SASMO 2027 · Grades 2-3 · SET 008 · Self-study

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 next number in 1, 5, 9, 13, ...?

A palindrome reads the same forwards and backwards; examples are 99, 252 and 4884. How many three-digit palindromes are there? Give the number. One source presents the choices A.81; B.900; C.90; D.9; E.None of the above.

One shell can be exchanged for two baskets of fruit or three baskets of vegetables. Which choice cannot be obtained by trading at most two shells?

What is the greatest three-digit number divisible by both 3 and 5?

42 apples are shared equally among five children. How many whole apples does each child receive, and how many are left over?

Find the missing bottom-right number in each table, a and b. Enter a,b separated by a comma.

Which of the cubes A–D cannot be formed by folding the net? The past-paper variant also includes E, None of the above; the book variant has only A–D.

Cut a 20 m stick into 4 m pieces, cutting only one piece at a time. How many cuts are required? The Vietnamese sources call it a rope; the same one-piece-per-cut condition applies.

A ring lying on a table has 12 equally spaced beads, three black. Which option cannot be obtained by rotating the ring on the table? Do not turn it over.

What is the minimum number of straight cuts needed to divide a birthday cake into 16 identical pieces?

Assume a uniform cylindrical cake. Each cut is one plane through the cake; horizontal cuts are allowed, and pieces may not be moved or stacked between cuts.

Linda shares 33 apples among friends so that their numbers of apples are consecutive natural numbers. What is the maximum number of friends? Each receives a whole-number share.

How many rectangles, including squares, can be formed by joining four of these twelve points? Count tilted rectangles too.

Fill the grid so that the eight neighbours around each shaded cell contain each of 1 through 8 exactly once. What number belongs at the question mark?

How many rectangles are there in the figure? Include squares.

A square of side 6 cm and a rectangle of breadth 4 cm have equal perimeters. Find the rectangle’s length in centimetres.

Ann has the four pieces shown. Use each once to cover the outlined shape completely without overlaps or gaps. Which placement of the T-shaped piece allows this? Pieces may be rotated.

The diagram gives the numbers of pencil cases owned by Bob, Macy, Jane and Danny. Each case contains the same number of pencils. There are 78 pencils altogether. How many pencils does Danny have?

Many years ago, January contained exactly four Thursdays and four Mondays. What weekday was January 1? Write the weekday in English or Vietnamese.

Many years ago, May 1 was Saturday. What weekday was May 17 that year? You may enter the weekday or its original four-digit code: Sunday 0001, Monday 0002, Tuesday 0003, Wednesday 0004, Thursday 0005, Friday 0006, Saturday 0007.



The original answer keys disagree. Use the stated premise that May 1 is Saturday to determine May 17.

Two years ago, Amy and Bob had a combined age of 8. What will their combined age be three years from now?