UEB Maths and Science Practice Exercises

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UEB Maths and Science Practice exercises

Exercise 1

Answers

Exercise 2

Answers

Exercise 3

Answers

Exercise 4

Answers

Exercise 5

Answers

Exercise 6

Answers

Exercise 7

Answers

Exercise 8

Answers

Exercise 9

Answers

Exercise 10

Answers

Exercise 11 (Extended practice)

Answers

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Exercise 1

(a)

(b) There were 20000 people in the football ground.

(d) 14 - + 3 = 8

(e)

Answers

,ex]cise #a

"<a"> #c4b"8#j4d "7 #a4bh

"<;b"> ,"! 7 #bj"jjj p 9 !

football gr.d4

"<;c"> #ah"6$#d "7 #bc

"<;d"> #ad"-+"6#c "7 #h

"<;e"> #d"/#g

"7 #j4<#egadbh>^4

Exercise 2

(a) Work out of 48

(b) Work out

(d) Work out
(e)

Answers

,ex]cise #b

"<a"> ,"w \ #a/d ( #dh

"<;b"> ,"w \ #a/b"/#a/c

"<;c"> ,"w \ #e#b/c"-#b#c/d

"<;d"> ,"w \

#a"-"<#a/b"6#a/f">

"<;e"> "-#c @< #b

Exercise 3

e. Area

Answers

,ex]cise #c

a4 ;;(x./y)

;b4 ;;(a"6b./p"-q)

;c4 ;;;(#e./p)"6(#c./#bp)

"7 (#ac./#bp);'

;d4 ;;;(#b./x"6#a)

"-(#a./x"6#b) "7 #a/b;'

;e4 ,>ea "7 #a/b"<a"6b">h

Exercise 4

a. 1/2 + 3/4 = 5/4

b. 36%

d. √

Answers

,ex]cise #d

a4 #a_/#b"6#c_/#d "7 #e_/#d

;b4 #cf.0

;c4 ;%#bbe+ "7 #ae

;d4 "%#i "7 #c

;e4 #e9#b "7 #be

;f4 #ab3#cf "7 #a3#c

Exercise 5

Answers

,ex]cise #e

#a4 #af9#a/d "7 #b

#b4 ;;;p9#bq "7@: p9<#bq>;'

#c4 h;5#a9#b "7 #i

#d4 ;;;%9#c#abe+ "7 #e;'

#e4 ;;;#fd9#a/f "7 %9#f#fd+

"7 #b;'

Exercise 6

5. Area of a circle =

Answers

,ex]cise #f

#a4 ;;;9"-#b"89"-#d

"7 9"6#h;'

#b4 ;;;#c9<"-#b>

"7 (#a./#c9#b);'

#c4 ;;;g ^9 #i4h ms9<"-#b>;'

#d4 #b4e;cm _9 #a77

#e4 ,>ea ( a circle

"7 .pr;9#b

#f4 #ae^j,f ^9 "-#i^j,c

Exercise 7

Answers

,ex]cise #g

#a4 tan#dj

#b4 sec ;x

#c4 cos,q

#d4 #btan ;x

#e4 #btan#ej

#f4 ;w cos ;t

#g4 .w "7 .?^4

#h4 ;;;<,,lk>^: "7 t,:;'

#i4 ;;;#a"6#b"6#c"6#d

"7 ,.s.5<r"7#a>.9#dr;'

Exercise 8

4. a =

Answers

,ex]cise #h

#a4 ;;;<,,pq>^:

"7 ,"<#d,">

,"<#e,">

,"<#f,">;'

#b4 ;;;.a "7 (d.w./dt)

"7 .?.9<44>;'

#c4 ;;;!5#a9#cx9#b;dx

"7 .<(x9#c./#c).>5#a9#c

"7 #bg/c"-#a/c "7 #bf/c;'

#d4 ^2a "7 ,"<"-#b,">

,"< #c,">

#e4 ,"< #aa "-#d ,">

,"<"-#e #aj,">

#f4 ,"<#a #b,">,"<#e #f,">

,"<#c #d,">,"<#g #h,">

"7 ,"<#e"6#ad #f"6#af ,">

,"<#ae"6#bh #ah"6#cb,">

"7 ,"<#ai #bb,">

,"<#dc #ej,">

Exercise 9

a. If and then

b. If then

Answers

,ex]cise #i

a4 ,if ;,p "7 _<#d1 #h1

#ab_> & ;,b "7 _<ev5 numb]s_>

!n ,a ^< ;,b

;b4 ,if ;,d "7 _<=d1 saab1

nissan1 r5ault_> !n =d ^e ;,d

;c4 ;;;,p7.6,q7

"7 "<,p.8,q">7;'

;d4 ;;;,s5<xy

"7 ,.s"<x5i"-x:">"

"<y5i"-y:">;'

;e4 ;;,.s.5<i"7#a>.9#ex5i

;f4 ;9#f,c5#b "7 "<#f]#b">

Exercise 10

1. uncertainty in P =

3. Glucose has the molecular formula

Answers

ex]cise #aj

#a4 unc]ta9ty 9 ;;;,p

"7 (,p5<maximum>

"-,p5<minimum>./n);'

#b4 ;;;,g

"7 #f4fg"8#aj9<"-#aa

,nm9#bkg9<"-#b>;'

#c4 ,glucose has ! molecul

=mula ,c;5#f,h5#ab,o5#f

#d4 ;;;,n5#b,o5#d"<g">

"6#b,na,o,h"<aq">

\o ,na,n,o5#c"<aq">

"6,na,n,o5#b"<aq">

"6,h5#b,o"<l">;'

Exercise 11 (Extended practice)

(a)

(b) The world's population on 30/01/2014 at 13 14 was 7209860703

(d)

(e) Work out

(f) Write as a single fraction in its simplest form.

(g) Simplify

(h) Change $5.20 into pounds if £1 = $1.62.

(i) Find of €450.50.

(j) Work out

(k) Is ?

(l) Solve

(m) Solve

(n) Volume of a sphere =

(o) Solve

(p)

(q)

(r)

(s)

(t)

(u)Time for a drink!

Coffee and water plus milk.

Answers

,ex]cise #aa "<,ext5d$

practice">

"<a"> #h4f"/#j4b "7 #dc

"<;b"> ,! _w'spopula;n on

#cj_/#ja_/#bjad at #ac"ad 0

#g"bji"hfj"gjc

"<;c"> #g"6$#d:"6#c "7 #ae

"<;d"> #d"/#c "7 #a4<#c>^4

"<;e"> ,"w \ #d#b/e"-#c/e

"<;f"> ,write

;(#bx"6#d./x"-#a)"8(#a./x"6#b)

z a s+le frac;n 9 xs simple/

=m4

"<;g"> ,simplify

;(#dy9#e"6#by9#c./y9#b)

"<;h"> ,*ange @s#e4bj 9to

p.ds if @l#a "7 @s#a4fb4

"<i"> ,f9d #d#a/b.0 (

@e#dej4ej4

"<;j"> ,"w \

"<#c4e"8#aj9<"-#f>">

"/"<#e"8#aj9#d">

"<;k"> ,is #d"8#e

@> #aj"8#b8

"<;l"> ,solve

"<x"-#b">"<#bx"6#e">

"7 #d"<x"6#c">

"<;m"> ,solve

,"<"-#b,">"6,"<"-#cg ,">

,"< #c,"> ,"< y"6#b,">

"7 ,"<x ,">

,"<#i,">

"<;n"> ,volume ( a sp"h

"7 #d/c.pr9#c

"<o"> ,solve

;;;sin.?sin"<(.p./#c)">

"6cos.?sin"<(.p./#c)">

"7 #j4e;'

"<;p"> ;;;%9#d#af+ "7 #b;'

"<;q"> ;;;#bg9#a/c

"7 %9#c#bg+ "7 #c;'

"<;r"> x;9#b"6y9#b "7 #be

"<;s"> ;;;#b,p"<g">

"6#b,q"<g">

\o ,r"<g">"6,s"<g">;'

"<;t"> ;;;x:

"7 (#a./n),.s.5#a.9nx;'

"<;u"> ,"t = a dr9k6

,c(fee ,c;5#h,h5#aj,n5#d,o5#b

& wat] ,h;5#b,o plus milk6

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UEB Maths and Science Practice Exercises