Large Numbers: Problem Solving & Reasoning

Mathematics
GCSE Foundation
14 questions
~28 mins
1 views0 downloads

About This Worksheet

This worksheet focuses on adding large numbers with four or more digits, emphasizing procedural skills, problem solving, and real-world applications suitable for GCSE Foundation students.

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Large Numbers: Problem Solving & Reasoning

Subject: MathematicsGrade: GCSE Foundation
Name:
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Untitled Worksheet

Grade GCSE Foundation
A

Fluency & Practice

Calculate the sums in the questions below. Show your working in the grid spaces provided.
1.
Add 3456 and 7890.
[2 marks]
2.
Calculate 1248 + 5679.
[2 marks]
3.
Find the total of 4567, 1234, and 7890.
[3 marks]
4.
Add 9876 and 4321.
[2 marks]
B

Problem Solving & Reasoning

Solve the following multi-step problems. Explain your reasoning clearly.
1.
A charity collected £12,345 in one event and £8,976 in another. How much did they collect in total? If they decide to distribute £5,000 equally among 4 local schools, how much does each school receive?
[4 marks]
2.
A warehouse stores 7,654 boxes of supplies. Each box contains 1,234 items. What is the total number of items stored? Write your calculation process.
[4 marks]
C

Real-world Applications

Apply your addition skills to real-life scenarios.
1.
A company's revenue last year was £123,456 and this year it increased by £45,789. What is the total revenue this year?
[2 marks]
2.
A school has 1,234 students. If 567 new students enroll and 89 leave during the year, what is the current total number of students?
[2 marks]
D

Challenge & Extension

Attempt the more difficult questions. Show all your working.
1.
Construct a rectangle on the grid with a length of 2,345 units and a width of 1,789 units. Calculate the perimeter of the rectangle.
[3 marks]
2.
A bank deposit increased by £9,876 over a year. If the deposit was originally £45,432, what is the new total? Show your calculation.
[2 marks]
E

Mixed Review

Answer the variety of questions below involving large numbers.
1.
Add 1,234,567 and 876,543.
[2 marks]
2.
What is the sum of 9999, 8888, and 7777?
[2 marks]
3.
A factory produces 1234 units daily. How many units are produced in 365 days?
[3 marks]
F

Error Analysis

Below is a common mistake made when adding large numbers. Identify the mistake and correct it.
1.
Student's work: 4567 + 7890 = 12457 (Incorrect). Identify the mistake and provide the correct sum.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet