SSAT Upper Level Math : Basic Addition, Subtraction, Multiplication and Division

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #1081 : Ssat Upper Level Quantitative (Math)

What is the sum of the two percentages in decimal form?

7 percent and 135 percent

Possible Answers:

\displaystyle 142

\displaystyle .0142

\displaystyle 14.2

\displaystyle .142

\displaystyle 1.42

Correct answer:

\displaystyle 1.42

Explanation:

You add the percentages and you get 142 percent. To convert a percent to a decimal, you divide by 100, so the answer is 1.42.

Example Question #1 : Basic Addition, Subtraction, Multiplication And Division

\displaystyle 3+8\div4-(2\times 5)^{^{2}}

Possible Answers:

\displaystyle 97\frac{1}{2}

\displaystyle 105

\displaystyle -95

\displaystyle -5

\displaystyle \frac{37}{12}

Correct answer:

\displaystyle -95

Explanation:

Do the expression in the parantheses and you get \displaystyle 10. Then you do \displaystyle 10^{2} and you get \displaystyle 100. Then you do \displaystyle 8\div4 and you get \displaystyle 2. Then you add \displaystyle 3+2-100 = -95.

Example Question #1 : Basic Addition, Subtraction, Multiplication And Division

If Susie bought a pair of shoes for \displaystyle \$ 75.98, a shirt for \displaystyle \$23.48, and a pair of pants for \displaystyle \$ 48.34. How much did she spend in total?

Possible Answers:

\displaystyle \$$147.60

\displaystyle \$$148.80

\displaystyle \$ 147.40

\displaystyle \$ 146.80

\displaystyle \$ 147.80

Correct answer:

\displaystyle \$ 147.80

Explanation:

You add all three values and you get \displaystyle \$147.80.

Example Question #2 : Basic Addition, Subtraction, Multiplication And Division

\dpi{100} .24+2.5+\frac{1}{4}=

Possible Answers:

\displaystyle 3.99

\displaystyle 6.25

\displaystyle 2.99

\displaystyle 2.29

Correct answer:

\displaystyle 2.99

Explanation:

First, convert \dpi{100} \frac{1}{4} into a decimal. We are left with

\dpi{100} .24+2.5+.25

Now add the three numbers, being careful to line the decimal points up exactly.  From right to left we will add:

1) 4 and 5 = 9

2) 5, 2, and 2 = 9

3) 2 is alone = 2

This leaves us with 2.99 for the final answer.

Example Question #3 : How To Add

\displaystyle K and \displaystyle L are prime integers: \displaystyle 45< K < 55 and \displaystyle 15 < L < 25. How many possible values of \displaystyle K + L are there?

Possible Answers:

Eight

Five

Seven

Four

Six

Correct answer:

Five

Explanation:

\displaystyle K can be equal to any of the prime numbers between 45 and 55, of which there are two - 47 or 53. 

\displaystyle L can be equal to any of the prime numbers between 15 and 25, of which there are three - 17, 19, and 23.

Their sum can be any of the following:

\displaystyle 47+ 17= 64

\displaystyle 47+ 19= 66

\displaystyle 47+ 23= 70

\displaystyle 53+ 17= 70

\displaystyle 53+ 19= 72

\displaystyle 53+ 23= 76

This makes five possible sums.

Example Question #1 : How To Add

\displaystyle K and \displaystyle L are prime integers. \displaystyle 35< K < 45 and \displaystyle 85 < L < 95. What is the greatest possible value of \displaystyle K + L ?

Possible Answers:

\displaystyle 132

\displaystyle 128

\displaystyle 130

\displaystyle 136

\displaystyle 134

Correct answer:

\displaystyle 132

Explanation:

To find the greatest possible value of \displaystyle K + L, add the greatest possible value of \displaystyle Kto the greatest possible value of \displaystyle L. This happens when \displaystyle K is equal to the greatest prime between 35 and 45, which is 43, and when \displaystyle L is equal to the greatest prime between 85 and 95, which is 89. Add the two numbers:

\displaystyle 43 + 89 = 132

Example Question #2 : Algebra

In a math contest, the team from Lincoln High comprised five students - Melanie, Ned, Olivia, Phyllis, and Quinn. Melanie outscored Ned by 12 points; Ned outscored Quinn by 19 points; Phyllis outscored Ned by 45 points and Olivia by 20 points. Who came in third among the five?

Possible Answers:

Ned

Melanie

Olivia

Phyllis

Quinn

Correct answer:

Melanie

Explanation:

Since this reasoning is valid regardless of the actual scores, suppose Quinn scored 100. Then Ned scored 19 more than Quinn, or 119, and Melanie scored 12 more than Ned, or 131. Phyllis scored 45 more than Ned, or 164, and Olivia scored 20 points fewer than Phyllis, or 144. This makes the order, from greatest to least:

Phyllis, Olivia, Melanie, Ned, Quinn

Melanie scored third among the five.

Example Question #2 : How To Add

Which of the following angles is supplementary to an angle that is 45 degrees?

Possible Answers:

\displaystyle 180

\displaystyle 145

\displaystyle 45

\displaystyle 135

Correct answer:

\displaystyle 135

Explanation:

Supplementary angles add up to 180 degrees. Given that \displaystyle 45+135=180, the correct answer is 135. 

Example Question #21 : Number Concepts And Operations

  \displaystyle Solve: 7+(3-9)^{2}+36\div 4

Possible Answers:

\displaystyle \frac{49}{4}

\displaystyle \frac{79}{4}

\displaystyle 52

\displaystyle -52

\displaystyle \frac{7}{4}

Correct answer:

\displaystyle 52

Explanation:

Use order of operations, so you would first complete the operation in the parentheses, which would give you \displaystyle -6.

Then you do exponenets, so \displaystyle \left ( -6\right)^{2} = 36.

Then you do division which is \displaystyle 36\div4 = 9.

Then you do addition from left to right, so \displaystyle 7+36 = 43.

Last, you add \displaystyle 43 to \displaystyle 9, which is \displaystyle 52.

Example Question #6 : Basic Addition, Subtraction, Multiplication And Division

Simplify:  \displaystyle a+2a+3+9a+6

Possible Answers:

\displaystyle 12a+9

\displaystyle 20+a

\displaystyle 21a

\displaystyle 11a+9

\displaystyle 3a+18

Correct answer:

\displaystyle 12a+9

Explanation:

To simplify this expression, regroup and combine like-terms.

\displaystyle a+2a+3+9a+6= (a+2a+9a)+(3+6)

\displaystyle (a+2a+9a)+(3+6)= 12a+9

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