隨著新GRE考試的改革，數學部分的難度逐年上升,。為了幫助考生更好地應對這些挑戰(zhàn),，小編整理了一些在考試中常見的高難度題目，希望能為大家提供參考與學習的素材,。

新GRE數學考試常見難題43-63題

43. A cube has a total surface area of 382 square ft. What is the length of each edge (96)?

44. Compare the distance from (x,y) to the origin (0,0) with the distance from (1-x,1-y) to the origin.

45. For an integer 00, compare p^q and P^(-q) (the latter is larger).

46. A company has phone numbers ranging from 3000 to 3799. What is the probability that a number falls between 3020 and 3039?

47. Compare (-5)*(-7)*(-9) with (-5)(-7)(-9) (the latter is larger).

48. In a triangle (illustration not provided), two sides are 3 and 4 units long, with an included angle x (0).

49. If 4/7 = (s 4)/(t 7), compare s with 4t/7 (they are equal).

50. A circle is inscribed in a rectangle with two sides h and k (the diameter of the circle is k). The area of the rectangle is four times the area of the circle. Compare h/k with π (they are equal).

51. For n > 4, compare the count of odd numbers from 2 to n with the count of prime numbers from 2 to n.

52. Let q = {-3, -6, -9, -12} and r = {-3, -6, -9, -12, -15}. a: the number of elements in one set but not the other; b: a number that is common to both sets.

Note: "the number" indicates a count, which should be 1, while "a number" refers to specific values, -3, -6, -9, -12, which are negative, so a is larger.

53. The probability of rain on the first day is 70%, and on the second day is 40% (regardless of the first day). What is the probability that it does not rain on both days (0.18)?

54. A line with a slope of 3 passes through (k,5). Compare k with 2.

55. For 3^100 - 3^97, find the GREATEST PRIME FACTOR (choose 13).

56. For two events E and F, P(F|E) = 0.45. Compare P(~F|E) with 0.55 (it is less).

57. An equilateral triangle with side length 2 has circles drawn with radius 1 centered at each vertex. Compare the area formed by the three arcs with 3*(√3)/4.

58. In a group of 28 people, there are 14 men, and 7 of these men are under 50 years old. What is the percentage of people under 50 in this group?

59. In a queue of four people w, x, y, z, compare the probability of w being in front of z with 1/2 (I choose equal).

60. If the frequency of x being 0 is n and the frequency of 1 is 100-n, when the arithmetic average of x is less than 0.5, compare n with 50 (n > 50).

61. Compare 9^17/8^17 with 9^17 * 5^9/8^17 * 5^9 (the former is greater than the latter).

62. Chart question 1: A pie chart shows the percentage of support for x and y, while another shows income percentages: <3000, 58%; 3000-5000, 24%; >5000, 18%. Q1: What is the maximum percentage of supporters for y with income >5000 (the smaller of the two, 18%). Q2: Roman numeral question.

63. Chart question 2: Data shows labor force numbers and the proportion in farming over several years. What is the change in the number of labor force in farming from the first year to the last?

以上是為大家整理的常見錯題,，希望考生們能夠認真總結，爭取在新GRE數學考試中取得優(yōu)異的成績,！

對于準備參加新GRE數學考試的考生來說,，了解考試的題型是至關重要的,。本文將對新GRE數學考試的主要題型進行分析,，并分享一些備考經驗和策略,，幫助你更好地應對考試。??

一,、考試結構概述

新GRE數學部分主要分為兩個部分：Quantitative Reasoning（定量推理）和 Analytical Writing（分析性寫作）,。在定量推理部分，你將遇到多種題型,，包括：

• Quantitative Comparisons（定量比較）
• Multiple-choice Questions（選擇題）
• Numeric Entry Questions（數字輸入題）

二,、題型詳細分析

1. Quantitative Comparisons

這種題型要求考生比較兩個數量，并選擇適當的答案選項,。通常情況下,，考生需要判斷哪一個數量更大，或者兩者是否相等,。這類題型可以幫助你提高快速判斷的能力,。在備考時，建議多做練習題,，以熟悉不同類型的比較,。

2. Multiple-choice Questions

選擇題是考試中最常見的題型，通常會提供多個答案選項,?？忌枰獜闹羞x擇一個或多個正確答案。對于這類題型,，建議在解題時先理解題意,，再進行計算，避免因粗心而失分,。??

3. Numeric Entry Questions

數字輸入題要求考生直接在空白框中輸入答案,。這類題型沒有選項，考生需要準確計算出結果并填寫,。為了提高準確性,，考生可以使用草稿紙進行計算，確保答案無誤,。

三,、備考策略

1. 了解考試內容

熟悉考試大綱和數學知識點是備考的第一步。確保掌握基礎的算術,、代數,、幾何和數據分析等知識。??

2. 制定復習計劃

根據自己的時間安排,，制定合理的復習計劃,。每天定時練習,，保持良好的學習習慣。同時,，定期回顧已學過的內容,，鞏固記憶。

3. 做模擬題

通過做模擬題,，了解考試的節(jié)奏和時間管理,。可以選擇一些在線資源或書籍,，進行定期測試,，幫助自己適應考試環(huán)境。??

4. 分析錯題

每次練習后,，務必分析錯題原因,。了解自己的薄弱環(huán)節(jié)，并針對性地進行強化訓練,。這樣不僅能夠提高自己的解題能力,，還能提升自信心。

四,、常見問題解答

Q: 如何提高我的數學基礎,？

A: 可以通過閱讀數學教材、觀看在線課程以及參加輔導班來提高基礎知識,。同時,，定期做練習題以鞏固所學內容。

Q: GRE數學部分的及格線是多少,？

A: GRE數學部分沒有固定的及格線,，但一般來說，得分越高,，申請研究生院的競爭力越強,。建議力爭達到中上水平以上。

希望這些分析和建議能幫助你在新GRE數學考試中取得理想的成績,！祝你備考順利,！??

備考GRE數學部分可能會讓許多考生感到壓力，但通過一些有效的技巧和策略,，你可以提高自己的分數并增強自信心,。以下是一些實用的備考技巧，希望能幫助你在GRE數學考試中取得好成績,！??

1. 了解GRE數學考試的結構

GRE數學部分主要包括兩個部分：定量推理（Quantitative Reasoning）和分析寫作（Analytical Writing）,。在定量推理部分，你將面對兩種類型的問題：選擇題和填空題,。熟悉這些問題的格式和要求,，可以幫助你更有效地備考,。

2. 制定合理的學習計劃

制定一個詳細的學習計劃是成功的關鍵。確保你的計劃涵蓋所有需要復習的數學概念,，包括：

• 算術（Arithmetic）
• 代數（Algebra）
• 幾何（Geometry）
• 數據分析（Data Analysis）

每天安排一定的時間來學習,，每周進行一次自我測試，以評估自己的進步,。??

3. 使用官方備考資料

ETS提供的官方備考書籍和在線資源是最可靠的學習材料,。可以參考以下內容：

• Official GRE Super Power Pack
• Official GRE Quantitative Reasoning Practice Questions

這些資料包含真實的考試題目,，有助于你熟悉考試形式和難度。

4. 多做練習題

通過不斷練習,，你可以鞏固所學知識,，提升解題速度。在練習時,，注意以下幾點：

• 定時完成練習,，以模擬考試環(huán)境。
• 分析錯誤,，找出薄弱環(huán)節(jié),，并針對性復習。
• 嘗試不同類型的題目,，以提高應變能力,。

例如，遇到以下題目時,，先理解問題再選擇答案：

Question: If x + 3 = 7, what is the value of x?

Answer: x = 4.

5. 學會使用計算器

GRE允許考生使用基本的計算器,，因此熟悉計算器的使用是非常重要的。練習時,，盡量使用計算器來解決復雜的計算題,，以提高效率。但要注意,，不要過度依賴計算器,，基本的數學運算能力仍然是必要的。

6. 注意時間管理

在考試中,，時間管理至關重要,。每道題目應該控制在一定的時間內完成，通常建議每題不超過1.5分鐘,。使用計時器進行練習,，可以幫助你培養(yǎng)良好的時間觀念。

7. 保持良好的心理狀態(tài)

備考期間,，保持積極的心態(tài)是很重要的,?？梢酝ㄟ^適當的運動、充足的睡眠和健康的飲食來減輕壓力,。??

8. 考前準備

在考試前的幾天,，進行輕松的復習，避免過度緊張,。確?？荚嚠斕煊谐渥愕男菹ⅲ崆暗竭_考場,，以避免不必要的焦慮,。

希望以上這些技巧能為你的GRE數學備考提供幫助。記住,，持續(xù)的努力和正確的方法將使你在考試中表現出色,！祝你好運！??

Preparing for the GRE can be a daunting task, especially when it comes to the math section. Many students find themselves struggling with certain types of problems that require not just knowledge, but also strategic thinking. In this article, we will explore some common GRE math problems and offer strategies to tackle them effectively. Let's dive in! ??

Understanding the GRE Math Section

The GRE math section primarily consists of Quantitative Reasoning tasks, which assess your ability to understand, interpret, and analyze quantitative information. This includes topics like arithmetic, algebra, geometry, and data analysis. Familiarity with these concepts is essential, but knowing how to apply them under timed conditions is equally important.

Common Problem Types

1. Problem Solving: These questions often present a scenario requiring you to find a specific value. For example:

Question: If 3x + 5 = 20, what is the value of x?

To solve this, first isolate x:

3x = 20 - 5
3x = 15
x = 5

2. Data Interpretation: These questions involve graphs or tables. You might see something like:

Question: According to the table, what is the average score of students in Math?

Here, you would need to calculate the mean based on the provided data.

Strategies for Success

To excel in the GRE math section, consider the following strategies:

1. Practice Regularly: Consistent practice helps reinforce concepts and improve speed. Use GRE prep books or online resources to find practice problems.

2. Understand the Concepts: Instead of memorizing formulas, focus on understanding the underlying concepts. This will help you tackle variations of problems more effectively.

3. Manage Your Time: Time management is crucial. Practice completing sections within the allotted time to build your pacing skills.

4. Review Mistakes: After practice tests, review your incorrect answers to understand where you went wrong. This will help prevent similar mistakes in the future.

Sample Problems

Let’s look at a few sample problems that illustrate different types of questions:

Sample Problem 1: If the perimeter of a rectangle is 36 cm and its length is twice its width, what are the dimensions of the rectangle?

To solve, let the width be w. Then the length is 2w. The formula for perimeter is P = 2(length + width). Setting up the equation:

36 = 2(2w + w)
36 = 6w
w = 6 cm (width), length = 12 cm

Sample Problem 2: A car travels 60 miles in 1 hour and 30 minutes. What is its average speed in miles per hour?

Convert 1 hour and 30 minutes to hours: 1.5 hours. Average speed = total distance / total time = 60 miles / 1.5 hours = 40 mph.

Resources for Practice

Utilize various resources to enhance your preparation:

• GRE Prep Books: Look for comprehensive guides that include practice questions and explanations.
• Online Platforms: Websites like Khan Academy and Magoosh offer free resources and practice problems.
• Study Groups: Joining a study group can provide support and additional insights from peers.

Final Thoughts

Approaching the GRE math section with confidence is key. Remember to practice diligently, understand the concepts, and manage your time wisely. With the right strategies and resources, you can improve your performance and achieve your desired score. Good luck! ??