全港學生STEAM精英挑戰賽2026 – (保良局朱敬文中學 – 高中組)

賽前注意事項:

  1. 本次比賽將包含20條選擇題。參賽者需在五個選擇內選一個正確的。
  2. 請老師預留60分鐘的時間用於學生比賽。我們嚴格遵守時間管理，以確保比賽的公平性和效率性。
  3. 請老師和參賽者在比賽期間保持冷靜，不必急於完成。
  4. 一旦進入網頁，計時器將立即開始倒數計時，所以請確保在按下連結之前已經準備妥當。
  5. 每位參賽者只有一次機會進行比賽，請確保在提交答案前仔細確認。重複提交將導致資格被取消，請謹慎操作。
  6. 請在開始後的60分鐘內完成試題。

Pre-match Notes:

  1. This competition will include 20 multiple-choice questions. Participants must choose one correct answer from five options.
  2. Teachers are requested to reserve 60 minutes for the student competition. We strictly adhere to time management to ensure fairness and efficiency.
  3. Teachers and participants are asked to remain calm during the competition and not rush to finish.
  4. Once you enter the webpage, the timer will start counting down immediately, so please make sure you are ready before clicking the link.
  5. Each participant has only one chance to compete; please ensure you double-check your answers before submission. Resubmission will lead to disqualification, so please proceed with caution.
  6. Please complete the questions within 60 minutes after starting.
請輸入密碼。Please enter password.

請先輸入參賽者資料,再按下頁開始。資料必須與登記比賽申請表的資料一致。
Please enter participant information, and then press Next button to start. The information must be the same as application.

1 / 20

What is a key purpose of using mathematical models in real-world scenarios?
在現實情境中使用數學模型的一個主要目的是什麼？

2 / 20

If Brand A users have a 90% loyalty rate, the probability they switch to Brand B is: (如果 A 品牌用戶的忠誠度為 90%，他們轉向 B 品牌的概率是：)

3 / 20

In encoding a given string of text, which method is most effective in minimizing the average code length? 在編碼給定的文本字符串時，哪種方法最有效地最小化平均代碼長度？

4 / 20

In computer science and information theory, a Huffman code is a particular type of optimal prefix code that is commonly used for lossless data compression. Huffman coding prioritizes:
在計算機科學和信息理論中，霍夫曼編碼是一種特定類型的最佳前綴碼，通常用於無損數據壓縮。霍夫曼編碼的優先考慮：

5 / 20

A dataset’s mode is the value that: (數據集中的眾數是：)

6 / 20

Which of the following is an effective method to prevent the spread of harmful microorganisms?
以下哪一項是防止有害微生物傳播的有效方法？

7 / 20

Which graph shows monthly temperature changes?
哪種圖表顯示每月的溫度變化？

8 / 20

Which material is flexible and heat-resistant? (哪種材料具有靈活性和耐熱性？)

9 / 20

The main greenhouse gas is:
主要的溫室氣體是：

10 / 20

In a probabilistic model, the term “expected value” refers to: (在概率模型中，「期望值」一詞是指：)

11 / 20

The median of the dataset {3, 5, 7, 9} is: (數據集 {3, 5, 7, 9} 的中位數是：)

12 / 20

Which type of filter is commonly used to purify water?
哪種類型的過濾器通常用於淨化水？

13 / 20

A right-angled triangle has legs 3 cm and 4 cm. What is the hypotenuse? (一個直角三角形的腿長為 3 cm 和 4 cm。斜邊是多少？)

14 / 20

What shape has all sides equal and all angles 90°? (哪種形狀的所有邊相等且所有角為 90°？)

15 / 20

What is the binary representation of the number 5? (數字 5 的二進制表示是什麼？)

16 / 20

When researching for climate trends, why is 30-year climate data more reliable than single-year data?

當製作氣候趨勢圖的時候，為什麼30年的氣候數據比單一年的數據更可靠？

17 / 20

Which AI technique is commonly used in self-driving cars?
哪種 AI 技術常用於自動駕駛汽車？

18 / 20

Which term describes limiting disease spread? (哪個術語描述限制疾病傳播？)

19 / 20

In a nutrition optimization problem using 2 food items, if:
Hamburger costs $12 each and provides 512 kcal
Soya drink costs $5 each and provides 128 kcal
What is the correct objective function to minimize total cost (C)?**
Let x be the serving quantity of Beef Hamburger and y be the service quantity of Malted Soya Milk, while $ C be the total amount of the food taken.

**在營養優化問題中使用2種食物時，若：
漢堡每個12元，提供512大卡
豆奶每個5元，提供128大卡
下列哪項是「最小化總成本(C)」的正確目標函數？**
設 x 為牛肉漢堡的份數，y 為麥芽豆奶的份數，而 C 美元為所選食物的總花費。

20 / 20

Mixing red and blue light produces:
紅光和藍光混合會產生：

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