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UKAAF Logo UK Association for Accessible Formats
UEB Maths and Science Practice Exercises
Copyright © 2016 UK Association for Accessible Formats
(UKAAF).
Not for re-sale. You may reproduce in whole or in part with
acknowledgement to UKAAF.
B012
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UEB Maths and Science Practice exercises
Contents
Exercise 1 .................................................................................. 3
Answers .................................................................................... 3
Exercise 2 .................................................................................. 4
Answers .................................................................................... 4
Exercise 3 .................................................................................. 5
Answers .................................................................................... 5
Exercise 4 .................................................................................. 6
Answers .................................................................................... 6
Exercise 5 .................................................................................. 7
Answers .................................................................................... 7
Exercise 6 .................................................................................. 8
Answers .................................................................................... 8
Exercise 7 .................................................................................. 9
Answers .................................................................................... 9
Exercise 8 ................................................................................ 10
Answers .................................................................................. 10
Exercise 9 ................................................................................ 12
Answers .................................................................................. 12
Exercise 10 .............................................................................. 14
Answers .................................................................................. 14
Exercise 11 (Extended practice) .............................................. 16
Answers .................................................................................. 17
Disclaimer ................................................................................... 21
UKAAF contact details ............................................................. 21
UKAAF registered address ...................................................... 21
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Exercise 1
(a) 3.2 0.4 1.28
(b) There were 20 000 people in the football ground.
(c) 18+=23
(d) 14 - + 3 = 8
(e) 4 7 0.571428
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
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Exercise 2
(a) Work out 1
4 of 48
(b) Work out 1 1
2 3
(c) Work out 2 3
5 23 4
(d) Work out 1 1
12 6
(e) 3 2
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
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Exercise 3
a. x
y
b. a b
p q
c. 5 3 13
p 2p 2p
d. 2 1 1
x 1 x 2 2
e. Area 1
(a b)h2
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
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Exercise 4
a. 1/2 + 3/4 = 5/4
b. 36%
c. 225 15
d. √9 3
e. 25 25
f. 12: 36 1: 3
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
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Exercise 5
1.
1
416 2
2. 2 2qp q p
3. 2
1h 9
4. 3 125 5
5. 1
6664 64 2
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;'
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Exercise 6
1. 2 4 8
2. 2
2
13
3
3. 2g 9.8 ms
4. 2.5cm 1
5. Area of a circle = 2r
6. 15 F 9 C
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
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Exercise 7
1. tan40
2. secx
3. cosQ
4. 2tanx
5. 2tan50
6. wcost
7.
8. LK t
9. 4
r 1
1 2 3 4 r
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;'
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Exercise 8
1.
4
PQ 5
6
2. d
dt
3.
333
2
11
x 27 1 26x dx
3 3 3 3
4. a = 2
3
5. 11 4
5 10
6. 1 2 5 6 5 14 6 16 19 22
3 4 7 8 15 28 18 32 43 50
Answers
,ex]cise #h
#a4 ;;;<,,pq>^:
"7 ,"<#d,">
,"<#e,">
,"<#f,">;'
#b4 ;;;.a "7 (d.w./dt)
"7 .?.9<44>;'
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#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,">
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Exercise 9
a. If P {4, 8, 12} and B {even numbers} then A B
b. If D {ford, saab, nissan, renault} then ford D
c. P Q (P Q)
d. xy i iS (x x)(y y)
e. 5
i
i 1
x
f. 6
2
6C
2
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;'
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;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">
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Exercise 10
1. uncertainty in P = maximum minimumP P
n
2. 11 2 2G 6.67 10 Nm kg
3. Glucose has the molecular formula 6 12 6C H O
4. 2 4 3 2 2N O (g) 2NaOH(aq) NaNO (aq) NaNO (aq) H O(l)
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">
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\o ,na,n,o5#c"<aq">
"6,na,n,o5#b"<aq">
"6,h5#b,o"<l">;'
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Exercise 11 (Extended practice)
(a) 8.6 0.2 43
(b) The world's population on 30/01/2014 at 13 14 was
7 209 860 703
(c) 7++3=15
(d) 4 3 1.3
(e) Work out 2 3
45 5
(f) Write 2x 4 1
x 1 x 2 as a single fraction in its simplest form.
(g) Simplify 5 3
2
4y 2y
y
(h) Change $5.20 into pounds if £1 = $1.62.
(i) Find 1
4 %2
of €450.50.
(j) Work out 6 4(3.5 10 ) (5 10 )
(k) Is 4 5 10 2?
(l) Solve (x 2)(2x 5) 4(x 3)
(m) Solve 2 37 x
3 y 2 9
(n) Volume of a sphere = 34r
3
(o) Solve sin sin cos sin 0.53 3
(p) 4 16 2
(q) 1
3327 27 3
(r) 2 2x y 25
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(s) 2P(g) 2Q(g) R(g) S(g)
(t) n
1
1x x
n
(u) Time for a drink!
Coffee 8 10 4 2C H N O and water
2H O plus milk.
Answers
,ex]cise #aa "<,ext5d$
practice">
"<a"> #h4f"/#j4b "7 #dc
"<;b"> ,! _w's popula;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
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"<;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
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"<;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;'
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"<;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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Disclaimer This guidance may include references to external websites,
services or products for which UKAAF accepts no responsibility.
This information is given without any representation or
endorsement of those websites, services or products.
UKAAF contact details
Tel: 0345 60 85223
Fax: 0345 60 85224
Email: [email protected]
Web: www.ukaaf.org
UKAAF registered address
UKAAF
c/o Pia
Unit 42
John Baker Close,
Llantarnam Park Industrial Estate,
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NP44 3AW
President: Lord Low of Dalston CBE
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