Practice

Percentage change and percentage points

The lesson for this topic

Question 1Calculator allowed

Annual software costs fell from £45,000 to £38,250. What was the percentage decrease?

Question 2Calculator allowed

Of 640 applicants, 15% passed the online test, and 25% of those were made an offer. How many offers were made?

Question 3Calculator allowed
Staff by department: Finance 48, HR 22, IT 65, Operations 105.
DepartmentStaff
Finance48
HR22
IT65
Operations105

What percentage of staff work in IT? Give your answer to one decimal place.

Question 4Calculator allowed

Online sales were 40% of a retailer’s £2.5m revenue. Mobile accounted for 30% of online sales. What was mobile revenue?

Question 5Calculator allowed
Branch revenue in £000: East 320 in 2024 and 368 in 2025; West 250 in 2024 and 275 in 2025.
Branch2024 revenue (£000)2025 revenue (£000)
East320368
West250275

By what percentage did East revenue increase from 2024 to 2025?

Question 6Calculator allowed
Staff numbers: 2024, 80 staff of whom 60 full-time; 2025, 90 staff of whom 72 full-time.
YearAll staffFull-time staff
20248060
20259072

By how many percentage points did the full-time share of staff rise from 2024 to 2025?

Question 7Calculator allowed
Units sold: Q1 800, Q2 1,000, Q3 1,100, Q4 1,320.
QuarterQ1Q2Q3Q4
Units sold8001,0001,1001,320

Between which consecutive quarters did sales rise by the largest percentage?

Question 8No calculator

A region’s unemployment rate rose from 4% to 5%. Which statement is correct?

Question 9Calculator allowed
Units sold by region: North 520 then 567; South 410 then 455; East 380 then 414; West 600 then 658.
Region20242025
North520567
South410455
East380414
West600658

Which region’s sales grew by more than 10% from 2024 to 2025?

Question 10Calculator allowed

In 2024, 45 of 150 graduates chose a remote role. In 2025, 63 of 180 did. By how many percentage points did the remote share change?

Question 11Calculator allowed

A company sold £9m in a £50m market. A year later the market is worth £60m and the company sells £10.2m. How did its market share change?

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