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Number and Algebra Patterns
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Number and Algebra Patterns
Complete each question. Show your working where asked. Use New Zealand dollars for money questions.
Patterns and Rules
1.Complete the pattern: 18, 36, __, __, 90, __.
2.True or false? 9 × 4 = 4 × 9. Explain why.
3.True or false? 8 × 6 = 46. Explain why.
4.Write the rule for this pattern in words: 4, 12, 36, 108, ...
5.Continue the pattern by writing its next two numbers: 7, 14, 28, 56, __, __.
Scaling and Number Sentences
6.A soup recipe for 3 people uses 450 mL of stock. How much stock is needed for 6 people?
7.A soup recipe for 3 people uses 450 mL of stock. How much stock is needed for 9 people?
Draw a bar model to show how the 450 mL amount scales from 3 people to 9 people.
8.Four kiwifruit cost $5.20. At the same rate, how much do 12 kiwifruit cost? Show your working.
9.Find the missing number: __ × 6 = 42.
10.Find the missing number: 48 ÷ __ = 8.
11.Find the missing number: 9 × __ = 63.
12.Find the missing number: __ ÷ 4 = 11.
Make and Extend Patterns
13.Create a growing number pattern that begins with 6. Write its first six numbers and state the rule you used.
14.Write a short real-life problem that uses halving. Include enough information for someone to solve it.
15.The pattern starts 120, 110, 100, 90, ... and continues in the same way. What is the eighth number? Explain your thinking.
3 printable pages
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