Positive Only: Real-world Applications in Art & Patterns
Mathematics
GCSE Higher
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of ordering positive integers through art and pattern-based contexts, suitable for GCSE Higher students.
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Positive Only: Real-world Applications in Art & Patterns
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Order these numbers from smallest to largest: 45, 78, 32, 60.
[2 marks]2.
Calculate the difference between the highest and lowest numbers in the set: 54, 73, 68, 59.
[3 marks]3.
Plot the points on the grid for the numbers 25, 40, 15, 35 in increasing order.
[3 marks]B
Problem Solving & Reasoning
Answer all questions. Show your reasoning where applicable.
1.
In a pattern art project, the number of circles added each step is increasing. If the first step adds 10 circles and each subsequent step adds 5 more than the previous, what is the number of circles added at the 4th step? Explain your reasoning.
[4 marks]2.
A designer arranges tiles in a pattern with each row containing more tiles than the previous. The first row has 12 tiles, and each new row increases by 3 tiles. How many tiles are in the 6th row? Show your working.
[4 marks]3.
A pattern of colored squares is created by increasing the number of squares in each row. If the pattern starts with 8 squares and each subsequent row adds 4 squares, what is the total number of squares after 5 rows?
[3 marks]C
Real-world Applications
Answer all questions based on the context provided.
1.
An artist creates a mural composed of rows of tiles, each row containing a positive number of tiles increasing by 7 from the previous row. If the first row has 14 tiles and there are 6 rows, what is the total number of tiles used? Show your calculations.
[4 marks]2.
In a pattern design, the number of repeated shapes in each row increases by 3 each time, starting with 5 shapes in the first row. How many shapes are in the 8th row? Explain your reasoning.
[3 marks]3.
A mural artist plans to add a sequence of painted panels, increasing the number of panels in each subsequent section by 4. If the first section has 20 panels, how many panels will be in the 7th section? Show your working.
[3 marks]D
Challenge & Extension
Answer the challenging questions. Show detailed working.
1.
A pattern of concentric circles is created with each new circle adding 2 units to its radius. If the first circle has a radius of 3 units and the pattern continues for 5 circles, what is the radius of the fifth circle? Explain your reasoning.
[3 marks]2.
In a decorative pattern, the number of tiles in each row follows an increasing sequence. If the second row has 15 tiles and each subsequent row increases by 3 tiles, what is the total number of tiles in the first 10 rows? Show your working.
[4 marks]E
Mixed Review
Answer all questions. Mix of question types.
1.
Order the following numbers from smallest to largest: 85, 47, 63, 92.
[2 marks]2.
Calculate the sum of the five smallest numbers from the set: 45, 67, 23, 89, 54, 38, 72.
[3 marks]3.
Plot the numbers 10, 20, 30, 40 on the grid in increasing order.
[2 marks]F
Error Analysis
Review the common mistake below and identify and correct it.
1.
A student orders the numbers 48, 22, 91, 67 and writes the order as 22, 48, 67, 91. Identify the mistake and correct the order.
[2 marks]2.
A student calculates the difference between the largest and smallest numbers as 50 when the numbers are 35 and 10. Identify the mistake and provide the correct difference.
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet