Positive Only: Problem Solving & Reasoning
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on ordering positive integers through problem solving and reasoning activities suitable for Year 9 students.
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Positive Only: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Order the following numbers from smallest to largest: 45, 67, 23, 89.
[2 marks]2.
Calculate the sum of 56, 78, and 34.
[3 marks]3.
If you increase 37 by 15, what is the new number?
[2 marks]B
Problem Solving & Reasoning
Answer with detailed reasoning. Use the grid for working out if needed.
1.
A student has 45 candies and buys more candies each day, increasing their collection by 5 candies daily. How many candies will they have after 4 days? Explain your reasoning.
[4 marks]2.
A bakery produces 120 muffins each day. If they produce 15 more muffins each subsequent day than the previous day, how many muffins are produced on the 5th day? Show your working.
[4 marks]C
Real-world Applications
Solve the following problems based on real-life contexts.
1.
A mobile phone plan costs $40 per month. If you save $10 each week from your allowance, how many weeks will it take to save enough to pay for 3 months of the plan? Show your calculations.
[4 marks]D
Challenge & Extension
Answer the following challenging questions. Justify your reasoning where necessary.
1.
Construct a sequence of five positive integers where each number is greater than the previous one by 3. Use the grid to illustrate your sequence.
[3 marks]2.
Find two different pairs of positive integers that add up to 100. Justify your choices.
[3 marks]E
Mixed Review
Answer these questions to review various skills related to ordering and working with positive integers.
1.
Arrange the numbers 99, 23, 58, and 77 in descending order.
[2 marks]2.
Calculate the difference between 85 and 47.
[2 marks]F
Error Analysis
Review the common mistake below and correct it.
1.
A student wrote 65 + 25 = 80, but marked it as incorrect. Identify the mistake and provide the correct answer.
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet