2 Marks Questions

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: $21 - 12 ÷ 3 \times 2$

Answer

Given expression: $= 21 - 12 ÷ 3 \times 2 $
$= 21 - 4 \times 2$ [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: $16 + 8 ÷ 4 - 2 \times 3$

Answer

Given expression: $= 16 + 8 ÷ 4 - 2 \times 3 $
$= 16 + 2 - 2 \times 3$ [Performing division]
$= 16 + 2 - 6$ [Performing multiplication]
$= 18 - 6$ [Performing addition]
$= 12$ [Performing subtraction]

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Question 62 Marks

Simplify:
$16 + 8 ÷ 4 - 2 \times 3$

Answer

We have:
$16 + 8 ÷ 4 - 2 \times 3$
$= 16 + 2 - 2 \times 3$ (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:
$36 - [18 - {14 - (15 - 4 ÷ 2 \times 2)}]$ [Performing division]
$= 36 - [18 - {14 - (15 - 2 \times 2)}]$ [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: $36 - [18 - {14 - (15 - 4 ÷2 \times 2)}]$

Answer

Given expression: $= 36 - [18 - {14 - (15 - 4 ÷ 2 \times 2)}] $
$= 36 - [18 - {14 - (15 - 2 \times 2)}]$[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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Maths 2 Marks Questions

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