Editorial self-study SET for 2027; not an official SASMO 2027 examination. Known source years remain in individual attributions. Time: 90 minutes. Platform scoring starts at 0: Q1–15 are worth 2 points each; Q16–25 are worth 4 points each; wrong and blank answers score 0; maximum 70. Official SASMO scoring instead starts at 15, deducts 1 for an incorrect Section A answer and has a maximum of 85. Verified means editorially checked; assumptions, source errors and mathematical uncertainty are disclosed where relevant.
The figure is made of two squares of sides 8 cm and 6 cm, with their bottom edges on the same straight line. Find the area of the shaded region in square centimetres.
Compute all three expressions: (a) A=1+2+3+4+…+29+30; (b) B=2+4+6+…+44+46+48; (c) C=10−9+8−7+6−5+4−3+2−1. Enter A,B,C in that order, separated by commas.
How many triangles are there in each figure (a), (b), (c) and (d)? Count triangles of every size. Enter four counts in that order, separated by commas.
A,B,C are distinct digits. For some choice of these digits, arrange three copies of A, two copies of B and one copy of C to make the largest possible six-digit number. Which of the following arrangements can never be that largest number?
A rectangle’s length becomes three times its original length, and its breadth becomes twice its original breadth. How many times the original area is its new area?
Ten whole apples are shared equally. (a) English-source version: share them among three children. How many whole apples does each child get, and how many are left over? (b) Vietnamese-source version: share them among five friends. How many apples does each friend get? Also give the remainder. Enter four numbers in the order “three-child amount, three-child remainder; five-person amount, five-person remainder”, using commas within pairs and a semicolon between them. The original options are A:3, B:2, C:4, D:5, E:None of the above; these are single per-person amounts, not complete pairs.
The source languages disagree: its English text says three children and asks for both the per-child amount and the remainder; its Vietnamese text says five friends and asks only for the per-person amount. Solve both versions below. For the five-person version, also state the remainder as an added comparison check.
Abid’s house number has three digits. Removing its first digit gives Ben’s house number. Removing the first digit of Ben’s number gives Chiara’s number. Their three house numbers sum to 912. What is the second digit of Abid’s number?
Assume Ben’s remaining number is genuinely two-digit, so it has no leading zero. The source key relies on this convention; allowing a leading zero would create another solution.
The Southeast Asian Games were held once every two years, except that no Games were held in 1963 (there were Games in 1961 and 1965). Singapore hosted the 28 th Games in 2015. In which year were the first Games held, when they were called the Southeast Asian Peninsular Games?
An ink spot covers most dates on the calendar. Its weekday columns run Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday. What weekday is the 25 th of that month?
A giraffe invites 26 small animals to a party. They stand in one row for a group photograph, with the giraffe in the middle. Counting from the left, what position does the giraffe occupy?
