Download - TEST 1 - Add Maths - Form 4 2016
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SULIT 3472
3472
Matematik Tambahan
Mac 2016
2 Jam
SEKOLAH MENENGAH SETIABUDI
UJIAN 1
2016
MATEMATIK TAMBAHAN
Dua Jam
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
1. Kertas soalan ini adalah dalam dwibahasa
2. Calon dikehendaki menjawab semua soalan
KERTAS SOALAN INI MENGANDUNGI 11 HALAMAN BERCETAK
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SULIT 3472
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SEKOLAH MENENGAH SETIABUDI
TEST 1 (MARCH 2016)
ADDITIONAL MATHEMATICSFORM 4
2 HOURS
NAME: .. CLASS: .
1. Rearrange the quadratic equations into the general form [4 marks]
Susun semula persamaan kuadratik di bawah kepada persamaan am.
a) 4x5 =x2
b)8
2 5= -3x2
c) x(x+ 7) = 10
Answer:
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examiner
use
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2. Solve the following quadratic equations by factorization
Selesaikan persamaan kuadratik di bawah menggunakan kaedah pemfaktoran
a) x25x10 = -4 [4 marks]
b)2+7
32=x [4 marks]
Answer:
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examiner
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3. Determine types of roots for the following quadratic equations.
Tentukan jenis punca persamaan kuadratik di bawah.
a) 4x25x+ 1 = 0 [2 marks]
b) 3x2+ 2x+ 6 = 0 [2 marks]
c) x
2
+ 4x+ 4 = 0 [2 marks]d) 5x8 =x2 [2 marks]
e) (x3)(2x+ 1) = 6x [2 marks]
Answer:
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4. Solve the following quadratic equations by completing the square.
Selesaikan persamaan kuadratik di bawah menggunakan kaedah penyempurnaan kuasa dua.
a) 5x2+ 10x3 = 0 [4 marks]
b) 2x25x6 = 0 [4 marks]
Answer:
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5. Solve the following quadratic equations by using quadratic formula. Give your answer in
four significant figures.
Selesaikan persamaan kuadratik di bawah menggunakan formula kuadratik. Berikan jawapan di dalam
empat angka bererti.
a) (x+ 1)(x5) = 15 [4 marks]b)
+32
1= 3 [4 marks]
Answer:
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6. If the roots of 2x2+ 4x1 = 0 are and , find the equations whose roots are
Jika punca persamaan 2x2+4x -1 =0 adalah dan , cari persamaan kuadratik dengan punca baru
a) 2and 2 [3 marks]
b) and [3 marks]
Answer:
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7. Find the value ofpif one root ofx2+px+ 8 = 0 is the square of the other root.
Hitung nilai p jika punca persamaan x2+ px + 8 =0 adalah kuasa dua punca yang satu lagi.
[4 marks]
Answer:
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8. If one root of 2x2+px+ 9 = 0 is twice of the other roots, find the values ofp.
Jika satu punca 2x2+ px + 9 = 0 ialah 2 kali punca yang satu lagi, hitung nilai p.
[4 marks]
Answer:
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9. The quadratic equationx24x1 = 2p(x5), wherepis a constant, has two equal
roots. Calculate the possible values ofp.
Diberi persamaan kuadratik x24x1 = 2p(x5), dan p ialah pemalar, mempunyai dua punca yang
sama. Hitung nilai-nilai yang mungkin bagi p.
[4 marks]
Answer:
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10. Find the range of values ofpfor which the equation 2x2+ 5x+ 3p= 0 has two real
distinct roots.
Hitung julat nilai bagi p jika persamaan 2x2+ 5x + 3p = 0 mempunyai dua punca yang sama.
[4 marks]
Answer:
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11. Find the range of values of kfor which the equationx22kx+ k2+ 5k6 = 0 has no real
roots.
Hitung julat nilai k jika persamaan x22kx + k2+ 5k6 = 0 tidak mempunyai punca yang nyata.
[4 marks]
Answer:
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12. Find the range of values ofpfor which the equation 5x2+ 7x3p = 6 has no real roots.
Hitung julat nilai p bagi persamaan 5x2+ 7x3p = 6 yang tidak mempunyai punca yang nyata.
[4 marks]
Answer:
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13. Show that 6x62kx2=x2has no real roots [4 marks]
Tunjukkan 6x62kx2= x2tidak mempunyai punca yang nyata.
Answer:
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14. The quadratic equationx2+px+ q= 0 has roots -2 and 6. Find
Persamaan kuadratik x2+ px + q = 0 mempunyai punca -2 dan 6. Hitung
a) the value ofp and q, [4 marks]
nilai p dan q
b) the range of values of r for which the equationx2+px+ q= r has no real roots.
Julat nilai r untuk persamaan x2+ px + q = r yang tidak mempunyai punca yang nyata.
[4 marks]
Answer:
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END OF QUESTIONS
Prepared by,
.......
Muhammad Hafidz bin Mukhtar
Subject Teacher
Verified by,
.......
Mohd Shah Nizam bin Hajar
Department Coordinator