PDF- solution of extended mathematics for -Extended Mathematics Cambridge Igcse Past Papers Ebook - Cambridge Igcse Mathematics Extended Practice Book Example Practice Papers

Description

### Example Practice Paper 2

Mark scheme for Paper 2

# Example Practice Paper 4

Mark scheme for Paper 4

## Cambridge IGCSE Mathematics Extended Practice Book Example Practice Paper 2

• 1 hour 30 minutes

## If the answer is not exact but a degree of accuracy has not been provided,

• give the answer as follows:
• - to three significant figures for all values,
• - to one decimal place for degrees

- for π,

use either your calculator value or 3

#### The total of the marks for this paper is 67

PLEASE NOTE: this practice examination paper has been written in association with the below publication and is not an official exam paper:

Paperback 9781107672727

(a) For the diagram above write down (i) the order of rotational symmetry,

(ii) the number of lines of symmetry

Answer(a)(ii) ………………………………  (b) The prism below has 6 square faces and a regular hexagonal cross-section

### Write down the number of planes of symmetry for the prism

#### Calculate the value of

• 2 3 + 74 (2 − 3)2

(b) writing you answer correct to 3 decimal places

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

### Find the midpoint of the line joining the points A(4,

• 3) and B(−3,
• ( …………… ,
• ………… )

#### Expand the brackets and simplify

• 1 (9 x − 3) − 5( x − 3) 3

#### Zagreb changed \$600 into euros at an exchange rate of \$1 = €1

He later changed all of the euros back into dollars at an exchange rate of \$1 = €1

How many dollars did he receive

Solve the simultaneous equations

• x + 4y = −19 3y – 5 = 2x

• 3 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

The dimensions of a rectangle are 13 cm by 7 cm,

• correct to the nearest cm

# The intensity of radiation from the Sun,

is inversely proportional to the square of the distance from the Sun,

## Find d'when R = 500

### (A∩B)∪C

A ∩ B' 

• 10 A woman invested \$300 for 5 years at 7% per year compound interest

# Calculate the final amount she had after 5 years

### Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

• 11 ⎛ 3 −4 ⎞ A= ⎜ ⎟ ⎝1 2 ⎠

## ⎛ ⎜ ⎜ ⎜ ⎝

⎞ ⎟ ⎟ ⎟ ⎠

⎛ ⎜ ⎜ ⎜ ⎝

#### ⎞ ⎟ ⎟ ⎟ ⎠

• (b) A−1,
• the inverse of A

### A conference table is made of two quarter circles and two identical triangles

The radius of the quarter circles is 0

Calculate the surface area of the top of the table

• 5 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

• 13 Make x the subject of y =

5− x 6

• 14 The lengths of the sides of a parallelogram are 6 cm and 8 cm

## The length of the longer diagonal of the parallelogram is 11 cm

AB is a side of the parallelogram

Using a straight edge and a compasses only,

• construct the parallelogram

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

• 15 40 35 Car A
• 30 25 Speed (m/s)

20 15 10 5

• 25 30 35 Time (seconds)

## A and B

(a) Work out the acceleration of car A during the first 10 seconds

(b) Calculate how far car B travels before coming to rest

(c) State which car experiences the highest deceleration

• 7 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

• 16 Simplify ⎛ x10 ⎞ (a) ⎜ ⎟ ⎝ 32 ⎠
• −3 −2

### ÷ 2−2 x 5

• 17 Simplifying as much as possible,

write the following as a single fraction

x 2 + 6 x − 16 −1 x 2 + 5 x − 14

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

2 x −3

• (a) Draw the lines y = 12,
• 6x + 2y = 12 and y – 6x = 0 on the grid above

(b) Write the letter R in the region defined by the three inequalities below

• y ≤ 12
• 6x + 2y ≥ 12
• y – 6x ≥ 0 
• 9 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

• 19 Solve the equation
• x2 – 12x + 30 = 0

20 f(x) =

• x−5 x

### Answer x = ………… or x = ……………

• (a) Work out f(3)

(b) Find fg(x) in its simplest form

• (c) Find f−1(x)

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

• 21 A NOT TO SCALE

# D 42° 62° O B

### C and D'lie on the circle,

• centre O

The line PCQ is a tangent to the circle at C

Angle AOD = 62°,

angle BAC = 42° and angle DCQ = 78°

Find (a) angle ODA

# Answer(b) Angle ACD = …………………

• (b) angle ACD
• (c) Angle PCB = 42°,
• 11 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

Cambridge IGCSE Mathematics Extended Practice Book Example Practice Paper 2 (Extended) Mark Scheme Key:

### A – Accuracy marks awarded for a correct answer seen

M – Method marks awarded for clear attempt to apply correct method

• oe – Or Equivalent

“ ” – allow M marks for methods that include wrong answers from previous results

• (a)(i) (a)(ii) (b)

A1 A1 A1

• (a) (b)
• 64365994… (accept more figures) 52
• + x2 ) or 12 ( y1 + y2 ) (0

# M1 A1 A1

• 3 x − 1 − 5 x + 15 14 – 2x oe

600 × 1

25 ÷ 1

20 \$625

## Clear attempt at elimination or substitution method x = −7,

• y = −3

### M1 A1 A1

• 5 (rounding down) 81
• 500 ÷ 20 = 25 2 × 108 ÷ "25" (allow methods that involve finding a formula) 4 × 107 oe

### M1 M1 A1

1 (x 2 1

• 1 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content

300 × 1

• 07n 300 × 1

075 420

### ⎛2 ⎜ ⎝ −1 ⎛2 ⎜ ⎝ −1

• 4⎞ 1 ⎟ seen or 3⎠ 10 4⎞ 1
• ⎟ seen and 3⎠ 10

### M1 ⎛ 0

• 4 ⎞ accept ⎜ ⎟ ⎝ −0

# π × 0

• 6y = 5 − x
• x = 5 − 6y
• x = (5 − 6 y )2

Two arcs at 6 cm from A and B Arc at 11 cm from A or B Arc at 8 cm from intersection of 11 cm and 6 cm arc,

## M1 M1 A1

• 30 ÷ 10 3 m/s2
• 5 × 20 × 45 + 0
• 5 × 20 × 5 or
• 500 m Car A (it has the steeper downward gradient) 3

26 m3 13

⎛ 5 −20 ⎞ ⎜ ⎟ Any 2 correct ⎝1 0 ⎠ ⎛ 5 −20 ⎞ ⎜ ⎟ All 4 correct ⎝1 0 ⎠

## ⎛ x10 ⎞ 5 ⎛ x 2 ⎞ ⎜ ⎟ =⎜ ⎟ ⎝ 32 ⎠ ⎝ 2 ⎠

• x6 8 x6 16 x 4
• 1 × 50 × 20 (finding area under car B curve) 2

## Cambridge International Examinations does not take responsibility for this content

( x − 2)( x + 8) −1 ( x − 2)( x + 7)

x +8 x +7 − x+7 x+7 x +8− x −7 x+7 1 x+7

M1 M1 A1 14

## A1 A1 A1 A1

2 x −3

• 12 ± 144 − 120 2 8

### R labelled in triangle formed by lines

• (a) (b)
• 2 3 1 −5 x2

M1 A1 A1 A1 M1

• 1 − 5x 2 y −5 exchange letters,

rearrange to y = … x= y f −1 ( x) =

5 1− x

A1 M1 A1 3

#### Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content

• (a) (b) (c)
• 59° (isosceles triangle) 31° (angle at centre = 2 × angle at circumference) 120° (opposite angles in a cyclic quadrilateral)

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

# Cambridge IGCSE Mathematics Extended Practice Book Example Practice Paper 4

• 2 hours 30 minutes

PLEASE NOTE: this example practice paper contains exam-style questions only

## Working for a question should be written below the question

If the answer is not exact but a degree of accuracy has not been provided,

• give the answer as follows:
• - to three significant figures for all values,
• - to one decimal place for degrees

- for π,

use either your calculator value or 3

The number of marks is given in brackets [ ] next to each question or part question

The total of the marks for this paper is 130

PLEASE NOTE: this practice examination paper has been written in association with the below publication and is not an official exam paper:

Paperback 9781107672727

One way to measure the height of a flag pole from the ground is to stand in two different positions and measure the angle of inclination of the top of the pole,

as well as the difference between the two positions

This is shown below

Diagram 1

### NOT TO SCALE

20° 5m

In Diagram 1,

angle DAC = 20° and angle DBC = 30°

### The length AB = 5 m

• (a) Find (i) angle ABD,

Answer(a)(ii) ………………………………  (iii) the length BD,

• using the sine rule,

# Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

Another way to measure the height of the flag pole is to use two short poles of a known height and line them up so that their tops aim towards the flag

Diagram 2

# NOT TO SCALE

In Diagram 2,

BC = 2 m,

### BD = 4 m and DF = 120 m

(b) (i) By considering the similar triangles ABC and ADE,

• find the length of AB

Answer(b)(i) …………………………… m  (ii) By considering the similar triangles ABC and AFG,

find the height of the flagpole,

• 3 Written specifically for the publication ‘Cambridge IGCSE Mathematics Extended Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

−8 −7 −6 −5 − −4 −3 − −2 −11 − −1

• − −2 − −3 − −4 C
• − −5 − −6

#### Describe fullyy the single transformatio t on which maaps (a) D'(ii) triangle A onto C,

Answeer(a)(i) …… ……………… ……………… ……………… ……………… ……………… ……………

• (iii) triangle C onto D,

Answeer(a)(ii) …… ……………… ……………… ……………………………………… ……………… …

• (iiii) triangle D'onto E,

Answeer(a)(iii) …… ………………………… …………… ……………… ……………… ……………… …

Writtten specifically fo or the publicationn ‘Cambridge IGC CSE Mathematicss Core Practice B Book’

Cambridge Innternational Exam minations does noot take responsibiility for this conte ent or the associaated answers

• (iv) triangle Bon to A

(b) Find the matrix representing the transformation which maps (i) triangle A onto C,

### ⎞ ⎟ ⎟ ⎟ ⎠

• (ii) triangle B onto A
• 5 Written specifically for the publication ‘Cambridge IGCSE Mathematics Extended Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

# Diagram 1 26 cm

NOT TO SCALE B

The diagram shows a rectangle with a width of x cm and a height of y cm

(a) (i) If the perimeter of the rectangle is 68 cm,

• show that y = 34 – x

•  (ii) The diagonal of the rectangle is 26 cm
• using Pythagoras’ theorem,

that x satisfies the equation x2 – 34x + 240 = 0

•  (iii) Factorise x2 – 34x + 240

Answer(a)(iii) ………………………………  (iv) Solve the equation x2 – 34x + 240 = 0

## Answer(a)(iv) x = ……… or x = ………

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

# The line EF cuts ABCD into two rectangles

(b) (i) Rectangle ABCD is similar to rectangle DEFC

#### Show that x2 + x – 1 = 0

•  (ii) Solve the equation x2 + x – 1 = 0,

### Answer(b)(ii) x = ……… or x = ………

• 7 Written specifically for the publication ‘Cambridge IGCSE Mathematics Extended Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

(a) The table shows some values for the equation y =

x4 + x3

(i) Write the missing values of y in the empty spaces

• (ii) On the grid,
• draw the graph of y =
• x4 + x3 for −5
• 5 ≤ x ≤ 2

5 x −6

• −20 

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

(b) Use your graph to solve the equation

• x4 + x3 = 5
• 5 Answer(b) x = ……… or x = ………
• (c) (i) By drawing a tangent,

work out the gradient of the graph where x = −1

……………………………

#### Answer(c)(i) (ii) Write down the gradient of the graph where x = 0

• (d) (i) On the grid,

draw the line y = −2x – 10

(ii) Use your graphs to solve the equation

• x4 + x3 + 2 x + 10 = 0

Answer(d)(ii) x = ……… or x = ………

• 9 Written specifically for the publication ‘Cambridge IGCSE Mathematics Extended Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

### A bead is taken at random from bag A,

then a bead is taken at random from bag B

(a) Complete the tree diagram below,

showing the probabilities of each outcome

Red Red

## Red Green Green

(b) Calculate the probability that (i) two red beads are picked,

……………………………

……………………………

(ii) exactly one red bead is picked

### Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

(c) All the beads are returned to the bags

### A bead is taken from bag A,

• its colour noted,
• and placed in bag B

### A bead is now taken from bag B

(i) Complete the tree diagram to show the new probabilities

## Red Red

### Red Green Green

#### Calculate the probability that (ii) two red beads are picked,

……………………………

……………………………

(iii) at least one green bead is picked

• 11 Written specifically for the publication ‘Cambridge IGCSE Mathematics Extended Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

Small mug

### A small cylindrical mug has a diameter of 8 cm,

• and a holds 500 cm3 of water

(a) Calculate the height of the small mug

• ………………………cm

(b) (i) Work out how many cm3 there are in 1 m3

……………………………

(ii) Work out how many small mugs would be filled by 1 m3 of water

……………………………

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

(c) The large mug holds 1000 cm3 of water

(i) Work out the scale factor for volumes between the small and large mug

……………………………

(ii) Work out the scale factor for lengths between the small and large mug

……………………………

• ………………………cm

(iii) Work out the height of the large mug

(d) Calculate the volume of the largest sphere which would fit inside the large mug

• ……………………cm3
• 13 Written specifically for the publication ‘Cambridge IGCSE Mathematics Extended Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

## The heights of 120 trees in an orchard are measured

The results are used to draw this cumulative frequency diagram

Cumulative frequency

• 120 110 100 90 80 70 60 50 40 30 20 10 0 140

Height (cm)

(a) Find (i) the median height,

• ………………………cm

• ………………………cm

• ………………………cm

……………………………

• (ii) the lower quartile,

(iii) the interquartile range,

(iv) the number of trees with a height greater than 316 cm

## Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

(b) The frequency table shows the information about the 120 trees that were measured

### Height (h cm)

• 140 ≤ h ≤ 200

#### Frequency

• 200 ≤ h ≤ 220
• 220 ≤ h ≤ 260
• 260 ≤ h ≤ 300
• 300 ≤ h ≤ 380

(i) Use the cumulative frequency diagram to complete the table above

(ii) Construct a histogram to represent this information

Frequency density

### Height (cm)

(c) Calculate an estimate of the mean height of the 120 trees

……………………………

## Written specifically for the publication ‘Cambridge IGCSE Mathematics Extended Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

• (a) Solve the equation
• x−5 x+2 + = −4 6 9

• (b) (i)
• 5 4 − x−3 x+4

## Answer(b)(i) y = …………………………… 

• (ii) Write
• 5 4 as a single fraction
• − x−3 x+4

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

• (iii) Solve the equation
• 5 4 1 − = x−3 x+4 x

Answer(b)(iii) x = ……………………………  (c)

## Find c'in terms of a,

• b and d

Answer(c) c'= …………………………… 114 17 Written specifically for the publication ‘Cambridge IGCSE Mathematics Extended Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

### The diagram shows the triangle PQS

T is the midpoint of PS and R divides QS in the ratio 1 : 3

## JJJG JJJG PT = a and PQ = b

(a) Express in terms of a and/or b,

• as simply as possible,
• the vectors (i)

# JJJG (ii) QS JJJG Answer(a)(ii) QS = …………………………  JJJG (iii) PR

JJJG Answer(a)(iii) PR = …………………………  JJJG 1 (b) Show that RT = (2a − 3b ) 4 Answer(b)

### Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

Diagram 1

Diagram 4

# Diagram 5

### The diagram shows a pattern of triangles of dots

• (a) Complete the table below

# Number of dots

•  (b) Work out the number of triangles and the number of dots in the 8th diagram

### Answer (b) Number of triangles = ……………… ,

Number of dots = …………………  (c) Write down an expression for the number of triangles in the nth diagram

(d) The number of dots in the nth diagram is k (n 2 + 3n + 2)

### Answer(d)(i) k = ……………………………  (ii) the number of dots in diagram 100

• 19 Written specifically for the publication ‘Cambridge IGCSE Mathematics Extended Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

Cambridge IGCSE Mathematics Extended Practice Book Example Practice Paper 4 (Extended) Mark Scheme Key:

### A – Accuracy marks awarded for a correct answer seen

#### M – Method marks awarded for clear attempt to apply correct method

• oe – Or Equivalent

“ ” – allow M marks for methods that include wrong answers from previous results

• (a)(i) (a)(ii) (a)(iii)
• (a)(iv)
• (b)(ii) 2
• (a)(i) (a)(ii)
• 150° 10° BD 5 = sin 20° sin10° 9
• 85 m CD sin 30° = BD CD = sin 30° × “9
• 848…” 4
• 92 m 3 4 + AB = 2 AB 3 AB = 8 + 2 AB AB = 8 m 132 FG = 8 2 FG = 33 m Reflection,
• in x-axis 1 Enlargement,
• factor ,
• centre (6,
• (a)(iii)

Rotation,

• (a)(iv)

Stretch in y-direction,

• scale factor 3,

• (b)(ii)

#### ⎛1 0⎞ ⎜ ⎟ ⎝

• ⎠ ⎛

⎞ ⎜ ⎟ ⎝ 0 −1 ⎠ ⎛1 ⎜ ⎝

• ⎜ ⎝0

0⎞ ⎟

• ⎞ ⎟ 3⎠

# A1 A1 M1 M1 A1 M1 M1 A1 M1 M1 A1 M1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1

• 1 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

#### Cambridge International Examinations does not take responsibility for this content

• 2 x + 2 y = 68 x + y = 34
• (a)(ii)
• x 2 + y 2 = 262 2

x + (34 − x) = 26 (a)(iii) (a)(iv) (b)(i)

• (b)(ii)

#### M1 A1 M1 2

• 2 x 2 + 68 x + 34 2 − 262 = 0 proceeding to result ( x − 10)( x − 24) x = 10 or 24 AD DC = oe AB FC 1+ x 1 = oe 1 x x(1 + x) = 1 leading to result

#### M1 A1 A1 A1 M1 M1 A1

• −1 ± 5 2 x = 0

M1 A1 A1 A1 A1 A1

• 4 (accept 4

### Points accurate A1 A1

• (a)(ii)

Smooth curve A1 Domain correct A1

• (b) (c)(i) (c)(ii)
• 6 (allow ± 0
• 5 squares from their graph) Correct tangent drawn Correct triangle used to calculate gradient Gradient = approx
• 2 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content

#### A1 A1 M1 M1 A1 A1

• (d)(ii) 5
• (b)(ii)
• (c)(ii) (c)(iii)
• 2 (allow ± 0
• 5 squares) From top to bottom of tree diagram: P(G) = 3/5,

P(R) = 2/5,

### P(G) = 3/5 5 2 × 10 5 0

• 2 oe ⎛ 5 3⎞ ⎛ 5 2⎞ ⎜ × ⎟+⎜ × ⎟ ⎝ 10 5 ⎠ ⎝ 10 5 ⎠ 0
• 5 oe From top to bottom of tree diagram: P(G) = 3/6,

• 25 oe 1 − 0

25 oe 0

## A1 A1 A1 A1 A1 M1 A1 M1 A1 A1 A1 A1 M1 A1 M1 A1

• 3 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content

(a) (b)(i) (b)(ii) (c)(i) (c)(ii) (c)(iii) (d)

(a)(i) (a)(ii) (a)(iii) (a)(iv) (b)(i)

• 500 π × 42 9
• 95 cm 1003 = 1 000 000 oe 1 000 000 = 2000 500 1000 =2 500 3 2 1

26 “9

• 95” × “1

26” 12

• 5 cm r = 4 × “1

26” = 5

• 04… 4 V = π(5
• )3 3 536 cm3

#### M1 A1 M1 A1 A1 A1 M1 A1 M1 A1 M1 M1 A1

• 270 cm 236 cm 300 – 236 = 64 cm Reading correctly at 316 cm 120 – 100 = 20 trees 10,

A1 A1 A1 M1 A1 A1 A1

# Relative heights A1 A1

Correct FDs A1

• (b)(ii)
• x 0 140
• 10 × 170 + 10 × 210 + 30 × 240 + 40 × 280 + 30 × 340 = 32400 "32400" 120 270 cm
• 4 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

### M1 M1 A1

• (b)(ii)
• (b)(iii)

Finding LCM of 6 and 9 (18) 3( x − 5) + 2( x + 2) = −4 18 3 x − 15 + 2 x + 4 = −72 61 x=− oe 5 5 4 − −1 6 −5 23 oe

### M1 A1 M1 A1 M1

• x + 32 ( x − 3)( x + 4)
• (allow expanded denominator)

x + 32 1 = ( x − 3)( x + 4) x

x 2 + 32 x = x 2 + x − 12 leading to 31x = −12 12 x=− 31 a (c + d') = b

• c= (a)(i) (a)(ii)
• 5( x + 4) − 4( x − 3) ( x − 3)( x + 4)
• b −d a

M1 A1 M1 M1

• (a)(iii)
• 2a JJJG JJJG JJJG QS = QP + PS −b + 2a JJJG JJJG JJJG PR = PQ + QR leading to b + 14 (−b + 2a)

## A1 M1 A1 M1 A1

• 3 b + 12 a 4 JJJG JJJG JJJG JJJG RT = RQ + QP + PT

PR + RT = a,

• so RT = a − PR
• − 14 (−b

a − (¾b + ½a) = ½a − ¾b

• (a) (b) (c) (d)(i) (d)(ii)
• + 2a) − b + a

− 34 b + 12 a leading to result given

Triangles 16,

• 25 Dots 15,
• 21 Triangles 64,

## Dots 45 n2 k (12 + 3 × 1 + 2) = 3 k = 0

• 5(1002 + 3 × 100 + 2) = 5151

A1 A1 A1 A1 A1 M1 A1 A1 Total: 130 5

# Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

## Cambridge IGCSE Study Guide for Physics

### Cambridge Books for Cambridge Exams

igcsestudybank weebly uploads 5 2 0 3 52038731 Cambridge IGCSE Physics 1 How to use this guide How to use this guide The guide describes what you need to know about your IGSCE Physics examination It will help you to plan your revision programme for the written

## Cambridge International as & a Level Physics Revision Guide - Richard Woodside, Chris Mee (Hodder)

### Pdf Online Cambridge International Level Physics Revision PDF

pmt physicsandmathstutor download Physics A Cambridge International Examinations Cambridge International Advanced Level *6110056757* PHYSICS 9702 43 Paper 4 A2 Structured Questions October November 2015 2 hours Candidates answer on the Question Paper No Additional Materials are required READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number

## Cambridge International as and a Level Physics Coursebook With CD Rom

### Cambridge Assessment International Education Cambridge

edpioneer wp content uploads 2018 02 Paper 2 Cambridge International AS Level ENGLISH GENERAL PAPER 8021 02 Paper 2 Comprehension For examination from 2019 SPECIMEN PAPER 1 hour 45 minutes You must answer on the question paper You will need Insert (enclosed) INSTRUCTIONS Answer all questions

## Cambridge International as and a Level Physics Revision Guide Cambridge Education Cambridge Uni Samples

### Zone 3 Cambridge International AS & A Level - British Council

PDF Cambridge International AS and A Level factsheet cambridgeinternational 502996 as a level factsheet english pdf PDF Cambridge International AS & A Level A guide for parents cambridgeinternational 268772 cambridge international as a level

## Cambridge International Legal English PDF

### ENGLISH LEGAL GLOSSARY - justicegov

lyceum rs dokumenti advanced legal english pdf Cambridge University Press 978 0 521 27945 1 International Legal English A Course for Classroom or Self study Use, Second Edition Amy Krois Lindner and TransLegal assets cambridge 9780521718998 frontmatter pdf Introduction Introduction to International

## CAMBRIDGE KET 1-BOOK.pdf

### Cambridge English: Key for Schools is a version of Cambridge

clil files wordpress 2014 05 9780521528139ws pdf 1 To the student This book is for students preparing for University of Cambridge ESOL Examinations Key English Test (KET) It contains four complete tests based on the new test format from March 2004 What is KET? KET is

## Cambridge Objective PET

### KET Handbook for Teachers - iltea

Unit 1 Vocabulary spot Vocabulary tree from page 13 OBJECTIVE PET – THIS PAGE MAY BE PHOTOCOPIED © CAMBRIDGE UNIVERSITY PRESS 2010 Cambridge University Press 978 0 521 73266 6 Objective Pet Student's Book with Answers, Second Edition Louise Hashemi and Barbara

## Cambridge Objective Proficiency Student Book With Answer 2nd Edition

### Cambridge English Objective Proficiency

PDF Cambridge English Objective Proficiency Savvy Studiosmail01 savvystudios br cambridge english objective proficiency pdf PDF Cambridge English Objective Proficiency Workbook Savvy Studiosmail01 savvystudios br cambridge english objective proficiency workbook with answers pdf PDF Cambridge Objective Proficiency Student

## Cambridge Objective Proficiency

### Cambridge English: Proficiency (CPE)

cambridge es content download 2292 13930 3 OBJECTIVE PROFICIENCY SECOND EDITION – THIS PAGE MAY BE PHOTOCOPIED © CAMBRIDGE UNIVERSITY PRESS 2013 practice test PaPer 1 reading and Use of english (1 hour 30 assets cambridge 97811076 70563 frontmatter University Printing House, Cambridge CB BS,

<