Download - F1Maths Basic Measurements
-
8/12/2019 F1Maths Basic Measurements
1/23
MATHEMATICS - FORM 1
BASIC MEASUREMENTS
-
LENGTH
A) Determining the Metric Units ! Length
1" Lenght is the #ist$nce %et&een t& 'ints"
(" The re$tinshi's %et&een the metric *nits
! egth $re sh&n %e& +
,re# E.$m'e 1
St$te the *nits ! ength s*it$%e !r me$s*ring
/$) the thicness ! $ cin0
/%) the ength ! S*ng$i $h$ng"
S*tin
/$) mm /%) m
B) Cn2ersin %et&een Metric Units ! ength
A *nit ! ength c$n %e cn2erte# t $nther
*nit"
/$) 1 cm 3 14 mm
/%) 1 m 3 144 cm
-
8/12/2019 F1Maths Basic Measurements
2/23
/c) 1 m 3 144 . 14 mm
3 1 444 m
/#) 1 m 3 1 444 m
/e) 1 m 3 1 444 . 144 cm
3 144 444 cm
/!) 1 m 3 144 444 . 14 mm
3 1 444 444 mm
,re# E.$m'e (
Cn2ert
/$) 51 m t cm0
6
/%) (7 cm ( mm t mm
S*tin
,re# E.$m'e 5
Cn2ert
/$) 7("5 cm t m0
/%) 1 m (8 m t m"
S*tin
,re# E.$m'e 6
Cn2ert
-
8/12/2019 F1Maths Basic Measurements
3/23
/$) 98 mm t cm $n# mm0
/%) 7 486
S*tin
,re# E.$m'e 8
Cn2ert
/$) :5 m t m $n# cm0
6
/%) 4" 8( m t cm"
S*tin
C) Me$s*ring the Lengths ! O%;ects
,re# E.$m'e 7
Me$s*re the ength ! the str$ight ine R &ith
$ r*er"
S*tin
R 3 ("9 cm r ( cm 9 mm
,re# E.$m'e :
Mes*re the c*r2e MN"
S*tin
-
8/12/2019 F1Maths Basic Measurements
4/23
Use $ 'iece ! thre$# $n# '$ce it n the c*r2e
!rm M t N" M$r the 'int N n it" Stretch the
thre$# n $ r*er t mes*re the ength ! the
c*r2e MN"
MN 3 6"7 cm r 6 cm 7 mm
D) Dr$&ing Str$ight Lines
Use A str$ight ine c$n %e #r$&n %< *sing $
r*er $n# $ 'enci i! the ength is gi2en"
,re# E.$m'e 9
Dr$& the str$ight ine R &ith the ength !
/$) 61 cm /%) 7 cm 6 mm"
(
S*tin
E) Estim$ting the Lengths ! O%;ects
,hen estim$ting the ength ! $n %;ect0
$n $''r'ri$te *nit ! ength m*st %e *se#"
Fr e.$m'e +-
The $''r'ri$te *nit ! me$s*rement !r estim$ting
the thicness ! $ cin is mm" Other *nits ! ength
s*ch $s m $n# m $re nt s*it$%e in this c$se" m
$n# m $re *se# !r $rger me$s*rement"
-
8/12/2019 F1Maths Basic Measurements
5/23
,re# E.$m'e =
Estim$te the ength ! the !*rescent t*%e in metres"
S*tin
The estim$te# ength ! the !*rescent t*%e is 1" 8 m"
The $ct*$ ength is 1" (( m"
F) A##itin0 S*%tr$ctin0 M*ti'ic$tin
$n# Di2isin in22ing Length
Estim$te Be!re 'er!rming $##itin0 s*%tr$ctin0
m*ti'ic$tin r #i2isin in22ing engths ! #i!!erent
*nits0 &e h$2e t ch$nge $ the me$s*rements t the
s$me *nit !irst"
,re# E.$m'e 14
S2e
/$) 18 m 6( cm > 7 m (8 cm
/%) (6" = cm > 6 mm"
S*tin
There!re0 18 m 6( cm > 7 m (8 cm
3 (1 m 7: cm
,re# E.$m'e 11
S2e
-
8/12/2019 F1Maths Basic Measurements
6/23
/$) 7 cm - (" 418 cm0
/%) 81 mm - (5 mm0
( 14
/c) 55" 8( m - 17 cm"
S*tin
/$) 7" 444 cm
- (" 418 cm
5" =98 cm
There!re0 7 cm - (" 418 cm 3 5" =98 cm
,re# E.$m'e 1(
S2e
/$) 76 mm . 9
9
/%) 6 m (4 m 1( cm . 8
S*tin
/$) 76 mm . 9
9
3 8( mm . 9
9
3 8( mm
There!re0 6 m (4 m 1( cm . 8
-
8/12/2019 F1Maths Basic Measurements
7/23
3 (4 m 144 m 74 cm
,re# E.$m'e 15
S2e
/$) 19" ( cm ? 8 /%) 18 m (94 ? 6"
S*tin
G) r%em S2ing in2ing Length
,re# E.$m'e 16
A 'iece ! %$c thre$# is ( m 76 cm ng $n#
$ 'iece ! re# thre$# is (" 6 m ng" Fin# their
tt$ ength"
S*tin
1" Un#erst$n# the 'r%em
Length ! the %$c thre$# 3 ( m 76 cm
Length ! re# thre$# is 6" 7 m
Fin# + Tt$ ength ! the t& 'ieces ! thre$#s
(" De2ise $ '$n
Ch$nge ( m 76 cm t m $n# then n*se $##itin"
5" C$rr< *t the '$n
( m 76 cm
3 ( m > / 76 ? 144) m
3 ( m > 4" 76 m
-
8/12/2019 F1Maths Basic Measurements
8/23
3 (" 76 m
(" 76 m > (" 6 m 3 8" 46m
(" 76 m > (" 64 m
8" 46 m
There!re0 the tt$ ength is 8" 46 m"
6" Chec
8" 46 m
- (" 6 m
(" 76 m
MASS
A) Determining the Metric Units ! M$ss
1" M$ss is the $m*nt ! m$tter in $n %;ect"
(" M$ss is *s*$< me$s*re# in gr$ms /g)0
igr$ms /g) $n# tnnes in metric *nits"
5" A s*it$%e *nit ! me$s*re# sh*# %e *se#
!r #etermining the m$ss ! $n %;ect"
,re# E.$m'e 18
St$te s*it$%e *nit !r e$ch ! the !&ing"
/$) The m$ss ! $ chicen
/%) The m$ss ! $n egg
S*tin
/$) g
/%) g
-
8/12/2019 F1Maths Basic Measurements
9/23
B) Cn2ersin %et&een Metric Units ! M$ss
The re$tinshi's %et&een the *nits !
m$ss in the metric s
-
8/12/2019 F1Maths Basic Measurements
10/23
S*tin
/$) 544 g /%) 1" 9 g
D) Estim$ting the M$ss ! O%;ect
,hen estim$ting the m$ss ! $n %;ect0 $n
$'''ri$te *nit ! m$ss m*st %e *se#"
Fr E.$m'e +-
The *nit s*it$%e !r me$s*ring the m$ss !
$ (4 sen cin is g" g is nt s*it$%e in this
c$se $s g is *se# !r $rger me$s*rements"
,re# E.$m'e 19
Estim$te the m$ss !
/$) $ %tte ! 544 m ! miner$ &$ter0
/%) $ re$m ! A6 '$'ers"
S*tin
/$) Using $ '$cet ! 544 g ! s*g$r $s $ g*i#e0
the estim$te# m$ss ! the %tte ! miner$
&$ter is $%*t 544 g" The $ct*$ m$ss ! the
%tte ! miner$ &$ter is 514 g"
/%) Using $ '$cet ! !*r &eighing 1 g $s $
g*i#e0 the m$ss ! $ re$m ! A6 '$'er is
estim$te# t %e $%*t ( g" The $ct*$ m$ss
! $ re$m ! A6 '$'er is (" 59 g"
-
8/12/2019 F1Maths Basic Measurements
11/23
E) A##itin0 S*%tr$ctin0 M*ti'ic$tin
$n# Di2isin in22ing M$ss
Be!re 'er!rming $##itin0 s*%tr$ctin0m*ti'-
ic$tin $n# #i2isin in22ing m$ss0 ch$nge $
the me$s*rements t the s$me *nit"
,re# E.$m'e 1=
S2e
/$) 9 tnnes 584 g > 7 tnnes :64 g0
/%) 15 g :4 g - 6 g 8(4 g
/c) :(4 g - 5 g
8
S*tin
,re# E.$m'e (4
S2e
/$) 8 tnnes 614 g . 7
/%) (( g ? 6
8
/c) (4 g (8 g ? 9
S*tin
F) r%em S2ing in22ing M$ss
An em't< 2esse &eights 854 g" ,hen !ie#
&ith s*g$r0 it &eights (" 89 g" Fin#0 in g0
-
8/12/2019 F1Maths Basic Measurements
12/23
the m$ss ! the s*g$r"
S*tin
1" Un#erst$n# the 'r%em
Gi2en in!rm$tin +
M$ss ! the em't< 2esse 3 854 g
M$ss ! the em't< 2esse > s*g$r 3 (" 89 g
Fin# + M$ss ! s*g$r
(" De2ise $ '$n
Ch$nge the m$ss ! the em't< 2esse t g
$n# then *se s*%tr$ctin"
5" C$rr< *t the '$n
854 g
3 / 854 ? 1 444 ) g
4" 85 g (" 8 9 g
- 4" 8 5 g
M$ss ! s*g$r (" 4 8 g
3 (" 89 g - 4" 85 g
3 (" 48 g
There!re0 the m$ss ! the s*g$r is (" 48 g"
6" Chec
(" 48 g
> 4" 85 g
(" 89 g
TIME
-
8/12/2019 F1Maths Basic Measurements
13/23
A) Determining the A''r'ri$te Units ! Time
1" Time is the 'eri# %et&een t& cc*rrences
r e2ents"
(" The *nits ! time $re secn#s0 min*tes0 h*rs0
#$
-
8/12/2019 F1Maths Basic Measurements
14/23
6
/%) 7 min*te 19 secn#s t secn#s"
S*tin
/$) 81 #$ 19 secn#s
3 / 574 > 19 ) secn#s
3 5:9 secn#s
,re# E.$m'e (6
Cn2ert
/$) 57 mnths t
-
8/12/2019 F1Maths Basic Measurements
15/23
Estim$te the time t$en t sing the n$tin$ $nthem0
Neg$r$*"
S*tin
54 secn#s
E) A##itin0 S*%tr$ctin0 M*ti'ic$tin
$n# Di2isin in22ing Time
,re# E.$m'e (7
S2e
/$) 8 min*tes 6( secn#s > 51 min*tes"
(
S*tin
/$) 8 min*tes 6( secn#s > 51 min*tes
(
3 8 min*tes 6( secn#s > 5 mmin*tes
54 secn#s
3 = min*tes 1( secn#s
,re# E.$m'e (:
S2e
/$) 16 &ees ( #$
-
8/12/2019 F1Maths Basic Measurements
16/23
/%) ((" 5 min*tes - (6 secn#s
3 / (( > 4" 5) min*tes - (6 secn#s
3 (( min*tes > / 4" 5 74 ) secn#s -
(6 secn#s
3 (( min*tes 19 secn#s - (6 secn#s
3 (1 min*tes 86 secn#s
,re# E.$m'e (9
S2e
/$) 9 #$
-
8/12/2019 F1Maths Basic Measurements
17/23
,re# E.$m'e 54
A %*s t 7 h*rs 58 min*tes t tr$2e !rm
Serem%$n t I'h" It t $nther ( h*rs 18
min*tes t tr$2e !rm I'h t B*tter&rth"
C$c*$te the tt$ time t$en t tr$2e !rm
Serem%$n t B*tter&rth"
S*tin
1" Un#erst$n# the 'r%em
Gi2en in!rm$tin +
Serem%$n t I'h 3 7 h*rs 58 min*tes
I'h t B*tter&rth 3 ( h*rs 18 min*tes
Fin# + Tt$ time !rm Sh$h A$m t
B*tter&rth
(" De2ise $ '$n
Use $##itin"
5" C$rr< *t the '$n
6" Chec
9"6 T,ELE-HOUR AND T,ENT-
FOUR-HOUR SSTEM
A) Time in the 1(-h*r S
-
8/12/2019 F1Maths Basic Measurements
18/23
r (6-h*r s
-
8/12/2019 F1Maths Basic Measurements
19/23
(" A #$< en#s $t (644 h*rs" The ne.t #$< %egins
$t 4444 &hich is 1(" 44 mi#night"
,re# E.$m'e 5(
,rite the time !r e$ch ! the !&ing in the (6-
h*r s
-
8/12/2019 F1Maths Basic Measurements
20/23
Ch$nge e$ch ! the !&ing t the 1(-h*r
s
-
8/12/2019 F1Maths Basic Measurements
21/23
Inter2$
3 54 min*tes > 6 h*rs 18 min*tes
3 6 h*rs 68 min*tes
E) Determining the Time in the 1(-h*r
S
-
8/12/2019 F1Maths Basic Measurements
22/23
F) r%em S2ing in22ing Time
A sh& st$rts $t 9" 68 $"m" $n# en#s $t 5" (4 '"m"
H& ng is the sh&
S*tin
1" Un#erst$n# the 'r%em
Gi2en in!rm$tin +
The sh& st$rts $t 9" 68 $"m""
The sh& en#s st 5" (4 '"m""
Fin# + D*r$tin ! the sh&
(" De2ise $ '$n
Ch$nge the times t the (6-h*r s
-
8/12/2019 F1Maths Basic Measurements
23/23