Quantitative Reasoning
Basic Knowledge Exam
Questions and Complete
Solutions Graded A+
6 x 7 - Answer: 42
6 x 8 - Answer: 48
7 x 8 - Answer: 56
12 x 5 - Answer: 60
12 x 6 - Answer: 72
12 x 7 - Answer: 84
12 x 8 - Answer: 96
12 x 9 - Answer: 108
12 x 11 - Answer: 132
How to divide any number by 5. - Answer: Double the number and divide it by 10 in either order
,How to square a multiple of 10. - Answer: Square the digits without the zeros, then put 2 zeros after the
nonzero numbers.
How to square a number ending in 5. - Answer: 1. Remove the 5, leaving the remaining digit(s)
2. Add 1 to the remaining digit(s)
3. Multiply the numbers (n)(n+1)
4. Put this product in front of 25.
1. If we know the value of n², then how can we get the next square up (n+1)²? - Answer: Add n and (n+1)
to n²
2. When a multiple of 10 greater than 1 is written in standard form, the exponent next to the 10 equals
what? - Answer: The number of zeros after the 1. (10,000 = 10⁴)
For powers of 10 less than 1, the negative exponent next to the 10 equals what? - Answer: The number
of decimal places to the right of the decimal. (10^-2 =.01)
2. How to multiply with decimals? - Answer: 1. Count the number of digits to the right of the decimal of
each number. The sum of these is the amount of decimal places in your product
2. Find the product without worrying about the decimals
3. Put the correct number of decimal places into the final produce
How to divide with decimals? - Answer: move the decimals of both numbers one place to the right until
the denominator is a whole number.
2. How to find the power of a decimal? - Answer: Multiply the amount of digits to the right of the
decimal with the exponent and that is the amount of decimal places will be in your answer.
(.03)³=.000027
2. What is 1/6 in decimal form? - Answer: 0.166666....
, What is 1/7 in decimal form? - Answer: ~0.143
What is 5/6 in decimal form? - Answer: 0.83333333.....
What is 1/8 in decimal form? - Answer: 0.125
What is 3/8 in decimal form? - Answer: 0.375
What is 5/8 in decimal form? - Answer: 0.625
What is 7/8 in decimal form? - Answer: 0.875
2. How to simplify a complex fraction? - Answer: Multiply the numerator and denominator of the big
fraction by each denominator of the inner fractions.
2. How to quickly compare 2 fractions that are relatively close? - Answer: 1. 7/11 ?? 5/8
2. (7)(8) ?? (11)(55)
3. 56 > 55
4. So, 7/11 > 5/8
3. What is the equation for simple interest? - Answer:
3. What is the equation for compound interest? - Answer: V=P[1+(r/100n)]^nt
3. The equation for finding the % increase/decrease. - Answer: 100 (difference)/ original value
4. How to determine if an integer is divisible by 3? - Answer: If the sum of the digits are a multiple of 3,
then it is divisible by 3.
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