Latihan Soal SBMPTN tahun 2016 berikut pembahasannya

Please enter your email:

1. 0000329aa

 
 
 
 
 

2.

Nilai konstanta positif a yang mungkin sehingga 451/50 merupakan nilai minimum dari fungsi f(x) = (a^2+ 1)^2 – 2ax + 10 untuk x ∈ [0, 1/2] adalah … 

 
 
 
 
 

3. 0000310a

 

 
 
 
 
 

4. 000036a

 

 
 
 
 
 

5. 0000322a

 
 
 
 
 

6.

Nilai a yang menyebabkan persamaan 9^x - a . 3^x + a = 0 mempunyai tepat satu akar nyata adalah …

 
 
 
 
 

7.

cos 35° cos 20° – sin 35° sin 20° = ….

 

 
 
 
 
 

8. 000032b

 
 
 
 
 

9. 0000404b

 
 
 
 
 

10. 000025a

Pernyataan yang benar adalah …

 
 
 
 
 

11. Diketahui suatu parabola simetris terhadap garis x = -2 , dan garis singgung parabola tersebut di titik (0, 1) sejajar garis 4x + y = 4. Titik puncak parabola tersebut adalah …

 
 
 
 
 

12.

Jika x1, x2 adalah akar-akar 25^2^x5^2^x^+^1 – 2 . 5^2^x^+^3 + a = 0

dimana x1 + x2 = 2 . ^2log 2, maka a = …

 

 
 
 
 

13. 000039a

 

 
 
 
 
 

14.

Banyaknya akar real f( t) = t^9 – t adalah …

 
 
 
 

15.
Jika x1 dan x2  adalah akar-akar 16^x-2 .4^x^+^3 – 3.4^x^+^1+ a = 0 dimana <img class="alignnone wp-image-4215" src="https://lesprivatonline.com/wp-content/uploads/2016/08/2a.png" alt="2a" width="145" height="24" /> , maka a = ...</strong> </div><input type='hidden' name='question_id[]' value='591' /><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='12696' /><div><input type='radio' name='answer-591[]' id='answer-id-12696' class='answer answer-15 js-answer-label answerof-591' value='12696' /> <label for='answer-id-12696' id='answer-label-12696' class='js-answer-label answer label-15'><span>54</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='12697' /><div><input type='radio' name='answer-591[]' id='answer-id-12697' class='answer answer-15 php-answer-label answerof-591' value='12697' /> <label for='answer-id-12697' id='answer-label-12697' class='php-answer-label answer label-15'><span>48</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='12698' /><div><input type='radio' name='answer-591[]' id='answer-id-12698' class='answer answer-15 js-answer-label answerof-591' value='12698' /> <label for='answer-id-12698' id='answer-label-12698' class='js-answer-label answer label-15'><span>36</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='12699' /><div><input type='radio' name='answer-591[]' id='answer-id-12699' class='answer answer-15 js-answer-label answerof-591' value='12699' /> <label for='answer-id-12699' id='answer-label-12699' class='js-answer-label answer label-15'><span> 32</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='12700' /><div><input type='radio' name='answer-591[]' id='answer-id-12700' class='answer answer-15 js-answer-label answerof-591' value='12700' /> <label for='answer-id-12700' id='answer-label-12700' class='js-answer-label answer label-15'><span>30</span></label></div> <input type='hidden' id='questionType15' value='radio' class=''><div class="watu-feedback watu-padded" id="watuQuestionFeedback-15" style="display:none;"><h3>Pembahasan</h3>   <img class="alignnone wp-image-4213 " src="https://lesprivatonline.com/wp-content/uploads/2016/08/2.png" alt="2" width="352" height="464" /> </div></div><div class='watu-question' id='question-16'><div class='question-content'><span class='watu_num'>16. </span><img class="alignnone wp-image-4268 " src="https://lesprivatonline.com/wp-content/uploads/2016/08/0000313b.png" alt="0000313b" width="285" height="315" /> </div><input type='hidden' name='question_id[]' value='614' /><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9028' /><div><input type='radio' name='answer-614[]' id='answer-id-9028' class='answer answer-16 js-answer-label answerof-614' value='9028' /> <label for='answer-id-9028' id='answer-label-9028' class='js-answer-label answer label-16'><span>A</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9029' /><div><input type='radio' name='answer-614[]' id='answer-id-9029' class='answer answer-16 js-answer-label answerof-614' value='9029' /> <label for='answer-id-9029' id='answer-label-9029' class='js-answer-label answer label-16'><span>B</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9030' /><div><input type='radio' name='answer-614[]' id='answer-id-9030' class='answer answer-16 php-answer-label answerof-614' value='9030' /> <label for='answer-id-9030' id='answer-label-9030' class='php-answer-label answer label-16'><span>C</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9031' /><div><input type='radio' name='answer-614[]' id='answer-id-9031' class='answer answer-16 js-answer-label answerof-614' value='9031' /> <label for='answer-id-9031' id='answer-label-9031' class='js-answer-label answer label-16'><span>D</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9032' /><div><input type='radio' name='answer-614[]' id='answer-id-9032' class='answer answer-16 js-answer-label answerof-614' value='9032' /> <label for='answer-id-9032' id='answer-label-9032' class='js-answer-label answer label-16'><span>E</span></label></div> <input type='hidden' id='questionType16' value='radio' class=''><div class="watu-feedback watu-padded" id="watuQuestionFeedback-16" style="display:none;"><h3>Pembahasan</h3> <img class="alignnone wp-image-4266 " src="https://lesprivatonline.com/wp-content/uploads/2016/08/0000313.png" alt="0000313" width="382" height="319" /> <img class="alignnone wp-image-4267 " src="https://lesprivatonline.com/wp-content/uploads/2016/08/0000313a.png" alt="0000313a" width="410" height="373" /> </div></div><div class='watu-question' id='question-17'><div class='question-content'><span class='watu_num'>17. </span><img class="alignnone wp-image-4275 " src="https://lesprivatonline.com/wp-content/uploads/2016/08/0000316a.png" alt="0000316a" width="245" height="164" /> </div><input type='hidden' name='question_id[]' value='617' /><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9043' /><div><input type='radio' name='answer-617[]' id='answer-id-9043' class='answer answer-17 js-answer-label answerof-617' value='9043' /> <label for='answer-id-9043' id='answer-label-9043' class='js-answer-label answer label-17'><span>A</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9044' /><div><input type='radio' name='answer-617[]' id='answer-id-9044' class='answer answer-17 js-answer-label answerof-617' value='9044' /> <label for='answer-id-9044' id='answer-label-9044' class='js-answer-label answer label-17'><span>B</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9045' /><div><input type='radio' name='answer-617[]' id='answer-id-9045' class='answer answer-17 php-answer-label answerof-617' value='9045' /> <label for='answer-id-9045' id='answer-label-9045' class='php-answer-label answer label-17'><span>C</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9046' /><div><input type='radio' name='answer-617[]' id='answer-id-9046' class='answer answer-17 js-answer-label answerof-617' value='9046' /> <label for='answer-id-9046' id='answer-label-9046' class='js-answer-label answer label-17'><span>D</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9047' /><div><input type='radio' name='answer-617[]' id='answer-id-9047' class='answer answer-17 js-answer-label answerof-617' value='9047' /> <label for='answer-id-9047' id='answer-label-9047' class='js-answer-label answer label-17'><span>E</span></label></div> <input type='hidden' id='questionType17' value='radio' class=''><div class="watu-feedback watu-padded" id="watuQuestionFeedback-17" style="display:none;"><h3>Pembahasan</h3> <img class="alignnone wp-image-4274 " src="https://lesprivatonline.com/wp-content/uploads/2016/08/0000316.png" alt="0000316" width="381" height="307" /> </div></div><div class='watu-question' id='question-18'><div class='question-content'><span class='watu_num'>18. </span><img class="alignnone wp-image-4257 " src="https://lesprivatonline.com/wp-content/uploads/2016/08/000038a.png" alt="000038a" width="302" height="92" />   </div><input type='hidden' name='question_id[]' value='609' /><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='12810' /><div><input type='radio' name='answer-609[]' id='answer-id-12810' class='answer answer-18 js-answer-label answerof-609' value='12810' /> <label for='answer-id-12810' id='answer-label-12810' class='js-answer-label answer label-18'><span>9</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='12811' /><div><input type='radio' name='answer-609[]' id='answer-id-12811' class='answer answer-18 js-answer-label answerof-609' value='12811' /> <label for='answer-id-12811' id='answer-label-12811' class='js-answer-label answer label-18'><span> 8</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='12812' /><div><input type='radio' name='answer-609[]' id='answer-id-12812' class='answer answer-18 js-answer-label answerof-609' value='12812' /> <label for='answer-id-12812' id='answer-label-12812' class='js-answer-label answer label-18'><span>7</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='12813' /><div><input type='radio' name='answer-609[]' id='answer-id-12813' class='answer answer-18 js-answer-label answerof-609' value='12813' /> <label for='answer-id-12813' id='answer-label-12813' class='js-answer-label answer label-18'><span> 6</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='12814' /><div><input type='radio' name='answer-609[]' id='answer-id-12814' class='answer answer-18 php-answer-label answerof-609' value='12814' /> <label for='answer-id-12814' id='answer-label-12814' class='php-answer-label answer label-18'><span>5</span></label></div> <input type='hidden' id='questionType18' value='radio' class=''><div class="watu-feedback watu-padded" id="watuQuestionFeedback-18" style="display:none;"><h3>Pembahasan</h3> <img class="alignnone wp-image-4256 " src="https://lesprivatonline.com/wp-content/uploads/2016/08/000038.png" alt="000038" width="392" height="458" /> </div></div><div class='watu-question' id='question-19'><div class='question-content'><span class='watu_num'>19. </span><img class="alignnone wp-image-4301 " src="https://lesprivatonline.com/wp-content/uploads/2016/08/0000324a-1.png" alt="0000324a" width="267" height="89" />   </div><input type='hidden' name='question_id[]' value='625' /><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9078' /><div><input type='radio' name='answer-625[]' id='answer-id-9078' class='answer answer-19 js-answer-label answerof-625' value='9078' /> <label for='answer-id-9078' id='answer-label-9078' class='js-answer-label answer label-19'><span>1</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9079' /><div><input type='radio' name='answer-625[]' id='answer-id-9079' class='answer answer-19 js-answer-label answerof-625' value='9079' /> <label for='answer-id-9079' id='answer-label-9079' class='js-answer-label answer label-19'><span> 1/2 √3</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9080' /><div><input type='radio' name='answer-625[]' id='answer-id-9080' class='answer answer-19 js-answer-label answerof-625' value='9080' /> <label for='answer-id-9080' id='answer-label-9080' class='js-answer-label answer label-19'><span>1/2 √2</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9081' /><div><input type='radio' name='answer-625[]' id='answer-id-9081' class='answer answer-19 js-answer-label answerof-625' value='9081' /> <label for='answer-id-9081' id='answer-label-9081' class='js-answer-label answer label-19'><span>1/2</span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='9082' /><div><input type='radio' name='answer-625[]' id='answer-id-9082' class='answer answer-19 php-answer-label answerof-625' value='9082' /> <label for='answer-id-9082' id='answer-label-9082' class='php-answer-label answer label-19'><span>1/3</span></label></div> <input type='hidden' id='questionType19' value='radio' class=''><div class="watu-feedback watu-padded" id="watuQuestionFeedback-19" style="display:none;"><h3>Pembahasan</h3> <img class="alignnone wp-image-4300 " src="https://lesprivatonline.com/wp-content/uploads/2016/08/0000324-1.png" alt="0000324" width="319" height="274" /> </div></div><div class='watu-question' id='question-20'><div class='question-content'><span class='watu_num'>20. </span> <strong> Jika x1 dan x2 adalah akar-akar9^x-4.3^x^+^1-2.3^x + a = 0
dimana x1 + x2 = 2 + 3log2 + 1, maka a =

 
 
 
 
 

21. Diketahui selembar seng dengan panjang 80 cm dan lebar 30 cm. Jika panjang dan lebar dipotong dengan ukuran sama sehingga luas seng menjadi 275 cm², maka panjang dan lebarnya harus dipotong … cm

 
 
 
 
 

22.

Jika 3 sin x + 4 cos y = 5 , maka nilai maksimum 3 cos x + 4 sin y adalah …

 
 
 
 
 

23. 0000330a

 
 
 
 
 

24. 000027a

 
 
 
 
 

25. 0000318a

 
 
 
 
 

26. 000037a

 

 
 
 
 
 

27. 000034b

 
 
 
 
 

28. 0000328a

 
 
 
 
 

29. 0000321a

 
 
 
 
 

30. 0000320a

 
 
 
 
 

31.

sin 35° cos 40° – cos 35° sin 40° = ….

 

 
 
 
 
 

32. 000033a

 
 
 
 
 

33.

Diketahui persegi dengan panjang 12, dan setengah lingkaran dengandiameter pada alas,

seperti pada gambar. Garis CE menyinggung lingkaran di titik F. Panjang CE = ….

0000402b

 
 
 
 
 

34. 0000315a

 
 
 
 
 

35. Diketahui a dan b adalah dua bilangan positif yang memenuhi 000026a . Nilai ab(a + b ) adalah …

 
 
 
 
 

36. 0000311a

 
 
 
 
 

37. soalno4

 
 
 
 
 

38. 0000325a

 
 
 
 
 

39. Jika dan merupakan akar-akar persamaan 000012a, maka a + b = …

 

 
 
 
 
 

40. Misalkan segitiga ABC adalah segitiga siku-siku pada titik C. Jika panjang sisi dihadapan titik A, B, C berturut-turut adalah a, b, c , maka cos 2A = …

000031a

 
 
 
 
 

41. 0000317a

 
 
 
 
 

42.

Diketahui persegi panjang dan setengah lingkaran dengan diameter pada alas, seperti pada gambar. Garis DE menyinggung lingkaran, panjang CD = 6 dan  CE = 8. Panjang AD = ….
0000401b

 

 
 
 
 
 

43. 0000323a

 
 
 
 
 

44. Misalkan A(t) menyatakan luas daerah di bawah kurva y = bx² , 0 ≤ x ≤ t. Jika titik P(x0, 0) sehingga A(x0) : A(1) = 1 : 8, maka perbandingan luas trapesium ABPQ : DCPQ = …

000024aa

 
 
 
 
 

45. 0000403a

 

 
 
 
 
 

46. 0000312a

 
 
 
 
 

47. Jika p dan q merupakan akar-akar persamaan kuadrat x² – (a – 1)x + (-a – 5/2) = 0 maka nilai minimum p² + q² adalah ….

 

 
 
 
 
 

48. 0000314b

 
 
 
 
 

49. 000035b

 
 
 
 
 

50.

cos^4 x – sin ^4 x = ....</em></h4> <h4>A. <em>sin 2x</em> B. <em>cos 2x</em> C.cos^2 2x</em> D.sin ^2 2x</em> E. <em>sin x</em></h4> </div><input type='hidden' name='question_id[]' value='632' /><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='7835' /><div><input type='radio' name='answer-632[]' id='answer-id-7835' class='answer answer-50 js-answer-label answerof-632' value='7835' /> <label for='answer-id-7835' id='answer-label-7835' class='js-answer-label answer label-50'><span>A. </span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='7836' /><div><input type='radio' name='answer-632[]' id='answer-id-7836' class='answer answer-50 php-answer-label answerof-632' value='7836' /> <label for='answer-id-7836' id='answer-label-7836' class='php-answer-label answer label-50'><span>B. </span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='7837' /><div><input type='radio' name='answer-632[]' id='answer-id-7837' class='answer answer-50 js-answer-label answerof-632' value='7837' /> <label for='answer-id-7837' id='answer-label-7837' class='js-answer-label answer label-50'><span>C. </span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='7838' /><div><input type='radio' name='answer-632[]' id='answer-id-7838' class='answer answer-50 js-answer-label answerof-632' value='7838' /> <label for='answer-id-7838' id='answer-label-7838' class='js-answer-label answer label-50'><span>D. </span></label></div> <input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='7839' /><div><input type='radio' name='answer-632[]' id='answer-id-7839' class='answer answer-50 js-answer-label answerof-632' value='7839' /> <label for='answer-id-7839' id='answer-label-7839' class='js-answer-label answer label-50'><span>E.</span></label></div> <input type='hidden' id='questionType50' value='radio' class=''><div class="watu-feedback watu-padded" id="watuQuestionFeedback-50" style="display:none;"> <h3>Pembahasan</h3> <em>cos^4 x – sin ^4 x = (cos^2 x + sin ^2 x) (cos^2 x – sin ^2 x)

cos^2 x – sin^2 x

cos 2x$