Depreciation

Sample Depreciation questions

A few of the 27 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 14 marksGrade 4
   In 2017, the value of a house increased by 4%. In 2018, the value then decreased by 3%. Teresa says: "Over the two years the value of the house increased by exactly 1%, because 4 − 3 = 1." Show that Teresa is wrong.
   Show the worked solution

   Combined multiplier: 1.04 × 0.97 = 1.0088. M1 M2

   This represents a 0.88% increase, not 1% - Teresa's subtraction (4−3=1) doesn't account for the second percentage applying to a different (already-changed) base value. M3 A1
2. Question 22 marksGrade 5-6
   Ryan buys a van worth £7673. Each year, it depreciates by 10% of its value at the start of that year. Work out the value of the van after 2 years. Give your answer correct to 2 decimal places.
   Show the worked solution

   Depreciation of 10% per year means the value is repeatedly multiplied by 0.9, since each year's loss is calculated on the PREVIOUS year's value, not the original value.

What are the common mistakes in Depreciation?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Misapplies the relationship between the parts of a ratio

  Applied the 10% decrease only once instead of once per year for 2 years - the multiplier needs to be raised to the power of 2

• Uses the wrong operation or sign when translating a worded description into an algebraic expression

  Added the three percentage rates together (15% + 24% + 13% = 52%) and applied this as a single decrease to the original £19900, instead of applying each year's depreciation in turn to the running (already-reduced) value

• Adds the two percentage changes together

  Added the 30% and the found percentage together to try to get a combined effect, instead of finding $r\%$ as a SEPARATE reduction applied to the ALREADY-REDUCED sale price, not the original price.

Quick answers about Depreciation

How many Depreciation practice questions are there?

There are 27 self-marking GCSE and IGCSE Maths questions on Depreciation, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Depreciation?

No. You can start practising Depreciation straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.