Week 9 Y6 TSA Trial Test

There were five songs featured on the radio. The song’s’ titles were: Mary Had a Little Lamb, Why, Lost Boy, Tiny Heart, and Cry me a River. Each song is played only with one of these five instruments and no instrument was played in more than one song: a guitar, a clarinet, a flute, a drum, and a violin. Clues are stated in the following conditions:

• You can find a flute in the Tiny Heart song.
• There are no drums or violins in Mary Had a Little Lamb.
• Lost Boy is song with a guitar on it.
• There are no drums in the Cry me a River song.

Which of the following statements is true?

Shown below are the three pieces of the puzzle. Note: the drawings are not drawn to scale.

Which of the following is the missing piece that can be combined with the three pieces above to make a square?

Lance and Mira communicate by assigning certain words to letters in the alphabet. The following messages show their last four messages in their chat box and their corresponding interpretation.

 Which letter represents the word “planes”?

Ally, Flaine , Gary, Lima, Prat, and Violet— recently joined the Fantasy World event in their local town. Each has joined at least a sub-world in the fantasy world. The following sub-worlds were available—Marvel World, DC World, and Harry Potter World. They joined these worlds according to the following conditions: 

• Prat and Flaine share exactly one world.
• Lima does not join any world in which Violet joins. 
• Violet joins more worlds than Prat. 
• Violet joins the Marvel World and DC World.
• Ally, Gary, and exactly two other students join the Harry Potter World. 
• Exactly three students join the DC World.
• Flaine  does not join the Marvel World.

What is the highest possible number of people who have joined the same world as Gary?

Marvel Studios has consistently produced some of the highest-grossing films in the history of cinema. The studio’s success is due in large part to its ability to create compelling characters and stories that resonate with audiences across the globe. From Iron Man to Captain America to Black Panther, Marvel has brought beloved comic book heroes to life on the big screen in ways that are both faithful to the source material and exciting for new fans.

Which of the following, if true, most strengthens the argument?

A sculpture is placed in a glass box and displayed in a museum as shown in the diagram below. The sculpture can be viewed from all sides. Which one of the following is not a possible view from one of the sides of the glass box?

A wine-tasting group tours six wineries – Chandon, Sattui, Piccetti, Mumm, Artesa, and Stallion. At each winery, at least one of three wine types is tasted: white, red, and sparkling. The tasting is subject to the following restrictions: 

• The group stops at Sattui either immediately before or immediately after Piccetti, and stops at Chandon before Sattui.
• The group stops at Chandon either immediately before or immediately after Artesa.
• The group tastes sparkling wine and red wine at Mumm and stops at Mumm first.
• The group tastes white wine at exactly four wineries.
• The group tastes more wine types at Sattui than at Piccetti, and more wine types at the last winery than at the first winery at which they stop.
• The group visits Sattui last.

If the group stops at Stallion before Artesa, which of the following statements must be true? 

The only components of the final course grade of the Mathematics course is their midterm and final exams, each composing 50% of the grade. There were 50 students,  and they had their midterm exams last week. The scores of their mid-term exam are shown in the table below. Whoever had a score below the class average score during the midterms exam immediately fails the course and will no longer be allowed to take the final exam (Finals exam score is 0).

The perfect score for the final exam is still 100. The remaining students took the final exam and got a score of 3 points greater than their midterms score (except for those who already got perfect in the midterms, who still got a perfect score during the final exam).

Each of the following statements is true EXCEPT?

Many musicians face the dilemma of whether to self-produce their albums or hire professional producers. While self-production can be a cost-effective option, professionally produced albums, have been shown to sell better on average. This is because professional producers have experience and knowledge of the music industry and access to high-quality recording equipment and resources that can enhance the quality of the final product. In contrast, the musician’s lack of technical expertise and resources often limits self-produced albums, which can result in a less polished final product.

Which of the following, if true, most strengthens the argument?

John: “I’m never going to die if I exercise every day.”

Which among the options best describes the flaw in John’s statement?

During the ironman triathlon event, each participant is given a number that is attached to their back. Their number is composed of three cards, each card containing a number from 0 to 9. Shown below is a sample number of a participant whose number is 135. Each participant’s number depends on their position during registration (e.g., 000 for the first participant who registered).

There are 423 participants who registered.

How many cards containing the number 3 will be needed?

Abegail is a chef, and she adds 3 types of spices to his dishes- chili, pepper, and paprika. She got six dishes and  labeled her dishes from A to F. Each dish contains at least one type of spice. The spices are placed in the dishes according to the following conditions:

• Dish B has chili and pepper placed in it. 
• Dish D has neither chili nor paprika placed in it. 
• Dish E has exactly one fewer item placed inside it than dish F,  and it does not have paprika placed in it. 
• Dish B and dish E have exactly two items in common.
• Any dish with paprika placed in it also has peppers placed in it

If only four dishes has pepper, then each of the following must be true EXCEPT: 

Situation: A person spends $500 on a designer handbag even though they already own several functional handbags.

Analysis: People sometimes prioritise fashion and status over practicality and cost-effectiveness.

Which of the following situations is most consistent with the analysis provided above?

Climate change is causing more frequent and intense droughts in Thailand, leading to decreased rice production. Additionally, rising sea levels and saltwater intrusion are damaging rice paddies in coastal areas. These factors combined are having a significant impact on the rice industry in Thailand.

Which of the following states the main conclusion of the passage?

Fill in the missing place

Situation: Someone living in a cold climate buys a winter coat that is stylish but not warm to appear sophisticated.

Analysis: People are sometimes willing to sacrifice sensual comfort or pleasure for the sake of appearances.

The analysis provided for the situation above is most appropriate for which one of the following situations?

As automation continues to advance, it is likely that the job market in first world countries will experience significant changes. While there are concerns about job displacement, it is also possible that new jobs will emerge to meet the demands of a more automated economy. However, it is clear that workers will need to be proactive in acquiring new skills and adapting to changing conditions in order to remain competitive in the job market.

What is the main conclusion of the passage?

Max: “I hate breakfast, but I still get good grades. So, the study’s findings must be wrong.”

Which among the options best describes the flaw in Max’s statement?

A locker’s combination consists of a five-digit code in accordance with the following rules:

• The codes use the digits 0, 1, 2, 3, and 4, and no others.
• Each digit occurs exactly once in any code.
• The second digit has a value exactly twice that of the first digit.
• The value of the third digit is less than the value of the fifth digit.

If the third digit of the code is not 0, then which one of the following must be true?

I want to attend one basketball match this month. Since I want to see a good match, I have decided to see a team who finished within four places of my team last year. My team finished 8th last year. I also want to watch an away game but would like to travel the shortest distance possible to reach the game. I have summarised the information about this month’s matches for my team in the table shown below. 

Which match will I go to see?

Self-driving cars are becoming more popular, and many argue that they are safer than human-driven cars. Advocates claim that the technology reduces the risk of human error and can ultimately prevent accidents. However, a recent study by the National Transportation Safety Board (NTSB) found that self-driving cars are not necessarily safer than human-driven cars, as they may still face technical issues and potential safety hazards that could result in accidents.

Which statement best weakens the findings of the NTSB?

Reyman and Clarkson are students who regularly pass coded notes to each other during lessons. The colour of the ink is the key to which of their four codes is being used in any particular note, as summarised below. 

GOOD LUCK, for example, would be written as ADDQ FBIX in black ink, EDDM UNBF in blue ink, NVVM QPJY in green ink, and MZZF GNYS in red ink. 

Their Ronnie has intercepted a note from Reyman to Clarkson that reads

 TVBF ODQQ ALLC PK RC CBL KCRCDVF. 

In what colour ink did Reyman write this note?

Courtney sells a bunch of different items.  The table below shows details of the wholesale costs and retail prices for a number of the items sold. 

Of the five items sold, which two together made the most profit for the show owner?

Visitors to the Anjo World theme park have two types of tickets available to them, as follows.

• 1-day ticket – This is valid on the day of issue only.
• 3-day ticket – This is valid on the day of issue and the next two days only.

This is a record of the tickets issued last week.

A 1-day ticket costs $3. 

A 3-day ticket costs $7

How many tickets altogether were valid for use on Thursday last week and how much do all these tickets cost?

In recent years, there has been a growing movement to lower the voting age to 16. Proponents argue that 16-year-olds are mature enough to make informed decisions, especially on issues affecting their future. However, this argument is flawed. Sixteen-year-olds are not yet fully developed and may lack the life experience and critical thinking skills necessary to make informed political decisions. Therefore, lowering the voting age could negatively affect the political process.

Which of the following, if true, most weakens the argument that 16 year olds are not yet ready to vote?

In a game of eight players lasting for 55 minutes, three reserves alternate equally with each player such that all players, including reserves, are on the field of play for exactly the same length of time.

How is each player’s playing time?

At a car boot sale, I purchased 12 CDs for exactly $12. Some of the CDs I bought cost $0.50 each, some were $1.50 each, and some were $2 each.

Which of the following statements is true?

Below is a list of the employees and the date they started and ended with the company. 

Which of the bar charts best represents the distribution of the number of years of service of these employees?

A cube is made from 196 cubes (7x7x4) fitted tightly together in the arrangement below. 

The cube is fully immersed in quick-drying paint. All the exposed faces become covered in paint, but the inner ones remain unpainted.

How many cubes remain completely unpainted?

Conclusions: 

     I. All cougars are animals.

    II. All coloured black is a cougar.

   III. No animal is not a cougar.

   IV. Only some cougars are animals.

Which of the conclusions follow the given statement in the box?

The table below shows the distribution of sales for a music store’s five instruments. Use the data to identify which of the four pie charts best represents the distribution of sales.

Which one of these four graphs shows the correct representation of the data in the table?

Dengue fever is a mosquito-borne viral disease that affects millions of people every year, particularly in tropical and subtropical regions. Despite efforts to control mosquito populations and prevent dengue outbreaks, the disease remains a major public health concern. One potential solution to this problem is the use of genetically modified mosquitoes, which have been engineered to reduce or eliminate the ability of female mosquitoes to transmit the dengue virus. This approach has shown promising results in laboratory and field trials, and may be a more effective long-term solution than traditional mosquito control methods.

Which of the following, if true, most strengthens the argument?

Conclusions: 

     I. Only some Hershey’s are chocolates.

    II. No dark is not Hershey’s.

  III. No chocolate is not Hershey’s.

   IV. No Hershey’s is not a chocolate.

Which of the conclusions follow the given statement in the box?

Which component shapes can be made from the component parts?

Xiao is craving for siomai. He plans to order 7 pieces of siomai. There are four possible suppliers from where he can possibly order his siomai. 

Where should Xiao buy his siomai if he wants the cheapest cost? 

Two years ago I was one and a half times as old as my brother. Five years from now I will be one and a third times as old. 

In the time when I will be one and a quarter times as old as my brother, what will be the sum of our ages?

Many people believe that obtaining a college degree is necessary for achieving success in life. However, there are successful individuals who did not attend college and instead gained knowledge and skills through work experience and self-education. Therefore, obtaining a college degree is not necessary for success.

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

At the end of each year the manager of the local newspaper divides the money available for bonuses between the employees in a ratio according to the number of complete years that they have worked there. So, an employee who has worked for three years and above gets twice as much as the bonus of two employees who have worked for one year and two years combined. Employees who have not yet worked for a full year get no bonus. The bonus of an employee who worked for 2 years is twice the bonus of the employee who worked for 1 year. 

There are four employees at the moment. Hannah has worked for 1 year 5 months, Greg has worked for 2 years 4 months and Amber has worked for 3 years 10 months.  

In the absence of any information about the length of employment of the fourth employee, which of the following pie charts could represent the bonuses paid to the four employees?

Five songs are to be selected from eight songs – Hey Jude, Invincible, Jenny, Karma, Love Me, Man Who Can’t be Moved, Nice Girl, O Maria) to be burned into tracks on a mix CD. The tracks are ordered according to the following conditions: 

• If both are selected for the CD, song Hey Jude precedes song Jenny.
• If both are selected for the CD, song Karma precedes song Love Me.
• If the fourth track is song Invincible, then the first track is song Jenny.
• Either song Hey Jude or song Karma must be on the CD.
• Song Nice Girl is the third track.

If the song Love me precedes song Jenny on the CD, then the following statements could be true EXCEPT?