Numeracy Practice Test Questions, Summaries of Reasoning

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LITERACY AND NUMERACY

TEST FOR INITIAL TEACHER

EDUCATION STUDENTS

Numeracy

Practice Test

Questions

Tutorial

This 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 the

test.

The number of questions is shown in a panel at the top of the screen. When you

have answered a question, the box containing the question number will change to black. You can use the panel at the top of the screen to go back and change an

answer, or answer a question you have missed.

The questions are presented in sets with a common theme or text. The name of the

set of questions is shown underneath the panel of question numbers at the top of the

screen. For example, this set is called Tutorial. The number of questions in each set

is 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.

For 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. 8 B. 10 C. 65 D. 120

For this type of multiple-choice question, you need to click on one option in each row.

You can change your answer by clicking on a different option.

If you miss any rows, a pop-up box will alert you that the answer to the question is incomplete.

Are the statements below true or false?

Click on 'True' or 'False' for each statement.

Statement True False

For this kind of question you need to click one option in each row. T F The question number in the panel at the top of the screen will change to black only if you have fully answered the question.

T F

You will have 120 minutes to do the test. T F

For questions with an answer space, you need to type your answer.

You can change your answer by deleting it and entering a new answer.

Almost all numeracy questions require a numeric response only. For these questions, if you try to enter a non-numeric response, a pop-up warning will be given and the non-numeric response will not be saved. For example, you should not enter words or units of measurement (e.g. $, %, metres, hours) where units are given before or after the answer space. You should not write your answer as a complete sentence.

How many cents are in one dollar?

cents

Section 1: Calculator Available

Gym Membership

This table shows different levels of gym membership.

Level Joining fee Monthly fee Basic $20 $ Bronze $30 $ Silver $40 $ Gold $50 $

What is the total cost for the first year of a Silver membership?

$

2

Which formula shows how to calculate the total cost for n months, where n is any number?

A. Joining fee + Monthly fee + n B. Joining fee + (Monthly fee × n ) C. (Joining fee + Monthly fee) × n D. Joining fee + (Monthly fee × 12 × n )

3

Sam 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?

$

Infographic

This infographic shows some statistics about people in Australia from the 2016 census.

Based on Australian Bureau of Statistics data, 2016

4

Below are some statements about the infographic.

Click on 'True' or 'False' for each statement.

Statement True False

More than 12 million people in Australia in 2016 were male. T F The number of people aged 15 years and over was more than 5 times the number of people aged 14 years and under.

T F

Approximately one-third of people were not born in Australia. T F

Surfboard Hire

A surf shop has surfboards for hire at $15 per hour (or part of an hour) up to a maximum of $60 per day.

Running Distance

A 3000-metre running course has three drink stations.

The distances between the start and station 1, between the stations themselves, and between station 3 and the finish, are all equal.

7

What is the distance between each drink station?

metres

What is the cost of hiring a surfboard from 9:30 am to midday on the same day?

$ __

__

Canteen Time

The 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 of students 0 – <2 8 2 – <4 26 4 – <6 59 6 – <8 46 8 – <10 35 10 – <12 4 12 – <14 3 14 – <16 2

How many students waited for at least 10 minutes?

Below are some statements about the table.

Click on ‘True’ or ‘False’ for each statement.

Statement True False

The median waiting time was in the interval 4-<6 minutes. T F The mean waiting time can be estimated by dividing the total waiting time by 8. T^ F

Below are some statements about the graphs.

Click on 'True' or 'False' for each statement.

Statement True False

In 2018, more than three-quarters of the students at the school were located in the two highest quarters.

T F

The distribution of students at the school across the quarters was more similar to the Australian distribution in 2012 than in 2018.

T F

The number of students at the school in the upper middle quarter decreased from 2012 to 2018.

T F

Electronic Devices

In a study of how the use of electronic devices in class affected achievement, some students were allowed to use electronic devices while others were not.

This graph shows the percentage of correct student responses on three types of assessment: classroom quizzes, a unit exam and a final exam. Non-overlapping error bars indicate significant difference.

Adapted from: International Journal of Experimental Educational Psychology, 2018

11

Below are some statements about the graph.

Click on 'True' or 'False' for each statement.

Statement True False

For the final exam results, students who were not allowed to use electronic devices in class achieved a higher percentage of correct responses than students who were allowed to use electronic devices.

T F

For students who were not allowed to use electronic devices in class, the percentage of correct responses on the unit exam was more than double the percentage of correct responses on classroom quizzes.

T F

Significant differences in achievement between the two groups of students were found only on the final exam.

T F

Infection Model

This is a simple example of how people in a community might become infected with a disease.

One infectious disease has a reproduction rate of 20%.

For example, if a person with the disease encounters 10 people while infected, then 2 people (20% of 10 people) are likely to be infected.

However, with a vaccination rate of 50%, where 50% of the 10 people are vaccinated against the disease, then only 1 person (20% of 5 people) is likely to be infected.

Adapted from: Quantamagazine, 2018

14

A 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 to be infected?

Pasta Information

This is part of the information on a 500 gram packet of pasta.

Servings per pack: 3

Serve size: 167 g

Nutrient Average quantity per serve

Average quantity per 100 g Fat Total 0.3 g 0.18 g Saturated 0.03 g 0.02 g Sodium 668 mg 400 mg

Note: amounts have been rounded

15

Using the information per serve , what percentage of the total fat is the saturated fat?

%

16

The National Health and Medical Research Council (NHMRC) has set an ‘adequate intake’ of 460–920 mg of sodium per day.

Below are some statements about the information provided.

Click on 'True' or 'False' for each statement.

Statement True False

The amount of sodium in two serves of the pasta exceeds the maximum NHMRC daily ‘adequate intake’.

T F

The maximum NHMRC daily ‘adequate intake’ of sodium is less than one gram.

T F

NAPLAN Results

This graph shows the percentage of Year 3 students at a selected school in each of six 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 Reporting Authority (ACARA), 2018

19

Below are some statements about the graph.

Click on 'True' or 'False' for each statement.

Statement True False The difference between the total percentage of students at the selected school who are in Bands 5 or 6, and the total percentage of students at schools with similar students who are in Bands 5 or 6, is more than 10%.

T F

More than one-third of the Year 3 students in schools with similar students have Reading scores in Band 4 or below.

T F

Casual Teacher

In 2019, casual relief teachers in one state are paid $60.78 per hour, before tax. The rate of pay is also applied on a pro-rata basis (proportionally) for part of an hour.

20

A teacher begins a casual relief position at a school at 8:45 am and finishes at 12: pm on the same day.

How much will the teacher be paid, before tax?

$