Logical expressions – practice for Years 7–9

Sample questions on Logical expressions with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject

Computing

Year

Years 7–9

Curriculum area

Algorithms and programming

Question types: True or false?

Sample questions

1. Question 1 Easy

   The variables have the values from the first lines. Decide for each expression whether it is true (YES) or false (NO).

   a = 5
   b = 7
   
   1:  a < b
   2:  a > 5 and b > a
   3:  a < 6 and a > b
   

   1. Expression 1
   2. Expression 2
   3. Expression 3
   Show the solution

   Answer:

   1. Expression 1 – yes
   2. Expression 2 – no
   3. Expression 3 – no

   How it works: 1. YES: 5 < 7 (true) 2. NO: [5 > 5 (false) and 7 > 5 (true)] 3. NO: [5 < 6 (true) and 5 > 7 (false)]

2. Question 2 Normal

   The variables have the values from the first lines. Decide for each expression whether it is true (YES) or false (NO).

   a = 5
   b = 7
   
   1:  a <= b and b >= a
   2:  not (b >= a)
   3:  a <= b or b >= a
   4:  a >= b and b >= 2
   

   1. Expression 1
   2. Expression 2
   3. Expression 3
   4. Expression 4
   Show the solution

   Answer:

   1. Expression 1 – yes
   2. Expression 2 – no
   3. Expression 3 – yes
   4. Expression 4 – no

   How it works: 1. YES: [5 <= 7 (true) and 7 >= 5 (true)] 2. NO: not 7 >= 5 (true) 3. YES: [5 <= 7 (true) or 7 >= 5 (true)] 4. NO: [5 >= 7 (false) and 7 >= 2 (true)]

3. Question 3 Hard

   The variables have the values from the first lines. Decide for each expression whether it is true (YES) or false (NO).

   a = 5
   b = 7
   c = 8
   
   1:  (a % 2 == 0 or b + c > 12) and b % 2 == 0
   2:  not (b % 2 == 0 and a >= c)
   3:  (a % 2 != 0 or b < c) and c <= b
   4:  b % 2 == 0 and c + b > 13 or b < 4
   5:  (b > 8 or a + b < 13) and a < b
   

   1. Expression 1
   2. Expression 2
   3. Expression 3
   4. Expression 4
   5. Expression 5
   Show the solution

   Answer:

   1. Expression 1 – no
   2. Expression 2 – yes
   3. Expression 3 – no
   4. Expression 4 – no
   5. Expression 5 – yes

   How it works: 1. NO: [[5 % 2 == 0 (false) or 7 + 8 > 12 (true)] and 7 % 2 == 0 (false)] 2. YES: not [7 % 2 == 0 (false) and 5 >= 8 (false)] 3. NO: [[5 % 2 != 0 (true) or 7 < 8 (true)] and 8 <= 7 (false)] 4. NO: [[7 % 2 == 0 (false) and 8 + 7 > 13 (true)] or 7 < 4 (false)] 5. YES: [[7 > 8 (false) or 5 + 7 < 13 (true)] and 5 < 7 (true)]

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