Day 2 – Summer Holiday Group 6 Year 6 Thinking Skills Homework

The following chart shows the total energy production in the world in 1996 and 2006.

• The total energy produced in 1996 was 200 TWh.
• The energy produced by Nuclear in 2006 was twice that of Coal in 1996.

How much energy was produced by Nuclear in 2006 in TWh?

Sherlock wants to purchase the most delicious cookies from Bakers Street. There are four shops that sell cookies. The prices of the cookies in each shop are shown in the table below.

Sherlock wants to purchase 10 expensive cookies. 

Which shop should Sherlock buy the cookies from?

The following pie charts show the amount of energy an office building used in the year 1990 and 2000.

• The unit for energy use is kWh

Which space saw the smallest reduction in energy use between 1990 and 2000?

Lisa needs office supplies but it usually takes a very long time for the office to release a budget. So, she collected money from her office mates instead, and gathered a total of $50. The shops from which she can buy the supplies are given in the table below. 

Lisa needs 5 pens, 2 notebooks, 3 rulers, 2 scissors, and one glue. She needs to buy all the supplies from the same shop and to spend as little as possible. 

Which of the following is the amount Lisa has contributed?

The following chart shows the income of three different airlines.

• The expected growth in income for year six is equal to the growth from year 4 to year 5.
• The units are in millions of dollars.

Assuming the statement above is true, what would the combined income be for the three companies in year 6?

During our Christmas Party, there was a game in which the players needed to finish eating a 5-kg steak. Whoever got an average of more than 125 secs are disqualified. The results are shown in the table below. 

Who got eliminated?

The following chart shows the amount of money invested in a certain sector, showing the values in millions $.

• It is known that in the Pacific Rim, the ratio of investment to profit is 2:15

Assuming the statement above is true, what is the amount of profit gained in the pacific rim in the government sector?

Khayle wants to attend a 9-day comic convention. Her parents gave her $1,522 for the tickets and her allowance. The comic con will be on the following days: 1, 2, 3, 6, 8, 11, 12, 13, and 14. The prices of the tickets are as follows. 

Khayle wants to choose the cheapest valid combination so that she will still have enough money to be equally divided for 9 days as her allowance. 

Which of the following will Khayle’s allowance after paying for the tickets?

Toto is in search of a credit card. He browsed online and gathered the data needed which are shown in the chart below.

Which bank should he get his credit card from if he wants to save more?

The school registrar Annie needs to evaluate the result of the recent licensure examination for mechanical engineers. Shown in the table below are the number of students who passed and failed in each class. 

Which classes will give an average of 70% passing rate?

NLC Supermarket is giving away free sacks of rice for their 2nd Anniversary. Customers with a minimum purchase of $45 will be able to receive the price. The chart below shows the data gathered.

How many customers will be eligible to receive the give away sack of rice?

During a science experiment, the class needs to determine at what temperature a glass will start to crack. Below shows the data gathered by each group. 

The teacher revealed that a glass starts to break at 60 °F. 

Based on the average of their guesses, which group guessed the value closest to the answer?

Engineers from the Construction Division were asked about their means of transportation going to work. The data are given in the chart below.

Which percentage should the lowest value have to increase to reach the highest value?

Sana is decorating for Christmas. She realises she lacks some materials and decides to go online shopping. She found four shops that sell all the materials needed. The table below shows the shops and prices of each material. 

Sana needs 12 Christmas Baubles, 1 Christmas Tree, 2 Wreaths, 5 Mistletoes, and 8 Ornaments. The delivery fee for shops A and B is $20, and $10 for shops C and D. 

Which of the following is Sana’s total expenses if she wants to buy the materials from the same shop and spend as little as possible?

Jay would like to know how often his classmates eat cereal in a week. The table below shows the result.

Which of the following represents the data above?

Candy is having a birthday party on Sunday. She only wants to invite her classmates who are 5 years old and below, and are born 3 months before and after her birth month. Shown in the table below are the names and birthdates of her classmates. 

If Candy’s party will be on December 8, 2022, how many classmates can she invite?

Australian football is a contact-game between 2 teams of 18 players. Marco and Pete were interested in the game and decided to create two teams and play five games. The data are shown below.

Who won the championship and what is the difference of their total scores?

Charles and his 3-year-old daughter Yumi want to go on a 9-day field trip to Disneyland while spending as little as possible. The scheduled days for the trip are: 1, 3, 4, 5, 7, 8, 9, 10, and 11. 

How much would Charles pay for their tickets if kids are free of charge for the last five days?

Shown in the table below is the travel data of Chin.

How far did Chin travel from 12:30 pm to 6:30 pm?

An antibiotic medicine was prescribed to Mary for her illness. She needs to take the medicine once a day for 15 days except Monday, Wednesday, and Friday. Her first intake is on Thursday 3 May. 

What is the day and date of her final medicine intake?

The Olympic Winter Games 2022 held at Beijing released the semifinals result for the sport Figure Skating. Scores that exceed 215 qualify for the final round. There are only two trials and the highest score between the two trials will be recorded as their final time. The table below shows the data.

Which country ranked 1st during the semifinals?

Sierra made a table of values of how often she listens to the song Phantom of the Opera on Spotify. The table is shown below.

Which graph represents her Spotify data?

Five students compare their final scores to the top student’s score. The average of their exam scores will be the basis for their final scores. The table below shows their scores for each exam.

The final score of the top student is 48.15

What is the difference between the top student’s final score and the lowest final score?

Megan won four times during their office party. She wants to know which of the prizes is the grand prize and which are the consolation prizes only. So, she looked through the prices of each item in the market. The data she gathered are given below.

Which of the following graph best describes the data above if the gray portion represents the Toaster?

Joan wants to attend an educational seminar for nine days. The scheduled days for the seminar are: 2, 3, 4, 5, 8, 10, 14, 15, and 16.

Which of the following is the difference between the most expensive and the cheapest combination?

Ren made an allocation for his allowance for the week. The table shows the data of the allocation.

Which of the following graph represents the data above?

10 kids went trick or treating during halloween. They already went to two blocks and are needed to go one more block to complete the data needed to calculate the final count of the candies gathered. The current average candy count per kid is given in the table below.

If all the kids get the same number of candies in the third block and the minimum number of candies per kid is 25, what is the minimum candy count that should be achieved in the third block to ensure that all the kids would get 25 and above?

Christine can’t decide where she should purchase her coffee from. Therefore, she asked her colleagues to rate the brands on her list on a scale of 1 to 100.

Whose pie chart is being represented?

Maye recently auditioned as a choir member. In order to be an official member, she needed to complete a 15-day training conducted by the chorale club. Her first day of training is on Friday 18 May, and there will be no training every Sunday, Monday, and Tuesday.

What is the day and date of her final training?

Yohan recently bought a thermometer and tried testing it on certain objects. The table below shows the data.

Charlie made a chart out of the temperature readings. However, the unit she used was Kelvin.

0°C = 273.15 Kelvin

Which chart shows the result of the students’ temperature readings in Kelvin?

Chowder wants to sell his brownies at an affordable price. The prices of each ingredient he used are listed in the table below.

How much should he sell his brownies if he wants a 5% return of investment?

Belle is giving away her books this year. To make it easy for her to track the books that she will be giving away, she tallied all the books she read each month. The table below shows the data she gathered.

Which month was missed out based on the graph?

Jenna is planning to go camping with her friends on October 29 to November 5, 2022. They want to rent a tent with a free mattress and a pocket wifi as inclusions. Shown in the table below are the shops and their rental rates.

Which of the following shops should she choose if she wants to spend as little as possible?

Josh wants to purchase the newest phone model online. He wants to spend as little as possible. So he made a chart showing the four shops he is choosing from. The chart he made is shown below.

Which shop should he get his new phone from if he wants to save more?

Six friends were assigned to different countries. The list of their monthly incomes and the tax rate per country is given in the table below.

What is the difference between the highest and lowest amount of tax per month?

Below shows the monthly expenses for Rucs Construction Services.

Which months have the greatest difference?

Justin, together with his wife and two children (ages 4 and 18), wants to spend the weekend in the amusement park. Each of them needs an admission ticket. The prices for the tickets are based on age.

How much is the least amount that the whole family can spend?

Shown in the table below is the travel data of Paul.

How far did Paul travel from 9:30 am to 6:30 pm?

Clark spends $30 daily for his 2-km ride from his house to his office using his own car. However, he wants to try commuting to see if he can save more. The fare for each public vehicle is given in the table below.

Which public vehicle should he choose?