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9 questions · self-marked practice — reveal the answer and mark yourself.

Question 12 Marks
Simplify:
$16-[11+\{8-6-\overline{4-2}\}]$
Answer
We have:
$16-[11+\{8-(6-\overline{4-2})\}]$
= 16 - [11 + {8 - (6 - 2)}] (Removing bar)
= 16 - [11 + {8 - 4}]
= 16 - [11 + 4] (Removing braces)
= 16 - 15
= 1 (Removing square brackets)
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Question 22 Marks
Simplify:
21 - 12 ÷ 3 × 2
Answer
Given expression:
= 21 - 12 ÷ 3 × 2
= 21 - 4 ​× 2 [Performing division]
= 21 - 8 [Performing multiplication]
= 13 [Performing subtraction]
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Question 32 Marks
Simplify:
13 - (12 - 6 ÷ 3)
Answer
Given expression:
= 13 - (12 - 6 ÷ 3)
= 13 - (12 - 2) [Performing division]
= 13 - 10 = 3 [Performing subtraction]
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Question 42 Marks
Simplify:
$27-[18-\{16-(5-\overline{4-4})\}]$
Answer
Given expression:
$27-[18-\{16-(5-\overline{4-4})\}]$
= 27 - [18 - {16 - (5 - 3)}] [Removing bar]
= 27 - [18 - {16 - 2}] [Removing parentheses]
= 27 - [18 - 14] [Removing braces]
= 27 - 4 [Removing square brackets]
​= 23
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Question 52 Marks
Simplify:
16 + 8 ÷ 4 - 2 × 3
Answer
Given expression:
= 16 + 8 ÷ 4 - 2 × 3
= 16 + 2 - 2 ​× 3 [Performing division]
= 16 + 2 - 6 [Performing multiplication]
= 18 - 6 [Performing addition]
= 12 [Performing subtraction]
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Question 62 Marks
Simplify:
16 + 8 ÷ 4 - 2 × 3
Answer
We have:
16 + 8 ÷ 4 - 2 × 3
= 16 + 2 - 2 × 3 (Division)
= 16 + 2 - 6 (Multiplication)
= 18 - 6 (Addition)
= 12
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Question 72 Marks
Simplify:
36 - [18 - {14 - (15 - 4 ÷ 2 × 2)}]
Answer
Given expression:
36 - [18 - {14 - (15 - 4 ÷ 2 × 2)}] [Performing division]
= 36 - [18 - {14 - (15 - 2 × 2)}] [Performing multiplication]
= 36 - [18 - {14 - (15 - 4)}]
= 36 - [18 - {14 - 11}] [Removing parentheses]
= 36 - [18 - 3] [Removing braces]
= 36 - 15 [Removing square brackets]
= 21
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Question 82 Marks
Simplify:
36 - [18 - {14 - (15 - 4 ÷2 ×2)}]
Answer
Given expression:
= 36 - [18 - {14 - (15 - 4 ÷ 2 × 2)}]
= 36 - [18 - {14 - (15 - 2 × 2)}] [Performing division]
= 36 - [18 - {14 - (15 - 4)}] [Performing multiplication]
= 36 - [18 - {14 - 11}] [Removing parentheses]
= 36 - [18 - 3] [Removing braces]
​= 36 - 15 [Removing square brackets]
= 21
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Question 92 Marks
Simplify:
19 - [4 + {16 - (12 - 2)}]
Answer
Given expression:
= 19 - [4 + {16 - (12 - 2)}]
= 19 - [4 + {16 - 10}] [Removing parentheses]
= 19 - [4 + 6] [Removing braces]
= 19 - 10 [Removing square brackets]
= 9
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