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.
Tom has to paint a 46 m long fence. On the first day, he paints 10 m of it. Each day after that, he paints 1 m less than the day before. How many days does it take him to finish painting the fence?
Alan has an old grandfather clock that runs slow. Every day at 9:00 AM it shows 8:30 AM, so he resets it. One day Alan went on a “4-day vacation”. He left at 9:00 AM on Monday after resetting the clock. When he returned at 9:00 PM on Thursday, what time did the clock show?
Assume the clock loses time at a constant rate. Use the exact departure and return times, rather than treating “4-day vacation” as four complete 24-hour days. Enter H:MM AM/PM or 24-hour HH:MM, without a day name.
Automatic short-text checking is limited to listed spellings/formats, not general meaning. An unsupported/null result means ungraded and needs manual checking; it is not evidence that an answer is wrong.
Roman numerals from 1 to 10 are shown below. Find XXXVII − XIX, leaving your answer in Roman numerals.
Enter only uppercase Roman-numeral letters, without spaces or an explanation.
Automatic short-text checking is limited to listed spellings/formats, not general meaning. An unsupported/null result means ungraded and needs manual checking; it is not evidence that an answer is wrong.
Sanjana wants to put 64 apples into some fruit bowls. Each bowl can contain at most 6 apples. What is the minimum possible number of bowls that contain the same number of apples?
Interpret “minimum possible” as follows: group nonempty bowls by their number of apples, and make the largest such group as small as possible. All 64 apples must be placed, with whole apples in each bowl. The original wording is ambiguous; it does not ask for the minimum total number of bowls.
On its way to Kings Cross Station, the Heathrow Express passes through a tunnel 270 m long. The train is 150 m long and travels 30 m each second. How many seconds does it take to pass completely through the tunnel?
Measure from the moment the front enters until the rear leaves the tunnel, with constant speed.
Perimeter is the total length of the outline of a shape. For example, a rectangle 5 cm long and 3 cm wide has perimeter 5×2+3×2=16 cm. Find the perimeter of the stepped shape shown below.
If today is Monday, which day of the week will it be 30 days later?
Enter the full English weekday name, or its full Vietnamese name with accents. Do not include an explanation.
Automatic short-text checking is limited to listed spellings/formats, not general meaning. An unsupported/null result means ungraded and needs manual checking; it is not evidence that an answer is wrong.
