Question 1 (3 marks):
(a) It is given that set E = {perfect square numbers} and set F = {9, 16, 25}.
Complete the Venn diagram in the answer space to show the relationship between set E and set F.
Answer:
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/10/Picture12-300x182.png)
(b) The Venn diagram in Diagram 1 shows the sets X, set Y and set Z.
The universal set, ξ = X U Y U Z.
Diagram 1
State the relationship represented by the shaded region between sets X, set Y and set Z.
Solution:
(a)
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/10/Picture4-300x198.png)
(b)
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/10/Picture5.png)
Hence, relationship represented by the shaded region between sets X, set Y and set Z are (X ∩ Y) ∪ Z.
(a) It is given that set E = {perfect square numbers} and set F = {9, 16, 25}.
Complete the Venn diagram in the answer space to show the relationship between set E and set F.
Answer:
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/10/Picture12-300x182.png)
(b) The Venn diagram in Diagram 1 shows the sets X, set Y and set Z.
The universal set, ξ = X U Y U Z.
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/10/Picture11.png)
State the relationship represented by the shaded region between sets X, set Y and set Z.
Solution:
(a)
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/10/Picture4-300x198.png)
(b)
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/10/Picture5.png)
Hence, relationship represented by the shaded region between sets X, set Y and set Z are (X ∩ Y) ∪ Z.
Question 2 (3 marks):
Diagram 2 shows a cuboid PQRSTUVW on a horizontal plane. Point N is the midpoint of QR.
Diagram 2
(a) Name the angle between the plane TWN and the plane PQRS.
(b) Calculate the angle between the plane TWN and the plane PQRS.
Solution:
(a)
Angle between the plane TWN and the plane PQRS
= ∠ WNR
(b)
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/09/Picture19-292x300.png)
Diagram 2 shows a cuboid PQRSTUVW on a horizontal plane. Point N is the midpoint of QR.
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/09/Picture17-1.png)
(a) Name the angle between the plane TWN and the plane PQRS.
(b) Calculate the angle between the plane TWN and the plane PQRS.
Solution:
(a)
Angle between the plane TWN and the plane PQRS
= ∠ WNR
(b)
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/09/Picture19-292x300.png)