IMO Practice Test — Integers & Absolute Value
6 Questions • 15 min • Olympiad level
15:00
Question 1 of 6
If \(x\) is an integer such that $
x-3
= 7\(, find the sum of all possible values of\)x$.
6
-6
Explanation: 3
Question 2 of 6
Evaluate: $(-2)^4 \div (-2)^2 + (-3)^2 -
-8
$
-1
1
Explanation: -5
Question 3 of 6
A student has a bank balance of ₹-450. He deposits ₹200 and then withdraws ₹300. What is his new balance?
₹-550
₹-350
₹-50
₹50
Explanation: Start: -450; Deposit 200: -450+200=-250; Withdraw 300: -250-300=-550
Question 4 of 6
If \(a = -3\) and \(b = -5\), find the value of $
a-b
-
a
-
Explanation: $
Question 5 of 6
The product of two integers is -36. If one integer is 9, what is the other integer?
4
-4
-27
27
Explanation: 9 × x = -36 → x = -36 ÷ 9 = -4
Question 6 of 6
A diver is at 40 m below sea level. He swims up 15 m, then down 8 m, then up 22 m. What is his final position relative to sea level?
11 m below
11 m above
5 m below
15 m above
Explanation: Start: -40; Up15: -25; Down8: -33; Up22: -11 (11 m below)