Richard IGCSE test 3(FIXED)

Richard test 3
1)

Solution: Triangle area = 6x10/2 = 30 (cm2)
Semi-circle area (large) = 5x5xπ/2 = 39.25 (cm2)
Semi – circle area (smaller) = 2x2xπ/2 = 6.28 (cm2)
Total area = 30 + 39.25 – 6.28 = 62.97 (cm2)
2)


Solution: number of letters = 11
a) number of letter “M” = 2
P(M) = 2/11
b) number of letter “T” = 2
p(T) = 2/11
P(T) + P(M) = 2/11 + 2/11 = 4/11
c) number of vowels = 4
P(vowel) = 4/11
3)


Solution : midpoint M = ( ½( 4+-3); ½ (3+0) ) = (1/2, 3/2)
4)

Solution:
= 3x – 1 – 5x + 15 = -2x + 14
5)

Solution:
1st transaction: amount of euros he got = $600 x €/$1.25 = €750
2nd transaction: amount of dollars he got finally = €750/€/$1.2 = $625

6)


Red area: (A∩B) = mutual area which belongs to A and B

Green area: (A∩B) ∪ C = area which belongs either to C or
(A∩B)


b)

Solution:
B’ = area without B
A∩B’ = green area

7)

Solution: final amount = $300x(1+0.07)5 = $420.77
8)


Solution : = x10x0.6/320.6= x6/8
9)

Solution:
= (4-2x-3x-2) / (1/4)x5 = 1/16x6/(1/4)x5 = 1/4x11
10)

OVERALL:

8/12
Well done Richard. Your work is amazing