Sy a 2} NATIONAL.TEACHING COUNCIL ge 4 \wic/ ze SS GHANA TEACHER LICENSURP EXAMINATION (TLE) a eal 4 z = — - a4 “amie number | | Dae: 26-00-2019 & 4 aa t Ly as | Duration: the ASmin 3 } a 0 = PAPER II NUMERACY INSTRUCTION This paper consists of two parts, K and B. Part A consists of 30 multiple-choico questions with four options lettered A to D. Read and evaluate all four answer choices 1 before circling the correct or best answer. Part B consists of THREE questions to be answered on the paper. PART A; Multiple-Choice questions PART B: Essay vet cztemedbaanzecazersPARTA (30 marks) Answer all ihe questions ‘This part consists of 30 multiple-choice questions with four options lettered & to D. Read and evaluate all four answer choices hefore circling the correct or best answer. 1, Which ono of the following strategies is correct for finding the cost of 94 shirts at GIte19.00 por shitt? A. 1900-96 z B. 1900-28 \qooF . 1900436 7— D. 1900438 2. A primary school complex has 4 streams, A-D, and each stream has & classes. If the average class size in the school is 45, what is the total enrolment of the school? A. 360 232 B. 540 Yee 32 -C: 1440 yst \ D. 2028 = 440 ‘When a fridge cools water from a temperature of 24°C to -S°C, how many degrees has 7 the temperature gone down? 5 A. °C B. 10°C f c. 19°C Pp. 29°C pret) ——~ +> OF 234 Se1s Om ay A parentinvited 12 children to her daughter's birthday party. Sho has a box containing 129 toffees. What is the smallest number of tolfees that must be added so that each child has the same number? ac oy Abu and Aba shared GH¢ 2,400.00 in the ratio 2:3. How much did Aba receive? ‘A. GH¢ 800,00 ; oo 3 "M49 5° Gite 980.00 2 ish ‘eked sations 2 GH 1,440.00 Le & 4% oe 7:7 B. GHAa,000.00 wer e Naw on™ * 3 a|s mere (65 Sine and Joyce were examined in a speed test in typing a passage. Jane finished in 9 L minutes and Joyce finished in 12 minutes. If Jane typed 100 words per minute, what dad was Joyce's speed measured in words per minute? C18 * 1440, B. 60 q—\ rss EVE N40x5 te pes F=> 100 ee a D. 120 ° iN =a) duvide ° 4 ye fo =?. Uf mere less es, 1S fille. Dat (ULGURCITAR aKa grote \vyUse the diagrams bolow to answer questions 7 and 8, 10. Start of school day 1. How long is the school day? A. Ghours 30 minutes — B. Ghours 10 minutes . Shours 30 minutes —~ D. Shours 10 minutes D If the last 80 minutes of the school day was spent on a sporting activity, at what time exactly did the activity begin? A am B pm c. pm QR pm aie. yr ww 2D. G2 Orn oP 38 ‘There are 22 boys and 18 girls in a class. A prefect is to be selected from the class. What is the probability that a gir] is selected as a prefect? 1 A B. é. D. A student's average score in four papers in a monthly test was 60.8%. the first three papers were 72%, 58% and to 3 n 3 20 n 20 ¥ 9 “Yo score in the fourth paper? papp 44% — 1 43% oe 42% x - o TAT at Spt pee as at ; ast — ~ nratie = 40 ‘The scores in 68% respectively. What was the student's Y fr xr a ae iy Def (treruessaseeegcers11. A salon car travelling from town X towards town ¥ met a taxi travelling from town ¥ towards town X. If at the meeting point the salon car had covered 183,764 metres while the taxi had covered 31,816 motros, what ia the distance botwreen the two towns, to the noarost kilometro? , { 218 km x - Yee 2 216 km 220km 225 kit . von Use the geometric pattern of match sticks below to answer questions 12 and 13, A LV LA AV 6°" Pattem1 = Pattern 2 Pattern 3 Panea ue % $s I) 13's 76 #l q 12. How many match sticks will be used for the 9th pattern? A 13 ~ \\ \e - 7 B. 18 1€ \ c.17 2 12 mW aw > poke 14, Araba ordered 50 sachets of water, but the seller sent one and a half times as many. How many sachets did she receive? xe gor?s Glade Low 1 - 18 , D. 80 “ 15, Yahaya, a tailor, started sewing an ‘agbada’ dress at 9:45 a.m. He completed the dress at 12:30 p.m, How long did he take to sew the dress? A. 2hrs 16 mins B, 2hrs30 mins @, 2hrs 45 mins D. 3hrs 16 mins 2 : iq We 16, Given that a gallon of emulsion paint can be used to paint att area of 10 m? lvall, how many gallons will be needed to paint a rectangular backwall of a classroom 6.5 metres wide and 4 metres high? ‘A. 2.0gallons oh Cennst 3.0 gallons 2.6 gallons , 26,0 gallons B. & D. Aol C2) GTLESgARzgoogots ae vero |ea to Qu tc — "50 17. The mean age of 10 ladies in a group is 18 years, One lady left the group and the moan age became 14 years, How old is the lady who left? A. 20 years Se aac : b B. 22 years [92> ys ietel age ota. \? G 24 years, _ [S710 =1SO ’ =>. HKU SO ‘ D. 28 years . uy 18. These circle graphs represent the nimbor of Primary Five and Primary Six pupils in the sports teams of two schools participating in an inter-schoo! athletics competition. School A School B S Ho Xe 5 oy jor 22 Team total = 50. Team total = 60 How many pupils in the two teams are in Primary Six? A 24 oy B44 a1 gt c. 47 23) D. sl . = Use the information below to answer questions 19 and 20. K high school purchases a new printing machine at the cost of GH¢24,000.00. The school estimates that the equipment decreases in value by the same amount each year. 19. If the estimated value is GH¢15,000.00 after 3 poryea? x (GH¢3,000.00 —~ ‘GH¢5,000.00 (GH¢7,000.00 GHg9,000.00 pore 20. What is the estimated value of the printer after five yoars? . GH¢ 3,000.00 B. GH¢ 8,000.00 e 28 C. GH¢ 7,000.00 at? D. GH¢ 9,000.00 —~ \ Sof L2UCTLESSARZEOSZ019Use tho information in the diagram below to answer questions 21 and 22, 21. The distance between the church and the airport on the map is T8 em. How far is the airport from the church on land? A. 38km \-S B. 45km ist . C. 75km ee qk" D. 85km = 22, What is the direction of the church from Kofi's house’ Ac North East B. North West C. South East D. South West Use this information below to answer questions 23 and 24 A aistrietassombly plans to build a public parking lot, Tho diagram below represents the proposed shape of the parking lot som 3 yi toom 120m 50m the : 23, What is the value of y in the diagram? . 20m Ig — 40m _- will be required? A. 320m B. 440m gosom~ D. fosom * 49 [ water yoo tito" ; worl NOTE“ itletetssanzeoszets wf so |BLS SU a 10s OU = NO = 25, Rabiatu bought 3 tins of milk at GH¢3.60 each, She paid with a twenty-cedi note. How much chango did sho recoive? oem 2 eA A, GH¢8.50 1 150 mic) 22s Be GH¢9.60 QO" co Fao 6 “C. GHE10.60 a 2 50-\0 D. GH¢16.60 7 ra ae pee 26. Study Emofa’s time graph below and state the year she was born and the age at which she completed university, wet lated [ aw't990 1995” 2000-2005 oe on 4 : A. .1988; 24 years ner 4 w B.: 1987; 24 years ~ LA\a% C. 1987; 23 years \\ ‘ D. 1988; 23years 2 oh 27, From Town A, Yaw walks 8km north to Town B ona straight path, then 6km east to Town C. What is the shortest distance oF poms C from Town A? A. 13km Au cote B. 12k Cc, km Z h glee pc\ 2 (Pe om \t 28, Awater tank is a cube of side metres. What isthe volume of water inthe tank itis half-full? A. 24m? 4.0m? | C. 8.0m? D. 24.0m? 29, Fifty percent of the people in a village speak Akany and seventy-five percent speak Dangbe. Some speak both languages. No other language is spoken in the village. tat percentage ofthe péope in the vllage speaks both Akan and Dangbe? 28% ee . = $e . : B 3% [Re MER go fg we ie C6 canes a7sh A 1 Done jas | i “se _etk > —l * 30. When 3 is subtracted from two times a certain number, the result is 7. What is the number? A 3 a 3 4 B 4 me yas os 210 coy ae ay poe epe & sore asf peo SOx 1% 1307 J O02 130-%6 Tat VelerbrsaaRaeedaers x 2130-100 4dPART B (30 marks) Answer all the THREE questions on the question paper. Edison added two decimal fractions and obtained the answer as shown: 0.8 + 0.27 = 0.90 / i, What concept did he fail to apply in his solution? ii, Explain how he should have added 0.3 + 0.27 correctly. 8 marks b). Two neon bulbs are turned on at the same time. One blinks every 12 minutes and the other blinks every 18 minutes. If they blink together at 7:30 am, when is the next time they will blink together? S marks O34 030 t2(orf Bo TK 1 O-S7 ‘ & ge (36 er 30 = BD: 36 Ob T 0 Z40:27 s OS A WAN Gavide edldisor TA ay 36 1G eae 8 of LDPGTESIERZE0920182. a). Students in two classrooms were given a mathematics test. The first classroom had 25 students and their average score was 86%. The second classroom had 18 students and their average score was 94%. If the teacher combined the test scores of students in both classes, what is the average score for both classes? Smarks b). A teacher randomly surveyed some high school students to see what they think about the double track system. The results of the survey are shown in the table below. C a ae {0 [Giass_[im favour [Opposed [Undecided] &% S en [JHS3 19. 4 2 30 As {> yb[susr 18 6 8 iS 4 Ae sHs2_ | __13 6 i xD \\ a)'7~ [sHs3 W 10 9 2 yD 4 fetal 58 26. 36] 20 Ves wy oneal ‘What fraction of the students who participated in the survey isin JHS3?_ > ii, A newspaper reporter randomly selected a student from this survey to interview. What is the probability that the student selected is in favour of the double track system? 14 yet = D9. cv 5 marks3. a). Sixty students responded to the question ‘Which of the two sports, Football (F) and Basketball (B) do you play on regular basis?" The Vonn diagram below shovs the results. ee 1. 9 OF19 8 eee apres 7 * iy) 29% Le. 7 years 3 months. How old is the third girl? &.16 years 6 months average = B. 17 years 4 months Ie ae 117 years 6 months hedge D.18 years 4 months Vay Totel ooe St Dees Hanan ia 78 Fi HRS ). What is 78,910 correct to the nearest thousand? A.70,000 B. 78,000 Weg ita ©78,000 DP TAs Bue DIEI.000, y The thicd et age = ea.2 ~3YG » A.trader buys 7 sheep at GH¢250.00 each and sells them at GH¢300.00 each. Which of the following expressions fopaeendist the trader's profit? A. 1(250) - 7(300) @©7(300) - 7(250) C,7(250) - 300 D.7(800) - 260 : - 1%. A rectangular field has dimensions 90m by 20m. How many metres of wire mesh will be needed to fence round the field completely? } A.110m ~ 6? 220m \ C.1800m, D.2200m. i 13/In a class of 30 pupils, 10 are females and the rést are males, What is the chance of \dom from the class? ee amale at random Flan’ a | i : | BS og 3 2 © Zp 3 « ; 625 50° pt few 2 sana2 “i 28 a Neo paest0T_ et feoke X14. The ian score of a group of 20 pupils in a test was, 6. When another score was added, the mean score became 7. What was the new score? ASS ~ we Ge Reb 5 wade’ 5 fe sac 2 loo D.ld7 * ah \Wisteotm 5 imple of 1,200 adults, it was observed that for every 8 15.-In a survey involving a 7 adults, 3 were men and 6 were women. How many men were part of the sample? A. 150 c o4~ Ss 880 mentee yg ; nsomen L2G, = N6KD D.750 g YOO. g AS vA No, = 1S? ich one of the following statements is true? om” 7x By @2x2x2x2x222 6 245° C.3X3X3xX3=43 D.34+34343=3¢ Figure 1 isa plan of the floor of a building. Use the information to answer questions 17 and 18. Figure 1 7. What is the value of x? A.l4m B. 17m ) 18m . 24m. a distance round the entire eel @ 5 oft 4t3t a48ts 65am Bear? os eT tt em © sam 2 BM 19.-Aih examination started at 8:05 a.m, and lasted for 2 hours 30 minutes. At what time did the examination end? eo ERTORRR SEC TEE 7H WEIRD wtae ‘he morning session ina schoo! hogan at 7:26 a.m. with a 20-minute worship. This was followed by three lessons, oach 40 minutes long before breakfast. At what time did the breakfast period stati? yok. = 120098 Ce £5 lev! 29, Seventy students were asked about their preference for Banku or Rice. The diagram below shows the result. Rice Banku “ How many students did not like Banku? AM B, 24 De INCE & 2 ae QYTlY = BE ©. 38 6 of 12lerucarczocgze2030. A head teacher orders elght pointors, five markers and ten whiteboar« ‘The unit price of the materials aro shown in the table below: Ten aes eZ] Pointer = wal 87.00, Whiteboard marker, Whiteboard eraser ‘Which one of the following exprossions gives the best estimate of the total cost? ,80(8) + 3(6) + 2(10) B, 80(8) + 4(8) + 2(10) G.90(8) + 3(6) + 210) 908) + 46) +200) 4oCx> 4(s) 2 Co) (oo (s) ys) vo cay Taf I2LGTHEAEG2O0R2020PARTB (30 marks) Answer all the THREE questions on the quostion paper. __}+ 3). Kinata goes for swimming lessons overy 5 days while Wayo goes every 6 days. If Doth Kinata and Wayo had swimming lessons together at the poo! today, after how many days will both meet again at the pool for lessons? 4 marks b). The following are tho ages in years of members of a group: 8, 11, 8, 10, 6, 7, 3x, 11, 11. Ifthe mean age is 9 years, find the value of x? 6 marks Ds Co, 1S, 20,25, é (12, te, 04, e+ Their nerdh. meeting day = ce J by ZANE ro¢eeT +320 + i+ q Fg 1242x =%) = &\-72 u e-$ a Gof LRP GTLEMEGzae 20202. a), Abona wanted to buy « bag and had saved for 8 consecutive weeks. Sho saved GH¢2.00 in the first weok, GH¢4.00 in the second week, GH¢6.00 the third week, Gig 8.00 in the fourth week, and so on until the oighth wook. How much did the bag cost if hor entire kavings at the ond of the 8th week was spont on buying the bag? 4 marks b). Afarmer had a plot of land measuring 25m by 16m, He built a fence, leaving a margin ‘of 2m wide all round it as shown in the Figure 2, Find the total length of the fence. Ww Kd the Total Area of the fence ~-Fenee 2. --- Figure 2: Not drawn fo Scale 6 marks Len IS4¢342 a¢ (St#a¢2 i CaP eT =3. a). Solve the puzzlo @+ @ + @ = 6 @+ ¢ 4 = 40 e+ O & = # i. Whatis the value of @ 710 Senate ii, Whatis the value of #710 2marks iii, What is the value of Ore 2 marks i ion task as follows: 242'= 4 »b).A pupil solved a fraction task as follows: 2 +> = 5 i. Identify what the child did wrongly. I mark ii, Explain how you would solve the task correctly, leaving your answer as a common fraction. 4marks Ail ed the numerato 3+] act 4 and added che denominator et 92 ko gest if Cal the aaded) the Numesators and had? (B owitl Bnd che Lc ng which lo [DO Tus] divide the LC bys t get and) tq use the 9. to multiely Fhe 2 . ) will diate whe LCM by 2 and we : the result t mul tpl =e. 6+S LO Lusi] add the numerdtor to get u wo 12 of 12] GTREAEC2O6z020NATIONAL TEACHING COUNCIL GHANA TEACHER LICENSURE EXAMINATION, JUNE 2020 NUMERACY MARKING SCHEME 1c 360 2 Bou 32 cou 4S eee 5. B GH¢280,00 1 & ¢ ¢ 7. D 50 8 BOIS 9 — ITyears émonths 10. C 79,000 Il. B 7(300)—7(250) 712 B 220m Rc 2 3 14 B47 15. B 450 16 Bo 2x2x2x2x2=28 17, © 18cm 18 D 58cm 19, B 10:35am . 20. C 9:45am 2. © 1B 2. © Thursday 2. D. 75% 24. © 3hr2min 25. 26, eee 2. © Byears \ 2B B+ 2. D 3B =z . 3S a é of ale Ss nd the L gh +l Page 1 of 3 \ . hers os eS Te \enrord NS ; aex \%PARTB 1a) Kinata’s meeting days: 5, 10, 15, 20, 25, 30, 35 . > tinea Wayo's esting days: 6,12, 18,24, 30,36.u0u0e —————- Mf at Feast 4 multiples Al up to 30 Therefore, both will meet again inthe 30 day after their first ___A1 (30 days) concluding/ ‘ No mark ifno working is shown 1 Aliter for question 1a) — using the LCM principle Lowest Common Multiple for S andé - _____} B1 for relating process to the LCM principle i MIAL for obtaining ee LCM of S and 6 is 30 Te aeae =| A130 conclusion! No So, their next meeting day together will be on the 30" day ~ mark if no working is shown 1b) Sumofages: B+114+8+10464+74114+11+3x - — | Ml adding =7243x —__| Al for correct expression for sum of ages, ys M1 for correct Mean expression for mean N\] it for equating ‘expression to 9 3x=81-72=9 _——| ML solving equation oe ae jis) cA i MI stating any two. consecutive saved Week | 1] 213] 4] 5 | 6 | 7 | 8 | Tout amounts after GHE8 ‘Amount Al for stating all consecutive saved amounts saved Page 20f3Therefore, cost of bag = GH¢72,00 sum of all savings ~~] Al for CAO ie, 72 b) Length offence =254+24+2=29m © 2. adedem M1 adding Al for 29m corr Width of the fence 154+ 242=19m = —2 ele cary | MIL adding AI for 19m Total length of fence 2(29 +19) =. _____-—| M1 correctly computing perimeter =96m —________) Al for 96m 3a)() ising e~ 9 @ ~ 20 because 20+20+20=60 BL recognise ez @ MI for substituting #=20 = 10 because 20+ 10+ 10 =40 CDA 5 because 104545 =20 Al for obtaining and solving for Al ford=5 and solving for 0 10 M1 for substituting 0=10 4 b)(@) Child just added the numerators of the 2 fractions and wrote the sum as the numerator of the answer or sum; and the child again added the denomjaators of the two fractions and recorded the sum as the denominator in the answer or sum, w@ | 30a will find the LOM of the denominators of = and > to get 10 I will express each of the fractions with 10 as the denominator to'get (or any multiple of 10 as denominator) 1 1 mark /3 mark 1 4 Fmark/> mark % 1 1 Fark /} mark 3-5 angias 5” 10 2~ 10 645 2 amare /2 1 will now add the like fractions to get 75 + +5 qmark/; mark i Bae 1 mark This means that et 3775 Page 3 of 3HOW PREPARED AM 1? PLEASE SHOW WORKING DURATION:1HR:30 MINUTES In a class of 28 pupils, seven attend the mathematics dub after school. What percentage of the class do not attend the mathematics clubafter school? Q9G-Q = a) feo 4 ed - ms, 2.A teacher took a group of visiting French pupils to a theme park. £ f ‘The total entrance cost for the group was 260 euros. Taking 1.3 euros as equal to one pound, what was the total’ entrance cost in pounds? - Be - poe re 3.There are 25 pupils in a class who take part in a drinking milk initiative. Pupils have 2 210 millilitre glass each. During the 28x plo > S250 S450 Lon HIE break each pupil drinks a full glass of milk, Milk comes in 1000 millilitre bottles, How many bottles of mitk are needed? 4.What is three point zero two five multiplied by two hundred? g-02S¢ Moo = b0S 5.A school day starts at 8: 50 with a ten-minute registration period. Before lunch, there are three lessons which are each fifty-five minutes and one fifteen-minute break. Lunch is one hour. What time does lunch finish? Give vour answer using the 24-hour clock.6.0n the last day of school, pupils wore allowad to bring some snacks to share with each other. 5 pupils brought 3 apples each, 6 pupils brought 2 bananas each, and 3 pupils brought 4 nectarines each. How many pieces of fruit were there to share? atx'h ois ao bx a 2) BxYEIY ps AID eeu 2) are 7.1n a mathematics challenge for charity, pupils were solving arithmetic problems. In one hour, all the pupils correctly answered 3700 questions. The university that was sponsoring the challenge said that they would pay 70p for each correctly answered question. How much money did the charity receive in pounds? B1e~ L Jor = USIOr 8.There are 80 pupils in Year 5 ina local primary school, Thirty-two of these pupils have at least one sibling in the same school. - What proportion of the year group has at least one sibling in the school? Give your answer as a decimal to one decimal place. Spor 62 = Boe & 6 2 OF pF, Ge 9.Pupils travelled to the Football Competition Final and returned to the school by coach. A one-way journey was 160 kilometres long. iigee Let 1 kilometre be equal to ¢ aw of a mile, How many miles did the coach travel that day with the pupils? => 9x2. Gro > Sox s eons 3 B10,In a class of thirty pupils, seventy per cent of the pupils have a 100% attendance, How many pupils have 100% attendance? 11.A pupil in a Year 7 class has a reading age of 12 years and 2 months. Exactly a year ago his reading age was lower by 17 months. ‘What was the pupil's reading age In years and months a year ago? 12.There are twenty-eight pupils ina class, Four-sevenths of " the class are girls. A quarter of the girls have blue eyes. ) it fraction of the cla cls with bl 5? What 85 are girls with blue eyes Nas Give your answer in its lowest terms. 13.Aclass of 27 pupils is going to the museum with S adults, (teachers/parents). The table shows admission prices to the museum. [Chid (single) _ JAdult (single) _|_£#.00 [Group (10 children [£45.00 + Zadults) : What Is the smallest amount they have to pay as the admission fee to the museum? 14,Children are at school from 9: 00 to 15: 15, They have two breaks: the first one is 20 minutes and the second one, the lunch break, is 40 minutes. ‘What Is the percentage of a school day allocated to breaks? qiov , lls poe, IST. * a15.At the final school rugby match, the ratio of children to adults is 3:2. There are 120 children in the crowd. Each adult ticket costs £9. Each child ticket costs a third of the adult ticket. How much money was collected from the ticket sale? 16.Six pupils from year 6 were training for a 400 metre run for a competition between the primary schools in a borough. 17.There are sixteen pupils in a group. 15 pupils collected, on average, £12.40 each. The last pupil collected £13.68. Calculate the new mean amount of money collected by one pupil.48.Three pupils were drawing triangles. The table shows the dimensions of these triangles. The area of a triangle is given by 3x base x height. ‘What is the total area of three triangles? Give your answer correct to two decimal places. 19.The results for Maths and English tests are presented in the table for ten pupils. Grcle the letters in the table for the pupils who scored at least 10 percentage points less in English than in Maths. Pupils’ marks out of 50 Pupil| Maths | English . A 32 22 oe B 43 48 c | 31 27 “& D 27 29 E 23 17 F 35 33 G 15 11 H 13 13 1 37 25 J 9 4“w 20.The results for Maths and English tests are presented in thet table for ten pupils. Pupils' marks out of 50 Pupil| Maths | English A 32 22 B 43 48 c 31 27 D 27 29 E 23 17 F 35 33 G 15 11 H 13 13 1 37 25 J 9 4 What fraction of pupils did better in English than they did in Maths? Give your answer in its lowest terms. GOOD LUCK TUTOR MR IBRAHIM (0243772686)4 ® i Bd Cott crt bs bites bee) 0 Be hyn Ge ae las. StL Sohal tasbnle,ae) idet poet shezfate\ by ae SP IG AAAS) SF SP aye 39 psc of Fep S + lle “pe tbo rete of p leo Texe iG ante BO 4 Bot cleczmats 1 OFF————— Shans 7 Watof / f as ss Aug eh Af ul r , PT Apdutte \ \ ‘ oP flor > L500 Wwe Werke po {or uv? wD ” “4 nungiv CY ey £1 calho 2 1-20.57 Dads 2 Se! aati fe (az Lean) 4 (Oy 29) 404 Tors) gees Fe AIL Cay Zor - f (22.50 tims 9:68 (SF LE (5 monte Qo Minde «fo Marnutes Dol yo = Go nti a xin 22 (C rd