√ Try Out Saintek 3

By astagadragon Sabtu, 17 Maret 2018 Add Comment Edit

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SBMPTN SAINTEK 2013

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1. Question

4 points

Category: Matematika SBMPTN1

Persamaan bundar dengan pusat (- 1, 1) dan menyinggung garis 3x-4y+12 = 0 adalah….

type="radio"
name="question_3_59"
value="1"> x₂ + y₂+ 2x - 2y + 1 =0

type="radio"
name="question_3_59"
value="2"> x₂ + y₂ + 2x - 2y -7 = 0

type="radio"
name="question_3_59"
value="3"> 4x₂ + 4y₂ + 8x - 8y - 17 = 0

type="radio"
name="question_3_59"
value="4"> x₂ + y₂ + 2x - 2y - 2 = 0

type="radio"
name="question_3_59"
value="5"> 4x₂ + 4y₂ + 8x - 8y -1 = 0

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2. Question

4 points

Category: Matematika SBMPTN1

Cot 105^o tan 15^o =….

type="radio"
name="question_3_1326"
value="1"> $-7 + 4\sqrt{3}$

type="radio"
name="question_3_1326"
value="2"> $7 + 4\sqrt{3}$

type="radio"
name="question_3_1326"
value="3"> $7 - 4\sqrt{3}$

type="radio"
name="question_3_1326"
value="4"> $-7 - 4\sqrt{3}$

type="radio"
name="question_3_1326"
value="5"> $-7 + 2\sqrt{3}$

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3. Question

4 points

Category: Matematika SBMPTN1

Enam anak, 3 pria dan 3 perempuan, duduk berjajar. Peluang 3 wanita duduk berdampingan adalah….

type="radio"
name="question_3_86"
value="1"> 1/60

type="radio"
name="question_3_86"
value="2"> 1/30

type="radio"
name="question_3_86"
value="3"> 1/15

type="radio"
name="question_3_86"
value="4"> 1/10

type="radio"
name="question_3_86"
value="5"> 1/5

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4. Question

4 points

Category: Matematika SBMPTN1

Dalam segitiga ABC diketahui 3 sin A + 4 cos B = 6 dan 3 cos A + 4 sin B = $\sqrt{13}$ . Nilai sin C adalah….

type="radio"
name="question_3_1327"
value="1"> $\frac{1}{2}$

type="radio"
name="question_3_1327"
value="2"> $\frac{1}{2}\sqrt{2}$

type="radio"
name="question_3_1327"
value="3"> $\frac{1}{2}\sqrt{3}$

type="radio"
name="question_3_1327"
value="4"> $\sqrt{3}$

type="radio"
name="question_3_1327"
value="5"> 1

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5. Question

4 points

Category: Matematika SBMPTN1

Diketahui A(-3, 0, 0), B(0, 3, 0), dan (0, 0, 8). Panjang vektor proyeksi $√ Try Out Saintek 3$ ke vektor $\overrightarrow{AB}$ adalah….

type="radio"
name="question_3_1328"
value="1"> $2\sqrt{2}$

type="radio"
name="question_3_1328"
value="2"> $\frac{3\sqrt{2}}{2}$

type="radio"
name="question_3_1328"
value="3"> $\frac{\sqrt{2}}{3}$

type="radio"
name="question_3_1328"
value="4"> $\sqrt{2}$

type="radio"
name="question_3_1328"
value="5"> $\frac{\sqrt{3}}{2}$

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6. Question

4 points

Category: Matematika SBMPTN1

Transformasi T merupakan transformasi percerminan terhadap garis y = -2x dilanjutkan pencerminan terhadap garis y =x/2 . Matriks penyajian T adalah….

type="radio"
name="question_3_1329"
value="1"> $\begin{pmatrix} -1 & 0 \\ 0 & 1 \end{pmatrix}$

type="radio"
name="question_3_1329"
value="2"> $\begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}$

type="radio"
name="question_3_1329"
value="3"> $\begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix}$

type="radio"
name="question_3_1329"
value="4"> $\begin{pmatrix} 0 & -1 \\ -1 & 0 \end{pmatrix}$

type="radio"
name="question_3_1329"
value="5"> $\begin{pmatrix} -1 & 0 \\ 0 & -1 \end{pmatrix}$

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7. Question

4 points

Category: Matematika SBMPTN1

Diberikan bidang empat beraturan T.ABC dengan panjang rusuk a. Jika titik P yaitu titik tengah rusuk AC, maka jarak titik P garis BT adalah….

type="radio"
name="question_3_1330"
value="1"> $\frac{a}{2}\sqrt{2}$

type="radio"
name="question_3_1330"
value="2"> $\frac{a}{3}\sqrt{2}$

type="radio"
name="question_3_1330"
value="3"> $\frac{a}{4}\sqrt{2}$

type="radio"
name="question_3_1330"
value="4"> $\frac{a}{2}\sqrt{3}$

type="radio"
name="question_3_1330"
value="5"> $\frac{a}{3}\sqrt{3}$

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8. Question

4 points

Category: Matematika SBMPTN1

Jika x⁴+ ax³+(b – 14)x²+ 28x – 5 = f(x)(x – 1) dengan f(x) habis dibagi x- 1 , maka nilai a adalah…

type="radio"
name="question_3_91"
value="1"> -4

type="radio"
name="question_3_91"
value="2"> -2

type="radio"
name="question_3_91"
value="3"> 0

type="radio"
name="question_3_91"
value="4"> 2

type="radio"
name="question_3_91"
value="5"> 4

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9. Question

4 points

Category: Matematika SBMPTN1

$\lim_{x\rightarrow 0}\frac{cos x - cos 3x}{x^{2}\sqrt{4-x}}=$

type="radio"
name="question_3_1331"
value="1"> -2

type="radio"
name="question_3_1331"
value="2"> -1/2

type="radio"
name="question_3_1331"
value="3"> 1/2

type="radio"
name="question_3_1331"
value="4"> 1

type="radio"
name="question_3_1331"
value="5"> 2

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10. Question

4 points

Category: Matematika SBMPTN1

Diketahui f(x) = 1/3 x³ + x² – 3x + 11. Jika g(x) = f(1-x) maka g naik pada….

type="radio"
name="question_3_93"
value="1"> -3 ≤ x ≤ 1

type="radio"
name="question_3_93"
value="2"> 0 ≤ x ≤ 2

type="radio"
name="question_3_93"
value="3"> -3 ≤ x ≤ 3

type="radio"
name="question_3_93"
value="4"> 0 ≤ x ≤ 5

type="radio"
name="question_3_93"
value="5"> -4 ≤ x ≤ 0

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11. Question

4 points

Category: Matematika SBMPTN1

$\int {}$ 4 sin x cos² 2x dx =

type="radio"
name="question_3_1332"
value="1"> 1/5 cos 5x + 1/3 cos 3x - 2cos x + C

type="radio"
name="question_3_1332"
value="2"> cos 5x + cos 3x - 2 cos x + C

type="radio"
name="question_3_1332"
value="3"> -cos 5x + cos 3x - 2 cos x + C

type="radio"
name="question_3_1332"
value="4"> -1/5 cos 5x + 1/3 cos 3x - 2 cos x + C

type="radio"
name="question_3_1332"
value="5"> -1/5 cos 5x + 1/3 cos 3x + 2 cos x + C

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12. Question

4 points

Category: Matematika SBMPTN1

luas kawasan yang dibatasi oleh kurva y = 6 – x²dan y=5|x| adalah….

type="radio"
name="question_3_1333"
value="1"> $\int_{0}^{1} \left ( -x^{2} + 5x + 6 \right )dx$

type="radio"
name="question_3_1333"
value="2"> $\int_{-1}^{0} \left ( -x^{2} + 5x + 6 \right )dx$

type="radio"
name="question_3_1333"
value="3"> $2\int_{-1}^{0} \left ( -x^{2} + 5x + 6 \right )dx$

type="radio"
name="question_3_1333"
value="4"> $\int_{-1}^{1} \left ( -x^{2} + 5x + 6 \right )dx$

type="radio"
name="question_3_1333"
value="5"> $2\int_{-1}^{0} \left ( -x^{2} - 5x + 6 \right )dx$

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13. Question

4 points

Category: Matematika SBMPTN1

Banyak bilangan ratusan dengan angka pertama dan kedua mempunyai selisih 2 atau 3 adalah….

type="radio"
name="question_3_96"
value="1"> 300

type="radio"
name="question_3_96"
value="2"> 280

type="radio"
name="question_3_96"
value="3"> 260

type="radio"
name="question_3_96"
value="4"> 252

type="radio"
name="question_3_96"
value="5"> 150

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14. Question

4 points

Category: Matematika SBMPTN1

Diketahui F(x) = (a+1)x³ = 3bx² -9x. Jika F”(x) habis dbagi x+1, maka kurva y = F(x) tidak mempunyai titik ekstrem lokal jika….

type="radio"
name="question_3_97"
value="1"> -3 < b < 0

type="radio"
name="question_3_97"
value="2"> -4 < b < -1

type="radio"
name="question_3_97"
value="3"> 0 < b < 3

type="radio"
name="question_3_97"
value="4"> -4 < b < 0

type="radio"
name="question_3_97"
value="5"> 1 < b < 4

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