4024/21

Mathematics (Syllabus D) 4024/21May/June 2011

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

11
questions
100
marks
150
minutes

Topics Algebra and Graphs · Geometry · Trigonometry · Mensuration · Number · Transformations and Vectors · +4 more

Q1NumberFree sample
(a)

Ahmed’s internet provider offers two payment schemes.

Scheme A : $30 per month for unlimited use.
Scheme B : $0.05 per minute on weekdays and $0.03 per minute at the weekend.

Each month Ahmed uses the internet for a total of 5145\frac{1}{4} hours at the weekday rate and a total of 12 hours at the weekend rate.

Find the cost per month, in dollars, for Scheme B and decide which payment scheme is cheaper.

Scheme B costs $ ______
Scheme ______ is cheaper

2M
(b)

Ahmed’s printer can use large or small black cartridges.
A large cartridge costs $48.50 and prints 1000 pages.
A small cartridge prints 650 pages.
2 small cartridges cost $65.

(i)

Find the cost per page, in dollars, if Ahmed buys 2 small cartridges.

$ ______

1M
(ii)

Is it cheaper per page for Ahmed to buy 2 small cartridges or a large cartridge?
Show your working.

1M
(c)

Ahmed buys a new monitor, keyboard and computer.
He is given a 15% discount off the total price.
The discounted price that Ahmed pays is $1134.75.
The price of the monitor before the discount was $375.
The price of the keyboard before the discount was $70.

Calculate the price of the computer before the discount.

$ ______

3M

The rest of this paper

10 more questions
  • Q2Coordinate Geometry · Algebra and Graphs9M
  • Q3Trigonometry · Geometry · Number · Algebra and Graphs8M
  • Q4Algebra and Graphs · Mensuration7M
  • Q5[Legacy] Matrices · Transformations and Vectors · Mensuration12M
  • Q6Transformations and Vectors · Geometry9M
  • Q7Trigonometry · Geometry · Mensuration12M
  • Q8Geometry · Trigonometry · Algebra and Graphs12M
  • Q9Statistics · Probability12M
  • Q10Mensuration · Number12M
  • Q11Algebra and Graphs · Geometry · Trigonometry12M
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