 × 16).
- Write any one of those pairs in the two circles. Then multiply to check.
Tip: There is more than one right answer for every square. As long as the two circle numbers multiply to give the square number, your answer is correct.