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HKDSE-MATH - 2020 - Paper 1 -

2020-I-12

Ans: (a) $700\pi\text{ cm}^3$ (b) $195\pi\text{ cm}^2$
  1. Le
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2020

2020-II-15

Ans: D
Let $r$ and $\theta$ be the radius and the angle of the s
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2020

2020-II-16

Ans: B
Consider the volume of the right circular cylinder, w
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2020

2020-II-17

Ans: C
Note that $\Delta OPU \sim \Delta OQT$. Hence, we have
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2020

2020-II-18

Ans: B
Join $DG$.

Consider $\Delta AEG$ and $\Delta DEG$. Si

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2020

2021-I-14

Ans: (a) $10\text{ cm}$ (b) No (c) Yes
  1. Let $r\text{ cm}$ be th
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2021

2021-II-15

Ans: C

Note that the regular $6$-sided polygon can be divide

… Read
2021

2021-II-16

Ans: A

Let $r_1 \text{ cm}$ and $r_2 \text{ cm}$ be the radius

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2021

2021-II-17

Ans: B

I is true. Let $r\text{ cm}$ be the radius of the sector

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2021

2021-II-20

Ans: C

Since $\Delta EBF \sim \Delta DAE$, then we have

$\beg

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2021

2022-I-13

Ans: (a) $288\pi\text{ cm}^3$ (b) No
  1. Since spheres are simi
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2022

2022-II-15

Ans: A

Let $r\text{ cm}$ be the radius of the the hemisphere.

… Read
2022

2022-II-17

Ans: B

Join $PN$.

Let $x\text{ cm}^2$ be the area of $\Delta M

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2022

2022-II-18

Ans: C

Since $ABCD$ is a rectangle, then we have

$\begin{arr

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2022

2023-I-14

Ans: (a) $48\text{ cm}$ (b) (i) $3087\pi\text{ cm}^3$ (ii)
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2023

2023-II-15

Ans: A

Let $r\text{ cm}$ and $h\text{ cm}$ be the base radius

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2023

2023-II-16

Ans: D

Denote the centre of the larger circle by $O$.

Since $A

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2023

2023-II-17

Ans: B

Join $R$ and $X$. Let $PX:XQ =r:1$, where $r0$.

Since $

… Read
2023

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Topic Cloud

3D Problems (41) Basic Functions (13) Basic Geometry (68) Binomial Theorem (7) Change of Subject (32) Complex Numbers (16) Coordinates (46) Differentiation (16) Equations of Circle (54) Equations of Straight Line (43) Estimations and Errors (35) Factorization (39) Graph of Functions (3) Inequality (39) Integration (15) Laws of Indices (43) Linear Programming (21) Locus (13) Logarithm (34) Mathematical Induction (7) Matrices (4) Mensuration (98) Numeral System (19) Percentage (42) Polynomials (49) Probability (85) Properties of Circles (56) Quadratic Equations and Functions (57) Rate and Ratio (30) Rational Functions (20) Sequences (66) Simultaneous Linear Equations (27) Statistics (122) System of Linear Equations (3) Transformations (44) Trigonometry (M2) (7) Trigonometry and Its Applications (67) Variations (38) Vectors (3)

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