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SURDS
EXAM-TYPE QUESTIONS
NO CALCULATOR
Ref: G188. 1R1
A1 A2 A3 A4
Express 48 in the form a b Express 4 5 in the form a where Express 175 − 63 in the form Express 75 + 27 in the form
where b is a prime number. a is an integer. a 7 where a is an integer. a b where a and b are integers
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B1 B2 B3 B4
2 castscztss Show that Show that
Expand (3+ 5)(2 + 5) Expand (2 + 3 7 )
4 656563
Give your answer in the form Give your answer in the form (4 + 2 3)(5 − 3) = 14 + 6 3 (2 + 8)(9 − 3 2) = 6 + 12 2
a + b 5 where a and b are integers a + b 7 where a and b are integers Show clear working out. Show clear working out.
67 125 carrier lots 6 i
C3
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C4 A rectangle has an area of
C1 C2
Show that
EIII.IE Rationalise the denominator and 2 + 20 80 cm2 and a width of 1+ 5 cm.
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Simplify giving your
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simplify fully
5 −1
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12 4 5 Calculate the exact height of the
=
i
9+2 3
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45 5 answer in the form a + b 5 rectangle, leaving your answer as a
3
Show clear working out.
eieiii simplified surd.
D1 Given that D2 Given that D3 Given that D4 Given that
q
(a + b)2 = 49 + 12 b (1+ e)(3+ e) = f + 4 5 (5 + 3 2)2 = p + ( x + 8x )2 = 54 + y 2
8
Find the value of a and Find the value of e and Find the value of p and Find the value of x and
the value of b. the value of f. the value of q. the value of y.
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