Practice ECAT questions with answers and explanations.
Choose an option to check your answer.
The decimal 0.375 equals 375/1000.
Dividing numerator and denominator by 125 gives 3/8.
Choose an option to check your answer.
Dividing 84 by primes gives 84 = 2 × 2 × 3 × 7.
This is 2² × 3 × 7.
Choose an option to check your answer.
Divide 7 by 20 or convert the denominator to 100.
Since 7/20 = 35/100, the decimal is 0.35.
Choose an option to check your answer.
An irrational number cannot be expressed as a ratio of integers.
The number √2 has a nonterminating, nonrepeating decimal expansion.
Choose an option to check your answer.
Twenty-five percent is one quarter.
One quarter of 240 is 240 ÷ 4 = 60.
Choose an option to check your answer.
The expression 2⁵ means multiplying five factors of 2.
Thus, 2 × 2 × 2 × 2 × 2 = 32.
Choose an option to check your answer.
The increase is 20 on an original value of 80.
The percentage increase is 20/80 × 100 = 25%.
