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Maths · Grade 3 · Set C
Why the patterns work
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C
Name
Date
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Goal: 15 min
Score/ 12
Remember: Look for the pattern in a row or across the table, then say why it works. Break a fact into easier facts and add.

Patterns in a row

1
The 8 times row. What goes in the box?
2
The 9 times row. What goes in the box?
3
Why does the 9 times row go 9, 18, 27, 36?
Every answer ends in 9Each step adds 10 and takes 1 off, because 9 is 1 less than 10Each answer is 1 more than the last
4
Why is every answer in the 6 times row even?
6 times a number splits into two equal partsEvery answer ends in 6Each answer is 1 more than the last

Across the table

5
Row 4, column 5 is empty. Use row 5, column 4 to find what goes in the box.
6
Row 4, column 3 is empty. Which box holds the same answer?
Row 4, column 4Row 3, column 3Row 3, column 4
7
9 × 7 = 9 × 5 + 9 ×
8
Jen knows 5 × 8 = 40. So 6 × 8 = 40 +
9
Every answer in the 6 times row is double the answer in the 3 times row.
TrueFalse
10
Every answer in the 7 times row is even.
TrueFalse
11
Number the facts from the smallest answer to the largest.
  • 8 × 3
  • 6 × 3
  • 7 × 3
  • 4 × 5
12
Join each fact to the fact with the same answer.
  1. 16 × 4
  2. 23 × 8
  3. 37 × 5
  4. 49 × 2
  • A4 × 6
  • B5 × 7
  • C8 × 3
  • D2 × 9
13
Write how you can use the 5 times row to find 7 × 6.
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Answer key · Set C
Why the patterns work
156 Each answer is 8 more. 48 + 8 = 56.
263 Each answer is 9 more. 54 + 9 = 63.
3Each step adds 10 and takes 1 off, because 9 is 1 less than 10 9 is 1 less than 10. So each step adds 10 and takes 1 off.
46 times a number splits into two equal parts 6 times a number splits into two equal parts, so there is no odd one left over.
520 4 × 5 and 5 × 4 are the same, and row 5, column 4 is 20.
6Row 3, column 4 4 × 3 and 3 × 4 are the same, so swap the row and the column.
72 7 is 5 and 2 more, so 9 × 7 is 9 × 5 plus 9 × 2: 45 + 18 = 63.
88 6 groups of 8 is 5 groups of 8 and 1 more group of 8. 40 + 8 = 48.
9True 3, 6, 9, 12, 15, 18 doubled is 6, 12, 18, 24, 30, 36.
10False 7 is odd and 21 is odd. The answers go odd, even, odd, even.
114, 1, 3, 2 The answers are 18, 20, 21 and 24.
121-A, 2-C, 3-B, 4-D Swapping the two numbers keeps the answer the same.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.