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Maths · Grade 5 · Set B
Two Rules, Side by Side
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B
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Goal: 15 min
Score/ 12
Remember: Make a list from each rule. Line up the lists, then plot each pair: across first, then up.

Make the lists and pair them

1
Rule A adds 2. Rule B adds 8. Both start at 0. What is the 4th term of Rule A?
2
What is the 4th term of Rule B?
3
The 4th terms make a pair. Which pair?
(32, 8)(8, 32)(2, 8)
4
Rule A adds 1 and Rule B adds 3. Across is A and up is B. Which graph plots the first three pairs?
Graph 1
Graph 2
Graph 3
5
Rule A adds 5. Rule B adds 10. Which place is the pair 20 and 40?
6
Rule A adds 3. Rule B adds 9. The 3rd terms make the pair 9 and 27.
TrueFalse

How the lists compare

7
Rule A adds 6. Rule B adds 2. Each B term is 3 times as big as the A term in the same place.
TrueFalse
8
Rule A adds 4. Rule B adds 12. Each B term is times as big as the A term in the same place.
9
Join the two rules to how the lists compare.
  1. 1A adds 2, B adds 10
  2. 2A adds 5, B adds 10
  3. 3A adds 3, B adds 9
  4. 4A adds 4, B adds 24
  • AB is 6 times A
  • BB is 2 times A
  • CB is 3 times A
  • DB is 5 times A
10
Rule A adds 3. Rule B adds 6. Number the pairs from the 1st place (1) to the 4th place (4).
  • (9, 18)
  • (3, 6)
  • (12, 24)
  • (6, 12)
11
Rule A adds 1 and Rule B adds 5. Across is A and up is B. The dot P shows a pair. Which pair is P?
(2, 10)(10, 2)(2, 5)
12
Rule A adds 6. Rule B adds 18. The 5th term of Rule A is 30. What is the 5th term of Rule B?
13
Rule A adds 2 and Rule B adds 10. Write how you know every B term is 5 times the A term.
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Answer key · Set B
Two Rules, Side by Side
18 Rule A goes 2, 4, 6, 8.
232 Rule B adds 8 each time: 8, 16, 24, 32.
3(8, 32) The pair is the A term first, then the B term, both from the 4th place.
4Graph 3 The pairs are 1 and 3, 2 and 6, 3 and 9. Go across the A number, then up the B number.
54 Rule A: 5, 10, 15, 20 is the 4th term. Rule B: 10, 20, 30, 40 is the 4th term.
6True Rule A: 3, 6, 9. Rule B: 9, 18, 27. The 3rd terms are 9 and 27.
7False B takes the smaller steps. Each B term is one third of the A term, not 3 times as big.
83 12 is 3 times 4, and 24 is 3 times 8.
91-D, 2-B, 3-C, 4-A Divide B's step by A's step to see how many times as big.
103, 1, 4, 2 Rule A goes 3, 6, 9, 12 and Rule B goes 6, 12, 18, 24.
11(2, 10) Go across first for the A number, then up for the B number: 2 across and 10 up.
1290 B is 3 times A (18 is 3 times 6). The 5th A term is 30, so the 5th B term is 3 × 30 = 90.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.