Extracts from an O-level maths paper from 1985 from the University of Cambridge Local Examinations Syndicate
1 Calculate the exact value of
i) 4 - 1.67
ii) 0.4 x 3.5
3 (a) Express 486mm in cm, giving your answer correct to the nearest cm.
(b) Express 5.126 correct to two significant figures.
- a) Calculate the total time required for 5 journeys each of 1 hour 34 minutes.
b) (i) A marathon race started at 11.55 and one of he runners reached the finish at 15.37. Calculate the time taken by this runner.
ii) Another runner took 25min for the first 8km. If he continued to run at the same steady speed, calculate the time taken for the next 12km.
- Solve the simultaneous equations:
3x - 4y = 25
4x - 5y = 32
x =
y =
- All of the pupils in a class have four choices in their study of languages.
They may study French only,
or French and German,
or French and Latin,
or all three of these languages.
Draw a clearly labelled Venn diagram to illustrate this information.
- a)A rectangular courtyard 17m long by 9¼m wide is to be covered by square paving slabs each of side ½m. Calculate the number of paving slabs which will be required.
b) A different area to be paved needs 390 slabs. Given that one-third of these cost £1.20 each and the remainder cost £1.40 each, calculate the total cost of the slabs.
- i) On a packet of lettuce seeds it is stated that 85% should produce seedlings. Find the number of seedlings which would be expected from a packet containing 800 seeds.
ii) (a) A market gardener sows 25000 tomato seeds. Given that 21500 produce seedlings, calculate the percentage which did not produce seedlings.
b) In one season he sold 130 tonnes of tomatoes, which was 4% more than he had expected. Calculate the number of tonnes he had expected to sell.
Extracts from the Edexcel maths GCSE from 6 June 2011 (Foundation paper, no calculator). This is one of four papers
- (a) Write the number 1345 in words.
(b) Write the number twelve thousand seven hundred and fifty in figures.
(c) Write the number 4670 to the nearest hundred.
- Simone and Barry use this rule to work out their pay.
Pay = £6.20 × number of hours worked
Simone works for 4 hours.
(a) Work out her pay.
£ ..................................
Barry's pay is £15.50
(b) How many hours did he work?
................................. hours
- Amy buys 50 computers.
She pays £160 for each computer.
Amy is going to sell some of the computers.
She wants to get at least 35% more than she paid for all the computers.
She is going to sell each computer for £400
Work out the smallest number of computers Amy needs to sell.
- Some students went to the cinema.
Each student watched film A or film B or film C.
Three eighths of the students watched film A.
40% of the students watched film B.
What fraction of the students watched film C?
Extracts from the Edexcel GCSE maths paper 6 June 2011 (Higher paper, no calculator)
- h= 5t²+ 2
(a) (i) Work out the value of h when t= ?2
.....................................
(ii) Work out a value of t when h= 47
.....................................
(b) 1 n < 4
n is an integer.
Write down all the possible values of n.
- Each exterior angle of a regular polygon is 30°.
Work out the number of sides of the polygon.
- The nth term of a number sequence is given by 3n+ 1
(a) Work out the first two terms of the number sequence.
................................................
Here are the first four terms of another number sequence.
1 5 9 13
(b) Find, in terms of n, an expression for the nth term of this number sequence.
- (a) Expand x(x+ 2)
(b) Expand and simplify (x+ 3)(x? 4)
(c) Factorise completely 2y²? 4y
(d) Factorise x²? 9
- Solve the simultaneous equations
4x+y=10
2x? 3y=19
x=
y=