Rearranging Quiz

CAMBRIDGE IGCSE MATHS (0580)

Paper 2 (P2): Rearranging Topic Quiz

Question 1:
Make \( w \) the subject of the formula: \( c = \frac{4 + w}{w + 3} \)
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Question 2:
Make \( w \) the subject of the formula: \( t = 2 - \frac{3w}{a} \)
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Question 3:
Rearrange the formula \( y = \frac{x + 2}{x - 4} \) to make \( x \) the subject.
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Question 4:
Make \( y \) the subject of the formula: \( A = \pi x^2 - \pi y^2 \)
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Question 5:
Rearrange \( u = \sqrt{8 + \frac{4}{x}} \) to make \( x \) the subject.
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Question 6:
Make \( b \) the subject of the formula: \( c = \sqrt{a^2 + b^2} \)
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Question 7:
Rearrange \( y = x^2 + 4 \) to make \( x \) the subject.
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Question 8:
Make \( x \) the subject of the formula: \( y = (x - 4)^2 + 6 \)
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Question 9:
(a) Find \( V \) when \( A = 15 \) and \( h = 7 \), where \( V = \frac{1}{3}(Ah) \)
(b) Make \( h \) the subject of the formula.
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Question 10:
Make \( r \) the subject of the formula: \( v = \sqrt[3]{p + r} \)
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Question 11:
Make \( x \) the subject of the formula:
\( y = 2 + \sqrt{x - 8} \)
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Question 12:
Make \( x \) the subject of the formula:
\( y = ax^2 + b \)
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Question 13:
Make \( a \) the subject of the formula:
\( s = ut + \frac{1}{2}at^2 \)
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Question 14:
Rearrange the formula \( y = \frac{qx}{p} \) to write \( x \) in terms of \( p, q, \) and \( y \).
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Question 15:
Make \( p \) the subject of the formula:
\( rp + 5 = 3p + 8r \)
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Question 16:
Make \( q \) the subject of the formula:
\( p = 2q^2 \)
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Question 17:
Make \( a \) the subject of the formula:
\( x = y + \sqrt{a} \)
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Question 18:
Make \( x \) the subject of the formula:
\( y = \sqrt{x^2 + 1} \)
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Question 19:
Make \( x \) the subject of the formula:
\( A = (2\pi + y)x^2 \)
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Question 20:
Make \( m \) the subject of the formula:
\( x = \frac{3m}{2 - m} \)
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