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Symbol Notation - Intermediate Level: directional symbols INTERMEDIATE

Exam-focused quick response training ★ worksheet: 20 intermediate-level symbol notation questions. Worksheet 13 of 30 targets directional symbols. Build proficiency in symbol relationships, logical symbols, notation decoding with detailed solutions. Ideal for mid-level competitive exam preparation.

📝 Worksheet 13 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 13 of 30 (43% complete)

Question 1

Given: A = {1, 2, 6, 7, 9} B = {1, 4, 7, 10} C = {3, 4, 8, 9} Find: C ∩ A
Intersection of C and A:
{3, 4, 8, 9} ∩ {1, 2, 6, 7, 9} = {9}
sets, operations

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: 8 ≼ 11
≼ = ≤
8 ≤ 11 is True
inequality, comparison

Question 4

If ♧ = ×, ◇ = ÷ (standard order of operations applies), then evaluate: 2 ♧ 2 ◇ 12
Substituting symbols: 2 × 2 ÷ 12
Applying order of operations: = 0
arithmetic, basic

Question 5

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

[17 20]
[20 24]
matrix, advanced

Question 6

If P = False, Q = True, and '<->' means IFF, then evaluate: P <-> Q
Logical operation: IFF
P=False, Q=True → IFF is True when both are same
Result: False
logic, boolean

Question 7

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(h(4)))
Evaluate from innermost outward:
p(r(h(4)))
= 312
nested, functions, advanced

Question 8

If g(x) = 3x - 1, then find g(4)
Substituting x = 4:
34 - 1 = 33
functions, substitution

Question 9

If □ = ÷, ♧ = × (standard order of operations applies), then evaluate: 3 □ 6 ♧ 12
Substituting symbols: 3 ÷ 6 × 12
Applying order of operations: = 0
arithmetic, basic

Question 10

If '≈' means '≈', then determine: 16 ≈ 5
≈ = ≈
16 ≈ 5 (approximately equal) is False
inequality, comparison

Question 11

Given matrices: A = [ 2 2] [ 4 2] B = [ 5 3] [ 1 4] Compute: A + B
Matrix addition:
A + B =

[ 7 5]
[ 5 6]
matrix, advanced

Question 12

If f(x) = x/2, then find f(3)
Substituting x = 3:
3/2 = 1.50
functions, substitution

Question 13

If '≠' means '≠', then determine: 13 ≠ 12
≠ = ≠
13 ≠ 12 is True
inequality, comparison

Question 14

If k(x) = x + 7, then find k(9)
Substituting x = 9:
9 + 7 = 16
functions, substitution

Question 15

Given: A = {1, 2, 8} B = {3, 4, 5, 8, 10} C = {1, 2, 3, 9, 10} Find: C ∪ B
Union of C and B:
{1, 2, 3, 9, 10} ∪ {3, 4, 5, 8, 10} = {1, 2, 3, 4, 5, 8, 9, 10}
sets, operations

Question 16

If '≺' means '<', then determine: 6 ≺ 7
≺ = <
6 < 7 is True
inequality, comparison

Question 17

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

Question 18

If P = False, Q = False, and '<->' means IFF, then evaluate: P <-> Q
Logical operation: IFF
P=False, Q=False → IFF is True when both are same
Result: True
logic, boolean

Question 19

Given: A = {1, 2, 3, 4, 9, 10} B = {1, 3, 7, 9, 10} C = {2, 5, 6, 9} Find: B △ A
Symmetric Difference of B and A:
{1, 3, 7, 9, 10} △ {1, 2, 3, 4, 9, 10} = {2, 4, 7}
sets, operations

Question 20

If ☆ = -, ∆ = + (standard order of operations applies), then evaluate: 5 ☆ 6 ∆ 9
Substituting symbols: 5 - 6 + 9
Applying order of operations: = 8
arithmetic, basic
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