IMO Practice Test — Order of Operations (PEMDAS/BODMAS)
6 Questions • 25 min • Olympiad level
25:00
Question 1 of 6
hard
Insert parentheses to make true: 5 × 3 + 2 = 25
(5×3)+2
5×(3+2)
(5+3)×2
5×3+2
Explanation: 5×(5)=25
Question 2 of 6
hard
Evaluate: 36 ÷ (3² - 3) × 2
12
6
18
9
Explanation: Parentheses:9-3=6, 36÷6=6, 6×2=12
Question 3 of 6
hard
Which expression equals 14?
3×4+2
3×(4+2)
3+4×2
4×(3+1)
Explanation: 3×4+2=12+2=14. B=18, C=3+8=11, D=4×4=16. Only A=14.
Question 4 of 6
hard
Find value: 2³ + 4 × (6 - 2) - 8
8
16
24
12
Explanation: 8+4×4-8=8+16-8=16
Question 5 of 6
hard
What is the last operation performed in 3 × (4 + 2²) ÷ 2?
×
+
÷
exponent
Explanation: After (4+4=8), 3×8=24, 24÷2=12 → last is ÷
Question 6 of 6
hard
Place parentheses to make largest result: 12 ÷ 2 + 1 × 3
(12÷2)+1×3
12÷(2+1)×3
12÷2+(1×3)
(12÷2+1)×3
Explanation: A:6+3=9, B:12÷3×3=12, C:6+3=9, D:(6+1)×3=21 (largest)