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AMO 2024 Primary 3 (Grade 3)

Question 1

A caterpillar crawls on a ruler. Its head is about 2 cm above the top edge of the ruler. About how long is the whole caterpillar, from head to tail, in cm?

Question illustration
  1. About 11 cm
  2. About 10 cm
  3. About 9 cm
  4. About 8 cm

Question 2

Whole numbers A, B, C satisfy $A<B<C$, $A+B+C=25$ and $A=2$. What is the largest possible C?

Question illustration
  1. 18
  2. 20
  3. 22
  4. 23

Question 3

What number is halfway between 3 and 12 on the number line? Enter a number. The original choice values are missing in the supplied source, so this is a numeric-response adaptation.

Question illustration

Question 4

Jason received 12 dollars in addition to his savings, then spent one third of all his money on a book. He has 18 dollars left. How many dollars did the book cost?

Question illustration
  1. 15
  2. 12
  3. 9
  4. 6

Question 5

A square of area 4 square centimetres is divided along a diagonal into two equal triangles. What is each triangle’s area, in square centimetres?

Question illustration
  1. 1.0
  2. 2.0
  3. 2.5
  4. 4.0

Question 6

Which number has the smallest value?

Question illustration
  1. $5/4$
  2. $4/5$
  3. $3/2$
  4. $2/3$

Question 7

A triangle is divided into smaller triangles as shown. How many triangles of all sizes are there?

Question illustration
  1. 8
  2. 10
  3. 13
  4. 15

Question 8

A, B and C are distinct digits. The two-digit number AB satisfies $AB\times A=CBB$. What is $A\times B\times C$?

Question illustration
  1. 210
  2. 245
  3. 320
  4. 360

Question 9

Adjacent dots are one unit apart horizontally and vertically. What is the area of the shaded U-shape, in square units?

Question illustration
  1. 16
  2. 18
  3. 20
  4. 28