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4MA1/2F Jun 2023, Question 4: Pattern Sequences and Special Sequences

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 4 marks

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The question, in short

Analyse a stick pattern sequence shown in a diagram, draw the next pattern, complete a table of stick counts, find the count for pattern 10, and explain why a claim about pattern 25 is wrong.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Draw Pattern number 4 in the space provided, continuing the stick arrangement shown in the diagram.

  1. 1Each pattern adds one more square to the row, which takes 4 more sticks
  2. 2Pattern 3 has 13 sticks, so Pattern 4 has 13 + 4 = 17 sticks
  3. 3Draw Pattern 3 with one more square joined on the end

AnswerPattern 4, made of 17 sticks, one step longer than Pattern 3

Part (b) · 1 mark

Complete the table by filling in the number of sticks for Pattern numbers 4 and 5.

  1. 1The sticks go 5, 9, 13, so each pattern adds 4
  2. 213 + 4 = 17 for Pattern 4
  3. 317 + 4 = 21 for Pattern 5

Answer17, 21

Part (c) · 1 mark

Calculate how many sticks are needed to make Pattern number 10.

  1. 1The rule is 4 × pattern number + 1
  2. 24 × 10 + 1 = 41

Answer41

Part (d) · 1 mark

Explain why Connor's statement that Pattern number 25 has 102 sticks is incorrect.

  1. 14 × 25 + 1 = 101
  2. 2101 is not 102, so Connor is wrong
  3. 3Every pattern has an odd number of sticks, and 102 is even

AnswerConnor is wrong: Pattern 25 has 101 sticks

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