Practice HAT questions with answers and explanations.
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The original total is 8 × 15 = 120.
After removing 22, the total is 98, and 98 ÷ 7 = 14.
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Multiply both numbers by 10 to remove decimals.
Then 48 ÷ 6 = 8.
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The original total age is 4 × 25 = 100 years.
The new total is 5 × 27 = 135, so the new age is 35.
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The third decimal digit is 6, so the second decimal digit is rounded up.
Thus, 18.746 becomes 18.75.
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The weighted sum is 70 × 2 + 90 × 3 = 410.
Dividing by the total weight 5 gives 82.
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The reciprocal of 0.25 is 1 ÷ 0.25.
Since 0.25 = 1/4, its reciprocal is 4.
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One third of 3/4 is 1/4 of the full tank.
The remaining amount is 3/4 - 1/4 = 1/2.
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The score fraction is 42/50.
Multiplying by 100 gives 84%.
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Starting from 100, a 10% increase gives 110.
A 10% decrease from 110 gives 99, which is 1% lower.
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Dividing 84 by primes gives 84 = 2 × 2 × 3 × 7.
This is 2² × 3 × 7.
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Divide 7 by 20 or convert the denominator to 100.
Since 7/20 = 35/100, the decimal is 0.35.
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An irrational number cannot be expressed as a ratio of integers.
The number √2 has a nonterminating, nonrepeating decimal expansion.
