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Algorithm Pattern Practice

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Algorithm Pattern Practice

At the science museum, Kirra and Isla are testing number machines. Follow each machine’s steps carefully, spot its pattern, and design a machine of your own. Show your thinking.

Part A: How does a number machine work?

An algorithm is an ordered set of steps. A number machine follows its rule each time it receives an input.

1.Which description best explains an algorithm?

A number chosen at random
A set of steps followed in order to complete a task
A machine that only multiplies
A pattern with no rule

2.Kirra’s museum badge machine says: Start at 6, then add 5. Repeat the add-5 step to make four numbers, including the starting number. Write the numbers.

3.The machine rule is: Start at 4; add 3 each time. Isla says the sixth number is 19. Is Isla correct? Explain how you know.

Part B: Follow the steps

Keep the order of operations in mind. A machine applies its complete rule to each new input.

4.The rover-display machine starts at 3. For each new number, multiply the previous number by 2, then add 1. Write the first four numbers, including 3.

5.Ruby-Mae-Mae tests a machine: Start at 20, subtract 4 each time. What are the next four numbers after 20?

6.A sequence from a mystery machine is 5, 10, 15, 20. Choose the rule that makes this sequence.

Start at 5 and add 5 each time
Start at 5 and multiply by 2 each time
Start at 20 and subtract 5 each time
Start at 1 and add 5 each time

7.The museum lift counter starts at 2 and follows “add 4 each time”. Fill in the missing numbers: 2, 6, , 14, .

8.One machine starts with 7 and adds 6 each time. Another starts with 7 and doubles each time. Write the first three numbers for each machine. Which machine has the greater third number?

Part C: Invent and test a rule

Make sure another person could follow your algorithm and get the same answers.

9.Complete the algorithm: Start at 8. Add 3 each time. Write the next four numbers and state the rule in your own words.

10.Design an addition machine that starts at a whole number and makes the sequence 9, 13, 17, 21. Write its starting number and rule, then check the next number.

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More Maths Worksheets

Year 8

Algorithm Pattern Practice

Algorithm Pattern Practice

Part A: How does a number machine work?

Part B: Follow the steps

Part C: Invent and test a rule

2 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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