Diagram Review - A-Level Maths

34645 Q11 (OCR MEI Further Pure Core 2020 November) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

16386 Q4 (Edexcel M3 2014 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[>=latex, scale=1.5]
    % Configuration variables
    \def\angle{30}      % Inclination angle alpha
    \def\cpos{4.5}      % Distance of point C from origin
    \def\apos{7.0}      % Distance of point A from origin
    \def\totalLen{8.5}  % Length of the incline line

% 1. Draw the horizontal dashed baseline
    \draw[dashed] (0,0) -- (6,0);

% 2. Draw the main inclined plane line
    \draw (0,0) -- (\angle:\totalLen);

% 3. Draw the angle arc and label it alpha
    \draw (1.2, 0) arc (0:\angle:1.2);
    \node at (15:1.5) {$\alpha$};

% 4. Elements on the incline (using a rotated scope for simplicity)
    \begin{scope}[rotate=\angle]
        % Coordinate definitions
        \coordinate (C) at (\cpos, 0);
        \coordinate (A) at (\apos, 0);

% Draw the solid dot at C
        \fill ($(C)+(0,.075)$) circle (2pt);
        
        % Draw the perpendicular tick mark at A
        \draw (A) ++(0, 0.12) -- ++(0, -0.24);

% Draw the thin rod slightly above the incline line
        \draw[thin] (\cpos, 0.08) -- (\apos, 0.08);

% Draw the double-headed dimension arrow for 'l' below the incline
        \draw[<->] (\cpos, -0.4) -- (\apos, -0.4) node[midway, fill=white, inner sep=1pt] {$l$};

% Place labels C and A below their respective points
        \node[below=14pt] at (C) {$C$};
        \node[below=10pt, right=6pt] at (A) {$A$};
    \end{scope}

\end{tikzpicture}

13531 Q3 (OCR MEI S2 2006 January) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}
    \begin{axis}[
        width=12cm, height=9cm,
        axis lines=left,
        xmin=8.5, xmax=27,
        ymin=0, ymax=65,
        % Define ticks based on the image
        xtick={10, 15, 20, 25},
        ytick={0, 10, 20, 30, 40, 50, 60},
        % Remove default labels to place them manually like the image
        xlabel={}, ylabel={},
        axis line style={-latex},
        tick label style={font=\small},
        clip=false
    ]
        % Scatter plot of the data points from the table
        \addplot[only marks, mark=x, mark size=3pt, thick] coordinates {
            (13.3, 9) (17.2, 11) (16.9, 14) (18.7, 26) (18.4, 43)
            (19.3, 25) (23.1, 52) (15.0, 15) (20.6, 10) (14.4, 7)
        };

% Replicating specific label placements
        \node[anchor=east, align=right, font=\small] at (axis cs:8.3, 60) {Nitrous oxide \\ level};
        \node[anchor=west, font=\small] at (axis cs:8.5, 61.5) {$y$};
        \node[anchor=south east, font=\small] at (axis cs:26.5, 0.5) {$x$};
        \node[anchor=north, font=\small] at (axis cs:23.5, -6) {Temperature};

% Creating the axis break (zigzag) on the x-axis
        \draw[white, line width=3pt] (axis cs:9.2, 0) -- (axis cs:9.8, 0);
        \draw[thick] (axis cs:9.0, -1.8) -- (axis cs:9.4, 1.8) -- (axis cs:9.7, -1.8) -- (axis cs:10.1, 1.8);
    \end{axis}
\end{tikzpicture}

42248 Q6 (CAIE M2 2015 November) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

31313 Q4 (OCR MEI M3 2014 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

31069 Q5 (AQA M3 2015 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[
    >=Straight Barb, % Use a simple V-shaped arrowhead to match the image
    velocity/.style={
        postaction={decorate},
        decoration={
            markings,
            mark=at position 0.55 with {\arrow{>}}
        }
    }
]

% Define the centers of the two circles
    \coordinate (A) at (0,0);
    \coordinate (B) at (2,0);

% Draw the dashed line of centres
    \draw[densely dashed] (-2.2, 0) -- (4.2, 0) node[right, text=black] {\textsf{Line of centres}};

% Draw the two touching circles
    \draw (A) circle (1);
    \draw (B) circle (1);

% Add labels A and B below the circles
    \node at (0, -1.4) {$A$};
    \node at (2, -1.4) {$B$};

% --- Particle A ---
    \def\angleA{115} % Angle for velocity vector A
    
    % Draw velocity vector A
    \draw[velocity] (\angleA:2.8) -- (A);
    \node[right, xshift=2pt] at (\angleA:2.2) {$4\mathrm{\,m\,s^{-1}}$};

% Draw angle arc and label for alpha
    \draw (180:0.5) arc (180:\angleA:0.5);
    \node at (147.5:0.75) {$\alpha$};

% --- Particle B ---
    \def\angleB{100} % Steeper angle for velocity vector B
    
    % Draw velocity vector B
    \draw[velocity] ($(B) + (\angleB:2.8)$) -- (B);
    \node[right, xshift=2pt] at ($(B) + (\angleB:2.2)$) {$2.6\mathrm{\,m\,s^{-1}}$};

% Draw angle arc and label for beta
    \draw ($(B) + (180:0.5)$) arc (180:\angleB:0.5);
    \node at ($(B) + (140:0.75)$) {$\beta$};

\end{tikzpicture}

26074 Q1 (OCR Further Mechanics AS 2018 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[>=latex, line join=round, line cap=round]

% Coordinates
    \coordinate (O) at (0, 0);
    \coordinate (V) at (0, -2.5); % End of dashed vertical line
    \coordinate (P) at (-75:4.5); % Position of mass P

% Draw dashed vertical line
    \draw[densely dashed, semithick] (O) -- (V);

% Draw pendulum string
    \draw[thick] (O) -- (P) node[midway, right=4pt] {$3.2\mathrm{\,m}$};

% Draw pivot point label
    \node[left=2pt] at (O) {$O$};

% Draw angle arc
    \draw (0, -1.2) arc (-90:-75:1.2);

% Draw angle label and curved pointer
    \node (angle_label) at (1.8, -0.8) {$15^\circ$};
    % Use a Bezier curve to match the specific "under-hook" shape from the image
    \draw[->, semithick] (1.7, -1.0) .. controls (1.7, -1.6) and (0.6, -1.6) .. (-80:1.2);

% Draw mass P
    \fill (P) circle (0.15);
    \node[right=4pt] at (P) {$P$};

% Draw velocity vector below P
    % Using coordinates relative to P to maintain the correct slope and position
    \coordinate (v_start) at ($(P) + (1.2, -0.9)$);
    \coordinate (v_end)   at ($(P) + (-0.5, -1.2)$);
    
    \draw[->, semithick] (v_start) -- (v_end);
    
    % Draw velocity label centered below the arrow
    \node[below=2pt] at ($(v_start)!0.5!(v_end)$) {$1.2\mathrm{\,m\,s^{-1}}$};

\end{tikzpicture}

26024 Q7 (OCR Further Statistics AS 2018 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[>=Stealth]
% Define scale: x-axis from 1 to 2.1, y-axis from 6 to 10
\def\xscale{8}
\def\yscale{1.5}

% Draw axes
\draw[->] (0,0) -- (8.8,0) node[right] {$c$};
\draw[->] (0,0) -- (0,6.3);

% x-axis: ranges from 1 to 2, with gridlines
% Map: c=1 -> x=0, c=2 -> x=8, so x = (c-1)*8
% y-axis: m=6 -> y=0, m=10 -> y=6, so y = (m-6)*1.5

% x-axis tick marks and labels
\foreach \c in {1, 1.2, 1.4, 1.6, 1.8, 2} {
  \pgfmathsetmacro{\xpos}{(\c - 1)*8}
  \draw (\xpos, -0.1) -- (\xpos, 0.1);
  \node[below] at (\xpos, -0.1) {$\c$};
}

% y-axis tick marks and labels
\foreach \m in {6, 6.5, 7, 7.5, 8, 8.5, 9, 9.5, 10} {
  \pgfmathsetmacro{\ypos}{(\m - 6)*1.5}
  \draw (-0.1, \ypos) -- (0.1, \ypos);
  \pgfmathsetmacro{\mval}{\m}
  \node[left] at (-0.1, \ypos) {$\pgfmathprintnumber[fixed,precision=1]{\mval}$};
}

% y-axis label
\node[left] at (-0.1, 6.3) {$m$};

% Grid lines (light gray)
\foreach \c in {1, 1.2, 1.4, 1.6, 1.8, 2} {
  \pgfmathsetmacro{\xpos}{(\c - 1)*8}
  \draw[gray!30] (\xpos, 0) -- (\xpos, 6);
}
\foreach \m in {6, 6.5, 7, 7.5, 8, 8.5, 9, 9.5, 10} {
  \pgfmathsetmacro{\ypos}{(\m - 6)*1.5}
  \draw[gray!30] (0, \ypos) -- (8, \ypos);
}

% Data points: (c, m)
% (1.94, 6.5) -> (7.52, 0.75)
\fill (7.52, 0.75) circle (3pt);
% (1.78, 7.2) -> (6.24, 1.8)
\fill (6.24, 1.8) circle (3pt);
% (1.62, 7.4) -> (4.96, 2.1)
\fill (4.96, 2.1) circle (3pt);
% (1.51, 7.6) -> (4.08, 2.4)
\fill (4.08, 2.4) circle (3pt);
% (1.52, 8.3) -> (4.16, 3.45)
\fill (4.16, 3.45) circle (3pt);
% (1.4, 9.7) -> (3.2, 5.55)
\fill (3.2, 5.55) circle (3pt);

\end{tikzpicture}

21210 Q2 (CAIE FP2 2015 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[
    >=Latex,
    line join=round, line cap=round,
    % Define a style for adding an arrow in the middle of a path
    arr/.style={postaction={decorate}, decoration={markings, mark=at position #1 with {\arrow{Latex}}}},
    arr/.default=0.55
]

% Define key coordinates
    \coordinate (Corner) at (5, 0);
    \coordinate (HA) at (5, 1.8);       % Hit point on Wall A
    \coordinate (HB) at (3.8, 0);       % Hit point on Wall B
    
    % The particle path coordinates
    \coordinate (Pstart) at (2.1, 4.7); % Start of the drawn trajectory line
    \coordinate (P) at (2.4, 4.4);      % Position of the particle
    \coordinate (Pend) at (1.5, 2.0);   % End of the drawn trajectory line

% Draw the walls (thick gray fill)
    \fill[gray] (-1.5, -0.2) rectangle (5.2, 0);
    \fill[gray] (5, 0) rectangle (5.2, 4.8);
    
    % Draw the inner solid black boundary lines
    \draw[thick] (-1.5, 0) -- (5, 0) -- (5, 4.8);

% Right angle symbol at the corner
    \draw (4.75, 0) -- (4.75, 0.25) -- (5, 0.25);

% Wall labels
    \node[right] at (5.2, 4.8) {$A$};
    \node[left] at (-1.5, 0) {$B$};

% Draw the trajectory with arrows
    % Segment 1
    \draw[arr=0.6] (Pstart) -- (HA) coordinate[pos=0.6] (Mid1);
    % Segment 2
    \draw[arr=0.55] (HA) -- (HB);
    % Segment 3
    \draw[arr=0.5] (HB) -- (Pend);

% Particle P dot and label
    \fill (P) circle (1.5pt);
    \node[above right, inner sep=1pt] at (P) {$P$};

% Velocity label 'u'
    \node[above right, xshift=1pt] at (Mid1) {$u$};

% Angle alpha
    \draw (5, 2.4) arc (90:135:0.6);
    \node at (4.65, 2.45) {$\alpha$};

\end{tikzpicture}

21025 Q4 (CAIE FP2 2010 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[>=Latex, semithick, line cap=round, line join=round]

% Define radii
    \def\rA{3}   % Radius of circle A (scales to 0.5m)
    \def\rB{1.8} % Radius of circle B (scales to 0.3m)
    
    % Define centers
    \coordinate (A) at (0,0);
    \coordinate (B) at (\rA+\rB, 0);
    \coordinate (Contact) at (\rA, 0);

% Draw the two circles
    \draw (A) circle (\rA);
    \draw (B) circle (\rB);

% Draw horizontal distance arrows
    % Arrow for 0.5 m
    \draw[<->] (A) -- (Contact) node[midway, above] {$0.5\mathrm{\,m}$};
    % Arrow for 0.3 m
    \draw[<->] (Contact) -- (B) node[midway, above] {$0.3\mathrm{\,m}$};

% Draw center labels
    \node[left=2pt] at (A) {$A$};
    \node[right=2pt] at (B) {$B$};

% Draw point P and its label
    \coordinate (P) at (60:\rA);
    \fill (P) circle (1.2pt);
    \node[above right=0pt] at (P) {$P$};

% Draw angular velocity arrow and label
    \draw[->] (155:\rA+0.6) arc (155:215:\rA+0.6) 
        node[pos=0.8, left=2pt] {$\frac{1}{2}t\mathrm{\,rad\,s^{-1}}$};

\end{tikzpicture}

15972 Q5 (Edexcel M3 2022 January) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[>=latex, line join=round, line cap=round]

% Define parameters for easy adjustment
    \def\HeightA{3.6}       % Height of point A
    \def\Px{3.4}            % X-coordinate of point P
    \def\Pradius{0.14}      % Radius of the black dot P
    
    % Define main coordinates
    \coordinate (O) at (0, 0);
    \coordinate (A) at (0, \HeightA);
    \coordinate (P) at (\Px, \Pradius); % Center of P is above the line by its radius

% Draw horizontal line (ground)
    \draw (-4.5, 0) -- (4.2, 0);

% Draw vertical dashed line
    \draw[densely dashed, semithick] (O) -- (A);

% Draw the solid slanted line
    \draw[semithick] (A) -- (P) node[midway, above right=1pt] {$a$};

% Draw the angle arc and label
    % Calculate the angle of the line AP from the vertical
    \pgfmathsetmacro{\myangle}{atan(\Px / (\HeightA - \Pradius))}
    \begin{scope}[shift={(A)}]
        % Draw arc starting from the vertical dashed line (-90 degrees)
        \draw (0, -1.6) arc (-90:{-90 + \myangle}:1.6);
        % Place the angle label roughly bisecting the arc
        \node at ({-90 + \myangle/2 + 2}:2.0) {$\theta^\circ$};
    \end{scope}

% Labels for A and O
    \node[above=2pt] at (A) {$A$};
    \node[below=2pt] at (O) {$O$};

% Draw the particle P (resting exactly on the horizontal line) and its label
    \fill (P) circle (\Pradius);
    \node[right=3pt] at (P) {$P$};

\end{tikzpicture}

15941 Q1 (Edexcel M3 2017 January) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

12196 Q6 (OCR S1 2006 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[
    >=Stealth,
    x=0.6cm, 
    y=0.55cm
]

% Grid lines (light) - drawn first so they remain behind the axes
    \foreach \x in {10,11,...,26} {
        \draw[gray!20, very thin] (\x, 0) -- (\x, 10.5);
    }
    \foreach \y in {0,1,...,10} {
        \draw[gray!20, very thin] (10, \y) -- (26.5, \y);
    }

% Axes
    \draw[->, thick] (10, 0) -- (27.5, 0) node[right] {$x$};
    \draw[->, thick] (10, 0) -- (10, 11.5) node[above] {$y$};

% X-axis tick marks and labels
    \foreach \x in {10, 15, 20, 25} {
        \draw[thick] (\x, 0) -- (\x, -0.2) node[below=2pt] {$\x$};
    }

% Y-axis tick marks and labels
    \foreach \y in {0, 5, 10} {
        \draw[thick] (10, \y) -- (9.8, \y) node[left=2pt] {$\y$};
    }

% Data points as crosses using standard TikZ plot marks
    \draw plot[only marks, mark=x, mark options={thick}, mark size=4pt] 
        coordinates {
            (12,10) 
            (13,7.5) 
            (14,6.5) 
            (15,5) 
            (16,4) 
            (21,2.5) 
            (24,1)
        };

\end{tikzpicture}

11566 Q6 (Edexcel M2 2022 January) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[>=Stealth, scale=0.18]
  % Define coordinates
  % A is at top, ADE goes down-left, ABC goes down-right
  % angle AEC = 90°, EC = 7a, ADE = 24a, ABC = 25a
  % ABD is a semicircular arc of radius 7a
  
  % Place E at origin, with AE vertical and EC horizontal (angle AEC = 90°)
  % AE = 24a, EC = 7a
  % Then AC = 25a (which checks out: 24² + 7² = 576 + 49 = 625 = 25²)
  
  \coordinate (E) at (0, 0);
  \coordinate (A) at (0, 24);
  \coordinate (C) at (7, 0);
  
  % ABC is straight from A to C, length 25a
  % B is on AC such that ABD is a semicircular arc of radius 7a
  % The semicircle has diameter AD where D is on AE
  % Center of semicircle is midpoint of AD
  % AB = arc starts at A, goes through B, ends at D
  % Since ABD is a semicircular arc of radius 7a, the diameter AD = 14a
  % D is on AE at distance 14a from A (since AD = 14a, ADE = 24a, so DE = 10a)
  
  \coordinate (D) at (0, 10); % 24 - 14 = 10 from E, i.e., y=10
  
  % Center of semicircle is midpoint of AD
  \coordinate (O) at (0, 17); % midpoint of A(0,24) and D(0,10)
  
  % B is on line AC. Direction from A to C: (7, -24)/25
  % B is at distance from A along AC such that |OB| = 7 (radius)
  % Parameterize: point on AC = A + t*(C - A) = (7t, 24 - 24t)
  % Distance from O(0,17): sqrt(49t² + (7-24t)²) = 7
  % 49t² + 49 - 336t + 576t² = 49
  % 625t² - 336t = 0
  % t(625t - 336) = 0 => t = 336/625
  
  \coordinate (B) at ({7*336/625}, {24 - 24*336/625});
  % B = (2352/625, 24 - 8064/625) = (3.7632, 11.0976)
  
  % Draw ADE (straight line from A to E)
  \draw[thick] (A) -- (E);
  
  % Draw EC (straight line from E to C)
  \draw[thick] (E) -- (C);
  
  % Draw ABC (straight line from A through B to C)
  \draw[thick] (A) -- (C);
  
  % Draw semicircular arc ABD
  % Center O at (0,17), radius 7a
  % A is at angle 90° from O, D is at angle 270° (or -90°)
  % The semicircle goes from A through B (on the right side) to D
  \draw[thick] (A) arc[start angle=90, end angle=-90, radius=7];
  
  % Labels
  \node[above] at (A) {$A$};
  \node[right] at (B) {$B$};
  \node[right] at (C) {$C$};
  \node[left] at (D) {$D$};
  \node[below left] at (E) {$E$};
  
  % Dimension label for ADE: 24a on the left
  \draw[<->] (-3, 0) -- (-3, 24);
  \node[left] at (-3, 12) {$24a$};
  
  % Dimension label for EC: 7a at bottom
  \draw[<->] (0, -3) -- (7, -3);
  \node[below] at (3.5, -3) {$7a$};
  
  % Right angle mark at E
  \draw (0, 1.5) -- (1.5, 1.5) -- (1.5, 0);
\end{tikzpicture}

11532 Q3 (Edexcel M2 2018 January) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

11512 Q4 (Edexcel M2 2015 January) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[line cap=round, line join=round]

% Define parameters for the shape
    \def\a{4}           % Length of the side 'a'
    \def\thetaAngle{40} % Angle \theta from the vertical axis

% Define coordinates based on the geometric properties
    % A is the origin
    \coordinate (A) at (0,0);
    
    % D is straight up from A, at distance 'a'
    \coordinate (D) at (0,\a);
    
    % B is rotated from the vertical by -\theta, at distance 'a' from A
    \coordinate (B) at (90-\thetaAngle:\a);
    
    % F is rotated from the vertical by \theta, at distance 'a' from A
    \coordinate (F) at (90+\thetaAngle:\a);
    
    % C is vertically above B by distance 'a'
    \coordinate (C) at ($(B)+(0,\a)$);
    
    % E is vertically above F by distance 'a'
    \coordinate (E) at ($(F)+(0,\a)$);

% Draw the main solid boundary lines
    \draw[thick] (A) -- (B) -- (C) -- (D) -- (E) -- (F) -- cycle;

% Draw the dashed line of symmetry
    \draw[thick, dashed] (A) -- (D);

% Add vertex labels
    \node[below, yshift=-2pt] at (A) {$A$};
    \node[right, xshift=2pt]  at (B) {$B$};
    \node[above right]        at (C) {$C$};
    \node[above, yshift=2pt]  at (D) {$D$};
    \node[above left]         at (E) {$E$};
    \node[left, xshift=-2pt]  at (F) {$F$};

% Add side length labels 'a'
    % The positions are chosen to match the reference image visually
    \path (A) -- (B) node[midway, below right=1pt] {$a$};
    \path (B) -- (C) node[midway, right=2pt]       {$a$};
    \path (D) -- (C) node[midway, above left=1pt]  {$a$};
    \path (D) -- (E) node[midway, above right=1pt] {$a$};
    \path (E) -- (F) node[midway, left=2pt]        {$a$};
    \path (F) -- (A) node[midway, below left=1pt]  {$a$};

% Add angle arcs and labels for \theta
    \def\arcRad{0.6} % Radius for the angle arcs
    
    % Right angle \theta
    \draw (90-\thetaAngle:\arcRad) arc (90-\thetaAngle:90:\arcRad);
    \node at (90-\thetaAngle/2:\arcRad+0.25) {$\theta$};
    
    % Left angle \theta
    \draw (90:\arcRad) arc (90:90+\thetaAngle:\arcRad);
    \node at (90+\thetaAngle/2:\arcRad+0.25) {$\theta$};

\end{tikzpicture}

7588 Q4 (CAIE S2 2019 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

5898 Q2 (CAIE M2 2017 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[>=Stealth, scale=1.8]
    % Define coordinates based on the 60-degree angle and 0.7m length
    % Let 0.7m be represented by 4 units for better visibility
    \pgfmathsetmacro{\len}{4}
    \coordinate (A) at (0, {\len*cos(60)});
    \coordinate (B) at (0, {-\len*cos(60)});
    \coordinate (P) at ({\len*sin(60)}, 0);
    \coordinate (M) at (0, 0);

% Draw dashed lines
    \draw[thick, dashed] (A) -- (B);
    \draw[thick, dashed] (M) -- (P);

% Draw solid lines with mid-way arrowheads
    \draw[thick, decoration={
        markings,
        mark=at position 0.6 with {\arrow{>}}
    }, postaction={decorate}] (P) -- (A);
    
    \draw[thick, decoration={
        markings,
        mark=at position 0.6 with {\arrow{>}}
    }, postaction={decorate}] (P) -- (B);

% Draw point P
    \fill (P) circle (2pt) node[right=5pt, font=\Large] {$P$};

% Node labels A and B
    \node[left=3pt, font=\Large] at (A) {$A$};
    \node[left=3pt, font=\Large] at (B) {$B$};

% Draw angles with labels
    \draw (0, 1.4) arc (-90:-30:0.6);
    \node at (0.35, 1.25) {\Large $60^\circ$};
    
    \draw (0, -1.4) arc (90:30:0.6);
    \node at (0.35, -1.25) {\Large $60^\circ$};

% Distance labels (0.7 m)
    \node[above] at ($(A)!0.2!(P)+(0.1, .1)$) {$0.7{ m}$};
    \node[below] at ($(B)!0.2!(P)+(0.1, -.1)$) {$0.7{ m}$};

% Force labels (6 N and 4 N)
    \node[below] at ($(P)!0.6!(A)+(0,-.1)$) {$6{ N}$};
    \node[above] at ($(P)!0.6!(B)+(0,.1)$) {$4{ N}$};

\end{tikzpicture}

5763 Q2 (CAIE M2 2010 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[scale=1.2, >=latex]
  % Define the angle of inclination
  \def\angle{35}
  
  % Draw the horizontal ground reference line
  \draw[dashed] (0,0) -- (5,0);
  
  % Draw the inclined plane (ramp)
  \draw[very thick] (0,0) -- (\angle:7.5);
  
  % Draw the 35 degree angle arc and label
  \draw (0.8,0) arc (0:\angle:0.8);
  \node at (17.5:1.2) {$35^\circ$};
  
  % Use a rotated scope to easily draw the triangle relative to the ramp
  \begin{scope}[rotate=\angle]
    % Coordinates on the ramp
    \coordinate (F) at (4.5,0);      % Foot of the altitude
    \coordinate (P) at (4.5,5.5);    % Top vertex (representing 30 cm height)
    \coordinate (V1) at (3.2,0);     % Left base vertex
    \coordinate (V2) at (6.3,0);     % Right base vertex
    
    % Draw the main triangle sides
    \draw[thick] (V1) -- (P) -- (V2);
    
    % Draw the dashed altitude line
    \draw[dashed] (P) -- (F);
    
    % Draw the right-angle symbol at the foot of the altitude
    \draw (F) ++(-0.25,0) -- ++(0,0.25) -- ++(0.25,0);
    
    % Label: 30 cm (parallel to the altitude, on its right side)
    % Drawing from P to F ensures 'above' places the label to the right
    \path (P) -- (F) node[pos=.7, rotate=-55, above, font=\small] {30 cm};
    
    % Label: r cm (parallel to the base, between foot F and vertex V2)
    \path (F) -- (V2) node[midway, rotate=35, above, font=\small, yshift=2pt] {$r$ cm};
  \end{scope}
  
\end{tikzpicture}

5759 Q4 (CAIE M2 2009 June) — image 0

approved

Source (PDF)

Rendered TikZ

TikZ Code

\begin{tikzpicture}[>=Stealth]
  % Main circle (sphere cross-section)
  \coordinate (C) at (0,0); % centre of sphere
  \coordinate (H) at (0,-0.3*4); % centre of horizontal circle, 0.3 m below centre (scaled by 4)
  
  \def\R{2} % radius of sphere scaled (0.5 m * 4)
  \def\d{1.2} % 0.3 m * 4 = vertical distance below centre
  
  % Radius of horizontal circle: sqrt(0.5^2 - 0.3^2) = 0.4 m, scaled by 4 = 1.6
  \def\r{1.6}
  
  % Draw the outer circle (sphere)
  \draw[thick] (C) circle (\R);
  
  % Draw the horizontal dashed circle (as an ellipse seen from an angle)
  \draw[dashed] (H) ellipse ({\r} and {0.35});
  
  % Draw radius line from centre to a point on the circle (upper right)
  \coordinate (P) at ({\r*cos(30)}, {-\d + \r*sin(30)*0.35/\r});
  % Actually, let's draw a line from centre to the sphere surface to show 0.5 m
  \coordinate (S) at ({1.2}, {1.6}); % a point on the sphere, upper right area
  % Better approach: draw the radius to a point on the sphere
  % Point on sphere at some angle
  \pgfmathsetmacro{\ang}{50}
  \coordinate (S) at ({\R*cos(\ang)}, {\R*sin(\ang)});
  
  \draw[dashed] (C) -- (S);
  \node[right] at ({0.5*\R*cos(\ang)+0.15}, {0.5*\R*sin(\ang)+0.1}) {$0.5\,\mathrm{m}$};
  
  % Draw vertical dashed line from centre down to H showing 0.3 m
  \draw[dashed] (C) -- (H);
  
  % Mark the 0.3 m distance
  \node[left] at (-0.15, {-\d/2}) {$0.3\,\mathrm{m}$};
  
  % Small tick marks or braces for 0.3 m
  \draw ({-0.08},0) -- ({0.08},0);
  \draw ({-0.08},{-\d}) -- ({0.08},{-\d});
  
  % Draw a line from centre of sphere to the particle on the horizontal circle (on the sphere surface)
  % The particle sits where the horizontal circle meets the sphere
  \coordinate (Part) at ({\r}, {-\d});
  
  % Draw line from C to particle
  \draw[dashed] (C) -- (Part);
  
  % Draw the particle as a filled dot
  \fill (Part) circle (0.06);
  
  % Small marks at centre
  \fill (C) circle (0.04);
  \fill (H) circle (0.04);
  
\end{tikzpicture}

Diagram Generations 21

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code

Source (PDF)

Rendered TikZ

TikZ Code