Olimpiade Smart Student MTK
Authored by eliza yuliani
Mathematics
9th - 12th Grade
Used 2+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
1. Jika x1 dan x2 solusi persamaan 3.9x + 91-x = 28 maka x1 + x2 = …
A. – ½
B. 0
C. ½
D. 1
E. 1½
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
2. Jika x1 dan x2 adalah akar-akar persamaan (5 – 2 log x)log x = log 1.000, maka x12 + x22 = …
A. 0
B. 10
C. 100
D. 1000
E. 1100
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
3. Banyak parabola Ax2 + Cy = 0 dengan A dan C dua bilangan berbeda dari {0, 1, 4, 16} adalah …
A. 10
B. 8
C. 6
D. 4
E. 3
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
4. Banyak bilangan bulat x yang memenuhi pertidaksamaan adalah …
A. 3
B. 4
C. 5
D. 6
E. 7
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
5. 1. ika x = a, y = b, dan z = c adalah penyelesaian dari sistem persamaan linear :
Maka nilai a2 + b2 + c2 sama dengan …
A. 6
B. 9
C. 11
D. 14
E. 19
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
6. Untuk membuat barang A diperlukan 6 jam kerja mesin I dan 4 jam kerja mesin II, sedangkan untuk barang B diperlukan 4 jam kerja mesin I dan 8 jam kerja mesin II. Setiap hari kedua mesin tersebut bekerja tidak lebih dari 18 jam. Jika setiap hari dapat dihasilkan x barang A, y barang B, maka model matematikanya adalah system pertidaksamaan …
A. 6x + 4y ≤ 18, 2x + 8y ≤ 18, x ≥ 0, dan y ≥ 0
B. 3x + 2y ≤ 9, 2x + 4y ≤ 9, x ≥ 0, dan y ≥ 0
C. 2x + 3y ≤ 9, 4x + 2y ≤ 9, x ≥ 0, dan y ≥ 0
D. 3x + 4y ≤ 9, 2x + 2y ≤ 9, x ≥ 0, dan y ≥ 0
E. 2x + 3y ≤ 9, 2x + 4y ≤ 9, x ≥ 0, dan y ≥ 0
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
7. Jika f(2x + 4) = x dan g(3 – x) = x, maka f(g(1)) + g(f(2)) sama dengan …
A. 2
B. 3
C. 4
D. 5
E. 6
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