Home / iGCSE Mathematics (0580) :E2.1 Use letters to express generalized numbers and express basic arithmetic processes algebraically.iGCSE Style Questions Paper 2

iGCSE Mathematics (0580) :E2.1 Use letters to express generalized numbers and express basic arithmetic processes algebraically.iGCSE Style Questions Paper 2

Question

Factorise completely.
(a) \(15c^2-5c\)
(b) 2kp – km + 6p – 3m

Answer/Explanation

Ans:

(a) 5c(3c-1)final answer
(b) (2p-m)(k+3) final answer

Question

Make b the subject of the formula.
\(c = \sqrt{a^2 + b^2}\)

Answer/Explanation

Ans:

\([\pm] \sqrt{c^2 – a^2}\) oe final answer

Question

 (a)\(t^{x}\times t^{2}=t^{10}\)
Find the value of x.
x = …………………………………………
(b) Simplify.
(i)\(\left ( \frac{4}{x} \right )^{-2}\)
…………………..
(ii)\(a^{3}b^{7}\div a^{6}b^{2}\)
………………

Answer/Explanation

(a) 8
(b)(i)\(\frac{x^{2}}{16}\) final answer
(ii)\(a^{-3}b^{5} or \frac{b^{5}}{a^{3}}\) final answer

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