17 – 3 (1 - 2² ) + 3- 8 x 2 = 17 – 3(1 – 4) +3 – 16 = 17 – 3( -3) – 13 =

17 + 9 – 13 = 13

The correct answer is (B) 13.

In solving Math problems, we follow PEMDAS, which is an acronym

for Parentheses, Exponents, Multiplication, Division, Addition and

Subtraction. In any problem, we must first solve what is inside the

parentheses and the exponents, then multiplication and division,

and lastly, addition and subtraction.

Let x be the cost of one jacket.

920 = 2x

460 = x

She got one jacket for free because of the Buy 2 Take 1 promo.

The correct answer is (A) P 460

Factors are numbers that we multiply together to get another

number. For example, 2 and 5 are factors of the number 10 because

when we multiply 2 and 5, the result is 10.

Factors for 81: 1 and 81, 3 and 27, 9 and 9

Factors for 243: 1 and 243, 3 and 81, 9 and 27..

Comparing the factors:

Factors for 81: 1, 3, 9, 27, 81

Factors for 243: 1, 3, 9, 27, 81, 243

The common factors are 1, 3, 9, 27, 81; the largest of which is 81.

Hence, the greatest common factor is (D) 81.

Tip:

Another solution for this type of question is to run through the

choices and check if the two numbers can be divided by the choices.

Since we are looking for the GCF, we start with the largest number

among the choices, 243. Is 81 divisible by 243? The answer is NO,

so we immediately move on to the next largest choice, 81.

Both 81 and 243 are divisible by 81, so we can quickly answer letter

(D) 81.

Divisibility rule for 4:

If the last 2 digits is divisible by 4, then the whole number is divisible

by 4.

(A) 25972, last 2 digits is 72 which is divisible by 4

(B) 37752, last 2 digits is 52 which is divisible by 4

(C) 63046, last 2 digits is 46 which is not divisible by 4

(D) 14720, last 2 digits is 20 which is divisible by 4

(E) 58336, last 2 digits is 36 which is divisible by 4

The correct answer is (C) 63046.

Average = (sum of a, b and c)/ (count of a, b and c) = (387+117) / 3 =

504 / 3 = 168

The correct answer is (B) 168

13% (258) = 78% (x)

33.54 =0.78 (x)

33.54 / 0.78 = x

43 = x

The correct answer is (D) 43.

Note: X_n is the nth term in the sequence. In this case, the 4^th term is

X4 and n=4.

X₄ = 7 (2/7)⁴ = 7 (16/2401) = 16/343

The correct answer is (C) 16/343.

Tip #1:

Practice! Practice! Practice!

Tip #2:

Write down the numbers with the decimal points all lined up.

Don’t forget to put the decimal point in the answer.

The correct answer is (A) 39.06.

  17.92  20.15   0.99-------  39.06

The formula for distance = rate x time

Let t be the time when the two cars are 711 kilometers apart.

Distance_A + Distance_B = Rate_A x time_A + Rate_B x Time_B

711 = 73t + 85t

711 = 158t

711/158 = t

4.5 = t

The correct answer is (B) 4.5

When adding fractions with different denominators, we must first

make the denominators the same. Find the least common multiple

(LCM) which will serve as the new denominator. In this case, the

LCM for 15, 12 and 4 is 60.

Next, we convert the fractions using the LCM as the new

denominator. The new numerator can be obtained by dividing the

LCM by the old denominator, then multiplying it with the old

numerator.

Example, for 33/15.

60 ÷15 x 33 = 132

Hence, 33/15 becomes 132/60.

61/12 becomes 305/60

7/4 becomes 105/60.

Adding the three new fractions results to 9 2/60 (D).