HKDSE Biology Practice & Notes
Topic-based practice with answer frameworks and revision notes
學校考試中學理科
DSE Math 數學科
Pickmyquiz
•0.0(0)
3246 題 quizBank.difficulty.2 10/4/2026
題庫簡介
本題庫專為香港中學文憑考試（DSE）數學科考生設計，全面涵蓋必修部分的核心課題，包括代數、幾何、三角學及統計學。透過精選的模擬試題與歷屆題型分析，幫助學生掌握解題技巧、提升運算速度並強化邏輯推理能力。…
Preview questions
20 questions available freeThe diagram presents a horizontal box-and-whisker plot summarising the 100 m sprint times (in seconds) of a track squad. The label a sits at 12.1 s on the box's left edge, the median bar reads 13.2 s, the right edge of the box is labelled b, and the right whisker terminates at 18.9 s. For this dataset the inter-quartile range is 3.2 s and the overall range is 6.8 s; the leftmost reading 12.1 s coincides with the lower quartile. Work out the values of a and b.
The cubic polynomial $kx^3$ − 21$x^2$ + 24x − 4 has (x − 2) as one of its factors, where k denotes a constant. Determine the value of k.
An air-cargo hub Y processes B(n) tonnes of freight in its n-th year of operation, where B(n) = p·$q^n$ and p, q are positive constants. The hub handled 230 000 tonnes in its first year and 264 500 tonnes in its second year. Find the value of q.
Simplify $(3x^2)^3$ / (3$x^3$).
Simplify $(3x + 2y)^{2}$ − $(3x - 2y)^{2}$.
Constants p and q satisfy the identity $x^{2}$ + p ≡ (x+3)(x+q) + 12 for all values of x. Find p.
Suppose k is a constant such that the polynomial $x^3$ + 5$x^2$ + kx − 18 is exactly divisible by (x + 2). Find the value of k.
If m + 2n + 1 = 2m − n = 12, find n.
The parabola y = a$(x+b)^{2}$ opens upward and has its vertex located on the right-hand side of the y-axis. Which of the following must hold?
Solve 11+5x<1 or 22-3x>7.
A company has both male and female employees, with women making up 40% of the workforce. Among the male employees, 50% are married, while 75% of the female employees are married. Find the percentage of married employees in the entire company.
If x/y = 3/7, find x : y.
y is partly in direct variation with $x^{2}$ and partly in inverse variation with x. Given that y = −3 when x = 1 and y = 9 when x = 2, determine the value of y when x = −2.
A data entry task takes 8 hours to complete. The average typing speeds for the first 5 hours and the last 3 hours are 48 and 72 words per minute respectively. Find the overall average typing speed.
A product arrangement begins with a single product, and the move from pattern n to pattern n+1 introduces n additional products. Determine the number of products in pattern 8.
Which of the following statements about the number 0.0286535 is correct?
A thin rope has a measured length of 30 m, accurate to the nearest metre. It is cut into n equal segments, with each segment measuring 7 cm to the nearest cm. Find the greatest possible value of n.
A quadrilateral has the property that its two diagonals are mutually perpendicular, with lengths 16 cm and 20 cm respectively. Compute the area of this quadrilateral.
O, A and C lie on one ray, and O, B and D lie on another ray. Two sectors share the common centre O. The smaller sector OAB has radius OA = 30 cm and arc AB = 12$\pi$ cm. The larger sector OCD has radius OC = 40 cm. Determine the length of arc CD.
ABCD is a parallelogram with E on AB and F on CD. Both AD and EF are extended; the two extensions meet at a point G outside the parallelogram. It is given that DF : FC = 3 : 4, AD : DG = 1 : 1, and the area of triangle DFG is 3 $cm^{2}$. Find the area of parallelogram ABCD. [Figure: parallelogram ABCD with A at the bottom-left, B at the bottom-right, C at the top-right and D at the top-left; E lies on AB, F lies on DC; AD extended upward and EF extended upward meet at G above the parallelogram, with triangle DFG above side DC.]
考生最常中伏嘅題目
根據本題庫其中 1580 條有足夠作答樣本嘅題目、累計 51,611 次真實作答統計，以下選項最多考生揀錯——溫習時特別留神。
1
擲兩枚公平骰子，點數和至少10時獲HKD 6，否則獲HKD 18。求期望所得。
最多人誤揀：HKD 7
66% 作答者揀咗呢個錯誤選項 · 此題累計 38 次作答
2
一組數據的平均數、全距及方差分別為 m1、r1、v1。新數據由每個 xi 變為 2 - xi，並額外加入 2 - m1。以下哪些必然正確？I. 新平均數為 2 - m1。II. 新…
最多人誤揀：I, II and III / I、II 及 III
66% 作答者揀咗呢個錯誤選項 · 此題累計 35 次作答
3
$y=3+a\sin\left(\frac{x^\circ}{2}\right)$ 的圖像由 $(0,3)$ 向上，於 $(b,5)$ 首次達到最大值，其中 $b>0$。求 $a$…
最多人誤揀：$a=-2,\ b=180$
71% 作答者揀咗呢個錯誤選項 · 此題累計 31 次作答
4
兩名學生的測驗分數相差40，標準分相差4。求全體測驗分數的標準差。
最多人誤揀：20 marks／分
65% 作答者揀咗呢個錯誤選項 · 此題累計 34 次作答
5
若 $\frac{x+y}{x}=\frac{1-y}{y}$，則 $x=$
最多人誤揀：$\frac{y^2}{1+2y}$
55% 作答者揀咗呢個錯誤選項 · 此題累計 38 次作答
想知每題正確答案同詳細解析？下載 App 免費試用，答錯嘅題目會自動收集等你重溫。
使用者評價
0.0•0 則評價
尚無評價
成為第一個評價這個題庫的使用者
