Level 7 Questions

7/23/2019 Level 7 Questions

1/20

KS3 MATHEMATICS

10 4 10

Level 7 Questions

Day 1

Mental Arithmetic Questions

1. What number is five cubed?

2. A circle has radius r.

What is the formula for the area of the

circle?

3. Jenny and Mark share some money in the

ratio two to three. Jennys share is one

hundred and ten ounds.!ow much is Marks share?

". #he net of a trian$ular rism is made from

trian$les and rectan$les.

!ow many of each shae are needed?

%. Multily minus si& by minus two.


2/20

Percentage change

(a) One calculation below gives the answer to the question

What is 70 increased by 9%?

Tick () the correct one.

7 0 0 . 9 7 0 1 . 9 7 0 0 . 0 9 7 0 1 . 0 9

1 mark

Choose one o the other calculations.

!rite a question about percentages that this calculation re"resents.

calculation chosen# .......................

question it re"resents#

1 mark

$ow %o the same or one o the remaining two calculations.

calculation chosen# .......................

question it re"resents#

1 mark

(b) &ill in the missing %ecimal number.

To %ecrease b' 1* multi"l' b'

1 mark

Coffee

+ cu" o coee costs ,1.7-

The %iagram shows how much mone' %ierent "eo"le get when 'oubu' a cu" o coee.

e t a i l e r s g e t "

/ r o w e r s g e t - "

O t h e r s g e t , 1 .

C u " o c o e ec o s t s 1 . 7 5

$ o t % r a w na c c u r a t e l '

(a) Com"lete the table to show what percentageo the cost o a cu" ocoee goes to retailers* growers an% others.

2how 'our working.

etailers

/rowers

Others

marks


3/20

KS3 MATHEMATICS

10 4 10

Level 7 Questions

Day 2

Mental Arithmetic 'uestions

1. What is one third of three()uarters of one hundred?

*****.

2. +m thinkin$ of a number. + call it n.

+ s)uare my number and then add ".

Write an e&ression to show the result.

******.

3. #wenty( one out of thirty(si& uils said they watched

#o of the ,os.

What an$le on a ie chart would show this?

******

". #here are seven red and three blue balls in a ba$.

+ am $oin$ to take a ball out of the ba$ at random.

What is the robability that the ball will be blue?

******..

%. Write a multile of three that is bi$$er than onehundred.

*****..


4/20

Powers

(a) !rite the values o kan% m.

3 4 3 k 3 m

k3 ............555555..

m3 ............555555.

marks

(b) Com"lete the ollowing#

1- 3 6 74

13 ...............55555.

1 mark

!uares

2ome numbers are s"a##erthan their squares.

&or eam"le# 7 8 7

!hich numbers are e!ua# totheir squares

2 marks


5/20

KS3 MATHEMATICS

10 4 10

Level 7 Questions

Day 3


1. + am thinkin$ of a number. + call it n.

+ double my number then + subtract three.

Write an e&ression to show the result.

2. What ercenta$e of fifty ounds is thirty(five

ounds?

3. -n avera$e the driest lace on earth $ets only

nou$ht oint five millimetres of rain every year.

+n total how much rain would it e&ect to $et intwenty years?

". #o the nearest whole number what is the s)uare

root of ei$hty(three oint nine?

%. +t takes me one and a half minutes to swim onelen$th of the ool.

!ow many len$ths can + swim in fifteen minutes


6/20

(c) On these nets* the "oint marke% : lies on the "er"en%icularbisector o a si%e o the "entagon.

::

On si%e C; o the regular "entagon below* usecom"asses an% a straight e%ge to constructtheperpendicu#ar bisector.


7/20

KS3 MATHEMATICS

10 4 10

Level 7 Questions

Day 4


1. #ari) won one hundred ounds in a maths

cometition. !e $ave two(fifths of his ri/e money

to charity. !ow much of his ri/e money in ounds

did he have left?

2. What is three oint nine divided by two?

3. #he instructions for a fruit drink say to mi& one

art blackcurrant 0uice with four arts water. +

want to make one litre of this fruit drink. !ow

much blackcurrant 0uice should + use? ive youranswer in millilitres.

". What is half of two(thirds?

%. #he oulation of the nited in$dom is about

fifty(nine million. Write this number in fi$ures.


8/20

$unning "achine

@ali uses a running machine to kee" it.

The sim"liie% %istance=time gra"h shows how she use% themachine %uring one run.

6

1

; i s t a n c e( k m )

0 9 6 0 0 9 0 0 9 - 0 1 0 0 0

T i m e

Ase the gra"h to answer these questions.

(a) Between 0960 an% 090* what was her s"ee% ini#o"etres perhour

555..5 kmh 1 mark

(b)Throughout the run, for how many minutesdid she travel at thisspeed

55555555 minutes 1 mark

(c) +t 090* she increase% her s"ee%.

!y how many kilometres per hour did she increase her speed

"""""""" km#h $ mark

(%) On another %a'* @ali starte% running at 09&5

%he ran for 24 minutesat a constant speed of 10 kilometres per hour&

2how this inormation on the gra"h on the o""osite "age.

%how any working in the space below&

2 marks


9/20

KS3 MATHEMATICS

10 4 10

Level 7 Questions

Day 5


1. 'hat is threefifths of forty pounds

2. The longest bone in the human body is in the leg& The average

length of this bone in a man is fifty centimetres& n a woman itis ten per cent less&

'hat is the average length of this bone in a woman

3. *sing three as an appro+imation for pi, what is the area of a

circle with radius five centimetres

4. am thinking of a twodigit number that is a multiple of eight&

The digits add up to si+&

'hat number am thinking of

5. am thinking of a number& call it n& add five to my number&

'rite an e+pression to show the result&


10/20

$earrange

The subDect o the equation below isp

p ( e - f )

earrange the equation to make ethe subDect.

e3

marks

'ociThe %iagram below shows two "oints + an% B that are cm a"art.

+roun% each "oint are si circles o ra%ius 1 cm* cm* 6 cm* cm* - cm an% cm. Each circle has either + or B as its centre.

c m

c m

- c m

- c m

c m

c m

6 c m

6 c m

c m

c m

1 c m

1 c m

(

)

(a) On the %iagram* mark with a cross an' "oints that are cm awa' rom+ and cm awa' rom B.

1 mark

(b) $ow %raw the locus o a##"oints that are the sa"e distancerom + asthe' are rom B.

1 mark


11/20

KS3 MATHEMATICS

10 4 10

Level 7 Questions

Day 6


$& .ive percent of a number is /& 'hat is the number

2& A fair spinner has eight e0ual sections with a number on

each section& .ive of them are even numbers& Three are odd

numbers&'hat is the probability that spin an even number

1& can make a threedigit number from the digits two, threeand four in si+ different ways&

ow many of these threedigit numbers are even

3& 'hat is the volume of a cuboid measuring five centimetres

by si+ centimetres by seven centimetres

4& 'hat is the remainder when you divide three hundred by

twentynine


12/20

*actors again

(a) ing the e"ression below that is the same asyF 4y F1

(y F 6) (y F ) (y F 7) (y F 1)

(y F ) (y F )

(y F 1) (y F 1) (y F 6) (y F -)

1 mark

(b) Gulti"l' out the e"ression (y F 9) (y F )

!rite 'our answer as sim"l' as "ossible.

marks

+,ens or -dds

(a) mis an oddnumber.

!hich o the numbers below must be even* an% which must be o%%

!rite Ho%%I or HevenI un%er each one.

m m 6 J 1m ( J 1 ) ( F 1 )m m

marks

(b) m is an odd number.

Ks the number

1+mo%%* or even* or is it not "ossible to

tell

Tick () the correct bo.

o % % e v e n n o t " o s s i b l e t o t e l l

E"lain 'our answer.

1 mark


13/20

KS3 MATHEMATICS

10 4 10

Level 7 Questions

Day 7


$& Twentyfive per cent of a number is seven&

'hat is the number

2& There are fourteen girls and thirteen boys in a class&

'hat is the probability that a pupil chosen at random will

be a girl

1& The first even number is two&

'hat is the hundredth even number

3& The mean of two numbers is /& 5ne of the numbers is two&

'hat is the other number

4& ow many edges are there on a s0uare based pyramid


14/20

/e#e,ision

+ hea%teacher wants to choose a "u"il rom 'ear 7* 4 or 9 toa""ear on television.

The hea%teacher gives each "u"il oneticket.

Then she will select the winning ticket at ran%om.

The table shows inormation about the ticket use%.

< e a r 7

< e a r 4

< e a r 9

r e %

b l u e

' e l l o w

1 t o 4 0

1 t o 7 -

1 t o 9 0

C o l o u r o t h e t i c k e t

$ u m b e r su s e %

(a) !hat is the "robabilit' that the winning ticket will be b#ue

1 mark

(b) !hat is the "robabilit' that the winning ticket will show number &9

1 mark

(c) The hea%teacher selects the winning ticket at ran%om.2he sa's#

HThe winning ticket number is 69I.

!hat is the "robabilit' that this winning ticket is blue

1 mark

(ng#esThis "attern has rotation s'mmetr' o or%er

(a) !hat is the si?e o anglew

2how 'our working.

$ o t % r a w n

a c c u r a t e l '

w

y

>

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

marks

(b) Each qua%rilateral in the "attern is ma%e romtwo congruent isosce#es triangles.

!hat is the si?e o angley 2how 'our working


y

1 6 >

""""" 2 marks


15/20

KS3 MATHEMATICS

10 4 10

Level 7 Questions

Day 8


$& Multiply /&6 by 2

2& A bat flies at an average speed of 12 kilometres an hour& At

this speed, how far will it fly in $4 minutes

1& Multiply the brackets (2+ -$) (+ 7 $)

3& 8m thinking of a number& call it t& half it and subtract

five& 'rite an e+pression to show the result&

4& The first odd number is $& 'hat is the hundredth odd

number


16/20

$ectang#e rest

The %iagram shows a rectang#e that Dust touches an e!ui#atera# triang#e.

0 L

x

s t r a i g h t l i n e


(a) &in% the si?e o the angle marke%x2how 'our working.

......................>

marks

(b) $ow the rectangle Dust touches theequilateral triangle so that()C is a straight #ine.


; E C

B

+

2how that triangle B;E is isosceles.

marks

-w#sOwls eat small mammals.The' regurgitate the bones an% ur in balls calle% "ellets.

The table shows the contents o "ellets rom long=eare% owls.

$umber o mammalsoun% in the "ellet

1 6 -

&requenc' 9 17 - 1

(a) 2how that the tota#number o mammals oun% is 170

1 mark

(b) Calculate the "eannumber o mammals oun% in each "ellet.2how 'our working an% give 'our answer correct to 1 %ecimal "lace.

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

marks

(c) There are about 10 000 long=eare%owls in Britain.On average* a long=eare% owl regurgitates 1. pe##ets"er %a'.

+ltogether* how man' "a""a#s%o the 10 000 long=eare% owls eat in

one day2how 'our working an% give 'our answer to the nearest thousan%.

............................. marks


17/20

KS3 MATHEMATICS

10 4 10

Level 7 Questions

Day 9


1. Add four to minus five.

2. What number should you add to minus three to $et

the answer five?

3. !ow many nou$ht oint fives are there in ten?

". -n avera$e the driest lace on earth $ets only

nou$ht oint five millimetres of rain every year. +n

total how much rain would it e&ect to $et in

twenty years?

%. What is the sum of the an$les in a rhombus?


18/20

2iraffe

+ book gives this inormation#

+ bab' girae was born that was 1.-4 metres high.

Kt grew at a rate o 1.6 centimetres e,ery hour.

2u""ose the bab' girae continue% to grow at this rate.

+bout how man' %a's ol% woul% it be when it was "etreshigh2how 'our working.

..... ................. ....... %a's ol%

6 marks

/rue or fa#se(a) :u"ils starte% to solve the equation x 3 4 x 3 11in %ierent wa's.

&or each statement below* tick ( ) True or &alse.

F 4 3 F 1 1x x

1 3 1 -x x

F 4 3 F 1 1x x

3 6x x +

F 4 3 F 1 1x x

3 6x

4 1 1x x- , -

F 3 1 1 F 4x x

F 4 3 F 1 1x x

F 4 3 1 1x

F 4 3 F 1 1x x

J 6 3 J x

s o

s o

s o

s o

s o

s o

T r u e

T r u e

T r u e

T r u e

T r u e

T r u e

& a l s e

& a l s e

& a l s e

& a l s e

& a l s e

& a l s e

6 marks

(b) + %ierent "u"il use% trial an% im"rovement to solve

the equation x

F 4 3 x

F 11

E"lain wh' trial an% im"rovement is not a goo% metho% to use.

1 mark


19/20

KS3 MATHEMATICS

10 4 10

Level 7 Questions

Day 10


1. +t takes some(one one and a half minutes to swim

the len$th of the ool. !ow many len$ths can +

swim in 1% minutes?

2. Multily minus ei$ht by minus three.

3. +f "& 4 3 5 23 what is the value of &?

". + have a fair ei$ht sided dice numbered 12 to 16.

What is the robability that + will throw a rime

number?

%. What must + multily n s)uared by to $et n

cubed?


20/20

(%) +n animal has a bo%' length o 4 ""* an% oot length o "".

Ks this animal likel' to be one o these s"ecies o ro%ents

Tick ()

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Level 7 Questions