SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.
Each figure below was formed by surrounding the black squares with white squares. How many white squares will surround one row of 50 black squares?
Which diagram comes next? Use the A–E labels printed directly beneath the picture choices.
The extra text-only option list in the source is malformed. This practice question uses the five labels A–E beneath the original picture choices, all of which are retained.
Find the sum of all the numbers in the series below:
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, …, 7, 7, 7.
Interpret the ellipsis by continuing the shown repetition rule: each integer from 1 through 7 occurs as many times as its value. The three printed 7s are only the visible end of the final group.
Odd numbers are whole numbers not divisible by 2, for example 1,3,5,7,9,11,13,15,17,… . Initially 20 students stand in a row and are numbered 1,2,3,… from left to right. Students with odd numbers sit down. The students still standing are renumbered 1,2,3,… in the same order, and again those with odd numbers sit. This continues until Roy is the only student standing. What number was Roy assigned at the start?
On Children’s Day, a teacher distributed 7 sweets to each of her 9 students. She then had 8 sweets left. How many sweets did she have at the beginning?
John was at a railway station. The 1st train left at 6:12 AM, and the 13th train left at 8:48 AM. At what time will the 18th train arrive at the station?
The source changes from “left” to “arrive” and does not state equal spacing. For this practice calculation, assume equally spaced trains and treat arrival as the same timetable event as departure, with no stopping-time difference. Enter H:MM AM/PM or 24-hour HH:MM only.
Automatic short-text checking is limited to listed spellings/formats, not general meaning. An unsupported/null result is ungraded and needs manual checking; it is not evidence that your answer is wrong.
Ronaldo starts on the left-hand side of a football field. On which side will he be after he sprints to and fro across the field 37 times?
Count each one-way trip from one side to the other as one crossing, not a complete out-and-back trip. Enter “Left-hand side” or “Right-hand side”, or the corresponding Vietnamese phrase “Bên trái” or “Bên phải”, without an explanation.
Automatic short-text checking is limited to listed spellings/formats, not general meaning. An unsupported/null result is ungraded and needs manual checking; it is not evidence that your answer is wrong.
Cindy lives in a town where the streets are arranged in a 3×3 grid as shown. Each unit-length grid edge is called a “street”. Cindy decides to take the longest path home. How many streets does she walk if each street can be used at most once?
Source limitation: the exact starting and home intersections are not marked. Do not assume an endpoint silently. This question is manually reviewed; if the pictured information does not determine a unique number, you may say so. A numerical guess will not be automatically marked right or wrong.
Ahmed works for 2 days, then takes a day off. He repeats this cycle continuously from week to week. In Week 27 he has Monday off. In which week will he next have Monday off?
