Pembahasan Soal Asli TKA MATEMATIKA WAJIB Kelas 12 SMA SMK 2025 2026 RESMI Kemendikdasmen PART-1

Summary

The presenter works through the first five questions in a sample set of mandatory TKA mathematics problems, explaining how to identify the relevant concept and apply a suitable method. The presenter says the sample set contains 46 questions and is drawn from an official Ministry of Education source.

1. Probability of getting a sea-view room or a twin-bed room

There are 30 rooms in total; the floor number is irrelevant to the calculation. Let A represent rooms with a sea view and B represent rooms with twin beds:

• Sea-view rooms: 18
• Twin-bed rooms: 10
• Rooms with both features: 6

For an “A or B” probability, use the union rule:

[ |A \cup B| = 18 + 10 - 6 = 22 ]

The overlap is subtracted so the six rooms are not counted twice. Therefore,

[ P(A \cup B) = \frac{22}{30} = \frac{11}{15} ]

The presenter identifies the answer as C.

2. Checking probability statements about devices

The selection contains 10 devices: 4 smartphones, 3 smartwatches, 2 tablets, and 1 location tracker.

• Smartphone: (4/10 = 40\%)
• Not a tablet: (8/10 = 0.8)
• Location tracker: (1/10)
• Not a smartwatch: (7/10 = 70\%)

The presenter concludes that statements 1 and 4 are correct. The subtitles do not clearly preserve the exact claim in statement 2, but the presenter marks it false after calculating the probability of selecting a non-tablet as 0.8.

3. Solving a price problem with simultaneous equations

Let x be the price of a book and y the price of a ruler.

Three books and two rulers cost Rp18,000:

[ 3x + 2y = 18{,}000 ]

A book costs Rp1,000 more than a ruler:

[ x = y + 1{,}000 ]

Substitute the second equation into the first:

[ 3(y + 1{,}000) + 2y = 18{,}000 ]

This gives (5y = 15{,}000), so y = Rp3,000 and x = Rp4,000.

The cost of two books and five rulers is:

[ 2(4{,}000) + 5(3{,}000) = \text{Rp23,000} ]

The presenter identifies the answer as B.

4. Finding a missing value from a bar graph

The graph shows entrepreneur counts for several cities, with its vertical scale in hundreds. The known city values add up to 235 hundreds, or 23,500 people.

The province-wide total is 25,000 people, so the missing value for City E is:

[ 25{,}000 - 23{,}500 = 1{,}500 ]

City E therefore has 1,500 people.

5. Identifying a region satisfying linear inequalities

The presenter uses the graph to determine which numbered region satisfies the system:

1. Identify each boundary line using its intercepts or points on the line.
2. Determine which side of each boundary is included by the corresponding inequality.
3. Compare the resulting half-planes.

The only region that satisfies all the conditions is region 2, corresponding to answer B.

The subtitles garble some of the inequality symbols and wording, so the exact system cannot be reliably reconstructed from the captions.

Speakers and sources

• Speaker: One unnamed presenter/instructor from the Edu-Vid channel.
• Source cited by the presenter: The official Ministry of Education and Culture website and its assessment-material information. No other speakers are featured.