Diketahui f ( x ) = 1 x + 1 , x ≠ − 1 f\left(x\right)=\frac{1}{x+1},\ x\ne-1 f ( x ) = x + 1 1 , x  = − 1 dan g ( x ) = 2 3 − x , x ≠ 3 g\left(x\right)=\frac{2}{3-x},\ x\ne3 g ( x ) = 3 − x 2 , x  = 3 maka ( f o g ) − 1 ( x ) = . . . . \left(fog\right)^{-1}\left(x\right)=.... ( f o g ) − 1 ( x ) = . . . .

5 x − 3 x − 1 , x ≠ 1 \frac{5x-3}{x-1},x\ne1 x − 1 5 x − 3 , x  = 1

5 x − 3 1 − x , x ≠ 1 \frac{5x-3}{1-x},x\ne1 1 − x 5 x − 3 , x  = 1

3 x − 5 x − 1 , x ≠ 1 \frac{3x-5}{x-1},x\ne1 x − 1 3 x − 5 , x  = 1

x − 5 3 x − 1 , x ≠ 1 3 \frac{x-5}{3x-1},x\ne\frac{1}{3} 3 x − 1 x − 5 , x  = 3 1

3 x − 5 3 x − 1 , x ≠ 1 3 \frac{3x-5}{3x-1},x\ne\frac{1}{3} 3 x − 1 3 x − 5 , x  = 3 1

Persamaan garis singgung kurva y = 2x 3 – 4x 2 di titik yang berabsis 2 adalah ….

y = 8 x − 16 y=8x-16 y = 8 x − 1 6

y = 6 x + 16 y=6x+16 y = 6 x + 1 6

y = − 6 x + 16 y=-6x+16 y = − 6 x + 1 6

y = − 8 x − 16 y=-8x-16 y = − 8 x − 1 6

y = 10 x − 8 y=10x-8 y = 1 0 x − 8

Persamaan garis singgung kurva f(x) = 2x 2 – 7x + 1 yang sejajar dengan garis y – 5x = 4 adalah ….

y − 5 x + 17 = 0 y-5x+17=0 y − 5 x + 1 7 = 0

y − 5 x − 17 = 0 y-5x-17=0 y − 5 x − 1 7 = 0

y − 5 x − 15 = 0 y-5x-15=0 y − 5 x − 1 5 = 0

y − 5 x − 13 = 0 y-5x-13=0 y − 5 x − 1 3 = 0

y − 5 x + 15 = 0 y-5x+15=0 y − 5 x + 1 5 = 0

Jika sin ⁡ a o = 1 3 d a n 9 0 o < α < 18 0 o , m a k a tan ⁡ a o = . . . . \sin\ a^o=\frac{1}{3}\ dan\ 90^o<\alpha<180^o,\ maka\ \tan\ a^o=.... sin a o = 3 1 d a n 9 0 o < α < 1 8 0 o , m a k a tan a o = . . . .

− 1 4 2 -\frac{1}{4}\sqrt{2} − 4 1 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 2 3 \frac{2\sqrt{2}}{3} 3 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

1 4 2 \frac{1}{4}\sqrt{2} 4 1 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 2 2 3 -\frac{2\sqrt{2}}{3} − 3 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 1 2 2 -\frac{1}{2}\sqrt{2} − 2 1 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Persamaan grafik fungsi trigonometri pada gambar adalah ….

y = sin ⁡ ( x + 60 ) o y=\sin\ \left(x+60\right)^o y = sin ( x + 6 0 ) o

y = sin ⁡ ( x − 60 ) o y=\sin\ \left(x-60\right)^o y = sin ( x − 6 0 ) o

y = cos ⁡ ( x + 60 ) o y=\cos\ \left(x+60\right)^o y = cos ( x + 6 0 ) o

y = sin ⁡ ( x − 60 ) o y=\sin\ \left(x-60\right)^o y = sin ( x − 6 0 ) o

y = − cos ⁡ ( x − 60 ) o y=-\cos\ \left(x-60\right)^o y = − cos ( x − 6 0 ) o

Persamaan grafik dari gambar di bawah ini adalah ....

y = − 3 2 cos ⁡ ( 2 x + π 2 ) y=-\frac{3}{2}\cos\ \left(2x+\frac{\pi}{2}\right) y = − 2 3 cos ( 2 x + 2 π )

y = 3 2 sin ⁡ x y=\frac{3}{2}\sin\ x y = 2 3 sin x

y = sin ⁡ 2 x y=\sin\ 2x y = sin 2 x

y = sin ⁡ ( x + π 2 ) y=\sin\ \left(x+\frac{\pi}{2}\right) y = sin ( x + 2 π )

y = 3 2 cos ⁡ ( 2 x + π 2 ) y=\frac{3}{2}\cos\ \left(2x+\frac{\pi}{2}\right) y = 2 3 cos ( 2 x + 2 π )

Diketahui segitiga ABC dengan panjang AC = 8 cm, AB = 6 cm dan luasnya 16 cm 2 , maka nilai dari 2 Cos (2A) adalah …

2 3 3 \frac{2}{3}\sqrt{3} 3 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

1 3 3 \frac{1}{3}\sqrt{3} 3 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Diketahui kubus ABCD.EFGH dengan panjang rusuknya 2a. Jika titik P berada pada perpanjangan garis HG sehingga HG = GP, maka jarak titik G ke garis AP adalah …

2 a 3 6 \frac{2a}{3}\sqrt{6} 3 2 a 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

a 6 6 \frac{a}{6}\sqrt{6} 6 a 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

a 3 6 \frac{a}{3}\sqrt{6} 3 a 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 a 3 3 \frac{2a}{3}\sqrt{3} 3 2 a 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Pada bidang empat T.ABC diketahui ABC segitiga sama sisi, rusuk TA tegak lurus bidang alas. Jika panjang rusuk alas 10 cm, dan tinggi limas 15 cm, maka jarak titik A ke bidang TBC adalah …

5 3 c m 5\sqrt{3}\ cm 5 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> c m

10 3 c m 10\sqrt{3}\ cm 1 0 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> c m

Prediksi UN Matematika MIPA 2020-Wilker Madiun

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12th Grade

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Practice Problem

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Hard

Bina Prestasi MAN 2 Ponorogo

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MULTIPLE CHOICE QUESTION

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Perhatikan gambar berikut :

Persamaan fungsi kuadrat yang sesuai dengan grafik tersebut adalah ....

$y=x^2-4x+2$

$y=x^2+4x+2$

$y=x^2-4x-2$

3 : 7

3 : 10

7 : 10

10 : 3

7 : 3

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Prediksi UN Matematika MIPA 2020-Wilker Madiun

40 questions

Perhatikan gambar berikut :

Persamaan fungsi kuadrat yang sesuai dengan grafik tersebut adalah ....

Tujuh tahun yang lalu umur ayah sama dengan 6 kali umur Budi. Empat tahun yang akan datang 2 kali umur ayah sama dengan 5 kali umur Budi ditambah 9 tahun. Umur ayah sekarang adalah ... tahun.

Seorang pemilik kebun memetik mangganya setiap hari dan mencatatnya. Ternyata banyaknya jeruk yang dipetik pada hari ke-n memenuhi rumus

$U_n=10n+15$
Banyaknya jeruk yang dipetik selama 12 hari yang pertama adalah. . . .

Suku ketiga dan suku ketujuh suatu deret geometri berturut-turut adalah 16 dan 256. Jumlah tujuh suku pertama deret tersebut adalah . . . .

Diketahui $f\left(x\right)=\frac{1}{x+1},\ x\ne-1$ dan $g\left(x\right)=\frac{2}{3-x},\ x\ne3$ maka $\left(fog\right)^{-1}\left(x\right)=....$

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Prediksi UN Matematika MIPA 2020-Wilker Madiun

40 questions

Perhatikan gambar berikut :Persamaan fungsi kuadrat yang sesuai dengan grafik tersebut adalah ....

Tujuh tahun yang lalu umur ayah sama dengan 6 kali umur Budi. Empat tahun yang akan datang 2 kali umur ayah sama dengan 5 kali umur Budi ditambah 9 tahun. Umur ayah sekarang adalah ... tahun.

Seorang pemilik kebun memetik mangganya setiap hari dan mencatatnya. Ternyata banyaknya jeruk yang dipetik pada hari ke-n memenuhi rumus Un=10n+15U_n=10n+15Un​=10n+15 Banyaknya jeruk yang dipetik selama 12 hari yang pertama adalah. . . .

Suku ketiga dan suku ketujuh suatu deret geometri berturut-turut adalah 16 dan 256. Jumlah tujuh suku pertama deret tersebut adalah . . . .

Diketahui f(x)=1x+1, x≠−1f\left(x\right)=\frac{1}{x+1},\ x\ne-1f(x)=x+11​, x​=−1 dan g(x)=23−x, x≠3g\left(x\right)=\frac{2}{3-x},\ x\ne3g(x)=3−x2​, x​=3 maka (fog)−1(x)=....\left(fog\right)^{-1}\left(x\right)=....(fog)−1(x)=....

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Perhatikan gambar berikut :

Persamaan fungsi kuadrat yang sesuai dengan grafik tersebut adalah ....

Seorang pemilik kebun memetik mangganya setiap hari dan mencatatnya. Ternyata banyaknya jeruk yang dipetik pada hari ke-n memenuhi rumus

$U_n=10n+15$
Banyaknya jeruk yang dipetik selama 12 hari yang pertama adalah. . . .

Diketahui $f\left(x\right)=\frac{1}{x+1},\ x\ne-1$ dan $g\left(x\right)=\frac{2}{3-x},\ x\ne3$ maka $\left(fog\right)^{-1}\left(x\right)=....$