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Symbol Notation - Intermediate Level: notation puzzles INTERMEDIATE

Quick mental agility ★ session: 20 intermediate-level symbol notation questions. Worksheet 17 of 30 - Focus: notation puzzles. Practice symbol interpretation, symbolic representation, notation systems with instant feedback. Great for mid-level students needing moderate complexity with mixed patterns practice.

📝 Worksheet 17 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 17 of 30 (56% complete)

Question 1

In the notation system where ● means x + x, what is the value of ●(2)?
Applying ● to 2:
2 + 2 = 4
complex, systems

Question 2

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(5))
Evaluate from innermost outward:
h(g(5))
= 625
nested, functions, advanced

Question 3

If ♤ = -, ☆ = - (standard order of operations applies), then evaluate: 7 ♤ 4 ☆ 7
Substituting symbols: 7 - 4 - 7
Applying order of operations: = -4
arithmetic, basic

Question 4

If '≼' means '≤', then determine: 4 ≼ 15
≼ = ≤
4 ≤ 15 is True
inequality, comparison

Question 5

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(q(6))
Evaluate from innermost outward:
f(q(6))
= 5
nested, functions, advanced

Question 6

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

[ 5 5]
[ 2 6]
matrix, advanced

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: h(g(p(3)))
Evaluate from innermost outward:
h(g(p(3)))
= 400
nested, functions, advanced

Question 8

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

[ 5 5]
[ 5 3]
matrix, advanced

Question 9

In the notation system where ♥ means 3x, what is the value of ♥(5)?
Applying ♥ to 5:
35 = 35
complex, systems

Question 10

If f(x) = x/2, then find f(9)
Substituting x = 9:
9/2 = 4.50
functions, substitution

Question 11

If ◆ = ×, ⊖ = - (standard order of operations applies), then evaluate: 9 ◆ 5 ⊖ 15
Substituting symbols: 9 × 5 - 15
Applying order of operations: = 30
arithmetic, basic

Question 12

If '≠' means '≠', then determine: 4 ≠ 9
≠ = ≠
4 ≠ 9 is True
inequality, comparison

Question 13

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 14

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

Question 15

If ∆ = +, ⊘ = ÷ (standard order of operations applies), then evaluate: 3 ∆ 9 ⊘ 15
Substituting symbols: 3 + 9 ÷ 15
Applying order of operations: = 3
arithmetic, basic

Question 16

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(5))
Evaluate from innermost outward:
h(g(5))
= 625
nested, functions, advanced

Question 17

If '≽' means '≥', then determine: 14 ≽ 4
≽ = ≥
14 ≥ 4 is True
inequality, comparison

Question 18

If P = True, Q = True, and 'xor' means XOR, then evaluate: P xor Q
Logical operation: XOR
P=True, Q=True → XOR is True when inputs differ
Result: False
logic, boolean

Question 19

If '≈' means '≈', then determine: 10 ≈ 10
≈ = ≈
10 ≈ 10 (approximately equal) is True
inequality, comparison

Question 20

If h(x) = x³/2, then find h(8)
Substituting x = 8:
8³/2 = 256
functions, substitution
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