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Maths · Grade 5 · Set A
Two Rules, One Graph
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A
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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 3. Rule B adds 6. Both start at 0. What is the 3rd term of Rule A?
2
What is the 3rd term of Rule B?
3
The 3rd terms make a pair. Which pair?
(18, 9)(9, 18)(3, 6)
4
Rule A adds 1 and Rule B adds 3. Across is A and up is B. The dot P shows a pair. Which pair is P?
(6, 2)(2, 2)(2, 6)
5
Rule A adds 3. Rule B adds 6. Which place is the pair 12 and 24?
6
Rule A adds 1. Rule B adds 2. Across is A and up is B. Which graph plots the pairs?
Graph 1
Graph 2
Graph 3
7
Rule A adds 4. Rule B adds 8. The 2nd terms make the pair 8 and 12.
TrueFalse
8
When Rule B adds twice as much as Rule A, every B term is twice the A term in the same place.
TrueFalse
9
Rule A adds 5. Rule B adds 15. Each B term is times as big as the A term in the same place.
10
Join the two rules to how the lists compare.
  1. 1A adds 2, B adds 6
  2. 2A adds 4, B adds 8
  3. 3A adds 3, B adds 12
  4. 4A adds 5, B adds 25
  • AB is 2 times A
  • BB is 3 times A
  • CB is 4 times A
  • DB is 5 times A
11
Number the steps to plot a pair from two rules.
  • For a pair, go across the first number
  • Go up the second number and mark the point
  • Make a list for each rule
  • Line up the terms in the same place to make pairs
12
Rule A adds 3. Rule B adds 9. Sam says the pair for the 5th terms is 15 and 30. What should the B term be?
13
Rule A adds 3 and Rule B adds 9. Write how you know every B term is 3 times the A term in its place.
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Answer key · Set A
Two Rules, One Graph
19 Rule A goes 3, 6, 9.
218 Rule B adds 6 each time: 6, 12, 18.
3(9, 18) The pair is the A term first, then the B term, both from the 3rd place.
4(2, 6) Go across first for the A number, then up for the B number.
54 Rule A: 3, 6, 9, 12 is the 4th term. Rule B: 6, 12, 18, 24 is the 4th term.
6Graph 2 The pairs are 1 and 2, 2 and 4, 3 and 6. Go across the A number, then up the B number.
7False The 2nd terms are 8 for A and 16 for B, so the pair is 8 and 16.
8True B takes steps twice as big, so after any number of steps it is twice as far.
93 15 is 3 times 5, and 30 is 3 times 10.
101-B, 2-A, 3-C, 4-D Divide B's step by A's step to see how many times as big.
113, 4, 1, 2 Across first, then up.
1245 B is 3 times A. The 5th A term is 15, so the 5th B term is 3 × 15 = 45.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.