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
Name:
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]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet