Positive Only: Challenge & Extension
Mathematics
Year 9
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A challenging worksheet focusing on ordering positive integers, including procedural mastery, problem-solving, real-world contexts, and extension questions for Year 9 students.
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Full preview • 14 questions
Positive Only: Challenge & Extension
Subject: MathematicsGrade: Year 9
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Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Arrange the following numbers in ascending order: 54, 27, 89, 12.
[2 marks]2.
What is the largest number among 103, 256, 189, 312?
[2 marks]3.
Order the following numbers from smallest to largest: 75, 50, 125, 100.
[2 marks]4.
Calculate the difference between the largest and smallest numbers in 210, 340, 180, 290.
[3 marks]B
Problem Solving & Reasoning
Answer the questions with detailed reasoning. Use the grid for working out if needed.
1.
A cyclist completes a race and finishes with a time of 1 hour 45 minutes. Another cyclist finishes 20 minutes faster. Who finished with the shorter time? Explain your reasoning.
[4 marks]2.
If you have a sequence of positive integers starting at 8 and increasing by 5 each time, what is the 7th number in the sequence? Show your working.
[3 marks]3.
A store sells only packs of 6, 9, and 12 items. What is the smallest number of items that cannot be purchased exactly using these packs?
[4 marks]4.
A positive integer is divisible by both 3 and 4. Which of these numbers could it be? List all possibilities less than 50.
[4 marks]C
Real-world Applications
Solve the word problems using your understanding of ordering positive numbers.
1.
A factory produces batches of 150, 200, and 250 units each day. Arrange these in order from the least to the greatest number produced daily. If the factory increases production by 50 units each day starting from 150, what will be the production on the 4th day? Show your working.
[4 marks]2.
A student scores 85, 92, and 88 on three tests. Order these scores from highest to lowest. If the student wants to improve their lowest score to at least 90, how many additional points are needed? Explain your reasoning.
[4 marks]D
Challenge & Extension
Attempt these more difficult questions. Show all your working clearly.
1.
Construct a sequence of five positive integers where each number is greater than the previous, and the differences are increasing by 1 starting from 2. List the sequence.
[4 marks]2.
Find the 10th positive integer that is divisible by both 4 and 5. Show your working.
[4 marks]E
Mixed Review & Error Analysis
Answer the questions and identify any common mistakes in the given example.
1.
A student arranges the numbers 80, 60, 100, and 40 in ascending order but writes 100, 80, 60, 40. Identify and correct the mistake.
[2 marks]2.
A common mistake when ordering positive integers is to confuse which is larger when the numbers are close. Give an example and explain the mistake.
[3 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