Systematic Lists: Problem Solving & Reasoning
Mathematics
Year 9
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet exploring systematic lists to list outcomes in probability situations, including practice, reasoning, real-world applications, and extension questions.
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Systematic Lists: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
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Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Use the grid to systematically list outcomes or perform calculations where necessary.
1.
List all possible outcomes when flipping a coin twice.
[3 marks]2.
Construct a systematic list for selecting one fruit from {Apple, Banana} and one color from {Red, Green}.
[3 marks]3.
List all the outcomes when selecting a number from {1, 2} and a letter from {A, B}.
[3 marks]4.
List all possible outcomes when choosing a dice roll (1-6) and a coin flip (Heads, Tails).
[4 marks]B
Problem Solving & Reasoning
Use systematic lists to solve these problems. Show your detailed lists and reasoning.
1.
A bag contains 2 red balls and 3 blue balls. List all possible outcomes when randomly drawing one ball, noting the color and position if labeled 1 to 5.
[4 marks]2.
A class has 3 boys and 2 girls. List all possible groups of 2 students that can be formed, considering the order of selection.
[5 marks]3.
List all possible outcomes for choosing a shirt from {Red, Blue} and a pair of trousers from {Jeans, Shorts}.
[3 marks]4.
Construct a systematic list of all outcomes when choosing a week day from {Monday, Tuesday} and a time slot from {Morning, Afternoon}.
[3 marks]C
Real-world Applications
Apply systematic lists to real-world scenarios. Show your full list and reasoning.
1.
A school offers 2 sports (Soccer, Basketball) and 3 clubs (Music, Art, Drama). List all possible choices of one sport and one club for a student.
[4 marks]2.
A clothing store has 3 types of shirts (Long-sleeve, Short-sleeve, T-shirt) and 2 types of pants (Jeans, Chinos). List all combinations a customer can buy.
[4 marks]D
Challenge & Extension
Attempt these more challenging questions involving systematic lists. Show your detailed reasoning.
1.
A password consists of one uppercase letter (A, B, C), one digit (1, 2, 3), and one symbol (!, @). List all possible passwords.
[5 marks]2.
A cereal box has 4 types of cereal and 3 types of milk. List all possible breakfast options.
[3 marks]E
Mixed Review & Error Analysis
Review the following questions. Identify common mistakes and correct the errors.
1.
A student lists outcomes for drawing a card from a deck as {Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King} and suits as {Hearts, Clubs, Diamonds, Spades}. List all possible outcomes systematically. What mistake might someone make if they forget to include all suits?
[4 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