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Maths · Grade 4 · Set B
Rules that make patterns
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B
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Goal: 15 min
Score/ 12
Remember: Follow the rule one step at a time. Then look for what the rule never said, like every term being a multiple of 5 or ending in the same digit.

Follow the rule

1
The rule is add 6. What number comes next?
2
The rule is subtract 4. Fill the next number in the pattern: 31, 27, 23,
3
The rule is multiply by 3. What number comes next? 1, 3, 9, 27,
4
Look at the bars. Which is true about the terms 5, 10, 15, 20, 25?
The jumps get bigger each time.Every term is a multiple of 5.Every term is odd.
5
Each step has 3 more squares than the step before. How many squares are in step 5?
6
The rule is start at 4 and add 3. Every term is even.
TrueFalse

Spot what the rule never said

7
The rule is start at 40 and subtract 4. Will 22 be in the pattern?
Yes. Every term is even, and 22 is even.No. Every term is a multiple of 4, and 22 is not.Yes. The terms keep going down, so they reach 22.
8
The rule is start at 3 and add 5. Will 28 be in the pattern?
No. Every term is odd, and 28 is even.No. The terms jump over 28.Yes. Every term ends in 3 or 8, and 28 ends in 8.
9
The terms are 5, 10, 15, 20. Why does every term end in 5 or 0?
Every number ends in 5 or 0.It happens because the terms get bigger.The start ends in 5, and each step adds 5, so the last digit goes 5, 0, 5, 0.
10
The rule is start at 5 and add 7. What is the 4th term?
11
Join each rule to its pattern.
  1. 1Start at 9, add 3
  2. 2Start at 30, subtract 4
  3. 3Start at 1, multiply by 3
  4. 4Start at 100, subtract 10
  • A30, 26, 22, 18
  • B1, 3, 9, 27
  • C9, 12, 15, 18
  • D100, 90, 80, 70
12
The rule is start at 50 and subtract 8. Put the terms in order, first to last.
  • 50
  • 26
  • 42
  • 34
13
Write a rule that makes only odd terms. Then tell how you know every term will be odd.
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Answer key · Set B
Rules that make patterns
132 Add 6 to the last number: 26 + 6 = 32.
219 Each step goes back 4. 23 − 4 = 19.
381 Do the rule once: 27 × 3 = 81.
4Every term is a multiple of 5. Each bar grows by the same 5, so the jumps stay the same. The terms 10 and 20 are even.
515 Steps 1 to 4 have 3, 6, 9 and 12 squares. Add 3 more: 12 + 3 = 15.
6False 4, 7, 10, 13 switch between even and odd. Adding an odd number changes odd to even and even to odd.
7No. Every term is a multiple of 4, and 22 is not. 40, 36, 32, 28 are all multiples of 4. The terms jump over 22, which is not a multiple of 4.
8Yes. Every term ends in 3 or 8, and 28 ends in 8. 3, 8, 13, 18 end in 3 or 8 again and again. Keep going: 23, 28. So 28 is in the pattern.
9The start ends in 5, and each step adds 5, so the last digit goes 5, 0, 5, 0. Adding 5 to a number that ends in 5 gives one that ends in 0, and adding 5 again gives one that ends in 5.
1026 5, 12, 19, and 19 + 7 = 26.
111-C, 2-A, 3-B, 4-D
121, 4, 2, 3 Take 8 away each step: 50, 42, 34, 26.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.