ReasoningAbility.com

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

Ready to master symbol notation? This benchmark test features 20 beginner-intermediate-level challenges. Worksheet 12 of 30 sharpens your coding symbols skills. Master notation systems, symbol relationships, logical symbols through guided practice. Perfect for developing test preparation.

📝 Worksheet 12 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 12 of 30 (40% complete)

Question 1

If k(x) = x/4, then find k(4)
Substituting x = 4:
4/4 = 1
functions, substitution

Question 2

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 3

If '≠' means '≠', then determine: 5 ≠ 12
≠ = ≠
5 ≠ 12 is True
inequality, comparison

Question 4

In the notation system where ☾ means x/3, what is the value of ☾(4)?
Applying ☾ to 4:
4/3 = 1.33
complex, systems

Question 5

If '≈' means '≈', then determine: 20 ≈ 19
≈ = ≈
20 ≈ 19 (approximately equal) is True
inequality, comparison

Question 6

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

Question 7

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

[12 14]
[27 31]
matrix, advanced

Question 8

Given: A = {1, 2, 6, 8, 9} B = {5, 6, 8, 10} C = {2, 4, 6, 8, 9} Find: C ∪ A
Union of C and A:
{2, 4, 6, 8, 9} ∪ {1, 2, 6, 8, 9} = {1, 2, 4, 6, 8, 9}
sets, operations

Question 9

If k(x) = x + 2x, then find k(6)
Substituting x = 6:
6 + 26 = 32
functions, substitution

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: f(g(h(5)))
Evaluate from innermost outward:
f(g(h(5)))
= 227
nested, functions, advanced

Question 11

If '≽' means '≥', then determine: 20 ≽ 5
≽ = ≥
20 ≥ 5 is True
inequality, comparison

Question 12

If ♤ = -, ◊ = × (standard order of operations applies), then evaluate: 4 ♤ 2 ◊ 4
Substituting symbols: 4 - 2 × 4
Applying order of operations: = -4
arithmetic, basic

Question 13

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: p(r(f(3)))
Evaluate from innermost outward:
p(r(f(3)))
= 31
nested, functions, advanced

Question 14

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

Question 15

Given: A = {2, 3, 4, 6, 7, 8} B = {4, 5, 6, 8, 10} C = {1, 4, 8} Find: B ∪ C
Union of B and C:
{4, 5, 6, 8, 10} ∪ {1, 4, 8} = {1, 4, 5, 6, 8, 10}
sets, operations

Question 16

In the notation system where ☀ means x³, what is the value of ☀(7)?
Applying ☀ to 7:
7³ = 343
complex, systems

Question 17

If ★ = +, ∆ = + (standard order of operations applies), then evaluate: 12 ★ 12 ∆ 4
Substituting symbols: 12 + 12 + 4
Applying order of operations: = 28
arithmetic, basic

Question 18

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

[32 17]
[32 23]
matrix, advanced

Question 19

Given: A = {2, 3, 4, 6, 7} B = {5, 6, 7, 8} C = {1, 3, 6} Find: C − A
Difference of C and A:
{1, 3, 6} − {2, 3, 4, 6, 7} = {1}
sets, operations

Question 20

If f(x) = 2x + 1, then find f(2)
Substituting x = 2:
22 + 1 = 23
functions, substitution
Previous Worksheet Next Worksheet