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Symbol Notation - Beginner Level: notation puzzles BEGINNER

Ready to master symbol notation? This concept mastery features 20 beginner-level challenges. Worksheet 2 of 30 sharpens your notation puzzles skills. Master notation puzzles, symbol interpretation, symbolic representation through guided practice. Perfect for entry-level test preparation.

📝 Worksheet 2 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 2 of 30 (6% complete)

Question 1

In the notation system where ☆ means x², what is the value of ☆(3)?
Applying ☆ to 3:
3² = 9
complex, systems

Question 2

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 3

If k(x) = x + 7, then find k(10)
Substituting x = 10:
10 + 7 = 17
functions, substitution

Question 4

Given: A = {1, 6, 9} B = {1, 2, 4, 6, 7, 9} C = {1, 2, 4, 6, 9, 10} Find: B ∩ C
Intersection of B and C:
{1, 2, 4, 6, 7, 9} ∩ {1, 2, 4, 6, 9, 10} = {1, 2, 4, 6, 9}
sets, operations

Question 5

If ☆ = -, ♧ = × (standard order of operations applies), then evaluate: 10 ☆ 13 ♧ 15
Substituting symbols: 10 - 13 × 15
Applying order of operations: = -185
arithmetic, basic

Question 6

Given: A = {4, 6, 8} B = {1, 2, 3, 6, 7, 8} C = {2, 7, 9} Find: A ∪ B
Union of A and B:
{4, 6, 8} ∪ {1, 2, 3, 6, 7, 8} = {1, 2, 3, 4, 6, 7, 8}
sets, operations

Question 7

If h(x) = x + 10, then find h(3)
Substituting x = 3:
3 + 10 = 13
functions, substitution

Question 8

If P = False, Q = False, and '->' means IMPLIES, then evaluate: P -> Q
Logical operation: IMPLIES
P=False, Q=False → IMPLIES is False only when P=True and Q=False
Result: True
logic, boolean

Question 9

In the notation system where ♣ means x/2, what is the value of ♣(2)?
Applying ♣ to 2:
2/2 = 1
complex, systems

Question 10

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: h(g(q(6)))
Evaluate from innermost outward:
h(g(q(6)))
= 529
nested, functions, advanced

Question 11

If h(x) = x - x/2, then find h(4)
Substituting x = 4:
4 - 4/2 = 2
functions, substitution

Question 12

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(h(q(6)))
Evaluate from innermost outward:
g(h(q(6)))
= 29
nested, functions, advanced

Question 13

If '≻' means '>', then determine: 3 ≻ 4
≻ = >
3 > 4 is False
inequality, comparison

Question 14

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

[26 23]
[12 14]
matrix, advanced

Question 15

Given: A = {3, 5, 9, 10} B = {1, 2, 5, 8} C = {2, 3, 6, 7, 8, 9} Find: B ∩ C
Intersection of B and C:
{1, 2, 5, 8} ∩ {2, 3, 6, 7, 8, 9} = {2, 8}
sets, operations

Question 16

In the notation system where ♥ means 3x, what is the value of ♥(6)?
Applying ♥ to 6:
36 = 36
complex, systems

Question 17

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: q(r(p(5)))
Evaluate from innermost outward:
q(r(p(5)))
= 15.50
nested, functions, advanced

Question 18

If ☆ = -, ⊖ = - (standard order of operations applies), then evaluate: 13 ☆ 14 ⊖ 15
Substituting symbols: 13 - 14 - 15
Applying order of operations: = -16
arithmetic, basic

Question 19

Given: A = {2, 8, 9} B = {2, 3, 4, 5, 7, 8} C = {2, 3, 6, 10} Find: B − A
Difference of B and A:
{2, 3, 4, 5, 7, 8} − {2, 8, 9} = {3, 4, 5, 7}
sets, operations

Question 20

If '≺' means '<', then determine: 2 ≺ 17
≺ = <
2 < 17 is True
inequality, comparison
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