Year 6 number patterns based on the NSW syllabus including function rule

Year 6 Unit 2: Number

Legislative Structure: Congress -- two houses: Senate (2 senators from each state, 6 year terms, must be at least 30 years old and have been a citizen for at least nine years) -- Constitution originally allowed state legislatures to choose the two senators but now elected by popular vote House of Representatives (number based on population of state, determined every ten years in a census -- number now set at 435; 2 year terms, must be at least 25 years old and have been a citizen for 7 years) Legislative Powers: Makes the laws -- any senator or representative can propose a bill -- if majority in one house favors it, bill goes to other house for debate -- if approved by both -- goes to the president to be signed into law -- President can veto any proposed law but can then be overruled if there is a two thirds majority in both houses favoring the law Elastic Clause -- can make all laws “necessary and proper” to carry out its other powers Only the House of Representatives can propose new taxes Only Congress can decide on how to spend the money raised through taxes Power to raise (pay for) an army and navy To declare war Approves treaties and executive appointments -- Senate How was the debate over how the president should be chosen resolved? The Electoral College System -- made up of electors who cast votes to elect the president and vice-president every four years Each state has as many electors in the Electoral College as the number of senators and reps it sends to Congress. The votes cast by electors are called electoral votes. Delegates left the method of choosing electors up to each state. Before 1820, state legislatures chose electors in most states. Today, people choose their state’s electors when they vote in presidential elections. The electors then cast their ballots for president and vice-president on a date chosen by Congress. Today must win at least 270 of the 538 total electoral votes

President Xi Jinping, who is also general secretary of the Communist Party of China Central Committee and chairman of the Central Military Commission, visits Luoyang Bearing Group Co on Monday afternoon during his inspection of Luoyang, Henan province. During the visit, Xi called for continuous efforts to make the manufacturing industry even stronger to advance Chinese modernization. YAN YAN/XINHUA President Xi Jinping has stressed the importance of keeping businesses, employment, the market and expectations stable in the face of a complex international environment, saying that China will respond to various uncertainties with the certainty of its high-quality development. Xi, who is also general secretary of the Communist Party of China Central Committee and chairman of the Central Military Commission, made the remarks on Tuesday as he wrapped up a two-day fact-finding trip to Central China's Henan province. Speaking to provincial Party and government officials at a work briefing on Tuesday in Zhengzhou, the provincial capital, Xi said that high-quality development is essential to Chinese modernization. Faced with the complex external environment, it is necessary to firm up confidence, unwaveringly manage China's own affairs well, and steadfastly expand high-level opening-up, he said. He also urged Henan, one of the country's economic powerhouses, to further consolidate the foundation of its real economy, and promote the development of new quality productive forces suited to local conditions and led by technological innovation, in order to enhance the capacity of its modern industrial system to support high-quality development. When visiting Luoyang Bearing Group Co in the city of Luoyang on Monday, Xi said: "China has always adhered to the path of developing the real economy. From the past reliance on imported matches, soap and iron, to now becoming the world's largest manufacturing country with the most complete industrial categories, we have taken the right path." As a traditional manufacturing enterprise specializing in bearings, Luoyang Bearing Group's products are widely used in fields such as aerospace, construction machinery, wind power generation, rail transit, port machinery and ships. After learning about the company's efforts to accelerate the development of advanced manufacturing, Xi said that China must continue to strengthen the manufacturing sector, adhere to the principles of building self-reliance and strength, and master core technologies in key fields. "The hope is placed on you," he told the on-site workers. He also called for efforts to strengthen collaboration between industries, universities and research institutes, and cultivate a large number of high-quality talent. Despite internal challenges and increasing external shocks, China's manufacturing industry has withstood pressure and maintained stable growth. In April, the manufacturing sector saw its value-added output climb 6.6 percent year-on-year, with that of equipment manufacturing and high-tech manufacturing up 9.8 percent and 10 percent, respectively, according to data released by the National Bureau of Statistics on Monday. Advanced manufacturing is the high ground in global industrial competition and the main battlefield for technological innovation. Xi has repeatedly emphasized the need to upgrade the country's modernized industrial system, supported by advanced manufacturing. In a resolution adopted at the third plenary session of the 20th CPC Central Committee in July last year, it was clearly stated that China will move faster to advance new industrialization, promote the growth and expansion of advanced manufacturing clusters, and make the manufacturing sector higher-end, smarter and more eco-friendly. On Monday, Xi also visited the White Horse Temple, the first Buddhist temple in China, and the Longmen Grottoes, a UNESCO World Heritage site. Contact the writers at mojingxi@chinadaily.com.cn

Generate all of these 25 questions Part A: Each correct answer is worth 5. 1. The regular pentagon shown has a side length of 2 cm. The perimeter of the pentagon is (A) 2 cm (B) 4 cm (C) 6 cm (D) 8 cm (E) 10 cm 2 cm 2. The faces of a cube are labelled with 1, 2, 3, 4, 5, and 6 dots. Three of the faces are shown. What is the total number of dots on the other three faces? (A) 6 (B) 8 (C) 10 (D) 12 (E) 15 3. The equation that best represents \a number increased by _ve equals 15" is (A) n 􀀀 5 = 15 (B) n _ 5 = 15 (C) n + 5 = 15 (D) n + 15 = 5 (E) n _ 5 = 15 4. The line graph shows the number of bobbleheads sold at a store each year. The sale of bobbleheads increased the most between (A) 2016 and 2017 (B) 2017 and 2018 (C) 2018 and 2019 (D) 2019 and 2020 (E) 2020 and 2021 Number of 2016 2017 2018 2019 2020 Year Sale of Bobbleheads 2021 Bobbleheads 20 40 60 80 5. Starting at 72, Aryana counts down by 11s: 72; 61; 50; : : : . What is the last number greater than 0 that Aryana will count? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8 6. In the diagram, \ABC = 90_. The value of x is (A) 68 (B) 23 (C) 56 (D) 28 (E) 26 Day of the Week 44° x° A B C x° 7. Which of the following values is closest to zero? (A) 􀀀1 (B) 5 4 (C) 12 (D) 􀀀4 5 (E) 0:9 Grade 8 8. A jar contains 267 quarters. One quarter is worth $0.25. How many quarters must be added to the jar so that the total value of the quarters is $100.00? (A) 33 (B) 53 (C) 103 (D) 133 (E) 153 9. A package of 8 greeting cards comes with 10 envelopes. Kirra has 7 cards but no envelopes. What is the smallest number of packages that Kirra needs to buy to have more envelopes than cards? (A) 3 (B) 4 (C) 5 (D) 6 (E) 7 10. For the points in the diagram, which statement is true? (A) e > c (B) b < d (C) f > b (D) a < e (E) a > c y x (e, f ) (a, b) (c, d ) Part B: Each correct answer is worth 6. 11. The 26 letters of the English alphabet are listed in an in_nite, repeating loop: ABCDEFGHIJKLMNOPQRSTUVWXY ZABC : : : What is the 258th letter in this sequence? (A) V (B) W (C) X (D) Y (E) Z 12. A public holiday is always celebrated on the third Wednesday of a certain month. In that month, the holiday cannot occur on which of the following days? (A) 16th (B) 22nd (C) 18th (D) 19th (E) 21st 13. A circular spinner is divided into three sections. An arrow is attached to the centre of the spinner. The arrow is spun once. The probability that the arrow stops on the largest section is 50%. The probability it stops on the next largest section is 1 in 3. The probability it stops on the smallest section is (A) 1 4 (B) 2 5 (C) 1 6 (D) 2 7 (E) 3 10 14. A positive number is divisible by both 3 and 4. The tens digit is greater than the ones digit. How many positive two-digit numbers have this property? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8 15. A rectangular pool measures 20 m by 8 m. There is a 1 m wide walkway around the outside of the pool, as shown by the shaded region. The area of the walkway is (A) 56 m2 (B) 60 m2 (C) 29 m2 (D) 52 m2 (E) 50 m2 20 m 8 m 1 m Grade 8 16. The results of asking 50 students if they participate in music or sports are shown in the Venn diagram. What percentage of the 50 students do not participate in music and do not participate in sports? (A) 0% (B) 80% (C) 20% (D) 70% (E) 40% Music Sports 15 5 20 17. There are 2 3 as many golf balls in Bin F as in Bin G. If there are a total of 150 golf balls, how many fewer golf balls are in Bin F than in Bin G? (A) 15 (B) 30 (C) 50 (D) 60 (E) 90 18. In the sequence shown, Figure 1 is formed using 7 squares. Each _gure after Figure 1 has 5 more squares than the previous _gure. What _gure has 2022 squares? (A) Figure 400 (B) Figure 402 (C) Figure 404 (D) Figure 406 (E) Figure 408 Figure 1 Figure 2 Figure 3 19. Mateo's 300 km trip from Edmonton to Calgary passed through Red Deer. Mateo started in Edmonton at 7 a.m. and drove until stopping for a 40 minute break in Red Deer. Mateo arrived in Calgary at 11 a.m. Not including the break, what was his average speed for the trip? (A) 83 km/h (B) 94 km/h (C) 90 km/h (D) 95 km/h (E) 64 km/h 20. Equilateral triangle ABC has sides of length 4. The midpoint of BC is D, and the midpoint of AD is E. The value of EC2 is (A) 7 (B) 6 (C) 6:25 (D) 8 (E) 10 Part C: Each correct answer is worth 8. 21. The positive factors of 6 are 1, 2, 3, and 6. There are two perfect squares less than 100 that have exactly _ve positive factors. What is the sum of these two perfect squares? (A) 177 (B) 80 (C) 145 (D) 52 (E) 97 22. In the list p; q; r; s; t; u; v, each letter represents a positive integer. The sum of the values of each group of three consecutive letters in the list is 35. If q + u = 15, then p + q + r + s + t + u + v is (A) 85 (B) 70 (C) 80 (D) 90 (E) 75 Grade 8 23. The net shown is folded to form a cube. An ant walks from face to face on the cube, visiting each face exactly once. For example, ABCFED and ABCEFD are two possible orders of faces the ant visits. If the ant starts at A, how many possible orders are there? (A) 24 (B) 48 (C) 32 (D) 30 (E) 40 A D B C E F 24. The number 385 is an example of a three-digit number for which one of the digits is the sum of the other two digits. How many numbers between 100 and 999 have this property? (A) 144 (B) 126 (C) 108 (D) 234 (E) 64 25. Student A, Student B, and Student C have been hired to help scientists develop a new avour of juice. There are 4200 samples to test. Each sample either contains blueberry or does not. Each student is asked to taste each sample and report whether or not they think it contains blueberry. Student A reports correctly on exactly 90% of the samples containing blueberry and reports correctly on exactly 88% of the samples that do not contain blueberry. The results for all three students are shown below. Student A Student B Student C Percentage correct on samples 90% 98% (2m)% containing blueberry Percentage correct on samples 88% 86% (4m)% not containing blueberry Student B reports 315 more samples as containing blueberry than Student A. For some positive integers m, the total number of samples that the three students report as containing blueberry is equal to a multiple of 5 between 8000 and 9000. The sum of all such values of m is (A) 45 (B) 36 (C) 24 (D) 27 (E) 29

1. What is the primary goal of the board regarding compensation for professional employees? A) To minimize costs B) To attract and retain committed personnel C) To follow state regulations only D) To offer the highest salaries in the district 2. How is the compensation of certificated personnel determined? A) Based solely on local market rates B) Based on the state salary schedule with local supplements C) Based on the number of students taught D) At the discretion of the principal 3. When must teachers receive written notification of their employment status for the following school year? A) After the school year ends B) On the last day of school C) On or before the date the district extends offers of teaching employment D) At the start of the school year 4. Who has the authority to establish the compensation for support staff? A) The school board B) The superintendent C) The principal D) The teachers’ union 5. How often are employees paid? A) Weekly B) Monthly C) Semi-monthly D) Annually 6. What happens if a regular payday falls on a company-observed holiday? A) Employees are paid the following week B) Employees are paid on the last business day preceding that date C) Employees receive double pay D) Payments are canceled 7. Which of the following is NOT a mandatory deduction from an employee’s compensation? A) Federal income taxes B) State income taxes C) Employee bonuses D) FICA taxes 8. How should an employee report an improper deduction from their pay? A) Ignore it B) Report it to human resources or their direct supervisor C) Discuss it with colleagues D) Write a letter to the school board 9. Which of the following statements is true regarding exempt employees’ salaries? A) Their salary can be reduced for any reason. B) They receive full salary regardless of the number of hours worked in a week. C) Their pay is based on the number of days they work. D) They are paid hourly. 10. Under what condition can the district reduce an exempt employee's salary? A) If the employee takes vacation days B) If the employee is absent for personal reasons for one or more full days C) For minor conduct infractions D) If the employee decides to leave early

1. Sit down – Sit on a chair or lower your body. Example: "Please sit down and relax." (Сядьте и расслабьтесь.) 2. Lie down – Recline or rest horizontally. Example: "You should lie down if you're tired." (Тебе следует прилечь, если ты устал.) 3. Turn down – Refuse an offer or reduce volume/heat. Example: "She turned down the job offer." (Она отказалась от предложения о работе.) 4. Slow down – Reduce speed. Example: "Slow down! The road is icy." (Сбавь скорость! Дорога скользкая.) 5. Calm down – Become less angry or anxious. Example: "Calm down and tell me what happened." (Успокойся и расскажи, что случилось.) 6. Break down – Stop working (machine) or lose control emotionally. Example: "My car broke down yesterday." (Моя машина сломалась вчера.) 7. Write down – Record something on paper. Example: "Write down the phone number." (Запиши номер телефона.) 8. Put down – Place something on a surface or insult someone. Example: "Put down the book on the table." (Положи книгу на стол.) 9. Bring down – Reduce (prices, temperature) or make someone sad. Example: "The news brought her down." (Новость расстроила ее.) 10. Cut down – Reduce consumption (e.g., food, expenses). Example: "I need to cut down on sugar." (Мне нужно сократить потребление сахара.) 11. Let down – Disappoint someone. Example: "He let me down by not coming." (Он меня подвел, не прийдя.) 12. Shut down – Close a business or turn off a machine. Example: "The factory shut down last year." (Фабрика закрылась в прошлом году.) 13. Knock down – Demolish or hit someone to the ground. Example: "They knocked down the old building." (Они снесли старое здание.) 14. Settle down – Start living a stable life or calm down. Example: "They want to settle down and have kids." (Они хотят остепениться и завести детей.) 15. Go down – Decrease or descend. Example: "The price of gas went down." (Цена на бензин снизилась.) 16. Come down – Move from a higher place or become cheaper. Example: "Come down the stairs carefully." (Спускайся по лестнице осторожно.) 17. Hold down – Keep a job or suppress something. Example: "He holds down two jobs." (Он работает на двух работах.) 18. Burn down – Destroy by fire.

Related quizzes

Related quizzes