topic: fractions decimals percentages · on 1st may 2012, the cost of 5.7 grams of gold was 15 960...
TRANSCRIPT
Name: _______________________________________________
TOPIC: FRACTIONS DECIMALS PERCENTAGES
2015 and 2016 (ALL QUESTIONS)
Date:
Time:
Total marks available:
Total marks achieved: ______
these are the Bones of the marks, the BASICS!!! You should be getting all of these correct - this is how you get the C and B grades in the bag!
Questions Q1.
Show that
(Total for question = 2 marks)
Q2.
(a) Show that
(2)
(b) Show that
(3)
(Total for question = 5 marks)
Q3.
Liam invests £8000 in a savings account for 4 years. The savings account pays compound interest at a rate of
4.5% for the first year 2.75% for all subsequent years.
(a) Work out the value of Liam's investment at the end of 4 years.
£...........................................................
(3)
Max invests some money in a savings bond. The savings bond pays interest at a rate of 2% per year.
At the end of the first year, his savings bond is worth £5763
(b) How much money did Max invest in the savings bond?
£...........................................................
(3)
(Total for question = 6 marks)
Q4.
Use algebra to show that the recurring decimal
(Total for question = 2 marks)
Q5.
Show that
(Total for question = 2 marks)
Q6.
A clothes shop has a sale.
In the sale, normal prices are reduced by 12% The normal price of a shirt is £30
(a) Work out the sale price of the shirt.
£ ...........................................................
(3)
The price of a coat is reduced by £9 in the sale.
(b) Work out the normal price of the coat.
£ ...........................................................
(3)
(Total for question = 6 marks)
Q7.
Bhavin, Max and Imran share 6000 rupees in the ratios 2 : 3 : 7
Imran then gives of his share of the money to Bhavin.
What percentage of the 6000 rupees does Bhavin now have? Give your answer correct to the nearest whole number.
........................................................... %
(Total for question = 5 marks)
Q8.
In 1981, the population of India was 683 million. Between 1981 and 1991, the population of India increased by 163 million.
(a) Express 163 million as a percentage of 683 million.
Give your answer correct to 3 significant figures.
........................................................... %
(2)
In 2001, the population of India was 1028 million. Between 2001 and 2011, the population of India increased by 17.6%
(b) Increase 1028 million by 17.6%
Give your answer to the nearest million.
........................................................... million
(3)
In 2001, the population of India was 1028 million. Between 1971 and 2001, the population of India increased by 87.6%
(c) Work out the population of India in 1971.
Give your answer correct to the nearest million.
........................................................... million
(3)
(Total for question = 8 marks)
Q9.
In a sale, normal prices are reduced by 8%
(a) The normal price of a jacket is £28
Work out the price of the jacket in the sale.
£ ...........................................................
(3)
(b) In the sale, the price of a shirt decreases by £3
Work out the normal price of the shirt.
£ ...........................................................
(3)
(Total for question = 6 marks)
Q10.
In a sale, all normal prices are reduced by 20%
(a) The normal price of a television set is 485 euros.
Work out the sale price of the television set.
........................................................... euros
(3)
(b) In the sale, the normal price of a tablet computer is reduced by 79 euros.
Work out the normal price of the tablet computer.
........................................................... euros
(3)
(Total for question = 6 marks)
Q11.
There were 2.1 million people living in Dubai in 2013 1.75 million of these people were not born in Dubai.
(a) Work out 1.75 as a percentage of 2.1
Give your answer correct to 1 decimal place.
........................................................... %
(2)
The unit of currency in Dubai is the dirham. The exchange rate is £1 = 5.52 dirham.
The cost of a pair of running shoes in Dubai is 343 dirham. The cost of an identical pair of running shoes in the UK is £54.99
The pair of running shoes is more expensive in Dubai than in the UK.
(b) How much more expensive?
Give your answer to the nearest dirham.
........................................................... dirham
(3)
A plane flies a distance of 5522 km from London to Abu Dhabi in 7 hours 24 minutes.
(c) Work out the average speed of the plane.
Give your answer in kilometres per hour, correct to 3 significant figures.
........................................................... kilometres per hour
(3)
(Total for question = 8 marks)
Q12.
Lisa sees a dress in a sale. The normal price of the dress is $45 The price of the dress is reduced by 12% in the sale.
(a) Work out the price of the dress in the sale.
$ ...........................................................
(3)
Lisa's weekly pay increases from $525 to $546
(b) Calculate her percentage pay increase.
........................................................... %
(3)
(Total for question = 6 marks)
Q13.
Use algebra to show that the recurring decimal
(Total for question = 2 marks) Q4.
On 1st May 2012, the cost of 5.7 grams of gold was 15 960 rupees.
(a) Work out the cost, in rupees, of 4.6 grams of gold on the same day.
........................................................... rupees
(2)
The cost of gold decreased by 7.5% from 1st May 2012 to 1st May 2013
(b) Work out the cost, in rupees, of 5.7 grams of gold on 1st May 2013
.......................................................... rupees
(3)
(Total for question = 5 marks) Q15.
Show that
(Total for question = 3 marks)
Q16.
The value of a boat depreciates by 16% each year. At the end of 2012, the value of the boat is £65000
Work out the value of the boat at the end of 2015
£ ...........................................................
(Total for question = 3 marks) Q17.
Eloy's height was 125 cm when his age was 7 years. His height was 153 cm when his age was 12 years.
(a) Work out the percentage increase in Eloy’s height between the ages of 7 and 12 years.
...........................................................%
(3)
Eloy's height at the age of 12 years was 85% of his height at the age of 20 years.
(b) Work out Eloy's height when his age was 20 years.
........................................................... cm
(3)
(Total for question = 6 marks)
Mark Scheme Q1.
Q2.
Q3.
Q4.
Q5.
Q6.
Q7.
Q8.
Q9.
Q10.
Q11.
Q12.
Q13.
The correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.
Q14.
The correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.
Q15.
Q16.
The correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.
Q17.