Video: KS2-M17 • Paper 2 • Question 3

Write the missing numbers to make this multiplication grid correct.

02:38

Video Transcript

Write the missing numbers to make this multiplication grid correct.

We can see that inside the multiplication grid, there are four two-digit numbers. And each of these numbers is made by multiplying two of the numbers round the outside, the number from the same row and the number from the same column. For example, the number 63 is found by multiplying nine by this number here.

Notice that both of the numbers in the top row are multiples of nine, they’re nine times something. This is why it’s best to start with these two numbers before moving on to the bottom two. We don’t know any of the multiples of the bottom two numbers yet. So we’ll begin with 63.

How many nines are in 63? Nine, 18, 27, 36, 45, 54, 63. Nine multiplied by seven equals 63. As we’ve said already, the number 54 is in the same row. We find the answer by multiplying nine by something. We know that 54 is one lot of nine less than 63. So there must be six nines in 54: nine, 18, 27, 36, 45, 54.

Now we’ve worked out the numbers in the top row, we can use them to find the missing number in the side of the grid. The number 56 is in the same column as the number seven. What do we multiply seven by to give us 56 or how many sevens are in 56? Seven, 14, 21, 28, 35, 42, 49, 56. Eight times seven equals 56. And we know that missing number must be eight because eight times six is 48.

To find the missing numbers, we started with the top row because we already knew that one of the multiples was nine. We looked carefully at each row and column and we used our knowledge of times tables to find the missing answers.

So from top to bottom and left to right, the missing numbers are seven, six, and eight.

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