Even Number: Challenge & Extension
Mathematics
Grade 7
13 questions
~26 mins
5 views0 downloads
About This Worksheet
A worksheet focusing on Even Numbers with a challenge and extension approach, covering procedural mastery, reasoning, real-world context, and advanced problems.
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Full preview • 13 questions
Even Number: Challenge & Extension
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
List all even numbers between 50 and 70.
[2 marks]2.
What is the median of the following set of even numbers: 34, 42, 56, 60, 64?
[3 marks]3.
Calculate the average (mean) of the even numbers: 18, 24, 30, 36.
[2 marks]4.
Identify whether 81 is even or odd. Explain your reasoning.
[2 marks]B
Problem Solving & Reasoning
Answer all questions clearly, showing your working in the grid spaces provided.
1.
A class has 24 students, and their ages are all even numbers. If the median age is 14, what is the minimum possible number of students aged 16 or older?
[4 marks]2.
A set of 8 even numbers has a median of 20. If four numbers are less than 20 and four are greater than 20, what is the total sum of the set?
[4 marks]3.
Explain why the median of two even numbers added together is always even.
[3 marks]C
Real-world Applications
Solve each problem using calculations and clear reasoning.
1.
A factory produces an even number of units each day. Over a week, the production numbers are 120, 130, 140, 150, 160, 170, 180. What is the median daily production, and what does it tell you about the production pattern?
[3 marks]2.
A survey of 10 households records the number of children (all even numbers). The counts are: 2, 4, 6, 8, 8, 10, 12, 14, 16, 20. Find the median number of children.
[2 marks]D
Challenge & Extension
Attempt these more difficult problems. Show your detailed working.
1.
Create a set of 7 even numbers where the median is 30. If two numbers are changed to maintain the median, what is the possible range of the total sum of the set?
[4 marks]2.
A sequence of even numbers starts at 2 and increases by 4 each step. What is the median of the first 10 terms? Explain your reasoning.
[3 marks]E
Mixed Review & Error Analysis
Answer all questions. Review the common mistakes and correct them.
1.
A student counts the number of even numbers between 10 and 20 as 10. Identify the mistake and provide the correct count.
[2 marks]2.
If the median of two even numbers added together is 18, what could the two numbers be? Are there multiple solutions? Explain.
[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