IB myp 4-5 MATHEMATICS – Practice Questions- All Topics
Topic :Geometry-Metric Conversions
Topic :Geometry- Weightage : 21 %
All Questions for Topic : Metric conversions,Volume of regular polyhedra,Similarity and congruence,Coordinate geometry, including distance, midpoint and gradient formulae,Movement on a plane- isometric transformations, enlargements and tessellations,y=m x+c, gradients and intercepts (see also functions),Gradient of parallel lines,Circle geometry,Rotation around a given point
Question (10 marks)
Question (a) : 2 marks
The diagram below shows squares $\mathrm{ACEF}$, $\mathrm{A B H G}$ and $\mathrm{B C D I}$.
The large square shown has side $A C=20 \mathrm{~cm} . A B$ has length $15 \mathrm{~cm}$.
Show that the perimeter of the shaded shape is $70 \mathrm{~cm}$.
▶️Answer/Explanation
Ans:
Adding all the sides of shaded region , $20+5+15+10+5+15=70 \rm{cm}$
Question (b) : 2 marks
On the simulator below, use the slider to change the length of $A B$ and see the corresponding length of the perimeter of the shaded shape when $A C$ is $20 \mathrm{~cm}$.
Write down the missing values in the table when the length of $\rm{AB}$ is $\rm{L}=14 \mathrm{~cm}$.
▶️Answer/Explanation
Ans:
$\text{6 and 68}$