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 repeating sequence is 2, 0, 1, 8, 2, 0, 1, 8, 2, 0, 1, 8, ... . (a) What is the 30th number? (b) What is the sum of the first 22 numbers? Enter the two answers in order, separated by a comma.
There are spheres, cylinders and cubes. Three spheres have the same total mass as two cylinders. Five spheres have the same total mass as six cubes. How many cubes have the same total mass as five cylinders?
How many paths go from A to B without passing through C? At each move, follow one grid edge upwards or to the right. Count paths on the four-column, three-row grid shown.
Source discrepancy: the printed answer key conflicts with the displayed grid. Solve from the complete grid and the stated movement rule; the discrepancy is explained after answering.
Rearrange 38, 79, 17, 43, 74, 96 and 87, using each number once, so that from the second number onwards its tens digit equals the units digit of the preceding number. Which number is fourth?
How many days are there altogether in 2016 and 2017? You are given that 2016 is a leap year. Choose the correct expression below. The other source occurrence swaps options A and C: there A is 365×2 and C is 356×2; B, D and E are unchanged.
A drawer contains 2 white socks, 4 grey socks and 6 black socks. Without looking, what is the least number of socks Mary must take to be certain of getting two of the same colour?
Elmo packs 107 cookies into plastic bags containing exactly 5 cookies each. After filling as many bags as possible, how many cookies are left unpacked? The lesson occurrence asks for an open answer; the paper occurrence supplies the options retained here.
989 sweets are packed into packets of 4. How many more sweets are needed to complete the last packet? The lesson occurrence is open-answer; the paper options are preserved below.
Some children queue at an ice-cream shop. Ben is seventh from the front and fourth from the back. More children join at the back, and Ben becomes the middle child. How many children joined?
Use the Vietnamese source condition that all newcomers join at the back; no one leaves or changes position.
The teacher is now four times as old as John. In five years she will be three times as old as John. How many years older than John is the teacher? Give the age difference.
The English source says “4 times older”. Following its Vietnamese wording and answer key, interpret this as “four times as old”, not five times as old.
Study the shape rules shown. Find the value of 24 inside a circle inside a triangle. Apply nested operations from the innermost shape outwards.
Use the simple consistent shape rules illustrated by the first source diagram. The second source occurrence adds an extra square outline around the circle containing 3, while still showing 6; that outline is treated as a drawing error and is preserved in the solution for comparison.
Find (a) the greatest one-digit number; (b) the smallest three-digit number; (c) the smallest three-digit number whose digits are all different; (d) the greatest even three-digit number whose digits are all different. Enter the four numbers in order, separated by commas.
Find the area, in square centimetres, of the rectangle drawn inside the square. Use all the lengths marked in the diagram; give the numerical area only.
Winnie and Patricia initially have equal amounts of money. Winnie spends 24 dollars and Patricia spends 72 dollars. Winnie then has three times as much money left as Patricia. How many dollars did Winnie have at first?
