IMO Practice Test — Length
6 Questions • 15 min • Olympiad level
15:00
Question 1 of 6
A magical green vine grows 3 cm taller every single day. If it is 5 cm tall on Monday morning, how tall will it be on Wednesday morning?
8 cm
11 cm
14 cm
6 cm
Explanation: It grows for 2 days (Mon to Tue, Tue to Wed). Growth = 3 + 3 = 6\text{ cm}. Total height = 5 + 6 = 11\text{ cm}.
Question 2 of 6
Rope X is 15 cm long. Rope Y is 5 cm shorter than Rope X. Rope Z is 2 cm longer than Rope Y. How long is Rope Z?
10 cm
12 cm
8 cm
17 cm
Explanation: Rope Y = 15 - 5 = 10\text{ cm}. Rope Z = 10 + 2 = 12\text{ cm}.
Question 3 of 6
An old wooden table is exactly 6 cubits long. If 1 cubit is equal to the length of 3 student rulers, how many rulers long is the entire table?
9 rulers
12 rulers
18 rulers
15 rulers
Explanation: Multiply the number of cubits by the number of rulers per cubit: 6 \times 3 = 18.
Question 4 of 6
Lea placed a toy car on a broken ruler. The front of the car is at the 2 cm mark, and the back of the car stops at the 8 cm mark. What is the actual length of the car?
8 cm
10 cm
6 cm
2 cm
Explanation: When not starting at 0, subtract the starting mark from the ending mark: 8 - 2 = 6\text{ cm}.
Question 5 of 6
Four children measured a bench using their handspans. Kevin counted 8 handspans, Mary counted 6 handspans, Leo counted 10 handspans, and Nina counted 7 handspans. Who has the largest handspan?
Leo
Kevin
Nina
Mary
Explanation: The person with the largest hand needs the fewest handspans to cover the bench. 6 is the smallest count.
Question 6 of 6
A piece of blue string is 20 cm long. Dan cuts it into two pieces. One piece is 12 cm long. What is the length of the other remaining piece?
8 cm
10 cm
12 cm
32 cm
Explanation: Subtract the known piece from the total length of string: 20 - 12 = 8\text{ cm}.