For IndividualsFor Educators
ExpertMinds LogoExpertMinds
ExpertMinds

Ace your certifications with Practice Exams and AI assistance.

  • Browse Exams
  • For Educators
  • Blog
  • Privacy Policy
  • Terms of Service
  • Cookie Policy
  • Support
  • AWS SAA Exam Prep
  • PMI PMP Exam Prep
  • CPA Exam Prep
  • GCP PCA Exam Prep

© 2026 TinyHive Labs. Company number 16262776.

    PracticeAQA GCSEAQA GCSE Maths Foundation Tier Paper 1 Non-CalculatorQuestion 07.1
    Medium4 marksStructured
    StatisticsStatisticsFrequency TreeFoundation

    AQA GCSE · Question 07.1 · Statistics

    People Childrenor adults Turn leftor right Children Adults Left Right Left Right 120

    120 people visit a maze.
    80 are children, the rest are adults.
    At the start of the maze you can turn left or right.
    45 children turn left.
    75 people in total turn left.
    Complete the frequency tree.

    How to approach this question

    1. **Fill in the first branches (Children/Adults):** - Total people = 120. - Children = 80. - Adults = Total - Children = 120 - 80 = 40. Write 80 in the Children circle and 40 in the Adults circle. 2. **Fill in the Children branches (Left/Right):** - Total children = 80. - Children who turn left = 45. Write 45 in the top-left final circle. - Children who turn right = Total children - Children who turn left = 80 - 45 = 35. Write 35 in the top-right final circle. 3. **Fill in the Adults branches (Left/Right):** - Total people turning left = 75. - Children turning left = 45. - Adults turning left = Total left - Children left = 75 - 45 = 30. Write 30 in the bottom-left final circle. - Total adults = 40. - Adults turning right = Total adults - Adults turning left = 40 - 30 = 10. Write 10 in the bottom-right final circle. 4. **Check your work:** The numbers in the final four circles should add up to the total number of people: 45 + 35 + 30 + 10 = 120. This is correct.

    Full Answer

    A frequency tree is used to show how a group is broken down into smaller categories. - **First split (Children/Adults):** We are told there are 120 people in total and 80 are children. The rest must be adults. Number of adults = 120 - 80 = 40. - **Second split (Children):** We know there are 80 children. 45 of them turn left. The rest must turn right. Number of children turning right = 80 - 45 = 35. - **Second split (Adults):** We know there are 40 adults. We are told 75 people in total turn left. Since 45 children turned left, the number of adults who turned left must be 75 - 45 = 30. The rest of the adults must have turned right. Number of adults turning right = 40 - 30 = 10. The final numbers are: Children Left (45), Children Right (35), Adults Left (30), Adults Right (10). Check: 45 + 35 + 30 + 10 = 120. Correct.

    Common mistakes

    ✗ Putting numbers in the wrong places on the tree.\n✗ Calculation errors, especially with subtraction.\n✗ Confusing the total number turning left with the number of adults turning left.
    Question 06All questionsQuestion 07.2

    Practice the full AQA GCSE Maths Foundation Tier Paper 1 Non-Calculator

    41 questions · hints · full answers · grading

    Sign up freeTake the exam

    More questions from this exam

    Q01.1Write down the value of √49EasyQ01.2Work out the value of 3³EasyQ01.3Write 10 000 as a power of 10EasyQ021 pound = 16 ounces. Work out the number of ounces in 3 pounds.EasyQ03.1Write 3/2 as a mixed number.Easy
    View all 41 questions →