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QTS Numeracy

Numeracy Test for Initial Teacher Education students

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Teachers organized activities for three classes of 24 pupils and four classes of 26 pupils. What was the total number of pupils involved?

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As part of a science lesson, pupils were asked to stretch a spring to extend its length by 25 per cent. The original length of the spring was 30 centimetres. What should be the length of the extended spring? Give your answer in centimetres.

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A parents’ evening was planned to start at 15:45. There were 20 consecutive appointments of 10 minutes each and a break of 15 minutes during the evening. At what time was the parents’ evening due to finish? Give your answer using the 24-hour clock.

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For a science experiment a teacher needed 80 millilitres of vinegar for each pupil. There were 30 pupils in the class. Vinegar comes in 1000 millilitre bottles. How many bottles of vinegar were needed?

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The morning session in a school began at 09:25. There were three lessons of 50 minutes each and one break of 20 minutes. At what time did the morning session end? Give your answer using the 24-hour  clock.

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In a class of 24 pupils, 4 need additional support. What fraction of the class needs additional support? Give your answer in its lowest terms.

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A school has 203 pupils in Year 7. All pupils in the year group are provided with a free dictionary. If dictionaries come in boxes of 16, how many boxes are needed?

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All 30 pupils in a class took part in a sponsored spell to raise money for charity. The pupils were expected to get an average of 14 spellings correct each. The average amount of sponsorship was 20 pence for each correct spelling. How much money would the class expect to raise for charity altogether? Give your answer in  pounds.

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Pupils raise £60 for charity through a sponsored run. They decide to donate the money to the charities ‘Water Aid’ and ‘Oxfam’ in the ratio 3:2. How much will be donated to ‘Water Aid’?

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A teacher took a group of pupils to an aquarium whilst visiting France. The total entrance cost for the group was 220 euros. Taking 1.10 euros as equal to 1 pound, what was the total entrance cost, in  pounds, for the group of pupils?

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To inform her choice of reading materials a primary teacher looked at the spread of reading ages in her class. The scatter-graph shows the actual age and reading age of 21 pupils in the class. Use the information on the scatter-graph to help answer questions a) to c) below

  1. a) What fraction of the class has a greater reading age than their actual age?

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To inform her choice of reading materials a primary teacher looked at the spread of reading ages in her class. The scatter-graph shows the actual age and reading age of 21 pupils in the class. Use the information on the scatter-graph to help answer questions a) to c) below

  1. b) What is the age of the oldest pupil in the class?

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To inform her choice of reading materials a primary teacher looked at the spread of reading ages in her class. The scatter-graph shows the actual age and reading age of 21 pupils in the class. Use the information on the scatter-graph to help answer questions a) to c) below

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The graph below shows the teacher assessments for the percentage of pupils achieving Level 4 or above at Key Stage 2 in a primary school. Use the graph to decide which of the following statements are true for achievement at Level 4 or above:-

  1. The percentage of pupils achieving Level 4 or above in English has increased for each year shown

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The graph below shows the teacher assessments for the percentage of pupils achieving Level 4 or above at Key Stage 2 in a primary school. Use the graph to decide which of the following statements are true for achievement at Level 4 or above:-

  1. In 2011, 77% of pupils achieved Level 4 or above in Maths

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The graph below shows the teacher assessments for the percentage of pupils achieving Level 4 or above at Key Stage 2 in a primary school. Use the graph to decide which of the following statements are true for achievement at Level 4 or above:-

  1. The median average percentage for Science achievement in this period is 77%

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A PE teacher orders 30 new bibs costing £3.99 each. What is the total cost of these bibs?

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A school trip was planned at a total cost of £120 per pupil. The accommodation cost three fifths of the total. What was the cost of the accommodation per pupil?

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At a staff meeting the Headteacher presented the following table, showing the number of pupils in each class in a school who are having Numeracy support lessons. What percentage of pupils in the school is having Numeracy support lessons?

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A teacher takes 2 hours and 20 minutes to mark twenty Literacy test papers. What is the mean time  spent on each paper? Give your answer in minutes.

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A teacher is planning a trip to see a play in a nearby city. She has been given details of costs and travel. There are 20 pupils in the group. Group booking for 20 theatre tickets costs £160, return train tickets cost £6 each. How much will each pupil have to pay for the outing to cover the cost of travel and a theatre ticket?

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A pupil’s mean average GCSE points score is calculated by dividing their total points gained across all subjects by the number of GCSE examinations taken. The table below shows all of Kate’s results in

  1. Use the table to help calculate Kate’s mean GCSE points score giving your answer correct to 1 decimal place.

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EDUCATION EXPENDITURE

Government operating expenditure on education refers mainly to money spent on schools and tertiary education. Of the total operating expenditure on education in 2011–2012, 51% was spent on primary and secondary education and 36% on tertiary education (universities and TAFEs). What percentage of the total operating expenditure on education in 2011–2012 was spent on the remaining aspects of the education budget?

_____________________________%

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For a 12-month ‘Gym and Swim’ membership, how much more does it cost to pay by monthly debit rather than upfront?

$___________________

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Angela is driving south along Bruce St (reference A1). Which of these directions would lead Angela to Beckett Primary School? Select ‘Yes’ or ‘No’ for each set of directions.

Go right into Kenny St, right into Power St, right into Allen St.

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Angela is driving south along Bruce St (reference A1). Which of these directions would lead Angela to Beckett Primary School? Select ‘Yes’ or ‘No’ for each set of directions.

Go east into Kenny St, south into Power St, east into Allen St.

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Angela is driving south along Bruce St (reference A1). Which of these directions would lead Angela to Beckett Primary School? Select ‘Yes’ or ‘No’ for each set of directions.

Go east into Kenny St, across Power St, south into Conway St, right into Allen St.

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The side-length of each grid square is 400 metres.

Which of these values is closest to the area of Beckett Primary School in square metres?

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The science subject has three assessment tasks. Each task is weighted as follows:

Assessment Task 1: weight 60%

Assessment Task 2: weight 30%

Assessment Task 3: weight 10%

Alex’s result for each task was:

Assessment Task 1: 70%

Assessment Task 2: 80%

Assessment Task 3: 90%

What is Alex’s award for science?

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The table below contains statements about the graphs. Select ‘True’ or ‘False’ for each statement.

On school days, the highest percentage of children playing sport at any one time is less than 25%.

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At any given time on a non-school day, approximately 90% or more of children were not playing sport.

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At 5 pm, fewer children were playing sport on school days than on non-school days.

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VET COURSES

A secondary school offers one-year Vocational Education and Training (VET) courses. Courses may be taken at one of three levels: Certificate I, II or III. Students may enrol for only one certificate within each school year. This table compares the number of students enrolled in one of the courses with the number of students who completed a qualification in that course.

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BAND ACHIEVEMENT

This graph shows the percentage of Year 3 students in six achievement bands for reading, for a selected school.

It also shows comparable percentages for statistically similar schools and for all Australian schools.

The table below contains some statements about the graph. Select ‘True’ or ‘False’ for each statement.

A higher percentage of Year 3 students at the selected school achieved at Band 4 compared to students at statistically similar schools.

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The table below contains some statements about the graph. Select ‘True’ or ‘False’ for each statement.

At the selected school, more Year 3 students achieved at Band 4 than at any other band.

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The table below contains some statements about the graph. Select ‘True’ or ‘False’ for each statement.

A greater percentage of the Year 3 students at the selected school achieved above Band 3 compared to Year 3 students at statistically similar schools.

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ONE HUNDRED BOXES

The weight of a box of stationery is 3.2 kilograms. What is the weight of 100 such boxes?

_______________kilograms

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GEOGRAPHICAL DISTRIBUTION OF AUSTRALIANS

The Australian Bureau of Statistics conducts a census every five years. In 2011, the population of Australia was 22 million.

About 2% of these people lived in remote or very remote areas.

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Multiply: (x – 4)(x + 5)

Your score is

The average score is 0%

0%

1
Created on By nhsadmin

QTS Literacy

Literacy Test for Initial Teacher Education students

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LITERACY SAMPLE QUESTIONS 1 TO 6

Questions 1 to 6 relate to the passage Change in Schools.

CHANGE IN SCHOOLS

This text is taken from the introduction to Dancing on a Shifting Carpet: Reinventing traditional schooling for the 21st century (2010). The contemporary context for schools is often referred to as ‘the knowledge era’ or ‘the knowledge society’, characterised by the constant creation and recreation of knowledge; the speed, complexity and interactivity of innovation; and the need for openness to new learning and new ways of thinking about and doing things. The level of change brought about by the knowledge era, and the pressures of other global and technological changes mentioned earlier, inevitably have an impact on schools. These pressures originate from both external and internal sources. There are external pressures on schools to fix the many social problems caused by rapid

change, and to prepare students to live and work in the knowledge society. There are also internal pressures within schools because their clientele – students and families – have changing expectations and needs. Within the wider external context, schools are seen as instruments of social change and are frequently expected to cure or avert many societal ills by, for example, providing sex and drug education; increasing students’ environmental awareness; educating young people in matters of health and engaging them in physical and emotional activities to improve their wellbeing and reduce obesity; and enhancing students’ commitment to social justice. Within schools, the formal academic curriculum has been expanded to meet the social and psychological needs of students. In increasingly fragmented societies, schools are expected to be havens of peace, safety and stability, while still meeting the academic standards set by governments and the social and psychological expectations of families and communities. Teachers and other school leaders are expected to be constantly available and responsive to parents and their concerns, and schools are often held accountable for matters occurring outside regular school hours, which were traditionally the domain of parents and families. When mistakes happen at school, there is a tendency for parents to blame teachers and other school personnel, and to seek legal redress. All these factors have numerous implications for schools, not the least of which is that they need to change their forms of educational delivery to meet the needs of, and be relevant to, 21st century young people. Back in the late 1980s, Papert and Freire (n.d.) clearly foresaw the need for schools to change rapidly, even radically, if they were to remain vital to society:

... it is inconceivable that school as we’ve known it will continue. Inconceivable. And the reason why it’s inconceivable is that little glimmer with my grandson who is used to finding knowledge when he wants to and can get it when he needs it, and can get in touch with other people and teachers, not because they are appointed by the state, but because he can contact them in some network somewhere. These children will not sit quietly in school and listen to a teacher give them pre digested knowledge. I think that they will revolt. (Part 2)

The revolt may not have happened as yet, but the Australian Government is now talking about the need for a revolution in education and schools (Department of Education, Employment and Workplace Relations, 2008). The core of this ‘revolution’ focuses on the quality of teaching, the quality of learning and the quality of student outcomes. Conventional teaching and learning modalities are under widespread critique.

Literacy Sample Question 1

The changes in schools recommended in the text can best be summarized as

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Literacy Sample Question 2

According to the text, how do parents tend to respond to problems at school?

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Literacy Sample Question 3

... schools are expected to be havens of peace, safety and stability ... (paragraph 4)

According to the text, why is this more expected of schools today than in the past?

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Literacy Sample Question 4

Back in the late 1980s, Papert and Freire (n.d.) clearly foresaw the need for schools to change

rapidly, even radically, if they were to remain vital to society. (paragraph 5)

Which word in this sentence indicates that the writers endorse the position of Papert and Freire?

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Literacy Sample Question 5

How does the quotation from Papert and Freire relate to the rest of the text?

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Literacy Sample Question 6

Papert and Freire refer to the learning experience of a contemporary child (my grandson).

Do Papert and Freire identify the features listed below as part of this child’s learning experience?

Select ‘Yes’ or ‘No’ for each feature

immediacy:  Yes or No

diverse sources of information: Yes or No

respect for authority: Yes or No

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LITERACY SAMPLE QUESTIONS 7 TO 10

Questions 7 to 10 relate to a school history excursion, described in the following passage.

HISTORY EXCURSION

Our Year 9 students will be spending two weeks in a rural community to learn more about life there. Students will focus on issues that have affected these settlements over time. They will be given opportunities to meet and talk with local residents. Students will work on assignments designed to help explain their history. All students have been given explicit instructions about how to record their findings during the excursion.

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Literacy Sample Question 7

Which underlined reference in the text is ambiguous?

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Literacy Sample Question 8

All students have been given explicit instructions about how to record their findings during the excursion.  Which of the following is closest in meaning to explicit?

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Literacy Sample Question 9

Below are four versions of a sentence from a student’s assignment about the history excursion. Which version has acceptable punctuation?

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Literacy Sample Question 10

If the sentence below contains a spelling error, correct the error by writing the word as it should appear; if there is no error, write N. It is no exageration to say that the students’ insights into historical processes and social conditions were impressive.

Your score is

The average score is 9%

0%

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