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Mathematical Reasoning and Statistics Review
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Mathematical Reasoning and Statistics Review
Mathematical Reasoning and Statistics Review
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1
Question
What is the ratio of sheep to chickens in simplest terms?
Answer
275:175 simplifies to 11:7
2
Question
Calculate weekly earnings: 12 h at normal rate, 3 h at time-and-half.
Answer
$369.60
3
Question
Describe scatterplot: linearity, trend, strength, and direction.
Answer
Linear, positive, strong
4
Question
What is the percent error if true length 13.0 cm and measured 13.6 cm?
Answer
0.37%
5
Question
Identify positively skewed distribution from data sets.
Answer
Right-skewed distribution (long tail to the right)
6
Question
From a diagram, determine distance QR to nearest metre.
Answer
31 m
7
Question
Ben weighs 85 kg, 3 glasses of 1.6 drinks each. BAC approx?
Answer
0.050
8
Question
Length of MST in a network (given options)?
Answer
56
9
Question
Which flour pack offers best value by price per gram?
Answer
500 g for $1.30
10
Question
Braking scenario: 1.6 s reaction time, 98 m braking distance.
Answer
142 m
11
Question
Craig's THR: MHR from I, RHR, target 165 bpm.
Answer
185 bpm
12
Question
Electricity price grows 3.4% yearly for 8 years. Multiplier?
Answer
1.343 (approximately)
13
Question
Flow network: capacity of cut 1 with given values.
Answer
e + g + d
14
Question
Remy z-score 2.2, mean 64, SD 5. Actual score?
Answer
74
15
Question
Trapezoidal rule: area closest for two applications.
Answer
1395 m^2
16
Question
Sophia: 1500 shares bought at 3.25, sold at 4.90. Net profit?
Answer
Profit: $2775
17
Question
Q1 and Q3 given; max range with no outliers?
Answer
12
18
Question
Caitlin furniture: cost function for making n^2 tables?
Answer
Need data; see working sheet
19
Question
A compass survey: angle AOD and boundary distance AD?
Answer
Angle AOD and distance depend on diagram/scale
20
Question
FV after 2 months with 3.6% p.a. monthly compounding?
Answer
2410.81
21
Question
18 months: with 3.6% p.a. monthly, starting 21600, Beth's excess?
Answer
Compute using formula
22
Question
From 7 blue and 5 red, P(both red) without replacement?
Answer
25/95 = 0.2632
23
Question
EST(H) in project network?
Answer
Sum of predecessor durations per diagram
24
Question
Minimum completion time for project in network?
Answer
Critical path duration; compute from diagram
25
Question
What is the critical path for project in network?
Answer
Path with zero slack
26
Question
Float time of activity E in network diagram?
Answer
Slack(E) = LST - EST
27
Question
Depreciation in year 2 (declining balance 26%)?
Answer
≈ 1154
28
Question
Tax on 110000 with depreciation deduction (Australia)?
Answer
≈ $27,000
29
Question
Graph y = -x + 1 and y = 2x + 6; intersection?
Answer
x = -1, y = 2
30
Question
Loan 15000, monthly payments, 5 years, 7.2% p.a.; total interest?
Answer
Compute with annuity factor