IMO Practice Test — Weight
6 Questions • 15 min • Olympiad level
15:00
Question 1 of 6
On a balance scale, 1 juicy mango balances perfectly with exactly 3 identical plums. If Tom places 2 mangos on one side, how many plums does he need to balance the scale?
3 plums
4 plums
6 plums
5 plums
Explanation: If 1 mango = 3 plums, then 2 mangos will equal 3 + 3 = 6 plums.
Question 2 of 6
Box A is heavier than Box B. Box B is heavier than Box C. Which box is the lightest of them all?
Box A
Box B
Box C
All are equal
Explanation: Since A > B and B > C, Box A is the heaviest and Box C is the absolute lightest.
Question 3 of 6
A balancing scale shows that 1 wooden toy car is equal in weight to 5 plastic marbles. If you add 1 more marble to the marble side, what will happen to the toy car side?
It goes down
It goes up
It stays straight
It breaks
Explanation: Adding a marble makes the marble side heavier (down), pushing the car side up.
Question 4 of 6
An empty metal bucket weighs 2 units. When completely filled with water, it weighs 10 units. What is the weight of the water alone?
12 units
10 units
8 units
6 units
Explanation: Subtract the empty bucket weight from the total full weight: 10 - 2 = 8 units.
Question 5 of 6
Look at the clues: 2 balls weigh the same as 1 block. 2 blocks weigh the same as 1 heavy brick. How many balls do you need to balance exactly 1 heavy brick?
2 balls
4 balls
6 balls
3 balls
Explanation: 1 brick = 2 blocks. Since each block = 2 balls, 2 blocks = 2 + 2 = 4 balls.
Question 6 of 6
Tina has a balance scale with a heavy stone on the left pan and nothing on the right pan. The left pan is down. She adds 1 small marble at a time to the right pan. What will happen eventually?
Left pan stays down
Right pan goes down
Scale becomes level
Left pan goes up
Explanation: Since a stone is much heavier than a few marbles, the left pan will stay down.