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Systematic listing

Free Printable Systematic listing PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 2)

Download free systematic listing worksheets (PDF), GCSE maths past paper questions and worked solutions for Systematic listing (2C). This is a Grade 2 number topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Dr Austin, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our systematic listing revision notes and worked examples with diagrams, try real GCSE past paper systematic listing questions with step-by-step solutions, or download a PDF of all systematic listing worksheet links.

Free Systematic listing PDF Worksheets & Answers

Grade 2 • Topic 2C
Resource Questions Answers
GCSE past paper questions & solutions
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Graded exam questions & solutions
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Practice Questions & answers
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Textbook Exercise & answers
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Practice grid / worksheet & answers
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Practice questions & answers
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GCSE topic booklet & answers
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PMT (Edxl)
Edexcel GCSE topic questions & solutions
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PMT (AQA)
AQA GCSE topic questions & solutions
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PMT (IGCSE)
Edexcel IGCSE topic questions & solutions
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Interactive online lesson & practice
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Grade 2 topics
2A - Calculation problems2B - Using a calculator
2C - Systematic listing2D - Fraction of an amount
2E - FDP2F - Simplifying algebra
2G - Writing an expression2H - Function machines
2J - Solving one step equations2K - Angles
2L - Area and perimeter2M - Reading scales
2N - Probability & Probability Scale2P - Frequency polygons
2Q - Unitary method2R - Bar charts
2S - Pie charts2T - Averages
2U - Stem and leaf diagrams
GCSE Maths Grade 2 Revision Notes & Method

Guide to Systematic listing: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

To list all possible outcomes without missing or repeating any, use a systematic order: fix the first item and work through every partner in order, then move to the second item and repeat. Use clear single-letter abbreviations to save time.

You can check how many combinations there should be in total by multiplying the number of choices in each group (e.g. 2 starters × 3 mains = 6 combinations). Read carefully whether items can be repeated or if order matters.

Example 1: A café offers 2 starters: Soup (S) or Melon (M), and 3 mains: Chicken (C), Fish (F), or Pasta (P). List all possible 2-course meals.

Solution:

Fix the starter first, then pair with each main:
• With Soup (S):  SC,  SF,  SP
• With Melon (M): MC,  MF,  MP
Check: 2 × 3 = 6 combinations in total.

Example 2: Write down all possible 3-digit numbers that can be made using each of the digits 2, 5, and 8 once.

Solution:

Fix the hundreds digit in ascending order:
• Starting with 2:  258,  285
• Starting with 5:  528,  582
• Starting with 8:  825,  852  (Total = 6 numbers)
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Systematic listing Questions & Answers

Past Paper Example 1 GCSE Fluency Check (2C) 1 mark
A restaurant offers 2 starters: Soup (S) or Melon (M).
It offers 3 main courses: Beef (B), Fish (F), or Pasta (P).
List all the possible combinations of 1 starter and 1 main course.
Worked Solution & Mark Scheme (1 mark)
List systematically starting with each item in turn, or multiply the number of choices for each stage together.
SB, SF, SP, MB, MF, MP
Answer: SB, SF, SP, MB, MF, MP
Past Paper Example 2 GCSE Fluency Check (2C) 1 mark
Use the digits 4, 1, 3.
List all the possible 2-digit numbers you can make without repeating any digits.
Worked Solution & Mark Scheme (1 mark)
List systematically starting with each item in turn, or multiply the number of choices for each stage together.
41, 43, 14, 13, 34, 31
Answer: 41, 43, 14, 13, 34, 31
Past Paper Example 3 GCSE Fluency Check (2C) 1 mark
Work out
A fair coin is flipped and a fair 6-sided dice is rolled.
List all the possible outcomes.
(Use H for Heads and T for Tails)
Worked Solution & Mark Scheme (1 mark)
List systematically starting with each item in turn, or multiply the number of choices for each stage together.
H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6
Answer: H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6

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