# LITERACY AND NUMERACY TEST FOR INITIAL TEACHER

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LITERACY AND NUMERACYTEST FOR INITIAL TEACHEREDUCATION STUDENTSNumeracyPractice TestQuestions

TutorialThis tutorial will help you to navigate the numeracy test that you are about to do.There are 65 questions in the numeracy test. You will have 120 minutes to do thetest.The number of questions is shown in a panel at the top of the screen. When youhave answered a question, the box containing the question number will change toblack. You can use the panel at the top of the screen to go back and change ananswer, or answer a question you have missed.The questions are presented in sets with a common theme or text. The name of theset of questions is shown underneath the panel of question numbers at the top of thescreen. For example, this set is called Tutorial. The number of questions in each setis also shown at the start of the question prompt region. For example, Tutorial:question 1 of 4.You are now going to practise answering different types of questions.Answer the question and then click on 'Next' to continue.1For multiple-choice questions, you need to click on one of the options.You can change your answer by clicking on a different option.How many numeracy questions are there?A.B.C.D.810651202

Section 1: Calculator AvailableGym MembershipThis table shows different levels of gym membership.LevelJoining feeMonthly feeBasic 20 10Bronze 30 15Silver 40 20Gold 50 251What is the total cost for the first year of a Silver membership? 2Which formula shows how to calculate the total cost for n months, where n is anynumber?A.B.C.D.Joining fee Monthly fee nJoining fee (Monthly fee n)(Joining fee Monthly fee) nJoining fee (Monthly fee 12 n)3Sam is considering joining the gym and paying for a 3-month membership.How much more would Sam pay at Gold level compared to Basic level? 5

InfographicThis infographic shows some statistics about people in Australia from the 2016census.Based on Australian Bureau of Statistics data, 20164Below are some statements about the infographic.Click on 'True' or 'False' for each statement.StatementTrue FalseMore than 12 million people in Australia in 2016 were male.TFThe number of people aged 15 years and over was more than 5 timesthe number of people aged 14 years and under.TFApproximately one-third of people were not born in Australia.TF6

5Which of the following values is closest to the average yearly gross householdincome?Assume the weekly income is received for each week of the calendar year.A.B.C.D. 37 000 69 000 72 000 75 0007

Surfboard HireA surf shop has surfboards for hire at 15 per hour (or part of an hour) up to amaximum of 60 per day.6What is the cost of hiring a surfboard from 9:30 am to midday on the same day? Running DistanceA 3000-metre running course has three drink stations.The distances between the start and station 1, between the stations themselves, andbetween station 3 and the finish, are all equal.7What is the distance between each drink station?metres8

Canteen TimeThe Student Council at a school conducted a survey of waiting time at the canteen.This table shows the waiting time for 183 students.Waiting time(minutes)Number ofstudents0– 282– 4264 – 6596 – 8468 – 103510 – 12412 – 14314– 1628How many students waited for at least 10 minutes?9Below are some statements about the table.Click on ‘True’ or ‘False’ for each statement.StatementTrue FalseThe median waiting time was in the interval 4- 6 minutes.TFThe mean waiting time can be estimated by dividing the total waiting timeby 8.TF9

Socio-Educational AdvantageThe Index of Community Socio-Educational Advantage (ICSEA) measures therelative educational advantage of schools in Australia. Based upon familybackground data, the student population is distributed across four quarters.These two graphs show how the distribution of students has changed for a schoolbetween 2012 and 2018.The total number of enrolments at the school was 172 in 2012 and 495 in 2018.Adapted from: MySchool website, ACARA, 201810

10Below are some statements about the graphs.Click on 'True' or 'False' for each statement.StatementTrue FalseIn 2018, more than three-quarters of the students at the school werelocated in the two highest quarters.TFThe distribution of students at the school across the quarters was moresimilar to the Australian distribution in 2012 than in 2018.TFThe number of students at the school in the upper middle quarterdecreased from 2012 to 2018.TF11

Electronic DevicesIn a study of how the use of electronic devices in class affected achievement, somestudents were allowed to use electronic devices while others were not.This graph shows the percentage of correct student responses on three types ofassessment: classroom quizzes, a unit exam and a final exam. Non-overlappingerror bars indicate significant difference.Adapted from: International Journal of Experimental Educational Psychology, 201811Below are some statements about the graph.Click on 'True' or 'False' for each statement.StatementTrue FalseFor the final exam results, students who were not allowed to useelectronic devices in class achieved a higher percentage of correctresponses than students who were allowed to use electronic devices.TFFor students who were not allowed to use electronic devices in class, thepercentage of correct responses on the unit exam was more than doublethe percentage of correct responses on classroom quizzes.TFSignificant differences in achievement between the two groups ofstudents were found only on the final exam.TF12

Sport DayA teacher is organising an inter-school sport day. There are 8 teams in thecompetition.Each team must play one game against each of the other teams.12The following formula can be used to determine the total number of games.What is the total number of games?13The teacher uses a systematic method to ensure that each team plays each otherteam once. These tables show the four games for each of the first three rounds.Round 1Game 1Game 2Game 3Game 4Team 1Team 2Team 3Team 4Team 8Team 7Team 6Team 5Game 1Game 2Game 3Game 4Team 1Team 8Team 2Team 3Team 7Team 6Team 5Team 4Game 1Game 2Game 3Game 4Team 1Team 7Team 8Team 2Team 6Team 5Team 4Team 3Round 2Round 3Continuing the method, which team plays Team 7 in Round 4?Team13

Infection ModelThis is a simple example of how people in a community might become infected witha disease.One infectious disease has a reproduction rate of 20%.For example, if a person with the disease encounters 10 people while infected, then2 people (20% of 10 people) are likely to be infected.However, with a vaccination rate of 50%, where 50% of the 10 people are vaccinatedagainst the disease, then only 1 person (20% of 5 people) is likely to be infected.Adaptedfrom: Quantamagazine, 201814A highly infectious disease has a reproduction rate of 60%.If the vaccination rate is 95%, how many people in a population of 1000 are likely tobe infected?14

Pasta InformationThis is part of the information on a 500 gram packet of pasta.Servings per pack: 3Serve size: 167 gNutrientAverage quantity perserveAverage quantity per 100g0.3 g0.18 g0.03 g0.02 g668 mg400 mgFatTotalSaturatedSodiumNote: amounts have been rounded15Using the information per serve, what percentage of the total fat is the saturated fat?%16The National Health and Medical Research Council (NHMRC) has set an ‘adequateintake’ of 460–920 mg of sodium per day.Below are some statements about the information provided.Click on 'True' or 'False' for each statement.StatementTrue FalseThe amount of sodium in two serves of the pasta exceeds the maximumNHMRC daily ‘adequate intake’.TFThe maximum NHMRC daily ‘adequate intake’ of sodium is less than onegram.TF15

Pre-test Post-testFive classes in one Year level studied the same topic. The students completed apre-test at the beginning of the topic and a post-test at the end of the topic.This chart shows the mean scores for each class. Most classes showed higher meanscores on the post-test.17Which class showed the greatest increase from mean pre-test score to mean posttest score?A.B.C.D.E.Class AClass BClass CClass DClass E18How many classes showed increases of more than 10 between their mean pretest and post-test scores?classes16

NAPLAN ResultsThis graph shows the percentage of Year 3 students at a selected school in each ofsix Bands on the National Assessment Program – Literacy and Numeracy (NAPLAN)Reading test, compared to schools with similar students.Adapted from: MySchool website, Australian Curriculum, Assessment and ReportingAuthority (ACARA), 201819Below are some statements about the graph.Click on 'True' or 'False' for each statement.StatementTrue FalseThe difference between the total percentage of students at the selectedschool who are in Bands 5 or 6, and the total percentage of students atschools with similar students who are in Bands 5 or 6, is more than 10%.TFMore than one-third of the Year 3 students in schools with similarstudents have Reading scores in Band 4 or below.TF17

Casual TeacherIn 2019, casual relief teachers in one state are paid 60.78 per hour, before tax. Therate of pay is also applied on a pro-rata basis (proportionally) for part of an hour.20A teacher begins a casual relief position at a school at 8:45 am and finishes at 12:15pm on the same day.How much will the teacher be paid, before tax? 18

Excursion StaffAt a pre-school there are 2 educators and 22 students.They are planning an excursion to the local park.For the excursion, a ratio of at least one adult to every 3 students is required.21What is the smallest number of additional adults that are required for the excursion?Parliament MembersThis table shows the number of members of the Senate and the House ofRepresentatives in each jurisdiction of Australia.Number of members ofNumber of members ofJurisdictionthe House ofthe SenateRepresentativesNew South Wales1247Victoria1238Queensland1230Western Australia1216South Australia1210Tasmania125Australian Capital Territory23Northern Territory22Total7615122The population of Queensland is approximately 5 million people.In Queensland, what is the average number of people represented by each memberof the House of Representatives?Round your answer to the nearest thousand.19

Paint PurchaseA teacher purchases a bulk pack of twelve 2-litre bottles of paint.The pack normally sells for 210 but the teacher receives a 5% discount on thepack.The teacher also buys three extra bottles at the regular price of 17.95 each.23What is the total cost of the teacher’s purchase? 20

Year 12 ResultsThis table shows Year 12 enrolments and a summary of the results for three schools.Percentage ofNumber ofSchoolsMedian scorescores of 40 andstudents enrolledover*School A853320School B1453424School C2122910*rounded to the nearest whole percent24Below are some statements about the table.Click on 'True', 'False', or 'Not possible to determine' for each The student with the highest score was enrolled atschool B.TFNThe number of students at school A with scores of 40and over is two times the number of students at schoolC with scores of 40 and over.TFN21

Garden BedThis diagram shows two views of the frame of a square garden bed.25The cost of each plank is 15.What is the total cost of the planks needed to make the frame? 26The dimensions of each plank are: length 2.4 mwidth 0.2 mthickness 0.05 mWhich of these is closest to the volume of the soil needed to fill the frame of thegarden bed?A.B.C.D.E.1 cubic metre2 cubic metres4 cubic metres6 cubic metres10 cubic metres22

Weather ForecastThis is the forecast for Smithstown.27Below are some statements about the forecast.Click on 'True' or 'False' for each statement.StatementTrue FalseOn the day of the forecast, the chance of rain in Smithstown is less thanthe chance of no rain in Smithstown.TFIf 3 mm of rain falls in Smithstown on the day of the forecast then theforecast was inaccurate.TF23

Pasta MassA food guide for secondary school camps includes the following advice:For pasta meals, use 120 grams of dried pasta per person.28A group of 22 students and 3 adults attend a school camp.Howmuch dried pasta, in kilograms, is required to make one meal for everyone?HkilogramsTest MeanA teacher gives the same test to two different classes and summarises thetest scores in a table.Number ofstudentsMinimumMaximumRangeMeanClass A201419517Class B221118713Class29What is the range of the scores if the scores from both classes are combined?24

Reported BandsThis graph shows how the National Assessment Program – Literacy andNumeracy (NAPLAN) reports student achievement in Years 3, 5, 7 and 9.Adapted from: MySchool website, Australian Curriculum, Assessment and ReportingAuthority (ACARA), 201830Below are some statements about the graph.Click on 'True' or 'False' for each statement.StatementTrue FalseThe National Minimum Standard for Year 3 is Band 2.TFThere are two bands that are common to the four Year levels.TFFrom each Year level to the next Year level, only one new band isreported and only one previous band is not reported.TF25

Food DyeFood dye comes in 4 colours: red, blue, yellow and green.This table shows how to make additional colours by combining drops in the correctproportions.RedBlueOrange1Purple31Dark Green14YellowGreen2Lime Green13Aqua2Orchid511131Which colour is made by combining 4 drops of blue and 2 drops of green?A.B.C.D.purpledark greenaquaorchid321A recipe calls for 4 teaspoon (20 drops) of lime green.How many drops of yellow are needed?26

Fundraising ReportThis summary of a school’s fundraising achievements was included in thenewsletter.It has been a fabulous year of fundraising, with 12,000 raised in total byour school community. The total includes 600 raised from lunch events, 4000 from the craft and baking stalls, 2400 from the Trivia Night, 2000from school discos plus thousands of dollars from other events. Well doneto our group of hardworking volunteers!33Below are some statements about the summary.Click on 'True' or 'False' for each statement.StatementOne-quarter of the total amount raised was from ‘other events.’Exactly 30% of the total amount raised can be attributed to the craft andbaking stalls.The amount raised from the Trivia Night was four times the amountraised from the lunch events.True FalseTFTFTF27

Timber CreekA teacher wishes to drive from Darwin to Timber Creek school.This map shows the distance and the estimated driving time for the route.34Which set of directions best describes the route?A.B.C.D.Drive south-east on Highway 1. At Katherine turn left and stay on Highway 1Drive south-west on Highway 1. At Katherine turn left and stay on Highway 1Drive south-east on Highway 1. At Katherine turn right and stay on Highway 1Drive south-west on Highway 1. At Katherine turn right and stay on Highway 128

35The teacher leaves Darwin at 8:30 am and drives for 3 hours and 10 minutes toKatherine. After a 45 minute rest-stop, the teacher leaves Katherine for TimberCreek.When should the teacher arrive at Timber Creek?A.B.C.D.3:35 pm4:20 pm5:35 pm6:20 pm29

Real Estate PricesThese tables show the prices of 8 houses and 11 units sold in a regional city in onemonth.The prices have been ordered from lowest to highest and rounded to the nearest tenthousand dollars.House prices 300,000Unit prices 260,000 320,000 270,000 330,000 280,000 340,000 280,000 360,000 280,000 380,000 290,000 410,000 290,000 790,000 300,000 300,000 320,000 340,00036Below are some statements about the prices.Click on ' True' or 'False' for each statement.StatementTrue FalseThe range of the house prices is more than five times the range ofthe unit prices.TFThe median house price is 60,000 more than the median unit price.TF30

Step ChallengeTwo students at a school participate in a step challenge to raise money for charity.They record the number of steps they walk each day for one 10-week term.This table shows the steps they have recorded at the end of week 6 (42 days).NameTotal number of stepsGabrielle262 000Shay366 00037Gabrielle wants to reach a total of 500 000 steps at the end of week 10.What is the average number of steps Gabrielle will need to walk each day for thenext 4 weeks (28 days) to reach her goal?steps each day38Shay is sponsored at 1 for every 1000 steps he walks during the cha

Round 3 Game 1 Game 2 Game 3 Game 4 Team 1 Team 7 Team 8 Team 2 Team 6 Team 5 Team 4 Team 3 Continuing the method, which team plays Team 7 in Round 4? Team . 14 Infection Model This is a simple example of how people in a community might become infected with a disease. O

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