IMO Practice Test — Line Plots with Fractions
6 Questions • 10 min • Olympiad level
10:00
Question 1 of 6
medium
A plot has X's at 1/4 (3), 1/2 (3) and 3/4 (3). How many items in total?
9
3
6
12
Explanation: 3 + 3 + 3 = 9 items.
Question 2 of 6
hard
A plot shows 10 items in total. If 1/4 has 4 and 1/2 has 4, how many are at 3/4?
2
3
1
4
Explanation: 10 − 4 − 4 = 2.
Question 3 of 6
hard
If every value from 1/4 to 1 (1/4, 1/2, 3/4, 1) has exactly 2 X's, how many items are there?
8
4
6
2
Explanation: 4 values × 2 = 8 items.
Question 4 of 6
medium
Two pieces total 1 m. If one is 1/4 m, the other is…
3/4 m
1/2 m
1/4 m
1 m
Explanation: 1 − 1/4 = 3/4 m.
Question 5 of 6
hard
Five pieces of 1/2 m each are joined. Total length?
2 1/2 m
2 m
3 m
5 m
Explanation: 1/2 × 5 = 5/2 = 2 1/2 m.
Question 6 of 6
medium
You measure 8 leaves and plot them. The total number of X's should be…
8
4
16
1
Explanation: Eight leaves → eight X's.