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AMO 2023 – Primary 4 (Grade 4)

Question 1

Four houses lie along a curved road in the order A, B, C, D. Jason biked from A to D, a distance of 12 miles. Katie biked from A to C, a distance of 6 miles. Matt biked from D to B, a distance of 8 miles. What is the distance along the road between B and C?

Question illustration
  1. 1 mile
  2. 2 miles
  3. 3 miles
  4. 4 miles

Question 2

The figure shows a garden whose edges are all horizontal or vertical. AB = 5 feet and BC = 4 feet. What is its perimeter in feet?

Question illustration
  1. 12 feet
  2. 14 feet
  3. 16 feet
  4. 18 feet

Question 3

All the small squares in the figure are unit squares. How many squares of any size are in the 3 × 3 grid?

Question illustration
  1. 10
  2. 12
  3. 14
  4. 16

Question 4

The factor tree of 2023 is shown below. How many whole numbers divide evenly into 2023, including 1 and 2023?

Question illustration
  1. 3
  2. 5
  3. 6
  4. 8

Question 5

Five students raised money for a school event. After a week they had raised an average of 25 dollars each. A last-minute donation increased the average to 30 dollars per student. How much was the last donation?

Question illustration
  1. 5 dollars
  2. 25 dollars
  3. 30 dollars
  4. 50 dollars

Question 6

In the tangram below, the division points are midpoints of their respective segments. The large square has area 64 square inches. What is the area of the small parallelogram P?

Question illustration
  1. 8 square inches
  2. 12 square inches
  3. 16 square inches
  4. 18 square inches

Question 7

$\overline{AB}$ is a two-digit whole number and B is a digit. If $\overline{AB}\times B=\overline{3AB}$, where A and B are digits from 0 to 9, what is $A\times B$?

Question illustration
  1. 35
  2. 48
  3. 52
  4. 59

Question 8

If the pattern continues, how many balls are in the 10th step?

Question illustration
  1. 32
  2. 55
  3. 60
  4. 72

Question 9

Each dot is one inch from its horizontal and vertical neighbors. Each small square has area one square inch. What is the area of triangle ABC?

Question illustration
  1. 4.5 square inches
  2. 6.5 square inches
  3. 7.5 square inches
  4. 9.5 square inches