SASMO 2027 · Grades 2-3 · SET 002 · 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?

3, 5, 6, 10, 9, 15, 12, __, ...

ABCD is a square with side 8 cm. AN = QC = 5 cm. Find the area of the shaded rectangle MNPQ, in square centimetres.

Compute both expressions.

(a) 10 + 20 + 30 + 40 + 50 + 40 + 30 + 20 + 10

(b) 100 − 98 + 98 − 96 + 96 − 94 + ... + 6 − 4 + 4 − 2

Enter the answers to (a), (b), separated by a semicolon.

Jane repeatedly writes the five words “Mental, Wood, Water, Fire, Soil” in that order. Starting with the first word, she colours successive words green, red, yellow, then repeats these colours. What is the 202nd word and its colour?

Jeremy has a box of identical toy cars that differ only in colour: 5 red, 9 blue and 4 white. Without looking, what is the smallest number of cars he must take to be certain of getting 3 of the same colour?

What time does each clock show? Read (a)–(f). Enter six times in h:mm format, separated by semicolons.

Treat the hour hands as approximate; when a hand is near the next hour, read the hour before it until the minute hand reaches 12. No a.m./p.m. is specified.

Many years ago, 10 March was a Tuesday. What day of the week was it 30 days later? Enter the weekday.

Nick wants to bake a cake with exactly 1 flavour and 1 topping. He can choose from 3 flavours and 3 toppings. How many different kinds of cake can he make?

The fruit equations are shown below. What is the value of one apple plus one banana? Identical fruits have equal values.

A square and a rectangle have equal perimeters. Each side of the square is 6 cm. The rectangle is twice as long as it is wide. Find its area in square centimetres.

Cindy left home to buy groceries at 10:15 a.m. She had lunch before going home and arrived at 3:30 p.m. How many minutes was she away from home?

Ace, Ben and Cindy share 30 grapes. Ace gives 10 grapes to Ben, then Ben gives 8 grapes to Cindy, leaving all three with equal numbers. How many more grapes did Ace have than Cindy at first?

Both scales balance. How many stars have the same weight as 4 triangles?

12 apples are shared equally among 3 children. How many whole apples does each child get?

A normal die is shown. What is the sum of the numbers on the faces that cannot be seen?

David takes 30 seconds to climb from the first floor to the third floor. How many seconds does he take to climb from the third floor to the sixth floor?

Assume each floor interval takes the same time and David does not stop.

How many dots are in the figure?

How many minutes are there in 2 weeks? Choose the correct expression.

Complete all the sequences.

(a) 1, 5, 9, 13, __, __, __

(b) 3, 6, 11, 18, 27, __, __, __

(c) 1, 3, 9, 27, __

(d) 44, 22, 20, 10, 8, __, __

(e) 1, 2, 3, 5, 8, 13, 21, __, __, __

(f) 1, 1, 1, 1, 4, 7, 13, __, __, __

(g) 1, 1, 3, 7, 13, __, 31, ...

Enter each part as comma-separated numbers; separate parts (a)–(g) with semicolons.

A magician puts 3 cards on the table. Each has a mathematical symbol on one side and a number on the other. Initially the visible faces are ×, 7, 5. He flips some (possibly all) cards and rearranges them; the visible faces are now 7, +, 3. What number is on the other side of the + card?