GCSE Two-Way Tables

GCSE Two-Way Tables

• Instructions: Use black ink or ballpoint pen. Answer all questions in the spaces provided. Show all working. Diagrams may not be accurate.
• Information: Marks for each question are shown in brackets as a guide for time allocation.
• Advice: Read each question carefully. Monitor time. Aim to answer every question. Check your answers if time permits.

Question 1: Travel to School

• Context: A two-way table shows how 100 students travel to school (walk, car, other).
• Table Completion (part a): The table needs completion using the given information.
• Probability (part b): Calculate the probability that a randomly selected student walks to school. This is calculated as the number of students who walk divided by the total number of students.

Question 2: Favourite Sport

• Context: A two-way table shows the favourite sport of 150 students (football, rugby, other).
• Table Completion: Complete the table using the provided data.

Question 3: Favourite Subject

• Context: A two-way table displays the favourite subject of 200 students (Maths, English, other) categorized by Year 10 and Year 11.
• Table Completion (part a): Complete the table using the given information.
• Probability (part b): Calculate the proportion of year 10 students who prefer Maths.

Question 4: Year 7 Students' Travel

• Context: 170 year 7 students' travel methods (walk, bus, cycle). School data is given.
• Table Completion: Complete the table using the given data.

Question 5: Football Team Results

• Context: A football team played 38 games; data on outcomes (won, drawn, lost) at home or away is provided.
• Table Completion: Complete the table with the given information.

Question 6: Weekend Revision Lesson Attendance

• Context: 100 students attended a weekend revision lesson (Maths, English, Science). Data on when (Saturday or Sunday) the lessons were attended is given.
• Calculations: Determine how many students attended Maths revision on Saturday.

Question 7: Favourite Subject Survey

• Context: 120 students' favourite subject (biology, chemistry, physics). Data on year level (10 or 11) and preference is provided.
• Calculations: Find the number of year 10 students who prefer physics.

Question 8: Language Study

• Context: 100 year 7 students study French, German, or Spanish; details on boys and girls' choices.
• Calculations: Determine the number of girls who study Spanish.

Question 9: Conference Attendance

• Context: Attendees at a conference are from two schools (A and B), some students, some teachers. Data on the attendees (students and teachers from each school) is provided..
• Calculations: Find the probability that a randomly selected attendee is a teacher from school A.

Question 10: Student Travel Method

• Context: 300 students; travel method (walk or bus); data is provided on proportion of boys, girls, and travel methods.
• Calculations: Determine the number of girls who walk to school.

This quiz covers the topic of two-way tables, focusing on how students travel to school and their favorite sports. It includes questions on completing tables and calculating probabilities based on given data. Ideal for GCSE preparation in statistics.