Practice HAT questions with answers and explanations.
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The largest two-digit multiple of 7 is 7 × 14.
This equals 98.
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The LCM uses prime powers 2³, 3, and 5.
Their product is 8 × 3 × 5 = 120.
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The second number is product divided by the first number.
Thus, 216 ÷ 18 = 12.
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For two positive integers a and b, gcd(a,b) × lcm(a,b) = ab.
This identity links common factors and common multiples.
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The extreme value 48 pulls the mean upward.
The median is resistant to the outlier and better represents the center.
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The weighted total is 1×2 + 2×3 + 3×5 = 23.
There are 10 observations, so the mean is 2.3.
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Pie-chart size is proportional to sector angle.
The largest angle, 108°, represents the largest part.
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The six-month total is 6 × 80 = 480 mm.
The missing month is 480 - 370 = 110 mm.
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The probability is 4/10 × 3/9.
This simplifies to 12/90 = 2/15.
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If 55% are girls, then 45% are boys.
Forty-five percent of 480 is 216.
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Three distinct objects can be arranged in 3! ways.
Thus, 3! = 3 × 2 × 1 = 6.
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A full pie chart is 360°.
Thus, 72/360 × 100 = 20%.
