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Maths · Grade 5 · Set C
Two Rules, Bigger Steps
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C
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Date
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Goal: 15 min
Score/ 12
Remember: Make a list from each rule, line up the terms, and plot each pair: across first, then up.

Make the lists and pair them

1
Rule A adds 4. Rule B adds 12. Both start at 0. What is the 6th term of Rule A?
2
The 6th terms of those rules make a pair. Which pair?
(24, 72)(72, 24)(24, 36)
3
Rule A adds 9. Rule B adds 27. Which place is the pair 36 and 108?
4
Rule A adds 2 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 8. Rule B adds 40. Each B term is times as big as the A term in the same place.
6
Rule A adds 5 and Rule B adds 15. The 7th terms make the pair 35 and 105.
TrueFalse

Think about the rules

7
Rule B adds 3 times as much as Rule A, so each B term is 3 more than the A term in the same place.
TrueFalse
8
Look at the lists. Rule B adds each time.
9
Join each pair of rules to the 5th pair they make.
  1. 1A adds 2, B adds 6
  2. 2A adds 3, B adds 12
  3. 3A adds 4, B adds 8
  4. 4A adds 5, B adds 25
  • A(20, 40)
  • B(10, 30)
  • C(15, 60)
  • D(25, 125)
10
Number the steps to find how many times as big Rule B is as Rule A.
  • Line up the terms in the same place
  • Divide a B term by the A term in its place
  • Say: each B term is that many times the A term
  • Make a list for each rule
11
Rule A adds 3 and Rule B adds 6. Which pair is NOT made by these rules?
(15, 35)(9, 18)(12, 24)
12
Rule A adds 1 and Rule B adds 3. Across is A and up is B. Which dot is NOT a pair of these rules?
PQRS
13
Rule A adds 4 and Rule B adds 20. Write how you know every B term is 5 times the A term, and give the 5th pair.
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Answer key · Set C
Two Rules, Bigger Steps
124 Rule A goes 4, 8, 12, 16, 20, 24.
2(24, 72) Rule B goes 12, 24, 36, 48, 60, 72. The pair is the A term first: 24 and 72.
34 Rule A: 9, 18, 27, 36 is the 4th term. Rule B: 27, 54, 81, 108 is the 4th term.
4Graph 2 The pairs are 2 and 3, 4 and 6, 6 and 9. Graph 1 swaps the numbers.
55 40 is 5 times 8, so every B term is 5 times the A term in its place.
6True Rule A: 7 × 5 = 35. Rule B: 7 × 15 = 105.
7False 3 times as much means each B term is 3 times as big as the A term, not 3 more.
820 Rule B goes 20, 40, 60, so it adds 20 each time.
91-B, 2-C, 3-A, 4-D Multiply each step by 5 for the 5th terms.
102, 3, 4, 1 Make the lists, pair the terms, divide, and then say what you found.
11(15, 35) Rule B is twice Rule A. The 5th terms are 15 and 30, not 15 and 35.
12R The pairs are 1 and 3, 2 and 6, 3 and 9, 4 and 12. The dot R is at (3, 8), not (3, 9).
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.