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.
ABCD is a four-digit number. Its digits satisfy A = 4 × D, A + B = C + D, and A − C = 2. Find the number ABCD.
A 12-metre steel pipe is cut into pieces of length 3 metres. The whole cutting process takes 18 minutes. How many minutes does it take to cut a 12-metre pipe into 6-metre sections?
Assume each cut takes the same time, pieces are cut one at a time, and no extra setup time is included.
How many days are there altogether in 2016 and 2017, given that 2012 was a leap year? Choose using the options below. Source variant: the duplicate paper exchanges the positions of options A and C, so its A is 365 × 2 and its C is 356 × 2; B, D and E are unchanged.
Nat starts playing at 6:50 and plays for 1 hour 15 minutes. At what time does Nat finish? The duplicate source calls the same child Natalie and gives the same times. Enter the time as h:mm.
Draw exactly ONE additional line segment in each of the three starting figures, from left to right, so that there are (a) 5 triangles, (b) 6 triangles, and (c) 8 triangles altogether. Count triangles of all sizes. Submit all three drawings, or describe precisely the endpoints of each added segment.
In relation (1), an apple represents 5. In relation (2), an apple plus a strawberry represents 9. What number does the strawberry represent? The same fruit always has the same value.
The pentagonal number sequence begins 1, 5, 12, 22, 35, …, with dot patterns shown in the original figures. How many dots are in the tenth pentagonal figure?
Lisa writes all the odd numbers between 0 and 100. How many of these numbers contain the digit 1? Count numbers, not individual appearances of the digit.
Alice and her mother leave home for the hospital at 7:10 a.m. They drive for 25 minutes, then wait 30 minutes for the doctor. At what time does Alice meet the doctor? Enter h:mm a.m.
Jay buys some mini buns. He gives half to his mother, then gives 3 buns to his sister. Next he gives half of the remaining buns to his brother. He has 8 buns left. How many mini buns did Jay buy?
Four apples and three peaches cost 10 dollars. Two apples and two peaches cost 6 dollars. What is the price of one peach, in dollars? Apples all have the same price, and peaches all have the same price.
Two rabbits have the same value as one dog. Two rabbits plus two dogs have total value 12. What number does one dog stand for? Use the original picture relations.
Which original figure A–E CANNOT be drawn in one stroke without lifting the pen or retracing any line? Every drawn segment and arc must be traced exactly once.
