Higher Mock Terminal Calculator Modular Paper

8/3/2019 Higher Mock Terminal Calculator Modular Paper

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Examiners use only

Team Leaders use only

Surname Initial(s)

Signature

CentreNo.

Turn over

CandidateNo.

Paper Reference(s)

5384H/14HEdexcel GCSEMathematics (Modular) 2381Paper 14 (Calculator)

Higher TierUnit 3 Section BMock Paper Time: 1 hour 10 minutes

Materials required for examination Items included with question papersRuler graduated in centimetres and Nilmillimetres, protractor, compasses,

pen, HB pencil, eraser, calculator.Tracing paper may be used.

Instructions to CandidatesIn the boxes above, write your centre number, candidate number, your surname, initials and signature.Check that you have the correct question paper.Answer ALL the questions. Write your answers in the spaces provided in this question paper.You must NOT write on the formulae page. Anything you write on the formulae page will gainNO credit.If you need more space to complete your answer to any question, use additional answer sheets.

Information for CandidatesThe marks for individual questions and the parts of questions are shown in round brackets: e.g. (2) .There are 19 questions in this question paper. The total mark for this paper is 60.There are 16 pages in this question paper. Any blank pages are indicated.Calculators may be used.If your calculator does not have a button, take the value of to be 3.142 unless the question instructsotherwise.

Advice to CandidatesShow all stages in any calculations.Work steadily through the paper. Do not spend too long on one question.If you cannot answer a question, leave it and attempt the next one.Return at the end to those you have left out.

This publication may be reproduced only in accordance withEdexcel Limited copyright policy.2007 Edexcel Limited.

Printers Log. No.

N33853AW850/R5384H/57570 2/2/2/2

*N33853A0116*

Paper Reference

5 3 8 4 H 1 4 H


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GCSE Mathematics

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

Volume of sphere r 3 Volume of cone r 2h

Surface area of sphere = 4 r 2 Curved surface area of cone = rl

In any triangle ABC The Quadratic EquationThe solutions of ax 2 + bx + c = 0where a 0, are given by

Sine Rule

Cosine Rule a 2 = b 2 + c 2 2 bc cos A

Area of triangle ab sin C 12=

sin sin sin

a b c

A B C = =

13

=43

=

l e n g t h

crosssection

r

h

r

l

C

ab

c B A

2( 4 )2

b b ac x

a

=


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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.

Reflect the shaded shape in the line AB.

2. Two girls share 24.80 in the ratio 3: 5

Work out the difference between the larger share and the smaller share.

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

Q1

(Total 2 marks)

Q2

(Total 3 marks)

A

B


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3.

A circle has a radius of 5cm.

Work out the area of the circle.Give your answer correct to 1 decimal place.Write down the units in your answer.

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

4. A stall sells apples and figs.

Apples cost a pence each.Figs cost f pence each.

Sanjay buys 5 apples and 2 figs.The total cost is C pence.

Write down a formula for C in terms of a and f .

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

Q3

(Total 3 marks)

5 cmDiagram NOTaccurate ly drawn

Q4

(Total 3 marks)


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5. Write 20 minutes as a fraction of 2 hours.Write your answer as a fraction in its simplest form.

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

6.

On the grid, rotate the shaded triangle through 90, anticlockwise, about the point P .

Q5

(Total 2 marks)

Q6

(Total 2 marks)

P


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7. (a) Simplify (i) ( x4)3 ............................

(ii) y6 y2 ............................(2)

(b) Ruth says that 7 x + 2 x 5 is an equation.

Ruth is wrong.Explain why.

.......................................................................................................................................(1)

8.

ABC is an isosceles triangle with AB = AC . BC = (2 x 1) centimetres. AC = ( x + 7) centimetres.

The perimeter of the triangle is 27 centimetres.Work out the length of BC .

............................ centimetres

Q7

(Total 3 marks)

A

mar gaiD NOT x + 7 accurate ly drawn

C B2 x 1

Q8

(Total 4 marks)


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9.

The exterior angle of a regular polygon is 40 .

Work out the number of sides of this regular polygon.

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

Diagram NOTaccurate ly drawn

40

Q9

(Total 2 marks)


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10. (a) Complete the table of values for y = x2 x + 3

x 3 2 1 0 1 2 3

y 15 5 5 9

(2)

(b) On the grid, draw the graph of y = x2 x + 3 for 3 x 3

(2)

y

x1

2

1 1

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

2 323 0

Q10

(Total 4 marks)


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11. The equation

2 x3 x = 200

has a solution between 4 and 5.

Use a trial and improvement method to find this solution.Give your answer correct to 1 decimal place.You must show ALL your working.

x = ............................... Q11

(Total 4 marks)


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12. (a) On the diagram, draw the locus of points which are 3 cm from B.(1)

(b) On the diagram, draw accurately the locus of points which are the same distance fromthe line OA and from the line OB.

(2)

Q12

(Total 3 marks)

A

O B


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13. Jean invests 6000 for 3 years at 5% compound interest per annum.

Calculate the value of her investment at the end of the 3 years.

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

14. Calculate the value of

8 34 2 9 357 1 6 25

3. . tan. .

+

Write down all the figures on your calculator display.

......................................................... Q14

(Total 2 marks)

Q13

(Total 3 marks)


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15. The table shows some expressions.the letters a , b and c represent lengths.

, 2 and 3 are numbers that have no dimensions.

Tick ( ) the boxes underneath the three expressions which could represent areas.

2b(3a + c) 3 cac

b

2

2a 3 b2 3c + 2 b 3a2 b

a

2

2

16. In a sale, the normal prices are reduced by 20%.

In the sale, Hajra pays 27.60 for a skirt.

Calculate the normal price of the skirt.

.................................. Q16

(Total 3 marks)

2 0 % o f f

Q15

(Total 3 marks)


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17. To the nearest metre, x = 24 m and y = 6 m.

(a) Calculate the upper bound for the value of xyWrite down all the numbers shown on your calculator display.

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

(b) Calculate the lower bound for the value of x y

Write down all the numbers shown on your calculator display.

........................................ m(2) Q17

(Total 4 marks)


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18.

ODEF is a sector of a circle with centre O.OD = OF = 6. 2 cm.Angle DOF = 80

Calculate the area of the shaded segment DEF .Give your answer correct to 3 significant figures.

............................. cm 2

D

6.2 mar gaiD

mcNOT

yletar ucca dra wn

O 80 E

6.2 cm

F

Q18

(Total 5 marks)


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19. Solve the simultaneous equations

y = 11 x + 3 y = 4 x2

x = ..................... y = .....................

or

x = ..................... y = .....................

TOTAL FOR PAPER: 60 MARKS

END

Q19

(Total 5 marks)


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Higher Mock Terminal Calculator Modular Paper

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