Numeracy and Data Analysis: Calculations, Ratios, and Probability Events

(i) Calculate
a) 850 / (62 + 72) (3*3+3)
Solution
850 / (36 + 49) (12)
850 / (85) (12)
850/1020
= 0.833
b) (4232 / 232 ) (242 / 12)
Solution
(4232 / 529 ) (576 / 12)
(8 ) (48)
=384
c) 1442 / 14 (4 + 4 *4) - 412
Solution
= 1442 / 14 (20) - 412
= 1442 / 280 - 412
= 5.15 – 1681
= - 1675 .85
d) 23 * [ (125 * 5 * 2 + 102) / (5 * 33) ]
Solution
= 8 * [ (1250 + 100) / (135) ]
= 8 * [ (1350) / (135) ]
= 80
e) [726 / (8+3)] / 52 + 8 – 3 + [(52 * 3) 2 ]
Solution
1

= [726 / (11)] / 25 + 8 – 3 + [(52 * 3) 2 ]
= [66] / 25 + 8 – 3 + [(52 * 3) 2 ]
= 2.64 + 8 – 3 + [150]
= 157.64
(ii) Calculate
(a) (-33) * (-3)
Solution
= + 99
(b) 41 + (-6)
Solution
= 41 -6
= + 35
(c) (-56) / 7 - (-12)
Solution
= (-56) / 7 + 12
= -8 + 12
= + 4
(iii) Calculate
(a) ¾ + 3/7
Solution
= [ 7*3 + 3*4 ] / 28
= [ 21 + 12 ] / 28
= [ 33 ] / 28
= 1.17
(b) 5/8 - 2/5
2

Solution
= [ 5*5 + 2*8 ] / 40
= [ 25 + 16 ] / 40
= [ 41 ] / 40
= 1.025
(c) 16/3 + 12/5
Solution
= [ 16*5 + 12*3 ] / 15
= [ 80 + 36 ] / 15
= [ 116 ] / 15
= 7.73
(iv) Evaluate
a)
Total no of shirts = 65000
Percentage of blue shirts = 42.8%
Solution
Number of blue shirts = [ 65000 * 42.8 ]/ 100
= 27820
Number of blue shirts = 27820
b)
Total no of students = 28000
Percentage of students who belong to UK = 37.6%
Solution
Percentage of students who does not belong to UK = 100 - 37.6 = 62.4%
Percentage of students not belonging to UK = [ 28000 * 62.4 ] /100
= 17472
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