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UEB Maths and Science Practice Exercises

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UEB Maths and Science Practice exercises

ContentsExercise 1....................................................................................3

Answers.....................................................................................3

Exercise 2....................................................................................3

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.....................................................................................21UKAAF contact details..............................................................21

UKAAF registered address........................................................21

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Exercise 1(a)

(b) There were 20 000 people in the football ground.

(c) 18+=23

(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

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Exercise 2

(a) Work out of 48

(b) Work out

(c) 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

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Exercise 3

a.

b.

c.

d.

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

5

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

b. 36%

c.

d. √

e.

f.

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.

2.

3.

4.

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;'

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Exercise 6

1.

2.

3.

4.

5. Area of a circle =

6.

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 71.

2.

3.

4.

5.

6.

7.

8.

9.

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.

2.

3.

4. a =

5.

6.

Answers ,ex]cise #h #a4 ;;;<,,pq>^: "7 ,"<#d,"> ,"<#e,"> ,"<#f,">;'

#b4 ;;;.a "7 (d.w./dt) "7 .?.9<44>;'

10

#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 and then

b. If then

c.

d.

e.

f.

Answers ,ex]cise #i a4 ,if ;,p "7 _<#d1 #h1#ab_> & ;,b "7 _<ev5 numb]s_>!n ,a ^< ;,b

;b4 ,if ;,d "7 _<=d1 saab1nissan1 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 =

2.

3. Glucose has the molecular formula

4.

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)

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

7 209 860 703

(c) 7++3=15

(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)

16

(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'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 9top.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;'

19

"<;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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