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.
David takes 50 seconds to climb from the first floor to the third floor. How many seconds will he take to climb from the third floor to the sixth floor?
Assume the climbs between consecutive floors are equal and David keeps the same climbing speed.
Continue the alternating number arrangement shown, with columns A,B,C,D,E. (a) In which row is 25? (b) In which column is 37? Enter “row number, column letter” in that order.
The same fruit always stands for the same number. The picture shows three mangoes plus two oranges equal 25, and one mango plus one orange equal 9. What number does an orange stand for?
A school hall has 12 rows of seats. The last row has 70 seats, and every row after the first has 3 more seats than the row immediately before it. (a) How many seats are in the first row? (b) How many seats are in the hall altogether? Enter both answers as “first row, total”.
Which of the five original figures A–E is NOT possible to trace in one stroke without lifting the pencil or retracing any part? Trace every drawn line, including the inner circle in B and the base line in E.
Fill every empty white cell so that the eight cells surrounding each shaded cell contain all digits 1–8 exactly once. How many times does 8 occur in the completed figure? Submit the completed grid and the count. If drawing is unavailable, write each row from left to right, using # for a shaded cell and omitting positions outside the outline.
A square and a rectangle have equal perimeters. The square has side 6 cm. The rectangle is twice as long as it is wide. What is the rectangle’s width, in centimetres?
Find one possible ordered triple(a,b,c) of nonzero whole numbers for which a+b+c=a×b×c. Enter the three numbers in the order a,b,c, separated by commas.
(a) How can 55 balls be put into 10 boxes so every box has a different number of balls? Give the number in each box. (b) Can 54 balls be put into 10 boxes with different positive numbers of balls in every box? Explain. Each box must contain at least one ball.
A club symbol♣stands for a whole number. The first process is: start♣→multiply by 6→divide by 4→add 10→multiply by 3→66. Starting with the same♣again, divide by 4 and then multiply by 9 to obtain a music-note number. What is the music-note number?
Identical cubes are stacked in the corner of a room as shown. The floor is horizontal and the walls are vertical. There are no gaps or holes behind the visible cubes. How many cubes are there altogether?
Four students each own one of four different books. After class, each student takes exactly one book home and all four books are taken. Which statement is definitely false?
