past paper unit 3 maths edexcel

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Mathematics (Modular) ­ 2381
Paper 14 (Calculator)
Higher Tier
Unit 3
Friday 12 November 2010 ­ Morning
Time: 1 hour 10 minutes
Materials…

GCSE Mathematics 2381

Formulae: Higher Tier

You must not write on this formulae page.
Anything you write on this formulae page will gain NO credit.


Volume of a prism = area of cross section × length



cross
section

length




4 r 3
Volume of sphere = 3 Volume of cone…

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Answer ALL NINETEEN questions.

Write your answers in the spaces provided.

You must write down all stages in your working.


1. Here is a list of ingredients to make melon sorbet for 6 people.

Melon Sorbet
for 6 people

800 g melon
4 egg whites
1
lime
2…

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2.
y
y=x




O x


(a) Reflect the shaded shape in the line y = x.
(2)


y




O x


(b) On the grid, enlarge the shaded shape by a scale factor of 3, centre O.
(3) Q2

(Total 5 marks)




4
*N37734A0416*

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3. Noah got 8 out of 20 in a test.

Write 8 out of 20 as a percentage.




................................ % Q3

(Total 2 marks)

4. (a) Solve 2x + 3 = 10




x = ...............................
(2)

(b) Simplify

(i) c5 × c6

.....................................

(ii) e12 ÷ e4

.....................................…

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5. Use your calculator to work out

13.7 + 5.86
2.54 × 3.17

Write down all the figures on your calculator display.
You must give your answer as a decimal.




................................................................ Q5

(Total 2 marks)

6. -3 < k 2
k is an integer.

Write down all the…

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7. A shop sells small boxes and large boxes for storing CDs.

A small box stores x CDs.
A large box stores y CDs.

Ethan buys 7 small boxes.

(a) Write down an expression for the number of CDs he can store in the 7 small boxes.




.....................................…

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8. The diagram shows a solid prism made from centimetre cubes.




(a) On the centimetre square grid, draw the front elevation of the solid prism
from the direction shown by the arrow.




(2)

(b) On the centimetre square grid below, draw the plan of the solid prism.




(2)…

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9. (a) Solve 3(k - 5) = 24




.....................................
(2)

2x2 = 162

(b) Find a value of x.




.....................................
(2) Q9

(Total 4 marks)

10. Work out (5.2 × 10 -7) × (2.8 × 10 -9)

Give your answer in standard form.




............................................................... Q10

(Total 2 marks)…

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11. Here are four containers.
Water is poured into each container at a constant rate.




1 2 3 4

Here are four graphs.
The graphs show how the depth of the water in each container changes with time.


A B
Depth of Depth of
water water

O Time…