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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

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/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

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/$) 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

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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"

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,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

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/$) 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

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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

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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

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B) Cn2ersin %et&een Metric Units ! M$ss

The re$tinshi's %et&een the *nits !

m$ss in the metric s

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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"

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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

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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

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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

#$

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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

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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

/$) 16 &ees ( #$

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/%) ((" 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

/$) 9 #$

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,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

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r (6-h*r s

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(" 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

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Ch$nge e$ch ! the !&ing t the 1(-h*r

s

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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

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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

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