Sample. Resource PERCENTAGES (AQA FOUNDATION) MODEL ANSWERS GCSE MATHEMATICS KEY TOPIC PRACTICE SHEETS

Size: px

Start display at page:

Download "Sample. Resource PERCENTAGES (AQA FOUNDATION) MODEL ANSWERS GCSE MATHEMATICS KEY TOPIC PRACTICE SHEETS"

Ursula Norton
5 years ago
Views:

suitable for Foundation Tier students A calculator

1 GCSE MATHEMATICS KEY TOPIC PRACTICE SHEETS PERCENTAGES (AQA FOUNDATION) These questions are suitable for Foundation Tier students A calculator can be used for all these questions MODEL ANSWERS

2 1 (a) What is as a percentage? Circle your answer. 34% 0.34% 3.4% 0.034%! 1 (b) What is as a percentage? "# Circle your answer. 20% 15% 5% 60% 1 (c) 10 minutes before a football match there were $ people in the crowd. By the time of kick-off, the crowd had increased by 15%. How many people were in the crowd at kick-off? Circle your answer. $ $ 1.15$ $ Copyright tutor2u [1 mark] [1 mark] [1 mark]

3 2 Put these in order of size from smallest to largest. 15% of 85 Copyright tutor2u * + of 15 70% of 18 * of 90,# Smallest Largest

4 Copyright tutor2u A survey was conducted into the favourite breakfast drink. The information is shown in the table. 3 (a) Complete the table Drink Percentage Tea 33% Coffee 27% Fruit Juice Milk 9% Water 4% Hot Chocolate 16% 3 (b) 450 people took part in the survey. How many preferred Hot Chocolate for their breakfast drink? [1 mark] [2 marks] 4 Tick the correct statement below 43% of 34 is bigger than 34% of 43 34% of 43 is bigger than 43% of 34 43% of 34 and 34% of 43 are both the same Answer. [2 marks]

5 5 700 students attend a school. 48% of the students are female. How many male students attend the school? Copyright tutor2u [2 marks] Answer. 6 In an election there were three candidates. The number of votes each candidate received is shown in the table below. Candidate Votes Alan 311 Brenda 193 Catherine 421 What percentage of the total vote did Catherine receive? Give your answer correct to 1 decimal place. Answer.

6 7 Jill did a mathematics test and an English test. In mathematics Jill got 44 out of a possible 60 marks. In English Jill got 61 out of a possible 85 marks. Compare Jill s performance in mathematics with her performance in English. Copyright tutor2u (a) Increase 125 by 9.1%. [2 marks] 8 (b) Decrease 255 kg by 11.4%.. [2 marks] kg

7 Copyright tutor2u Daniel invests 250 in a bank which pays simple interest at a rate of 4% per year. He doesn t put any more money into the account or take any out over the next 5 years. How much will he have in the account at the end of the fifth year? 10 In 1991 the population of the UK was 57.4 million. In 2011 the population of the UK was 63.2 million.. What was the percentage increase in the population of the United Kingdom from 1991 to 2011? Give your answer correct to 1 decimal place. Answer.

8 11 The price of a return train ticket between Sheffield and London increased by 3.2%. The ticket went up in price by What was the price of the return ticket before the increase? Copyright tutor2u During the last ten years, the population of Humberstone has decreased by 16%. If its population is currently 27,400, find and estimate of the population of Humberstone 10 years ago. Answer.

9 Copyright tutor2u A shop decides to slash its prices by 50% in January to entice people to buy from them. In February it increases its prices by 50%. You should compare the prices charged by the shop at the start of January with those charged at the end of February. What is the overall effect of these two changes?

10 14 Paul has 1000 to invest. He is choosing between two different bank accounts. The return on his investment from each bank is shown below. NATIONAL BANK 5% interest paid at the end of the first year. 1.5% compound interest paid at the end of each year after this. Paul intends leaving his money in the bank for 5 years. Which bank account should he choose? You must justify your answer. Copyright tutor2u CITY BANK 2.3% compound interest paid at the end of each year. [6 marks]

15 3.8 m A water trough is in the shape of a prism with a semi-circular cross-section as shown in the diagram. 7.2 m The trough can only be filled to 90% of its full volume.

11 m A water trough is in the shape of a prism with a semi-circular cross-section as shown in the diagram. 7.2 m The trough can only be filled to 90% of its full volume. The trough is filled with water at a constant rate of 150 litres per minute. How many minutes will it take to fill the trough to 90% of its full volume? Give your answer to the nearest minute. (1 m 3 = 1000 litres) [5 marks] minutes Copyright tutor2u

GCSE style questions arranged by topic

Write your name here Surname Other names In the style of: Pearson Edexcel Level 1/Level 2 GCSE (9-1) Centre Number Mathematics Fractions GCSE style questions arranged by topic Candidate Number Foundation