Drawing: Challenge & Extension
Mathematics
GCSE Higher
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focused on drawing bar charts for GCSE Higher students, including practice, problem solving, real-world applications, and extension questions.
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Full preview • 14 questions
Drawing: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Draw a bar chart to represent the number of students in each of four classes: Class A - 25 students, Class B - 40 students, Class C - 15 students, Class D - 30 students. Label each bar accordingly.
[4 marks]2.
Plot the bar chart for the following data: Hours studied per week - 0-2 hours: 8 students, 3-5 hours: 12 students, 6-8 hours: 5 students, 9+ hours: 3 students.
[4 marks]3.
Construct a bar chart to show the frequency of different fruit types in a basket: Apples - 12, Bananas - 20, Oranges - 15, Grapes - 10.
[4 marks]4.
In a bar chart, the bar for 'Cars sold' is twice as tall as the bar for 'Bikes sold'. If the Bike bar reaches a height of 4 units, what is the height of the Cars bar?
[2 marks]B
Problem Solving & Reasoning
Answer the following multi-step questions, explaining your reasoning.
1.
A bar chart shows the number of books read by students over the summer: 10, 15, 20, 25, 30. The tallest bar is 6 cm high. Draw the chart and determine the number of books read if a bar is 4.5 cm high.
[4 marks]2.
Given a bar chart where the height of each bar represents the number of students choosing different subjects, if the 'Math' bar is 5 cm high and corresponds to 25 students, what is the scale used for the chart? Show your working.
[4 marks]3.
A bar chart illustrates sales of four products in units: P1 - 100, P2 - 150, P3 - 200, P4 - 250. If the height of the P4 bar is 5 cm, find the height of the P1 bar.
[2 marks]4.
Explain how you would check if a bar chart is accurately drawn to scale from given data.
[3 marks]C
Real-world Applications
Use the data provided to draw and interpret bar charts.
1.
A survey shows the following favorite sports among students: Football - 40, Basketball - 25, Tennis - 15, Cricket - 20. Draw a bar chart representing this data. Which sport is the most popular?
[4 marks]2.
A company tracks weekly sales: Week 1 - 200 units, Week 2 - 250 units, Week 3 - 225 units, Week 4 - 275 units. Draw a bar chart to represent this data and identify which week had the highest sales.
[4 marks]D
Challenge & Extension
Attempt these advanced questions to extend your drawing skills.
1.
Construct a composite bar chart showing three categories: 'A', 'B', 'C' with data points: A - 20, 35, 50; B - 25, 40, 45; C - 30, 50, 55, across three different groups. Ensure proper scaling and labelling.
[6 marks]2.
Describe how to modify a bar chart if the data includes negative values, ensuring accurate visual representation.
[3 marks]E
Mixed Review & Error Analysis
Review the questions carefully and identify any mistakes in the provided examples.
1.
A student draws a bar chart with the data: 10, 20, 30, 40. The bars are incorrectly scaled, with the first bar twice as tall as the second. Identify and explain the mistake, and describe how to correct it.
[3 marks]2.
A bar chart shows the number of students using the bus: 15, 25, 35, 45. The heights of bars are 1.5 cm, 2.5 cm, 3.5 cm, and 4.5 cm respectively. Is the chart correctly scaled? Justify your answer.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet