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TKA SD Math Practice Questions 2027: 30 Problems With Answers

Published: 02.11.2026·Updated: 02.11.2026

Nadia Rahmawati

Math Curriculum Team, Algonova

TKA SD Math Practice Questions 2027: 30 Problems With Answers

Updated: November 2026

TKA SD math practice questions work best when you do them topic by topic: numbers, geometry and measurement, then data. This page has 30 practice problems for grade 6 students in Indonesian primary school, with an answer key and step-by-step solutions. The problems use the three formats known from TKA SD: simple multiple choice, complex multiple choice, and true-false statements. Every answer has been recalculated one by one.

What do TKA SD math questions look like, and what do these 30 problems train?

TKA SD math uses three question formats and three topic groups, and the 30 problems below use all of them.

According to the Ministry of Primary and Secondary Education (Kemendikdasmen, through BSKAP) as reported by Kompas TV on 19 January 2026, TKA SD/MI uses three question formats.

The topics follow the TKA Math SD assessment framework from Pusmendik: numbers, geometry and measurement, and data. Problems 1-14 cover numbers, 15-25 cover geometry and measurement, and 26-30 cover data.

One honest note: we wrote these 30 problems ourselves to follow the official framework, so they are not real TKA questions. We also do not state the official number of questions or the test duration, because figures differ across media and we could not confirm a number in an official source. Check the latest information at Pusmendik.

How to use the problems:

Do 10 problems per session, about 20-25 minutes, without looking at the solutions.
Write your answer first, then compare.
Mark the wrong ones and note the type of mistake: a calculation slip, a misread question, or a concept not yet understood.
Redo the wrong problems three days later, not the same day.

Mother helping a grade 6 child work through a TKA SD math practice worksheet at the dining table

For a computer-based simulation, children can try Ayo Coba TKA from Pusmendik. The schedule, subjects and a month-by-month plan are in our guide to TKA SD 2027.

Problems 1-7: fractions, decimals and percentages

Numbers are the largest topic group in TKA SD, and the first seven problems train fractions, decimals, percentages and ordering.

Problem 1. Dina drinks 2/3 liter of milk in the morning and 3/4 liter in the afternoon. How many liters does she drink in total?

A. 5/7; B. 1 1/12; C. 1 5/12; D. 1 1/2

Answer: C. Use a common denominator of 12: 2/3 = 8/12 and 3/4 = 9/12. The sum is 17/12 = 1 5/12 liters. Option A comes from adding numerators and denominators directly.

Problem 2. A ribbon is 5/6 meter long. 1/4 meter is cut off for decoration. How long is the remaining ribbon?

A. 4/10 meter; B. 7/12 meter; C. 1/2 meter; D. 11/12 meter

Answer: B. 5/6 = 10/12 and 1/4 = 3/12. The remainder is 10/12 - 3/12 = 7/12 meter.

Problem 3. Mother buys 20 kg of rice. 3/5 of it is given to neighbors. How many kilograms are given away?

A. 8 kg; B. 12 kg; C. 15 kg; D. 17 kg

Answer: B. 3/5 of 20 = (20 : 5) x 3 = 4 x 3 = 12 kg.

Problem 4. Mr. Joko has 2 1/2 kg of sugar. He packs it into bags of 1/4 kg each. How many bags does he need?

A. 5 bags; B. 8 bags; C. 10 bags; D. 12 bags

Answer: C. 2 1/2 : 1/4 = 5/2 x 4/1 = 20/2 = 10 bags. Another way: 1 kg fills 4 bags, so 2 1/2 kg fills 4 + 4 + 2 = 10 bags.

Problem 5. The fraction equivalent to 6/9 is ?/15. The missing number is ...

A. 8; B. 9; C. 10; D. 12

Answer: C. 6/9 simplifies to 2/3. Multiplying the denominator 3 by 5 gives 15, so the numerator 2 is also multiplied by 5 to give 10. The answer is 10/15.

Problem 6. Order from smallest to largest: 3/4, 0.7 and 72%. The correct order is ...

A. 3/4; 0.7; 72%; B. 0.7; 72%; 3/4; C. 72%; 0.7; 3/4; D. 0.7; 3/4; 72%

Answer: B. Convert everything to decimals: 3/4 = 0.75; 0.7 = 0.70; 72% = 0.72. From smallest: 0.70 (0.7), 0.72 (72%), 0.75 (3/4).

Problem 7. A pair of shoes costs Rp150,000. The store gives a 20% discount. How much must be paid?

A. Rp120,000; B. Rp130,000; C. Rp30,000; D. Rp125,000

Answer: A. The discount is 20% x 150,000 = 30,000. The price to pay is 150,000 - 30,000 = Rp120,000. Option C is only the discount, not the final price.

Problems 8-14: order of operations, LCM, GCF and word problems

The next seven problems test order of operations, LCM, GCF and multi-step word problems.

Problem 8. The result of 48 + 36 : 4 x 3 - 15 is ...

A. 45; B. 60; C. 63; D. 75

Answer: B. Do multiplication and division first, left to right: 36 : 4 = 9, then 9 x 3 = 27. Then 48 + 27 - 15 = 60.

Problem 9. A red light flashes every 12 seconds and a blue light every 18 seconds. They flash together at second 0. After how many seconds do they flash together again?

A. 6 seconds; B. 30 seconds; C. 36 seconds; D. 216 seconds

Answer: C. We need the LCM of 12 and 18. Multiples of 12: 12, 24, 36. Multiples of 18: 18, 36. The LCM is 36 seconds.

Problem 10. There are 54 red, 72 blue and 90 yellow marbles. They are split into packs with the same number of each color in every pack. What is the largest number of packs?

A. 6 packs; B. 9 packs; C. 12 packs; D. 18 packs

Answer: D. We need the GCF of 54, 72 and 90. All three divide by 18 (54 : 18 = 3, 72 : 18 = 4, 90 : 18 = 5) and no larger number fits. So 18 packs, each with 3 red, 4 blue and 5 yellow.

Problem 11. Mr. Budi buys 15 boxes of oranges with 24 oranges each. 40 oranges are rotten and thrown away. The rest are sold in bags of 5. How many bags are sold if everything sells out?

A. 56 bags; B. 64 bags; C. 67 bags; D. 72 bags

Answer: B. Total oranges: 15 x 24 = 360. After throwing away 40, 320 remain. Divided into bags of 5: 320 : 5 = 64 bags.

Problem 12. 3.5 liters of water is poured into small bottles of 0.25 liter each. How many bottles are filled completely?

A. 7 bottles; B. 12 bottles; C. 14 bottles; D. 15 bottles

Answer: C. 3.5 : 0.25 equals 350 : 25 = 14. Another way: 1 liter fills 4 bottles, so 3.5 liters fills 14 bottles.

Problem 13. Choose all numbers that are common factors of 24 and 36: 2, 3, 4, 8, 9, 12.

Answer: 2, 3, 4, 12. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Those in both lists and among the options: 2, 3, 4 and 12. The number 8 is only a factor of 24 and 9 only of 36.

Problem 14. Decide whether each statement is true or false.

(a) 0.5 equals 50%
(b) 3/8 is greater than 0.4
(c) 2/5 has the same value as 4/10
(d) 0.09 is greater than 0.1

Answer: (a) True, (b) False, (c) True, (d) False. (a) True, because 0.5 = 50/100. (b) False, because 3/8 = 0.375, which is smaller than 0.4. (c) True, because 2/5 doubled gives 4/10. (d) False, because 0.09 is 0.09 and 0.1 is 0.10, which is larger.

Problems 13 and 14 use formats that differ from ordinary questions. The child has to check every option or statement instead of stopping at the first one that looks right. For more LCM and GCF practice, open the grade 6 math topics, and for word problems see our collection of primary math word problems.

Problems 15-25: geometry and measurement

Geometry and measurement test perimeter, area, volume, units, time, speed and angles.

Problem 15. A garden is a rectangle 18 m long and 12 m wide. Fence posts are placed around it, 3 m apart. How many posts are needed?

A. 10 posts; B. 16 posts; C. 20 posts; D. 24 posts

Answer: C. The perimeter is 2 x (18 + 12) = 60 m. Number of posts: 60 : 3 = 20, because the fence is a closed loop so posts equal gaps.

Problem 16. A room's floor is L-shaped. It is a 12 m x 8 m rectangle with a 5 m x 3 m rectangle cut out of one corner. What is the floor area?

A. 75 m2; B. 81 m2; C. 96 m2; D. 111 m2

Answer: B. The large rectangle is 12 x 8 = 96 m2. The cut-out part is 5 x 3 = 15 m2. The floor area is 96 - 15 = 81 m2.

Problem 17. A triangle has a base of 14 cm and a height of 9 cm. What is its area?

A. 23 cm2; B. 56 cm2; C. 63 cm2; D. 126 cm2

Answer: C. Triangle area = 1/2 x base x height = 1/2 x 14 x 9 = 63 cm2. Option D forgets the half.

Problem 18. A bicycle wheel has a diameter of 28 cm. What is its circumference? (use pi = 22/7)

A. 44 cm; B. 88 cm; C. 176 cm; D. 616 cm

Answer: B. Circumference = pi x diameter = 22/7 x 28 = 22 x 4 = 88 cm. The number 616 is the area of the circle, not the circumference.

Problem 19. A water tank is a cuboid 2.5 m long, 1.2 m wide and 0.8 m high. How many liters can it hold when full?

A. 240 liters; B. 2,400 liters; C. 24,000 liters; D. 4.5 liters

Answer: B. Volume = 2.5 x 1.2 x 0.8 = 2.4 m3. Since 1 m3 = 1,000 liters, the tank holds 2,400 liters.

Problem 20. A motorbike travels at a constant 45 km/h for 2 hours 20 minutes. How many kilometers does it cover?

A. 90 km; B. 100 km; C. 105 km; D. 115 km

Answer: C. 2 hours 20 minutes = 2 1/3 hours = 7/3 hours. Distance = 45 x 7/3 = 15 x 7 = 105 km. Another way: 45 x 2 = 90 km plus 20 minutes (1/3 of 45 = 15 km) gives 105 km.

Problem 21. A train departs at 13:45 and arrives at 16:20 on the same day. How long is the trip?

A. 2 hours 15 minutes; B. 2 hours 35 minutes; C. 2 hours 55 minutes; D. 3 hours 25 minutes

Answer: B. From 13:45 to 16:00 is 2 hours 15 minutes. From 16:00 to 16:20 is another 20 minutes. Total: 2 hours 35 minutes.

Problem 22. The result of 2.5 kg + 750 grams - 1 1/4 kg is ...

A. 1.5 kg; B. 2 kg; C. 2.25 kg; D. 2,000 kg

Answer: B. Convert to grams: 2,500 + 750 - 1,250 = 2,000 grams, which is 2 kg. Option D has the right number but the wrong unit.

Problem 23. Two angles of a triangle measure 65 degrees and 48 degrees. How many degrees is the third angle?

A. 57 degrees; B. 67 degrees; C. 77 degrees; D. 113 degrees

Answer: B. The angles of a triangle add up to 180 degrees. 65 + 48 = 113, so the third angle is 180 - 113 = 67 degrees. Option D is only the sum of the two known angles.

Problem 24. The closest estimate of 4.9 x 20.1 is ...

A. 80; B. 100; C. 120; D. 1,000

Answer: B. Round 4.9 to 5 and 20.1 to 20. The product 5 x 20 = 100. The exact result is 98.49, so 100 is closest.

Problem 25. A cuboid measures 10 cm long, 5 cm wide and 4 cm high. Decide whether each statement is true or false.

(a) Its volume is 200 cm3
(b) The total length of all its edges is 76 cm
(c) Its surface area is 200 cm2
(d) The cuboid has 8 vertices

Answer: (a) True, (b) True, (c) False, (d) True. (a) True: 10 x 5 x 4 = 200 cm3. (b) True: 4 x (10 + 5 + 4) = 76 cm. (c) False: surface area is 2 x (50 + 40 + 20) = 220 cm2. (d) True: a cuboid has 8 vertices, 12 edges and 6 faces.

Speed, distance and time often show up as word problems. If your child is unsure, review direct and inverse proportion first. More area, perimeter and volume problems are in our grade 6 math problem collection.

Problems 26-30: data

Data problems ask the child to read a table, pictogram or chart, then calculate a mean, a percentage or a difference.

Problem 26. Test scores of eight children: 70, 80, 75, 90, 80, 85, 80, 100. What is the mean score?

A. 80; B. 82.5; C. 85; D. 660

Answer: B. The sum is 70 + 80 + 75 + 90 + 80 + 85 + 80 + 100 = 660. The mean is 660 : 8 = 82.5. The value 80 is the mode (the most frequent), not the mean.

Problem 27. Rani's mean score over five tests is 78. The first four scores are 70, 80, 75 and 85. What is the fifth score?

A. 78; B. 80; C. 82; D. 85

Answer: B. The total of five scores is 78 x 5 = 390. The first four add up to 70 + 80 + 75 + 85 = 310. The fifth score is 390 - 310 = 80.

Problem 28. The table shows club members: Scouts 12 children, Futsal 9, Painting 6, Robotics 3. What percentage of members chose Futsal?

A. 9%; B. 25%; C. 30%; D. 33%

Answer: C. Total members: 12 + 9 + 6 + 3 = 30 children. Futsal is 9 out of 30 = 9/30 = 3/10 = 30%.

Problem 29. A pictogram of borrowed books: one symbol stands for 8 books. Monday 4 symbols, Tuesday 6, Wednesday 3, Thursday 5. How many books were borrowed in four days?

A. 18 books; B. 128 books; C. 144 books; D. 152 books

Answer: C. Total symbols: 4 + 6 + 3 + 5 = 18. Total books: 18 x 8 = 144. Option A counts only symbols and skips the multiplication by 8.

Problem 30. A bar chart of ice cream sales: Monday 20, Tuesday 35, Wednesday 25, Thursday 35, Friday 30. Choose all true statements: (a) the highest sales were on Tuesday and Thursday; (b) total sales for the week were 145; (c) Friday sales were 5 more than Wednesday; (d) average daily sales were 30.

Answer: a, b, c. (a) True: 35 is the highest and appears twice. (b) True: 20 + 35 + 25 + 35 + 30 = 145. (c) True: 30 - 25 = 5. (d) False: 145 : 5 = 29, not 30.

How to read the results: score or pattern of mistakes?

The pattern of mistakes matters more than the score, because TKA has no pass mark and its results are used as a picture of achievement.

Count the correct answers per topic group, then use this table.

Algonova math for primary school children starts with a diagnostic test that maps weak topics before the study schedule is set, and private math lessons are available for one child at a time.

If the TKA score will be used for the achievement track, also read how to calculate the SPMB score for junior high. If your child gets anxious around numbers, children afraid of math covers steps you can take at home.

Summary

The 30 problems follow the three official topics: numbers (14 problems), geometry and measurement (11), data (5).
All three question formats are covered: simple multiple choice, complex multiple choice and true-false statements.
Do 10 problems per session, write your answer first, then compare with the solution.
Note the type of mistake, not just the score, and redo wrong problems a few days later.
For real questions and the computer simulation, use the Pusmendik site.

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TKA SD Math Practice Questions: FAQ

Where can I find official TKA SD math sample questions?

Official samples and a simulation are on the Pusmendik site of Kemendikdasmen, under Ayo Coba TKA, and the topic framework is on the TKA Math SD page. The problems on this page were written by us to follow that framework, so use both together. Start with the official simulation to see how the test looks on a computer, then use these 30 problems for topic-by-topic practice. For example, a child tries the official simulation once to get used to the screen, then practices by topic for several weeks. The test schedule is in our TKA SD 2027 article.

How many questions and how many minutes is TKA SD math?

We could not find a confirmed figure in an official source we could open, and media reports give different numbers. That is why this page states neither the number of questions nor the minutes. A wrong figure could make a child practice with the wrong timing. The safest route is to check the Pusmendik site and ask the class teacher once the school receives the technical guidelines. For practice at home, use your own benchmark: 10 problems in 20-25 minutes, then increase slowly while watching whether your child stays careful.

What is complex multiple choice and how do you answer it?

Complex multiple choice is a question where more than one answer can be correct, or one with several statements that are each judged true or false. According to Kemendikdasmen, there are two models: choosing all options that apply, and judging statements with categories such as true or false. The key is to check every option one by one and not stop at the first one that looks right. On this page, problems 13 and 30 train the first model, while problems 14 and 25 train the second.

Are the problems on this page the same as real TKA questions?

No, because we wrote these problems ourselves following the official topic framework and question formats. The real questions are prepared and managed by Kemendikdasmen and are not fully public. Our difficulty is set at grade 6 primary level, but we cannot promise it matches the real test exactly. Use the problems to find weak topics, not to predict a score. The pattern of mistakes tells you more than the number correct.

When should my child start practicing, and how many problems per day?

Start about six months before the test, with 5-10 problems per day or 10 problems per session, three times a week. Short sessions are easier to keep up than one long day before the test. Start from the weakest topic, such as fractions or word problems, and add another topic each week. A full month-by-month plan is in the TKA SD 2027 article. If your child is still in grade 5, begin with the number problems, since geometry and data topics of grade 6 are only taught at school later.

Can a grade 5 child try these 30 problems?

Yes, especially the number problems, but some use grade 6 topics, so it is normal if not everything can be solved yet. Problems 1-8, 15-17 and 26-27 are usually within reach for a grade 5 child who has studied fractions and the area of flat shapes, although topic order can differ by school. Problems on circles, volume and speed are often taught only near or in grade 6, depending on the school. Treat the problems your child cannot solve yet as a list of topics coming up, not a sign of falling behind.

My child makes many mistakes in fractions and word problems. What should I do?

Start by finding out whether the mistake is in the calculation, in reading the problem, or in the fraction concept itself. Ask your child to explain the method out loud. If the explanation is right but the answers slip, the child needs carefulness practice. If the child does not know where to start, the basic concept needs review, for example with fraction drawings. Algonova's free diagnostic of about 60 minutes can map this with a teacher before you decide whether you need lessons or home practice is enough.

Does my child need special lessons for TKA SD, or is self-practice enough?

Many children do fine with self-practice and a parent's support, if the basics are solid and they practice regularly. Lessons help when the child cannot see where the mistake is, or when the parent struggles to explain. Choose a provider that traces the weak spot first, not one that simply hands over hundreds of problems. At Algonova, math classes run online in groups of up to 10 children from Rp 102,000 per lesson, and private math lessons are available for one child. Everything starts with a free diagnostic of about 60 minutes.

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TKA SD Math Practice Questions 2027: 30 Problems With Answers

What do TKA SD math questions look like, and what do these 30 problems train?

Problems 1-7: fractions, decimals and percentages

Problems 8-14: order of operations, LCM, GCF and word problems

Problems 15-25: geometry and measurement

Problems 26-30: data

How to read the results: score or pattern of mistakes?

Summary

More from Blog

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TKA SD Math Practice Questions: FAQ

Problems 1-7: fractions, decimals and percentages

Problems 8-14: order of operations, LCM, GCF and word problems

Problems 15-25: geometry and measurement

Problems 26-30: data

How to read the results: score or pattern of mistakes?

Summary

More from Blog

How to Teach Multiplication Tables to Kids: 5 Proven Methods

Math Games for Kids: 12 Best Picks by Age Group (2026 Guide)

Why Kids Struggle With Math: 7 Causes and How to Address Each

TKA SD Math Practice Questions: FAQ