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SASMO 2027 · Grades 2-3 · SET 005 · Self-study

Question 1

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.

In a certain year, 1 July was a Monday. On which day of the week was 25 July? Enter the weekday in English or Vietnamese.

Question 2

Observe the three triangles and find the value of ?.

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Question 3

January 1 of a certain year is a Sunday. How many Sundays are there in that year?

Question 4

Sophie goes to the park every Saturday. 1 February 2018 was Thursday and February had 28 days. What was the second date in March 2018 on which she went to the park? The numeric options are dates in March.
  1. 24
  2. 31
  3. 3
  4. 17
  5. None of the above

Question 5

Find the missing number in the pattern shown. For nested shapes, work from the innermost shape outward.

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Question 6

Three children want to share 12 chocolate cakes equally. How many cakes does each child receive? In the other source version, their mother shares the same 12 cakes equally among the three children.

Question 7

Find all values in parts (a) and (b). Identical symbols represent identical numbers. Enter five numbers separated by commas, in this order: sun, cloud, triangle, circle, square.

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Question 8

What is the next number in the sequence 61, 42, 23, 04, 84, …? Keep the displayed two-digit form 04.

Question 9

A bucket containing grapes weighs 500 g. Half of the grapes alone weighs 240 g. What is the weight of the empty bucket?
  1. 15 g
  2. 30 g
  3. 25 g
  4. 20 g
  5. None of the above

Question 10

The figure consists of 11 squares of the same size. Its perimeter is 48 cm. What is its area, in square centimetres?

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Question 11

Find the next number in the sequence 1, 4, 9, 16, 25, …
  1. 30
  2. 31
  3. 27
  4. 29
  5. None of the above

Question 12

The aquarium contains five starfish, each in a labelled compartment. Water is pumped through the pipe on the left. Which compartment fills with water first? Use the answer options below, which follow the 2018 Primary 2 source. The other source option orders are preserved after the solution. Assume ordinary slow filling under gravity, with open passages exactly as drawn.

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  1. D
  2. B
  3. E
  4. C
  5. A

Question 13

The figure is made of small squares, each with side length 3 units. What is the perimeter of the whole figure?

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Question 14

The shapes follow a repeating pattern. Find the two missing shapes in order. In the choices, “diamond-star” means the solid four-pointed star in the diagram.

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  1. Sun, crescent
  2. Outline star, crescent
  3. Diamond-star, sun
  4. Diamond-star, outline star
  5. Diamond-star, crescent

Question 15

Eight frogs occupy the table shown. A frog may jump to any empty cell. What is the least number of frogs that must move so that each row and each column contains exactly two frogs?

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Question 16

The numbers 1 to 19 are to be used once each in the hexagons. Every full column and every full diagonal in each of the two diagonal directions has sum 38. What is X? The second diagram indicates the three directions.

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  1. 2
  2. 6
  3. 11
  4. 14
  5. 19

Question 17

Fill every bracket in the number triangle. Enter the four missing numbers in row 5, then the five missing numbers in row 6, left to right, as nine comma-separated numbers.

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Question 18

Alex is 18 years old. Daisy is half Alex’s age. Ben is 7 years older than Daisy. How old is Ben now?

Original name variant (study_1): Brett is 18 years old. Daisy is half Brett’s age. Omar is 7 years older than Daisy. How old is Omar now? The two versions differ only in the names Alex/Brett and Ben/Omar; enter the one age that answers either version.

Question 19

Find the correct shadow of the panda. Compare the outer outline in the same orientation, without rotating or reflecting the figure. Choose A, B, C, D or E.

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  1. Shadow A in the diagram
  2. Shadow B in the diagram
  3. Shadow C in the diagram
  4. Shadow D in the diagram
  5. None of the above

Question 20

Different letters represent different digits. In the addition A19 + 4A = ABB, find A+B. A is nonzero because it is the first digit of a three-digit number.

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