PERCENTAGE WORD PROBLEMS 6.2A (UK VERSION) - Answers

Oct 22, 2026

A worksheet of percentage word problems for UK math practice, focused on calculating proportions, totals, and unit-based outcomes from given percentages. It includes six scenarios: pie sales by category, a movie length split by percentages and minutes, combined weekly car sales using a percentage of the week total, a budget breakdown with a leftover amount, vegan counts from percentages of Year 6 and Year 7 students, and a long-jump distance increase from a percentage. A corresponding answers section shows the key calculations and rounded results.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Percentage word problems 6.2A (UK version)

Questions 1-6

Answers 1-6

Name Date PERCENTAGE WORD PROBLEMS 6.2A (UK VERSION) Find the answers to these percentage word problems. Round your answers to the nearest whole number where appropriate. 1) A pie shop sells 32 apple pies, 33 pumpkin pies, 20 cherry pies, and 15 chocolate pies. What percentage of pies sold were apple or cherry? | 2) Newton watches a movie with his friends. They watch 50% of the movie and then take a break. They then watch the remaining 65 minutes. How long was | | | --- | --- | | the movie? | | 3) Captain’s Autos sells 22 used cars on Monday, and 18 cars on Tuesday. This was 25% of the number of sales for the week. How many cars did they sell altogether that week? | 4) Sally spends 15% of her weekly budget on food, and 35% on rent. She has £350 leftover. | | | --- | --- | | How much was her budget? | | 5) There are 30 Year 6 students and 40 Year 7 students in a group. 10% of the Year 6 students and 25% of the Year 7 students are vegan. How many vegans are in the group altogether? | 6) Tyger and Newton have a long jump competition. Tyger jumps 20% further than Newton. If Newton jumps 400 cm, how far | | | --- | --- | | does Tyger jump? | | Name Date PERCENTAGE WORD PROBLEMS 6.2A (UK VERSION) ANSWERS Find the answers to these percentage word problems. Round your answers to the nearest whole number where appropriate. 1) A pie shop sells 32 apple pies, 33 pumpkin pies, 20 cherry pies, and 15 chocolate pies. What percentage of pies sold were apple or cherry? 32+33+20+15 = 100 pies in total sold. 32 + 20 = 52 pies are apple or cherry. 52 pies out of 100 = 52% 52% of the pies sold were apple or cherry. 3) Newton watches a movie with his friends. They watch 50% of the movie and then take a break. They then watch the remaining 65 minutes. How long was the movie? 50% of the movie = 65 minutes long So the whole movie = 65 + 65 minutes = 130 minutes long 3) Captain’s Autos sells 22 used cars on Monday, and 18 cars on Tuesday. This was 25% of the number of sales for the week. How many cars did they sell altogether that week? Mon & Tue = 22 + 18 = 40 cards sold 25% x 4 = 100% So there are 40 x 4 = 160 cars sold that week. 4) Sally spends 15% of her weekly budget on food, and 35% on rent. She has £350 leftover. How much was her budget? She spends 15% + 35% = 50% on food and rent. So 50% of her budget is left. 50% of her budget = £350. So her budget is £350 + £350 = £700 5) There are 30 Year 6 students and 40 Year 7 students in a group. 10% of the Year 6 students and 25% of the Year 7 students are vegan. How many vegans are in the group altogether? 10% of 30 = 0.1 x 30 = 3 25% of 40 = 0.25 x 40 = 10 Total number of vegan = 3 + 10 = 13 students 6) Tyger and Newton have a long jump competition. Tyger jumps 20% further than Newton. If Newton jumps 400 cm, how far does Tyger jump? 20% of 400 = 0.2 x 400 = 80 cm So Tyger jumps 400 + 80 = 480 cm

FAQs

How do you find the percentage of pies that are apple or cherry?

Add the numbers of apple and cherry pies, divide by the total pies sold, and convert the fraction to a percentage. For example, 52 out of 100 pies is 52%.

How do you calculate the total movie length when part is given in minutes?

Find the missing percentage part: if the remaining part is 65 minutes, then the full movie is twice that (since 50% + remaining 50%). The result here is 130 minutes.

How do you compute Tyger’s jump distance from a 20% increase?

Take 20% of Newton’s distance to find the increase, then add it to Newton’s distance. With 400 cm, 20% is 80 cm, so Tyger jumps 480 cm.

Oct 22, 2026

Uploaded by Maya Linwood