ReasoningAbility.com

Symbol Notation - Beginner-Intermediate Level: logical symbols BEGINNER-INTERMEDIATE

Quick intensive drill ★ session: 20 beginner-intermediate-level symbol notation questions. Worksheet 7 of 30 - Focus: logical symbols. Practice logical symbols, notation decoding, symbolic reasoning with instant feedback. Great for developing students needing building on fundamentals with moderate challenges practice.

📝 Worksheet 7 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 7 of 30 (23% complete)

Question 1

If '≽' means '≥', then determine: 15 ≽ 12
≽ = ≥
15 ≥ 12 is True
inequality, comparison

Question 2

In the notation system where ☁ means x + 10, what is the value of ☁(6)?
Applying ☁ to 6:
6 + 10 = 16
complex, systems

Question 3

Given matrices: A = [ 2 3] [ 5 3] B = [ 4 3] [ 3 1] Compute: A - B
Matrix subtraction:
A - B =

[-2 0]
[ 2 2]
matrix, advanced

Question 4

If P = True, Q = False, and '|' means OR, then evaluate: P | Q
Logical operation: OR
P=True, Q=False → OR gives True if at least one is True
Result: True
logic, boolean

Question 5

If ♤ = -, ⊕ = + (standard order of operations applies), then evaluate: 1 ♤ 2 ⊕ 11
Substituting symbols: 1 - 2 + 11
Applying order of operations: = 10
arithmetic, basic

Question 6

If '≼' means '≤', then determine: 3 ≼ 2
≼ = ≤
3 ≤ 2 is False
inequality, comparison

Question 7

If g(x) = x + 5, then find g(8)
Substituting x = 8:
8 + 5 = 13
functions, substitution

Question 8

Given matrices: A = [ 1 1] [ 3 1] B = [ 1 2] [ 1 5] Compute: A × B
Matrix multiplication:
A × B =

[ 2 7]
[ 4 11]
matrix, advanced

Question 9

In the notation system where ◆ means 2x + 1, what is the value of ◆(3)?
Applying ◆ to 3:
23 + 1 = 24
complex, systems

Question 10

If P = False, Q = False, and 'nand' means NAND, then evaluate: P nand Q
Logical operation: NAND
P=False, Q=False → NAND is True except when both are True
Result: True
logic, boolean

Question 11

In the notation system where ☽ means x - 5, what is the value of ☽(4)?
Applying ☽ to 4:
4 - 5 = -1
complex, systems

Question 12

Given matrices: A = [ 2 2] [ 2 5] B = [ 1 5] [ 4 3] Compute: A × B
Matrix multiplication:
A × B =

[10 16]
[22 25]
matrix, advanced

Question 13

If ◊ = ×, ♡ = ÷ (standard order of operations applies), then evaluate: 2 ◊ 9 ♡ 9
Substituting symbols: 2 × 9 ÷ 9
Applying order of operations: = 2
arithmetic, basic

Question 14

Given: A = {4, 6, 10} B = {1, 3, 4} C = {3, 4, 5, 7, 8, 10} Find: A ∪ C
Union of A and C:
{4, 6, 10} ∪ {3, 4, 5, 7, 8, 10} = {3, 4, 5, 6, 7, 8, 10}
sets, operations

Question 15

If h(x) = x + 10, then find h(8)
Substituting x = 8:
8 + 10 = 18
functions, substitution

Question 16

If P = False, Q = True, and 'nor' means NOR, then evaluate: P nor Q
Logical operation: NOR
P=False, Q=True → NOR is True only when both are False
Result: False
logic, boolean

Question 17

If g(x) = x + 5, then find g(9)
Substituting x = 9:
9 + 5 = 14
functions, substitution

Question 18

Given matrices: A = [ 1 2] [ 3 4] B = [ 1 3] [ 2 2] Compute: A - B
Matrix subtraction:
A - B =

[ 0 -1]
[ 1 2]
matrix, advanced

Question 19

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: g(p(6))
Evaluate from innermost outward:
g(p(6))
= 23
nested, functions, advanced

Question 20

If P = False, Q = True, and '&' means AND, then evaluate: P & Q
Logical operation: AND
P=False, Q=True → AND gives True only if both True
Result: False
logic, boolean
Previous Worksheet Next Worksheet