Consumer Arithmetic. F = P(1 + i) n. Mathletics Instant Workbooks. Copyright

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1 Consumr Arithmti Stunt Book - Sris K- $ $ F = P( + i) n Mthltis Instnt Workooks Copyright

2 Stunt Book - Sris K Contnts Topis Topi - Simpl intrst Topi 2 - Applying th simpl intrst formul Topi 3 - Vlu for mony Topi 4 - Wys of uying n isounts Topi 5 - Intrst rts Topi 6 - Compoun intrst Topi 7 - Applying th ompoun intrst formul Topi 8 - Compoun intrst tls Topi 9 - Dprition Dt omplt Prti Tsts Topi - Topi tst A Topi 2 - Topi tst B Author of Th Topis n Topi Tsts: AS Klr Mthltis Instnt Workooks Sris K Copyright 3P Lrning

3 Topi : Simpl intrst Fin th simpl intrst for h of th following situtions: $8000 t 0% p.. for 3 yrs $5 000 t 9% p.. for 6 yrs $2 500 t 7% p.. for 5 yrs $6000 t 2% p.. for 6 months $ t 8% p.. for 3 months f $ t 0 5% p.. for 3 yrs g $ for 7 yrs t 7 5% p.. h $ for 8 yrs t 8 25% p.. Us th simpl intrst formul I = P 00 r T to omplt this tl I P r (p..) T (yrs) $ % 0 $ % 8 $2864 $ % $ $ $ $ QUESTION 3 $8000 is invst t 7% p.. simpl intrst for 5 yrs. Fin: Th totl mount of intrst rn. Th totl vlu of th invstmnt t th n of 5 yrs. Mthltis Instnt Workooks Sris K Copyright 3P Lrning

4 Topi 2: Applying th simpl intrst formul Fin th lngth of tim for: $800 to th simpl intrst rn on $2700 $250 to th simpl intrst rn on $4500 invst t 5% p.. invst t 7% p.. Fin th rt s pr nt pr nnum, for: $800 to th simpl intrst rn on $3000 to th simpl intrst rn on $6900 invst for 4 yrs $0 000 invst for 3 yrs QUESTION 3 Fin th prinipl rquir for: Th simpl intrst rn to $800 on n Th simpl intrst rn to $220 on n mount invst for 3 yrs t 6% p.. mount invst for 2 yrs t 8% p.. QUESTION 4 Us th simpl intrst formul I = P r T to omplt this tl. 00 I P r (p..) T (yrs) $ % 6 $ % 7 $ % 8 $8900 $ $2 500 $ % QUESTION 5 Jill nnot i whih is th ttr invstmnt for hr $5 000: 3 yrs t 2 5% p.. 8 months t 6% p.. 50 wks t 0 5% pr wk. 2 yrs t 2% pr qurtr. Whih invstmnt gnrts th grtst simpl intrst? Mthltis Instnt Workooks Sris K Copyright 3P Lrning 2

5 Topi 3: Vlu for mony Givn tht th qulity of h typ of t is th sm, whih is th st uy? T A 500 g T B 375 g T C 250 g $4.80 $3.25 $3.00 Whih mount is th ttr uy, ssuming tht th qulity is th sm? 300 ml for $.00 or 500 ml for $ g for $2.40 or kg for $7 00 t gs for $3.50 or 200 t gs for $ ml of soft rink for 90 or 25 L of soft rink for $.70 2 L n of pint for $38.50 or 5 L n of pint for $85.75 QUESTION 3 Whih of th following is th lst xpnsiv? 00 t gs for $ t gs for $ t gs for $ t gs for $ t gs for $8.90 Mthltis Instnt Workooks Sris K Copyright 3P Lrning 3

6 Topi 4: Wys of uying n isounts Mi is to uy omputr mrk t $4500. Sh pys 20% posit n th ln ovr 2 yrs with simpl intrst hrg t 4% p.. on th ln. Fin th posit pi. Clult th ln owing. Clult th intrst pi. Fin th totl mount to rpi. Wht is th monthly rpymnt? How muh will pi on h itm? Itm A: mrk pri $80, isount 0% Itm B: mrk pri $630, isount 7 2 % Itm C: mrk pri $3560, isount 6% QUESTION 3 Ann ought TV for $66. This inlu Goos n Srvis Tx (GST) mount of $5. Wht ws th vlu of th TV for GST ws? Wht prntg is th GST of th originl vlu of th TV? QUESTION 4 Moniqu uys hous for $ , pys posit of $ n thn pys off th ln t $400 pr month for 25 yrs. Fin: Th totl ost of th hous: Th yrly intrst pi: 40 EXCEL ESSENTIAL SKILLS: YEAR 0 MATHEMATICS REVISION AND EXAM WORKBOOK Mthltis Instnt Workooks Sris K Copyright 3P Lrning 4

7 Topi 5: Intrst rts An intrst rt of 8% p.. is wht rt: Monthly? Qurtrly? Six-monthly? Four-monthly? Fin th monthly intrst rt if th nnul rt is: 6 5% 0% QUESTION 3 Fin th qurtrly intrst rt if th nnul rt is: 9% 6% QUESTION 4 Fin th numr of: Months in 6 yrs Qurtrs in 4 yrs Six-monthly prios in 8 yrs Four-monthly prios in 2 yrs QUESTION 5 Intrst on n invstmnt is to pi qurtrly. If th prinipl is invst for 5 yrs n th nnul intrst rt is 2%. Fin: Th numr of qurtrs Th qurtrly intrst rt QUESTION 6 Fin th nnul intrst rt: 3 5% pr qurtr 0 8% pr month 7 5% pr six-monthly prio 0 035% pr y Mthltis Instnt Workooks Sris K Copyright 3P Lrning 5

8 Topi 6: Compoun intrst Us th ompoun intrst formul A = P( + r ) n to fin th ompoun intrst 00 rn on th following invstmnts: $8 000 t 6% for 3 yrs, ompoun $2 000 t 2% p.. for 2 yrs, ompoun nnully yrly $ t 8% p.. for 2 yrs, ompoun $ for 3 yrs t 8% p.. ompoun qurtrly monthly $ for 0 yrs t 4% p.. intrst f $8600 for 6 yrs t 8 5% p.. ompoun ompoun monthly ily Clult th totl mount rturn whn: $9000 is invst for 5 yrs t 2% p.. ompoun yrly $ is invst for 4 yrs t 9% p.. ompoun six-monthly $ is invst for 6 yrs t 8 5% p.., ompoun monthly $ is invst for 3 yrs t 2% p.., ompoun qurtrly $ is invst for 5 yrs t 8% p.., ompoun monthly Mthltis Instnt Workooks Sris K Copyright 3P Lrning 6

9 Topi 7: Applying th ompoun intrst formul Wht sum of mony woul n to invst to worth $0 000 t th n of 5 yrs t th givn intrst rt? 7% p.. ompoun yrly 6% p.. ompoun qurtrly 5% p.. ompoun six-monthly 2% p.. ompoun monthly 3% p.. ompoun wkly ( yr = f 8% p.. ompoun nnully 52 wks) Using th ompoun intrst formul, work out th mount of intrst rn on $ t th n of th stt prio: At 7% p.. ompoun nnully for 4 yrs At 0% p.. ompoun qurtrly for 3 yrs At 8% p.. ompoun monthly for 2 yrs At 2% p.. ompoun six-monthly for 3 yrs At 9% p.. ompoun four-monthly for 5 yrs Mthltis Instnt Workooks Sris K Copyright 3P Lrning 7

10 Topi 8: Compoun intrst tls Th tl shows th totl mount $ inrss to if invst t th givn intrst rt for th givn numr of prios, whr intrst is ompoun pr prio. Pri os Intrst rt pr pri o % 2% 2 5% 4% 5% 6% 0% 2% Us th tl to fin th totl mount rturn in h sitution: $8000 invst for 8 yrs t 6% p.. ompoun nnully $ invst for yr t 0% p.. ompoun qurtrly $5 000 invst for 4 yrs t 8% p.. ompoun six-monthly Us th ov tl to fin th mount of mony whih oul invst now to giv $ t th n of 5 yrs t 0% p.. ompoun nnully. Mthltis Instnt Workooks Sris K Copyright 3P Lrning 8

11 Topi 9: Dprition Us th prition formul A = P( r ) n to fin th vlu of th following itms 00 ftr th givn tim. A r ought for $6 000 prits t 8% p.., fin its vlu ftr 3 yrs A off mhin is worth $5000 n prits t 7% p.., fin its vlu ftr 5 yrs. A omputr osts $3500 n prits t 25% p.., fin its vlu ftr 4 yrs. A photoopir osts $ n prits t 5% p.., fin its vlu ftr 3 yrs. A usinss uys nw omputrs for $ Thy prit t th rt of 20% p.. Clult: Thir vlu ftr 3 yrs Th mount of prition QUESTION 3 Eh yr th popultion of town rss y 7%. If its popultion is now popl, wht will it in 4 yrs? A lirry prits y 0% p.. If it is now worth $50 000, wht will its vlu ftr 5 yrs? Mthltis Instnt Workooks Sris K Copyright 3P Lrning 9

12 Topi Tst PART A Tim llow: 5 minuts Totl mrks = 5 Mrks $2000 invst for 2 yrs t 0% simpl intrst oms: A $400 B $2200 C $2400 D $ $800 invst for 3 yrs t 2% p.. ompoun intrst oms: A $545.8 B $944 C $088 D $ $4000 invst for 5 yrs t 8% p.. ompoun intrst oms: A $ B $5600 C $5400 D $ Whih is th st uy? A kg for 60 B 2 5 kg for $.20 C 5 kg for $2.30 D 0 kg for $4.0 5 Fin th simpl intrst on $4500 t 7% p.. for 5 yrs. A $6075 B $575 C $63.48 D $ $500 invst for 3 yrs t 5% p.. simpl intrst oms: A $225 B $725 C $ D $ $2000 invst for 4 yrs t 0% p.. intrst ompoun nnully oms: A $800 B $2800 C $ D $ Fin th simpl intrst on $200 t 2% p.. for 5 yrs. A $720 B $920 C $94.8 D $ A sum of $8500 mount to $8925 ftr ing invst for 6 months t simpl intrst. Wht ws th intrst rt rn? A 8% p.. B 9% p.. C 0% p.. D % p.. 0 Clult th ompoun intrst rn on $0 000 t 9% p.. for 3 yrs ompoun monthly (orrt to th nrst ollr). A $3 086 B $3086 C $2700 D $2 700 $5 000 is invst for 5 yrs t 0% p.. intrst ompoun qurtrly oms: A $ B $7500 C $ D $ A omputr osts $2800 n prits t 20% p.. Fin its vlu ftr 3 yrs. A $ B $ C $56.80 D $ A moil phon is worth $800 n prits t 20% p.. Fin its vlu ftr 5 yrs. A $ B $262.4 C $ D $ A t of $ is to pi in qul instlmnts of $750. How mny instlmnts r n? A 36 B 48 C 60 D 72 5 $2500 invst for 5 yrs t 2% simpl intrst p.. oms: A $500 B $4000 C $ D $ Mthltis Instnt Workooks Sris K Copyright 3P Lrning Totl mrks hiv for PART A 5 0

13 Topi Tst PART B Tim llow: 5 minuts Totl mrks = 5 Qustion $8000 is invst for 4 yrs t 0% p.. intrst ompoun nnully. Fin: Th totl mount t th n of 4 yrs. Th ompoun intrst rn. Wht rt of simpl intrst woul prou th sm rsult? Fin th simpl intrst rn on $8000 t 8% p.. for 8 yrs. How muh mor intrst woul rn if th sm $8000 is invst for 8 yrs t 8% p.. ompoun nnully? Answrs Mrks Qustion 2 Jms is to uy omputr mrk t $5000. H pys 20% posit n th ln ovr 2 yrs with intrst hrg t 8% p.. on th ln. Fin th posit pi. Clult th ln owing. Clult th simpl intrst pi. Fin th totl mount to rpi. Wht is th monthly rpymnt? Qustion 3 Fin th simpl intrst on $ t 8% p.. for 3 yrs. Fin th lngth of tim for $200 to th simpl intrst on $4800 t 5 % p.. Fin th ompoun intrst on $ t 7% p.. for 2 yrs. Clult th totl mount of intrst rn whn $7200 is invst for 3 yrs t 8% p.. ompoun hlf-yrly. Eh yr proprty inrss in vlu y 0 2 %. Wht is th vlu of $ proprty ftr 5 yrs. Mthltis Instnt Workooks Sris K Copyright 3P Lrning Totl mrks hiv for PART B 5