Adding/Subtracting: Problem Solving & Reasoning

Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet covering adding and subtracting in standard form, including procedural questions, real-world contexts, and challenging problems designed for GCSE Higher students.

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Full preview • 12 questions

Adding/Subtracting: Problem Solving & Reasoning

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.
Calculate the value of (3.2 × 10^4) + (4.8 × 10^3).
[2 marks]
2.
Subtract (2.5 × 10^6) - (1.3 × 10^6).
[2 marks]
3.
Express the sum of 1.5 × 10^3 and 2.3 × 10^4 in standard form.
[2 marks]
4.
In standard form, find the result of (6.4 × 10^5) - (2.1 × 10^4).
[2 marks]
5.
A scientist measures a quantity as 4.2 × 10^8 units. Another measurement is 1.5 × 10^8 units. Find the difference in standard form.
[3 marks]
6.
A company reports an increase of 3.6 × 10^7 in sales last year, and a decrease of 1.2 × 10^7 this year. What is the net change in sales?
[3 marks]
7.
Construct a triangle with sides of lengths 3.5 × 10^3, 4.2 × 10^3, and their sum.
[3 marks]
8.
A block has a mass of 2.4 × 10^2 kg. An additional mass of 1.8 × 10^2 kg is added. Find the total mass.
[2 marks]
9.
Two distances are measured as 5.6 × 10^4 m and 2.3 × 10^4 m. Find their sum in standard form.
[2 marks]
10.
Add 7.2 × 10^5 and 3.8 × 10^4 in standard form.
[2 marks]
11.
A researcher records a value as 9.8 × 10^6 and later updates it to 1.05 × 10^7. Calculate the change in the measurement.
[2 marks]
12.
Identify and correct the error in the calculation: (4.5 × 10^4) + (2.3 × 10^4) = 6.8 × 10^4.
[3 marks]

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Details

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