# SPM Mathematics Trial 2021 (Selangor), Paper 2 (Question 3 & 4)

Question 3:
(a) Diana uses 1.26 m of red ribbon to stick around a circular shaped cardboard. Calculate the radius, in m, of the cardboard.
( Use π = 3.142)
(4 marks)

(b) Diana noticed that the site of a recreational park built near her house is round in shape and has a centre, O. There is a square shaped line measuring 30 m of length painted on the recreation area as shown in Diagram 2. The shaded area in Diagram 2 is tiled. Radius of the smaller circle is 11 m.

Calculate the tiled area. (Use π=3.142 )
(3 marks)

Solution:
(a)

(b)

Soalan 4:
(a) Complete the following statements by using a proper quantifier to form a true statement.
(i)  ………………….. state flags in Malaysia has red colour.
(ii) ………………….. polygons have equal number of axis as the number of sides.
[2 marks]

(b) Write down Premise 2 to complete the following argument:
Premise 1 : If n is a perfect square, then square root of n is an integer.
Premise 2 : ……………………………………………………………………………..
Conclusion : Square root of 81 is an integer.
[1 mark]

(c) Write down the converse of the following implication.

 If △PQR is an equilateral triangle, then the value of each interior angle is 60∘.
[1 mark]

Penyelesaian:
(a)(i)  Some  state flags in Malaysia has red colour.

(a)(ii) Some  polygons have equal number of axis as the number of sides.

(b) Premise 2 : 81 is a perfect square.

(c) Converse of the implication : If the value of each interior angle is 60, then △ PQR is an equilateral triangle.