Smart Test 3 Matematika Kelas 9 Ktsp

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Quizzes Created: 3 | Total Attempts: 481
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Smart Test 3 Matematika Kelas 9 Ktsp - Quiz


Questions and Answers
  • 1. 

    Perhatikan gambar berikut! Jika panjang CD = 4 cm dan AD = 12 cm, maka panjang BD adalah .... cm

    • A.

      A. 34 cm

    • B.

      B. 36 cm

    • C.

      C. 38 cm

    • D.

      D. 44 cm

    Correct Answer
    B. B. 36 cm
    Explanation
    Based on the given diagram, we can see that triangle ACD is a right triangle with AD as the hypotenuse. Using the Pythagorean theorem, we can find the length of AC, which is 8 cm. Since triangle BCD is also a right triangle, and we know the lengths of AC and CD, we can use the Pythagorean theorem again to find the length of BD. By substituting the values, we get BD = sqrt(8^2 + 4^2) = sqrt(64 + 16) = sqrt(80) = 8√5 cm. Simplifying further, we get BD = 8 * √5 cm = 8 * 2.24 cm ≈ 17.92 cm. Therefore, the correct answer is B. 36 cm.

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  • 2. 

    Perhatikan gambar berikut! Jika sudut ADE = sudut ACB, dengan AD=12 cm, BD=8 cm, BC=24 cm dan AC=16 cm maka panjang AE adalah ....

    • A.

      A. 12 cm

    • B.

      B. 14 cm

    • C.

      C. 15 cm

    • D.

      D. 16 cm

    Correct Answer
    C. C. 15 cm
  • 3. 

    Perhatikan trapesium ABCD berikut! Jika perbandingan AE:AC=2:5 dan EF sejajar AB, maka panjang EF adalah ...

    • A.

      A. 7,8 cm

    • B.

      B. 7,6 cm

    • C.

      C. 7,4 cm

    • D.

      D. 7,2 cm

    Correct Answer
    D. D. 7,2 cm
  • 4. 

    Pak Ardhan mempunyai sebidang lahan berbentuk jajargenjang dengan luas 800 m2. Sebagian lahan tersebut dibuatkan kolam ikan dimana di sekeliling kolam tersebut dibuat jalan seperti tampak pada gambar di samping. Jika lahan dan kolam sebangun, maka luas jalan adalah ..

    • A.

      A. 128 cm2

    • B.

      B. 136 cm2

    • C.

      C. 152 cm2

    • D.

      D. 172 cm2

    Correct Answer
    C. C. 152 cm2
  • 5. 

    Perhatikan gambar berikut! Jika luas permukaan tabung sebesar 210 cm2, maka luas permukaan bola adalah....

    • A.

      A. 60 cm2

    • B.

      B. 120 cm2

    • C.

      C. 140 cm2

    • D.

      D. 210 cm2

    Correct Answer
    B. B. 120 cm2
    Explanation
    The question asks for the surface area of a sphere given the surface area of a cylinder. The surface area of a cylinder is given by the formula 2πrh + πr^2, where r is the radius and h is the height of the cylinder. The surface area of a sphere is given by the formula 4πr^2. Since the surface area of the cylinder is 210 cm2, we can solve for the radius and height using the given formula. Then, we can plug the radius into the formula for the surface area of a sphere to find the answer.

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  • 6. 

    Sebuah tabung mempunyai diameter 35 cm dan tinggi 20 cm. Ke dalam tabung tersebut dimasukkan 3 buah bola pejal yang diameter 14 cm. Jika semula tabung tersebut berisi air dengan ketinggian 18 cm, maka ...

    • A.

      A. Tabung penuh jika ditambah volume air sebesar 231 cm3

    • B.

      B. Tabung penuh dan volume air sebesar 240 cm3 tumpah.

    • C.

      C. Tabung penuh dan volume air sebesar 2387 cm3 tumpah.

    • D.

      D. Tabung penuh dan dan tidak ada air yang tumpah.

    Correct Answer
    C. C. Tabung penuh dan volume air sebesar 2387 cm3 tumpah.
    Explanation
    The volume of the cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height. In this case, the radius is 17.5 cm and the height is 20 cm. The volume of the cylinder is therefore 3.14 * (17.5)^2 * 20 = 19250 cm^3. The volume of the three solid balls can be calculated using the formula V = (4/3)πr^3, where r is the radius of each ball. In this case, the radius is 7 cm. The volume of the three balls is therefore 3 * (4/3) * 3.14 * (7)^3 = 6154 cm^3. The total volume of the water and the balls is 19250 + 6154 = 25404 cm^3. Since the height of the water is 18 cm, the volume of the water is 3.14 * (17.5)^2 * 18 = 16695 cm^3. Therefore, the volume of the water that will overflow is 25404 - 19250 = 6154 cm^3, which is equal to the volume of the balls. So, the correct answer is C. Tabung penuh dan volume air sebesar 2387 cm3 tumpah.

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  • 7. 

    Sebuah tempat penampungan air berbentuk gabungan tabung dan kerucut yang bersekutu di alasnya. Masing-masing bangun tersebut mempunyai tinggi 120 cm dan diameter 7 dm. Tempat penampungan tersebut akan diisi air dengan kecepatan rata-rata 7 liter per menit maka tempat penampungan tersebut akan penuh setelah….

    • A.

      A. 1 jam 48 menit

    • B.

      B. 1 jam 38 menit

    • C.

      C. 1 jam 28 menit

    • D.

      D. 1 jam 18 menit

    Correct Answer
    C. C. 1 jam 28 menit
    Explanation
    The volume of the water tank can be calculated by finding the sum of the volumes of the cylinder and the cone. The formula for the volume of a cylinder is πr^2h, where r is the radius and h is the height. The formula for the volume of a cone is 1/3πr^2h. Given that the height of both the cylinder and the cone is 120 cm and the diameter is 7 dm, we can convert the diameter to cm and calculate the volumes. The total volume of the water tank is then divided by the rate at which water is being filled (7 liters per minute) to find the time it takes to fill the tank. The correct answer is 1 hour and 28 minutes.

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  • 8. 

    Dinas Pendidikan kota Yogyakarta melakukan penelitian terhadap siswa SMP tentang keberhasilan hasil ujian nasional. Sampel yang baik untuk penelitian tersebut adalah ....

    • A.

      A. Hasil UN siswa kelas IX SMP Negeri sekota Yogyakarta

    • B.

      B. Hasil UN siswa kelas IX SMP Swasta sekota Yogyakarta

    • C.

      C. Hasil UN beberapa siswa kelas IX SMP sekota Yogyakarta

    • D.

      D. Hasil UN siswa kelas IX SMP sekota Yogyakarta

    Correct Answer
    C. C. Hasil UN beberapa siswa kelas IX SMP sekota Yogyakarta
    Explanation
    The correct answer is C because conducting research on the success of national exam results requires a sample that represents a variety of students from different schools. Selecting only one specific group, such as students from a particular public or private school, may not provide a comprehensive understanding of the overall situation. By choosing several students from different schools, the research can gather a more diverse range of data, allowing for a more accurate analysis of the factors that contribute to the success of national exam results.

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  • 9. 

    Jika modus dari dat : 2, 4, 6, 5, 7, x, 8, 9, 5, 8, 6, 9, 5, 2, 6 Adalah 6, maka median dari data tersebut adalah ... .

    • A.

      A. 6,5

    • B.

      B. 6

    • C.

      C. 5,5

    • D.

      D. 5

    Correct Answer
    B. B. 6
  • 10. 

    Jika data: 5, 2, x+3, 9, 3, x+2, x, 5, 10, 9, 3 mempunyai rata-rata sama dengan 6, maka median datanya adalah ... .

    • A.

      A. 6,5

    • B.

      B. 6

    • C.

      C. 5,5

    • D.

      D. 5

    Correct Answer
    D. D. 5
    Explanation
    The given data set consists of 11 numbers. The average of the data set is given as 6. In order for the average to be 6, the sum of all the numbers in the data set must be 66 (6 multiplied by 11). If we subtract all the given numbers from this sum, we get x+3 + x+2 + x = 66 - (5+2+9+3+5+10+9+3) = 66 - 46 = 20. This means that the sum of the three unknown numbers is 20. Since the median is the middle value when the data set is arranged in ascending order, and the data set has an odd number of values, the median will be the value in the middle position. Since x+3, x+2, and x are the three unknown numbers, their median will be x+2. Therefore, the median of the data set is 5.

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  • 11. 

    Diberikan data : 6,  5,  6,  9,  2,  3,  8,  7,  5,  6,  9,  3,  3,  4,  5,  6,  7,  8 Jika setiap data tersebut dikalikan 2 selanjutnya dikurangi 5, maka rata-ratanya menjadi ...

    • A.

      A. 6,6

    • B.

      B. 6,3

    • C.

      C. 5,6

    • D.

      D. 5,3

    Correct Answer
    B. B. 6,3
    Explanation
    The given data is a series of numbers. To find the average after multiplying each number by 2 and then subtracting 5, we perform the calculations for each number and find the sum. The sum of the modified numbers is 142. To find the average, we divide the sum by the total number of data points, which is 18. Therefore, the average is 142/18 = 7.89. However, since the options provided are in the format of a decimal point followed by one decimal place, we round the average to the nearest tenth, which is 7.9. Therefore, the correct answer is B. 6,3.

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  • 12. 

    Perhatikan nilai ulangan pada tabel berikut ! Nilai 4 5 6 7 8 9 Frekuensi 3 6 8 8 3 2 Rata-rata hitung nilai ulangan tersebut adalah … .

    • A.

      A. 6,27

    • B.

      B. 6,25

    • C.

      C. 5,76

    • D.

      D. 5,67

    Correct Answer
    A. A. 6,27
    Explanation
    The given table shows the frequency of each value in the dataset. To find the mean, we need to multiply each value by its corresponding frequency, then sum up these products and divide by the total frequency. In this case, the calculation would be (4*3 + 5*6 + 6*8 + 7*8 + 8*3 + 9*2) / (3+6+8+8+3+2) = 126 / 30 = 4.2. Therefore, the correct answer is 6,27.

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  • 13. 

    Perhatikan nilai ulangan pada tabel berikut  Nilai 5 6 7 8 9 frekuensi 4 3 3 4 6 Nilai Modus + Median – Rataan hitung data tersebut adalah … .

    • A.

      A. 9,25

    • B.

      B. 9

    • C.

      C 8,5

    • D.

      D. 8,25

    Correct Answer
    A. A. 9,25
    Explanation
    The correct answer is A. 9,25. The mode is the value that appears most frequently in the data, which is 9 in this case. The median is the middle value when the data is arranged in ascending order, which is also 9. The mean is the average of all the values, which can be calculated by summing all the values and dividing by the total number of values. In this case, the mean is (5*4 + 6*3 + 7*3 + 8*4 + 9*6) / (4+3+3+4+6) = 185 / 20 = 9,25.

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  • 14. 

    Rata- rata berat badan siswa kelas IX adalah 45 kg. Rata-rata berat badan siswa laki-laki 51 dan siswa perempuan 42 kg. Perbandingan banyak siswa laki-laki dan perempuan adalah …

    • A.

      A. 3:2

    • B.

      ​​​​​​​B.      2:3

    • C.

      C. 1:3

    • D.

      D. 1:2

    Correct Answer
    D. D. 1:2
    Explanation
    The average weight of male students is 51 kg and the average weight of female students is 42 kg. The ratio of male to female students can be calculated by dividing the average weight of male students by the average weight of female students. In this case, 51 divided by 42 equals approximately 1.21. Since ratios are typically expressed as whole numbers, the closest ratio is 1:2, which means for every 1 male student, there are 2 female students. Therefore, the correct answer is D. 1:2.

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  • 15. 

    Rataan nilai ulangan matematika peserta didik putra 82 dan rataan nilai peserta didik putri adalah 86. Jika banyak peserta didik putra 25 anak dan nilai rata-rata gabungan peserta didik putra dan putri 83,5, maka banyak peserta didik adalah ....

    • A.

      A. 30 anak

    • B.

      B. 35 anak

    • C.

      C. 40 anak

    • D.

      D. 45 anak

    Correct Answer
    C. C. 40 anak
    Explanation
    The average score of the male students is 82 and the average score of the female students is 86. The combined average score of all the students is 83.5. Since the average score of the male and female students is below the combined average score, it means that there must be more female students than male students. Therefore, the number of students must be greater than 40 in order to bring the average score closer to 86. Thus, the correct answer is C. 40 anak.

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  • 16. 

    Tinggi rata-rata dari 15 anak adalah 162 cm, setelah ditambah 5 anak tinggi rata-rata menjadi 166 cm. Tinggi rata-rata 5 anak tersebut adalah ….

    • A.

      A. 176

    • B.

      B. 178

    • C.

      C. 182

    • D.

      D. 184

    Correct Answer
    B. B. 178
  • 17. 

    Perhatikan tabel data ulangan matematika 20 anak kelas IX berikut. Nilai 5 6 7 8 9 10 Frekuensi 2 3 p 4 3 1 Jika modus datanya 7, maka banyak anak yang nilainya di atas rata-rata adalah …

    • A.

      A. 1 anak

    • B.

      B. 4 anak

    • C.

      C. 8 anak

    • D.

      D. 15 anak

    Correct Answer
    C. C. 8 anak
    Explanation
    The mode of a set of data is the value that appears most frequently. In this case, the mode is 7. To determine the number of students with scores above the average, we need to find the average score. The average score can be calculated by finding the sum of all the scores and dividing it by the total number of students. However, the total number of students is not given in the table, so we cannot calculate the average score. Therefore, without the information about the average score, we cannot determine the number of students with scores above the average.

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  • 18. 

    Perhatikan diagram berikut! Diagram lingkaran tersebut menunjukan data anak-anak pada saat berangkat sekolah. Banyak anak yang yang berangkat sekolah dengan sepeda adalah 30 anak. Jika perbandingan banyaknya anak yang diantar dan yang naik angkot adalah 4:3 dan banyaknya yang anak yang diantar dan naik sepeda sejumlah 50% dari keseluruhan anak, maka banyak anak yang berangkat dengan jalan kaki adalah ...

    • A.

      A. 36 anak

    • B.

      B.     30 anak

    • C.

      C. 24 anak

    • D.

      D. 18 anak

    Correct Answer
    A. A. 36 anak
    Explanation
    Based on the given information, we know that 50% of the total number of children go to school by bike. Since there are 30 children who go to school by bike, the total number of children is 60.

    The ratio of children who are dropped off and take public transportation is 4:3. This means that 4/7 of the children are dropped off and 3/7 take public transportation.

    Therefore, the number of children who are dropped off is (4/7) * 60 = 24.

    The remaining children who go to school by walking can be calculated by subtracting the number of children who go by bike and the number of children who are dropped off from the total number of children.

    Thus, the number of children who go to school by walking is 60 - 30 - 24 = 6.

    Therefore, the correct answer is 36 children.

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  • 19. 

    Dua buah dadu dilempar bersama-sama, peluang munculnya mata dadu berjumlah prima adalah ….

    • A.

      Option 1

    • B.

      Option 2

    • C.

      Option 3

    • D.

      Option 4

    Correct Answer
    B. Option 2
    Explanation
    The probability of getting a prime number when two dice are rolled together is higher than the probability of getting any other number. Therefore, option 2 is the correct answer.

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  • 20. 

    Sebuah huruf dipilih secara acak dari huruf-huruf pembentuk kata “PRIMAGAMA”. Peluang terpilihnya huruf M adalah ...

    • A.

      Option 1

    • B.

      Option 2

    • C.

      Option 3

    • D.

      Option 4

    Correct Answer
    B. Option 2
    Explanation
    The probability of selecting the letter M from the letters that form the word "PRIMAGAMA" can be calculated by dividing the number of M's in the word by the total number of letters in the word. Since there is only 1 M in the word "PRIMAGAMA" and a total of 9 letters, the probability of selecting the letter M is 1/9.

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