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NUMERACY
& STATISTICS

** **

**Instructions to candidates:**

a) Time
allowed: Three hours (plus an extra ten minutes’ reading time at the start – do
not write anything during this time)

b)
Answer ALL questions in Part A and any THREE questions in Part B

c) Part
A carries 40% of the marks and Part B carries 60% of the marks

d)
Marks for each question are shown in [ ]

e)
Non-programmable calculators are permitted in this examination

** **

**PART A (Answer ALL questions in this section)**

1.
Jonah invested £110,000 in a new retail business and spent 55% on commercial
buildings, 25% on computer equipment and 15% on advertising and marketing.
Calculate how much money he has left to spend on stock to sell. [4]

2. Andy
works as a technician for a computer repair shop. He receives a basic salary of
£24,375 per year and receives a performance bonus of 7.5% of his annual salary
each year. His tax allowance is £10,600 for the tax year 2015/2016.

a)
Calculate his gross pay for the year. [4]

b) If
the basic rate of tax is 20%, calculate his net pay for the year. [5]

c) It
is proposed to increase the tax free allowance to £11,000 for the 2016/2017 tax
year. Calculate the amount of tax he will pay in the next tax year. [5]

a)
Calculate the cumulative frequency for turnips. [3]

b) Draw
the cumulative frequency curve. [5]

4. Red
Quadrant Engineering produce electric fuel pumps for cars. The fixed costs are
£120 and the variable cost per fuel pump is £13.

a) Give
an expression for total costs (c), in terms of q, the quantity produced. [3]

b) Use
your answer in a) to determine the total costs if 190 fuel pumps are produced.
[3]

c)
Prepare a graph of the expression for total costs. [8]

* *

*
Continued overleaf*

** **

**PART
B (Answer THREE questions from this section)**

a) Draw
a scatter diagram related to the data provided above and plot on it the line of
best fit. [10]

b) i.
Calculate the expected factory cost if 15,000 assemblies were produced in a
particular month.

ii. Estimate Iconic Productions’ monthly
fixed costs. [5 each]

6.
Lateral Plastics have just received an order for piping made of PVCU. The
section of piping has an outer diameter of 16cm and the plastic is 6mm thick.
The section of piping is 200cm long and 1,500 pipes have been ordered.
Calculate:

a) The
internal diameter of the pipe in centimetres [3]

b) The
area of plastic in the cross-section of the pipe when looking at the pipe from
the end [5]

c) The
volume of plastic used in the making of EACH section of pipe [5]

d) The
total cost of the order, if the cost of the plastic is £7.50 per cm³ [7]

7.
Quest Projects is an international import-export company dealing in
manufactured products of all types.