Question promptThis is the start of a new pattern where the same rule applies: How many steps are needed to make this shape?

16.  Explain how you used the pattern to answer question 15 a,b,c,d

Page 1 of 10Name:Exam Style QuestionsEnsure you have: Pencil, pen, ruler, protractor, pair of compasses and eraserYou may use tracing paper if neededGuidance1. Read each question carefully before you begin answering it.2. Donʼt spend too long on one question.3. Attempt every question.4. Check your answers seem right.5. Always show your workingsRevision for this topic© Corbettmaths 2015Page 2 of 101. These patterns are made of sticks(a) Draw Pattern 4(1)(b) How many sticks will there be in Pattern 10?.............................(1)(c) Which pattern will use 40 sticks?.............................(1)© Corbettmaths 2015Page 3 of 102. Here is a pattern of dots(a) Continue the pattern to show Pattern 4(2)(b) How many dots will there be in Pattern 6?.............................(1)(c) Which pattern will use 77 dots?.............................(1)(d) Explain why there will not be a pattern that uses 200 dots.! ! ......................................................................................................................! ! ......................................................................................................................(1)© Corbettmaths 2015Page 4 of 103. Patterns are made of sticks(a) Complete the table for Pattern 4.(1)(b) Sketch Pattern 5(1)(c) Which pattern will have 30 sticks?.............................(1)(d) Here is the rule for working out the number of sticksHow many sticks will be in Pattern 200?.............................(1)© Corbettmaths 2015Page 5 of 104. Here is a pattern of red and yellow squares.(a) Here is a method for working out the number of red squares in each pattern.Complete the method for Pattern 20.(2)(b) Which statements below are true?A Pattern 10 has 11 yellow squaresB The number of red squares is always oddC Every pattern has more red squares than yellow squaresD Pattern 5 has 11 red squares.....................................(2)© Corbettmaths 2015

Page 2 of 101. These patterns are made of sticks(a) Draw Pattern 4(1)(b) How many sticks will there be in Pattern 10?.............................(1)(c) Which pattern will use 40 sticks?.............................(1)© Corbettmaths 2015Page 3 of 102. Here is a pattern of dots(a) Continue the pattern to show Pattern 4(2)(b) How many dots will there be in Pattern 6?.............................(1)(c) Which pattern will use 77 dots?.............................(1)(d) Explain why there will not be a pattern that uses 200 dots.! ! ......................................................................................................................! ! ......................................................................................................................(1)© Corbettmaths 2015Page 4 of 103. Patterns are made of sticks(a) Complete the table for Pattern 4.(1)(b) Sketch Pattern 5(1)(c) Which pattern will have 30 sticks?.............................(1)(d) Here is the rule for working out the number of sticksHow many sticks will be in Pattern 200?.............................(1)© Corbettmaths 2015Page 5 of 104. Here is a pattern of red and yellow squares.(a) Here is a method for working out the number of red squares in each pattern.Complete the method for Pattern 20.(2)(b) Which statements below are true?A Pattern 10 has 11 yellow squaresB The number of red squares is always oddC Every pattern has more red squares than yellow squaresD Pattern 5 has 11 red squares.....................................(2)© Corbettmaths 2015

(a) : Articulate each step for the selection of a Design pattern ?

What is the rule for this pattern?32,36,40,44