Find New Amount: Problem Solving & Reasoning
Mathematics
Year 9
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating the new amount after a percentage increase, involving procedural practice, problem solving, real-world contexts, and extension questions.
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Find New Amount: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A laptop costs £800. If the price increases by 10%, what is the new price?
[2 marks]2.
A school fund increases from £1500 to £1650. Calculate the percentage increase.
[3 marks]3.
An item’s price is increased by 15%. If the new price is £115, what was the original price?
[3 marks]4.
A jacket originally costs £50. After a 20% increase, what is the new price?
[2 marks]B
Progression & Application
Solve the following multi-step and real-world problems, showing your reasoning.
1.
A shop reduces the price of a bicycle by 25%, bringing it down to £150. What was the original price?
[4 marks]2.
A football ticket costs £40. If prices increase by 12%, what will be the new price?
[2 marks]3.
A factory produced 500 units last month. If production increases by 18%, how many units are produced now?
[3 marks]4.
An initial investment of £2000 grows by 5% annually. What will be the amount after one year?
[3 marks]5.
A student’s score improves from 70 to 84. What is the percentage increase?
[3 marks]C
Challenge & Extension
Attempt these more advanced problems to deepen your understanding.
1.
A TV’s price increased by 12%, then decreased by 12%. Is the final price higher, lower, or the same as the original? Explain your reasoning.
[4 marks]2.
A clothing store marks up the price of a jacket by 25%. If the original cost was £40, what is the marked-up price? Then, if they give a 10% discount on the marked-up price, what is the final price?
[5 marks]D
Mixed Review & Error Analysis
Complete the following questions, including identifying common mistakes.
1.
A price increases by 20% to £120. Find the original price. (Identify and correct any mistake in this calculation if the answer is incorrect.)
[4 marks]2.
Calculate the new amount when £250 increases by 8%.
[2 marks]3.
A shop sells an item for £60 after a 25% discount. What was the original price?
[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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet