Page 10 - Top Class Mathematics F4

Questions based on new SPM 2021
format (following the instrument sample)
Mathematics Form 4 Year-End Assessment

Paper 2
Kertas 2
2 hours 30 minutes
2 jam 30 minit

Section A
Bahagian A
[40 marks]
[40 markah]
Answer all questions in this section.
Jawab semua soalan dalam bahagian ini.

1. The Venn diagram in the answer space shows universal set j, set P, set Q and set R. On the diagram given,
shade the set
Gambar rajah Venn di ruang jawapan menunjukkan set semesta j, set P, set Q dan set R. Pada rajah yang diberi, lorekkan set
[3 marks / 3 markah]

Answer / Jawapan:
(a) P > Q (b) P > (Q9 < R)

P Q P Q

R R

2. Solve the following quadratic equation.
Selesaikan persamaan kuadratik yang berikut.
4x + 3
5x =
x – 2
[4 marks / 4 markah]
Answer / Jawapan:
4x + 3
5x =
x – 2
5x(x – 2) = 4x + 3
5x – 10x = 4x + 3
2
5x – 10x – 4x – 3 = 0
2
5x – 14x – 3 = 0
2
(x – 3)(5x + 1) = 0
1
x = 3 or / atau x = –
5

3. (a) For each of the following statement, state whether the statement is true or false.
Bagi setiap pernyataan yang berikut, nyatakan sama ada pernyataan tersebut adalah benar atau palsu.
8
2
(i) 8 = 16 or / atau = 4
2
(ii) (–6)(–3) = 18 and / dan –6  –3
(b) Write down the contrapositive of the following implication:
Tulis kontrapositif bagi implikasi yang berikut:
If 10 is an even number, then 10 is divisible by 2.
Jika 10 ialah nombor genap, maka 10 boleh dibahagi tepat dengan 2.

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