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This test has 40 questions and should be finished within 40 minutes.

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There are 40 questions in this digital test. For each question there are four possible answers, A, B, C, and D. Choose the one correct answer and continue to the next question

You will not lose marks for incorrect answers, so you should attempt all 40 questions.

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“Out of all wolf species, the grey adult wolf has the largest fangs. They can grow to be up to 6-7 cm long. However, if their fangs are longer than 7.5 cm, that particular wolf suffers from either Slonger’s disease or Libel’s disease.” Kane: This animal tooth measures up to 8 cm in length! This animal must be an adult grey wolf suffering from either Slonger’s or Libel’s disease. Abby: After an examination, this grey wolf’s fangs measure up to 9 cm, but it does not have Slonger’s disease. Hence, it must have Libel’s disease.

If the quoted passage above is true, whose reasoning is correct?

Being humble about your abilities is more attractive than improving your skills in any area of life. Possessing superior skills may attract recognition in the short term, but humility , regardless of your skills, will always attract admiration from others in the long term. Notably , an unskilled but humble sportsperson is more desirable than a highly skilled but arrogant and boastful sportsperson.

Which of the following, if true, most strengthens the above statement?

Jemima folds a square piece of paper, as shown below. She then cuts out exactly 2 shapes from the folded piece of paper.

Which of the following could NOT look like the piece of paper once unfolded?

Each product made by Jimmy’s store lasts 2 years at maximum. All products made by Peter’s store will last anywhere between 1 to 3 years.

Linda: Our television, which was from either Jimmy’s or Peter’s store, stopped working after 3 months, so it must have been a product from Jimmy’s store.

Caitlin: Our radio set, which was from either Jimmy’s or Peter’s store, worked fine for the first year and a half after we bought it. So, it must be a product from Jimmy’s store.

If the quoted statements above are true, whose reasoning is correct?

The Zhao family has 4 children, Lisa, Lauren, Luke, and Lachlan. They all have their bedrooms,which vary in size. Luke's room is 1.5 times bigger than Lauren's room.Lisa’s room is half the size of Luke's room. Lachlan's room is twice the size of Lauren's room.

If Lachlan's room is 32 square metres, how big is Luke's room?

William and Fred are engineers who are working on the same project. They have an upcoming presentation they need to present in a few weeks. They agreed to meet several times in the coming weeks to work on it. They decide to meet up for an equal amount of time each session, except for their last session, where they will meet for 5 hours, which is 2.5 times their usual time.

How often did they meet if they were together for 21 hours?

Mr. Peterson has written in the school newspaper, asking parents to give their children coffee in the morning before school because the number of students falling asleep during class is increasing daily, which is ill-mannered and disrupts the class . He says that children need extra energy to concentrate for the entire school day, just like adults who drink coffee to stay awake while working.

Which of the following, if true, most weakens Mr Peterson’s argument?

In a cooking competition, contestants enter and participate in pairs. However, halfway through the competition, there is a special elimination round. In this round, judges pick one of the following cooking sections - entrees, main meals, or desserts - and the partners are pitted against each other. If the judges determine one partner is better than the other in that cooking section, the better partner will stay while the other is eliminated.

Alice: My partner Rosalie cannot cook desserts as well as I do, so she will be eliminated from the 2 of us in the elimination round.

If the quoted passage above is true, which of the following identifies the flaw in Alice’s reasoning?

Three different shapes are shown below:

Which one of the following arrangements cannot be made by putting these three shapes together?

Averil is a young artist who delivers meaningful songs about the youth in society. One of her latest songs is from a mother’s mindset about dealing with her rude teenage daughter. Its lyrics are about the values of respect and politeness.

Brianna: “ My younger sister has become more annoying and ruder to the people around her, especially older people like our parents. She has to start listening to Averil's music, or her behaviour will become unbearable, and her personality will change for the worse.”

If the above passage is true, which of the following is NOT an assumption in Brianna’s reasoning?

Six friends, Anna, Betty, Celeste, Daniel, Eric, and Fred, were each placed in a separate room with a hidden number.

The layouts of the rooms are shown below:

The following is known about the rooms:

Who is in room 6?

The paint and wallpaper packages at a paint store are shown below, along with their details.

Jon wants to move into his new two-floors home next week. He does not want wallpaper and does not mind buying two of the same package to cover his whole house.

If he wants to spend less than $7000, how many options does he have to choose from?

Sitting for hours on end is very bad for your muscles and blood circulation. Standing desks alleviate these issues while also allowing people to be more productive and get work done. They are especially beneficial for people who work long hours, such as university students or busy office workers, as they do not have as much time to move or be physically active otherwise.

Which of the following, if true, most weakens the above argument?

A Math professor recently developed an educational package containing various materials and instruments designed to assist students in university level mathematics. The teacher has managed to sell his packages off to most of the students attending his course and is beginning to gain attention from students from other courses. His mathematics package is claimed to be used by many of the Ph.D. students at his university.

Olivia: “ To do well in my upcoming Mathematics final exam, I should buy his new Mathematics Package.”

If the passage above is true, which of the following identifies an assumption in Olivia’s reasoning?

Below is the design of a bathroom tile:

What is the minimum number of squares that need to be further shaded so that there is a diagonal line of symmetry in any one direction?

Most small companies sell items individually, with occasional discounts on public holidays. However, multinational companies typically sell items in bulk, meaning purchasing a single package involves purchasing many of the same products. Thus, customers who want to spend less on products they buy often, such as toilet paper, should switch to shopping from multinational companies.

Which of the following states the assumption in the passage above?

“People who walk daily are less likely to contract lung disease than those who do not walk very often. However, anyone who smokes is much more likely to contract lung disease than anyone who doesn’t, regardless of other factors.”

Heather: All my uncles like to go on walks daily, except for my uncle Bob, who never goes on walks. Hence, he’s more likely than the others to contract lung disease.

If the quoted statements above are true, which of the following identifies the flaw in Heather’s reasoning?

Sharon is an artist. Her original artwork is priced based on its level of complexity. She also sells custom artwork at prices depending on how long it takes her to create them. Additional charges and discounts also apply. Her pricing can be found in the table below:

If Yosef bought an original and custom artwork and got a finish on both of them, what is the least amount of money he had to pay?

Many areas have practised “technology-free weekends”, where large communities refrain from technology use over the weekend and instead get together for activities to pass the time. As a result, these areas have reported less reliance on technology, which is better for our general health, and so all areas should practise “technology-free weekends” frequently.

Which of the following, if true, most weakens the above statement?

Tony stacked a few blocks on top of each other to build a tower. He then looked at it from the front and saw the following:

He then asked his friend Lauren to draw a view of his tower from the top.

Which of the following should Lauren draw?

Mrs Lori always encourages her students to pick up a musical instrument as a hobby. She believes playing an instrument improves a person’s verbal memory and general brain health, especially in the long term. By playing an instrument, they can take a break from studying, which can be very stressful, especially for senior students, by doing something more enjoyable.

Which of the following, if true, most weakens Mrs Lori's argument?

Thirty Year 5 students from Chelston Primary School went on an outing to 3 different museums in 3 different towns: Burraton, Dewsbury, and Warlington.

After the excursion, they were all asked to vote for their favourite town. The following data were collected: - No one did not vote - 5 people liked all the towns - 10 people only liked Burraton - 6 people only liked Dewsbury - 3 people only liked Warlington Given the above information, which of the following is impossible?

Miriam is in charge of filling up the community pool. The pool has a capacity of 40,000 L. She finds some hoses that can each pump 100 L of water into the pool per hour.

How many hoses did she use if she wanted to fill up the pool in 10 hours?

Michael lives in Ansville, and Brandon, his friend, lives in Birmington. The path between their houses is 16 kilometres long. They decide to meet one day along the path. Michael starts walking towards Birmington at 11 AM at a pace of 3 km/hr, and Brandon departs for Ansville half an hour later but walks 1 km/hr faster than Michael.

Approximately what time will they meet?

What is the point of spending time and effort learning things when you can look them up on the internet? Even doctors now find themselves using Google when they want to try to decide what is wrong with a patient. Was it vital for them to have spent years studying science and medicine when the information can now be found online instantly? As technology progresses, and as more and more people access the internet, it becomes more and more of a waste of time to gain knowledge. Memorising facts should become a thing of the past.

Which one of these statements, if true, most weakens the above argument?

In a race with 10 contestants, a money prize of $100 is given to the 1st, 2nd,and 3rd place. The rest of the contestants receive a prize that is three-fifths of that amount.

If the competition made $1000 from selling tickets, how much profit would they make after giving away the prize?

Designs are entered into a computer program before being printed onto clothing. In this program, black and white arrows are applied to the design and will either rotate or flip the design in some way. 2 examples of arrows being applied to designs are shown below:

The following design has been entered into the program:

Which of the following could list the arrows applied to edit this design?

Patricia recorded the height and weight of her friends. The results are shown below:

She then converted this information into a scatter plot. However, she forgot to include one of her friends.

Which person did she forget to include?

Mina and Molly are deciding which restaurant to go to for lunch. Information on the 5 restaurants are shown below:

Mina wants to eat at a critic-approved restaurant where she can have a meal and dessert for a premium price of $30 or more. She wants to be able to drive there in less than 30 minutes.

Which restaurant should she go to?

Georgie ended his run at 2:30 PM. If his run consists of 20 minutes and a 5-minute break, and he completed this 5 times today, what time did he start?

Milly has a large cube that is made up of smaller cubes. She accidentally dropped it in a bucket of red paint. After fishing it out of the bucket, the cubes fell apart!

How many small cubes will have no sides painted red?

Last weekend, the local soccer club hosted an event. The organisers kept track of how many burgers each team ordered that whole weekend.

The information was then converted into a pie chart shown below, but an error occurred , and two teams were incorrectly labelled.

Sally works from 8:00 AM to 5:00 PM, Monday to Friday. She is paid $28 per hour and is not paid for the time taken for breaks.

If she takes 4 breaks throughout each shift, and each break is 15 minutes, how much will Sally be paid for the week?

Gordon is designing a tile, and his design looks like this:

What is the least amount of squares that he will have to fill in in order for it to be symmetrical about the diagonal line?

Joshua has 2 jugs of equal capacity. He fills a third of the first jug with apple juice and the rest with orange juice. He fills two-thirds of the second jug with apple juice then pours the mixture from the first to the second jug until full.

What fraction of the second jug is orange juice?

Harry is forming a pattern with matchsticks. He creates three shapes to form the following pattern:

What is the difference in the number of matchsticks between the 4th and the 7th shape?

Anna drew the following star on her paper.

How many lines of symmetry does it have?

Luke is in detention for disrupting the class. He wants to know the time, however the classroom clock is at the back of the room, and he is not allowed to turn around. However, there is a glass window in front of him, which reflects the clock. Luke sees the following clock:

What is the actual time?

The following table shows the distances in kilometres between towns. For example, the distance between The Shire and Hobbiton is 5 km.

How far did Bilbo have to travel if he travelled from Hobbiton to Rivendell, then to Mirkwood and finally to Laketown?

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