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Maths · Grade 4 · Set A
Follow the rule, then spot something
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A
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Goal: 15 min
Score/ 11
Remember: Follow the rule one step at a time. Then look for what the rule never said, like every term being even or ending in the same digit.

Follow the rule

1
The rule is add 4. What number comes next?
2
The rule is subtract 3. Fill the next number in the pattern: 29, 26, 23,
3
The rule is multiply by 2. What number comes next? 3, 6, 12,
4
Look at the bars. Which is true about the terms 3, 6, 12, 24?
The jumps get bigger each time.Every term ends in 3.The terms switch between odd and even.
5
Each step has 4 more tiles than the step before. How many tiles are in step 4?
6
The rule is start at 2 and add 6. Every term is even.
TrueFalse

Spot what the rule never said

7
The rule is start at 34 and subtract 2. Will 1 be in the pattern?
Yes. The terms keep going down, so they reach 1.Yes. Every term is odd, and 1 is odd.No. Every term is even, and 1 is odd.
8
The rule is start at 44 and subtract 5. Will 8 be in the pattern?
No. Every term ends in 4 or 9, and 8 ends in 8.Yes. The terms keep going down, so they reach 8.Yes. Every term ends in 3 or 8, and 8 ends in 8.
9
The rule is start at 1 and add 2. The terms switch between odd and even.
TrueFalse
10
The terms are 4, 8, 12, 16. Why is every term a multiple of 4?
Every number is a multiple of 4.The start is a multiple of 4, and each step adds 4.It happens because the terms get bigger.
11
Join each rule to its pattern.
  1. 1Start at 6, add 4
  2. 2Start at 20, subtract 3
  3. 3Start at 2, multiply by 3
  4. 4Start at 5, add 5
  • A20, 17, 14, 11
  • B2, 6, 18, 54
  • C6, 10, 14, 18
  • D5, 10, 15, 20
12
Make your own pattern. Write a start and a rule, then the first five terms. Write one thing you notice that the rule did not say.
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Answer key · Set A
Follow the rule, then spot something
127 Add 4 to the last number: 23 + 4 = 27.
220 Each step goes back 3. 23 − 3 = 20.
324 Do the rule once: 12 × 2 = 24.
4The jumps get bigger each time. The jumps are 3, 6 and 12, so they double each time. After 3 every term is even.
516 Steps 1, 2 and 3 have 4, 8 and 12 tiles. Add 4 more: 12 + 4 = 16.
6True 2, 8, 14, 20 are all even. Adding an even number to an even number always gives an even number.
7No. Every term is even, and 1 is odd. 34 is even, and taking away 2 keeps it even. An odd number like 1 can never be in the pattern.
8No. Every term ends in 4 or 9, and 8 ends in 8. 44, 39, 34, 29 end in 4 or 9 again and again. A number that ends in 8 never lands in the pattern.
9False 1, 3, 5, 7 are all odd. Adding 2 never changes odd to even.
10The start is a multiple of 4, and each step adds 4. Start at a multiple of 4 and add 4 each time, and you land on multiples of 4. Not every number is one.
111-C, 2-A, 3-B, 4-D
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.