Simple Contexts: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions in sharing in ratio contexts within simple real-world scenarios. Designed to develop procedural accuracy and conceptual understanding.
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Simple Contexts: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Read the key concepts about sharing in ratios before attempting the questions. Remember, when sharing in ratio 2:3, the total parts are 2 + 3 = 5. Divide the total into these parts to find each share.
B
Fluency & Practice
Answer these questions to practice your procedural skills in sharing in ratio.
1.
Share 50 sweets between two children in the ratio 2:3. How many sweets does each child get?
[2 marks]2.
If £60 is divided in the ratio 4:1, how much does each part represent?
[2 marks]3.
A bag contains 120 marbles shared in the ratio 3:2. How many marbles are in each part?
[2 marks]C
Problem Solving & Reasoning
Work through these multi-step problems, explaining your reasoning.
1.
A team of 24 players is to be divided into groups in the ratio 3:2. How many players are in each group?
[3 marks]2.
A school organises a trip with 150 students sharing into rooms in the ratio 4:5. How many students stay in each type of room?
[3 marks]D
Real-world Applications
Solve these word problems based on real-world contexts.
1.
A recipe calls for sugar and flour in the ratio 2:5. If a chef uses 300 grams of flour, how much sugar is needed?
[3 marks]2.
A car travels 180 km in the ratio 3:2 between two drivers. How far does each driver cover?
[3 marks]E
Challenge & Extension
Attempt these more difficult problems for extension.
1.
A tank is filled with water in the ratio 7:3 with two different sources. If 210 litres of water are added from source A, how much water is added from source B?
[4 marks]2.
A garden is planted with flowers and shrubs in the ratio 5:4. If there are 54 flowers, how many shrubs are planted?
[3 marks]F
Mixed Review & Error Analysis
Review these questions to consolidate understanding. For the errors, identify and correct the mistake.
1.
A ratio 3:4 is used to divide a sum of £84. How much does each part represent? (Incorrect answer: £21 and £63)
[3 marks]2.
A box contains 48 balls in the ratio 2:5. How many balls are in each part? (Incorrect answer: 16 and 32)
[3 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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet