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.
What is the smallest positive whole number divisible by both 6 and 7 that has exactly two odd digits? Enter the number.
Two odd digits means two digit positions containing odd digits; the number is not required to have only two digits.
Four friends A, B, C and D must cross an old bridge in a jungle. They have one flashlight, which must accompany every crossing. At most two people may cross at once. A, B, C and D take 1, 2, 6 and 10 minutes respectively. What is the shortest total time for all four to cross? Enter minutes.
A pair takes the slower person’s time. The flashlight is carried, not thrown, and crossings do not overlap.
Each diagram surrounds a row of black squares with white squares. How many white squares surround a row of 50 black squares? The source repeats this question with three different option lists. Answer all three versions; enter the letters in order, separated by semicolons (for example A; B; C).
Version 1: A. 50; B. 100; C. 156; D. 106; E. None of the above.
Version 2: A. 50; B. 100; C. 150; D. 120; E. None of the above.
Version 3: A. 105; B. 103; C. 101; D. 108; E. None of the above.
Bruce is reading a comic book. A story occupies two consecutive pages whose page numbers sum to 345. On which page does the story begin? Enter the page number.
Each boundary segment in the figure is labelled by a digit. Measuring only three segments is enough to find the perimeter. What is the smallest three-digit number formed by the labels of such a set of three segments? Use each selected label once.
A road in front of a school is 21 metres long. The principal plants trees along one side, 3.5 metres apart, including both ends. How many trees are planted?
One student from class 6A or class 6B is chosen to represent the classes in a Mathematics contest. There are 37 students in 6A and 45 in 6B. How many choices of representative are there?
Patrick did well in his final examinations, so his dad gave him a treat. He chooses one starter, one main course and one item from the final column of the menu. How many combinations can he have?
Starter: salad or soup.
Main course: chicken, beef or fish.
Final column: milk or ice cream.
The original final column is labelled “Beverage” in English and “dessert” in Vietnamese. Its two actual choices are milk and ice cream; choose one of those two items.
Exactly one of them told the truth. Who ate the apple? Enter the name.
Assume exactly one of these five friends ate the apple. A speaker tells the truth only when both sentences are true; each other speaker has at least one false sentence.
Alex, Ben, Cindy and Daryl go shopping. After Cindy spends 40 dollars, she still has 40 dollars more than Alex. If Cindy gives Daryl 40 dollars, she would still have 40 dollars more than Daryl. If Ben gives Daryl 40 dollars, Ben would then have 40 dollars less than Daryl. How much more money does Ben have than Alex at the start? Enter the difference in dollars.
Treat the spending and the two transfers as three separate hypothetical situations, each starting from the original amounts, as in the source solution. They are not consecutive transactions.
Mary takes 8 minutes to run one lap around a lake; her sister takes 10 minutes. They start together at the same point, run in the same direction and do not stop. After how many minutes do they first meet again at the starting point?
Twenty-one trees are planted along one side of Liang Road. Adjacent trees are 8 metres apart, and there is a tree at each end of the road. How long is the road in metres?
