IGCSE MATHEMATICS M/ J 20 P22 - ZNotes

IG MATHEMATICS M/ J 2020 | PAPER 22

IGCSE MATHEMATICS M/ J 20 P22DEVANDHIRA AND YUKAN

IG MATHEMATICS M/ J 2020 | PAPER 22MAY/ JUNE 2020 P42

1

Write down the order of rotational symmetry of the diagram.................................................. [1] 2


2 At noon the temperature in Maseru was 21 °C.At midnight the temperature had fallen by 26 °C.

Work out the temperature at midnight.

.................................................°C [1] 21-26=-3 -s


3

AB = BC and ABD is a straight line.

Find the value of x.x = ................................................. [2]

%

SO 25-2=25


Write down4

(a) -A square number greater than 10,

(b) An irrational number.

................................................. [1]

................................................. [1]

5 y = mx + c

Find the value of y when m =-3, x =-2 and c =-8.

y = ................................................. [2]

¥4=-31-27 - 8

f- 6 - 8 - 2

4=-2


6

Calculate the area of the trapezium.................................................. cm2 [2] KALI ⇒ SAID45


7

On the Venn diagram, shade the region A ⋂ B. [1]

BB


Write 2-4 as a decimal8

................................................. [1]

9

The bearing of B from A is 105°.

Find the bearing of A from B.................................................. [2]

2-4=6 0.0625

)W3°7105f- .

... ..

?

105+120=283285


Simplify.10

................................................. [2]

11 Without using a calculator, work out

You must show all your working and give your answer as a fraction in its simplest form

................................................. [3]

𝑝2𝑞 ×

4𝑝𝑞𝑡

134 −

1112

¥*x¥I=¥ ¥

I #= ¥¥ -Fi. =3 I


Roberto buys a toy for $5.00 .He then sells it for $4.60 .

Calculate his percentage loss.

12

................................................. % [2] 13 Simplify 8t8 ÷ 4t4 .

................................................. [2]

5-3%100=8408

ftp.I-ftttzt" z t'


Solve the equation.14

x = ................................................. [2] 15 Ella’s height is 175 cm, correct to the nearest 5 cm.

Write down the upper bound of Ella’s height.

.................................................cm [1]

1 − 𝑥3 = 5

I-KHS

- a = 14a= - Iq -14

175 t EE 177.5g177.5


Calculate (3 × 10-3)3.

Give your answer in standard form.

16

................................................. [1]

17 A train of length 105 m takes 11 seconds to pass completely through a station of length 225 m.

Calculate the speed of the train in km/h.

.................................................km/h [3]

(3×1843--27×159=2.7×10-8 2.7×10-8

0.105+0.225Wsm -- 0.105hm -11=108225ME 0.225km Too

" see --o¥h 108


18

Describe fully the single transformation that maps triangle T onto triangle U.

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

........................................................................................................................................................................ [3]

#Enlargement , scale factor -I , Centre (3,4)


Make y the subject of the formula.19

y = ................................................. [3]

ℎ = 𝑥 + 2𝑦

4-k h'-W

±JhTya, ht z

2

+=f


20

................................................. [1]

A, B, C and D lie on the circle, centre O.TA is a tangent to the circle at A.Angle ABC = 131° and angle ADB = 20°.

Find

(a) angle ADC,

................................................. [1]

(a) angle AOC,

................................................. [1]

(a) angle BAT,

................................................. [1]

(a) angle OAB,

490980

200

too


Simplify.21

(a) (5x4)3,

(b) (256x256)

................................................. [2]

................................................. [2]

22 p is directly proportional to (q + 2)2.

When q = 1, p = 1.

Find p when q = 10.

p = ................................................. [3]

38

5324×3=12562 125A"

1254%2254%1=826 8k"

p --Heth' P=I(qt42

f- host RICKYK 'T p=lf 16


23

................................................. [1]

x21 3 4 5 6 7 8

y

0

1

2

3

4

5

6

7

8 (a) By drawing suitable lines and shading unwantedregions, find the region, R, where

x ≥ 2, y ≥ x and 2x + y ≤ 8 [5]

(b) Find the largest value of x + y in the region R.

2=2 Yak

. ....

"

¥:*.

°

7=-2at8


The diagram shows a sector of a circle of radius 8 cm.The length of the arc PQ is 6.4 cm.

Find the area of the sector.

24

................................................. cm2 [4]

o)

Food 29181=6.445.80

0=45.80

6×9185225.6 25.6


Simplify.25

................................................. [5]

2𝑥 + 𝑥 − 15𝑎𝑥 + 3𝑎 − 2𝑏𝑥 − 6𝑏

(2x-sleety- a- { a=-3¥fa - 2b)

a-52=0aat3a- Zboe-Gb2n -5

za -so at3=0= afkts) - 2b(sets) =#

Gaskets) -- O= Gets)Ca - 2b )

F G

=Zoe'tu - IS 2/-151=-30

=2oit6a-sa - 15 G -5 2a7=2n(sets) -stat 3)=Gets)(2n-51g


26

n = ................................................. [2]

𝑦 = 𝑥 and 𝑦 = 𝑥

Find the value of n.

( insist?

↳xIf- n

,

TfF- a 4I . n -- y


27 The diagram shows a cuboid.AB = 8cm, AD = 6 cm and DH = 6 cm.Calculate angle HAF.

Angle HAF = ................................................. [6]

10akbrtc-2beco.tt

for # LEE)¥UarHlo7asACO 216 Go)asA= GET

asA=HR )'

T ¥101A-264.20

HA=VotT=fE 64.90AE=Jo'toT_ to HF=f8¥=lO

IGCSE MATHEMATICS M/ J 20 P22 - ZNotes

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