IMO Practice Test — Order of Operations (PEMDAS/BODMAS)
6 Questions • 25 min • Olympiad level
25:00
Question 1 of 6
hard
2 × (3 + (4 − 1)) = ?
12
10
8
14
Explanation: Innermost first: 4 − 1 = 3; 3 + 3 = 6; 2 × 6 = 12.
Question 2 of 6
medium
(20 ÷ 5) × (3 + 2) = ?
20
9
25
12
Explanation: 4 × 5 = 20.
Question 3 of 6
hard
Where must brackets go to make 2 + 3 × 4 = 20?
(2 + 3) × 4
2 + (3 × 4)
2 + 3 × (4)
no brackets needed
Explanation: (2 + 3) × 4 = 5 × 4 = 20.
Question 4 of 6
medium
100 ÷ (5 × 2) = ?
10
40
20
50
Explanation: Brackets first: 5 × 2 = 10, then 100 ÷ 10 = 10.
Question 5 of 6
medium
100 − 10 × 9 = ?
810
10
90
0
Explanation: 10 × 9 = 90, then 100 − 90 = 10.
Question 6 of 6
hard
24 ÷ 6 ÷ 2 = ?
2
8
24
12
Explanation: Left to right: 24 ÷ 6 = 4, then 4 ÷ 2 = 2.