Free VCE Year 11 Foundation Mathematics Flashcard Review
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Convert 3/8 to a decimal and a percentage.
3 ÷ 8 = 0.375 = 37.5%
What multiplier increases an amount by 12%?
1.12
What multiplier decreases an amount by 25%?
0.75
Round 6.4851 to 2 decimal places.
6.49
Truncate 6.4851 to 1 decimal place.
6.4
Estimate 612 × 38 by leading digit approximation.
600 × 40 = 24 000
Order of magnitude of 47 000?
10⁴
Evaluate 5 + 3 × 2².
5 + 3 × 4 = 17
Simplify the ratio 15 : 25.
3 : 5
Share $90 in the ratio 2 : 7.
9 parts, $10 each: $20 and $70
Convert 2 h 45 min to decimal hours.
2.75 h
Convert 20 m/s to km/h.
20 × 3.6 = 72 km/h
Categorical vs numerical data?
Categorical data are labels or groups; numerical data are counts or measurements you can meaningfully average.
Nominal vs ordinal?
Nominal categories have no order (pet type); ordinal categories have a natural order (S, M, L).
Discrete vs continuous?
Discrete data come from counting (whole values); continuous data come from measuring (any value in a range).
Best display for comparing frequencies of a categorical variable?
A bar chart (separate bars with gaps); a pie chart if showing parts of a whole.
Pie chart sector angle formula
Angle = (frequency ÷ total) × 360°.
Why do histogram bars touch?
Because the horizontal axis is a continuous numerical scale of class intervals.
Position of the median in n ordered values
(n + 1) ÷ 2
Interquartile range
IQR = Q₃ − Q₁; spread of the middle 50% of values.