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SSAT Elementary Level Math : Operations

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

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All SSAT Elementary Level Math Resources

12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #6 : Understanding The Associative Property

Which is an example of the associative property?

Possible Answers:

$\displaystyle 6+(3+2)=11$ and $\displaystyle (6+3) + 2 = 11$

$\displaystyle 6+3+2=11$ and 6+6=11 $\displaystyle 6+6=11$

6+5=11 $\displaystyle 6+5=11$ and 6=11-5 $\displaystyle 6=11-5$

6+3=9 $\displaystyle 6+3=9$ and 3+6=9 $\displaystyle 3+6=9$

Correct answer:

$\displaystyle 6+(3+2)=11$ and $\displaystyle (6+3) + 2 = 11$

Explanation:

The associative property says that, when you are only adding or only multiplying, the way you group the items in a series does not matter. Given 6 + 3 + 2 = 11, whether you group (6 + 3) + 2 or 6 + (3 + 2), the outcome does not change as the order in which you sum the numbers does not matter.

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Example Question #1 : How To Multiply

$\dpi{100} 12\times 3=$ $\displaystyle \dpi{100} 12\times 3=$

Possible Answers:

$\dpi{100} 36$ $\displaystyle \dpi{100} 36$

$\dpi{100} 16$ $\displaystyle \dpi{100} 16$

$\dpi{100} 15$ $\displaystyle \dpi{100} 15$

$\dpi{100} 9$ $\displaystyle \dpi{100} 9$

Correct answer:

$\dpi{100} 36$ $\displaystyle \dpi{100} 36$

Explanation:

Write 12 down. Then write the 3 below the 2 in 12.

Multiply the bottom number with the top numbers, starting on the right:

$\dpi{100} 3\times 2=6$ $\displaystyle \dpi{100} 3\times 2=6$

$\dpi{100} 3\times 1=3$ $\displaystyle \dpi{100} 3\times 1=3$

The answer is 36.

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Example Question #2 : How To Multiply

Fill in the blank to make a true statement:

$8 + 4\times6 =$ $\displaystyle 8 + 4\times6 =$ ______________

Possible Answers:

$\displaystyle 72$

$\displaystyle 18$

$\displaystyle 80$

$\displaystyle 52$

$\displaystyle 32$

Correct answer:

$\displaystyle 32$

Explanation:

By the order of operations, multiplication comes before addition.

$8 + 4\times6 = 8 + 24 = 32$ $\displaystyle 8 + 4\times6 = 8 + 24 = 32$

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Example Question #3 : How To Multiply

Find the product of 14 and 3.

Possible Answers:

$\displaystyle 42$

$\displaystyle 36$

$\displaystyle 28$

$\displaystyle 45$

$\displaystyle 39$

Correct answer:

$\displaystyle 42$

Explanation:

To find the product, we need to multiply.

$14\times3=42$ $\displaystyle 14\times3=42$

Another way to solve is to add up three groups of 14.

$\displaystyle 14+14+14=42$

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Example Question #4 : How To Multiply

Sally ate three sandwiches each day from Monday to Friday. How many sandwiches did she eat in all?

Possible Answers:

$\displaystyle 20$

$\displaystyle 15$

$\displaystyle 12$

$\displaystyle 9$

$\displaystyle 16$

Correct answer:

$\displaystyle 15$

Explanation:

Every day Sally eats 3 sandwiches, so we will multiply 3 by the number of days.

Monday, Tuesday, Wednesday, Thursday, Friday is five days.

3*5=15 $\displaystyle 3*5=15$

Another way to solve is to add the number of sandwiches each day for five days.

$\displaystyle 3+3+3+3+3=15$

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Example Question #4 : How To Multiply

Find the missing number in the series.

$1,\ 4,\ 9,\ 16,\ ?,\ 36$ $\displaystyle 1,\ 4,\ 9,\ 16,\ ?,\ 36$

Possible Answers:

$\displaystyle 29$

$\displaystyle 30$

$\displaystyle 25$

$\displaystyle 35$

$\displaystyle 21$

Correct answer:

$\displaystyle 25$

Explanation:

The series is increasing, and shows the sequence of of perfect squares. Each term is equal to a number times itself.

$1\times 1=1$ $\displaystyle 1\times 1=1$

$2\times 2=4$ $\displaystyle 2\times 2=4$

$3\times 3=9$ $\displaystyle 3\times 3=9$

$4\times 4=16$ $\displaystyle 4\times 4=16$

This missing number will be equal to five times five.

$5\times 5=25$ $\displaystyle 5\times 5=25$

$1,\ 4,\ 9,\ 16,\ 25,\ 36$ $\displaystyle 1,\ 4,\ 9,\ 16,\ 25,\ 36$

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Example Question #4 : How To Multiply

If Greg eats 4 apples a day, how many apples will he have eaten in one week (7 days)?

Possible Answers:

$16\ apples$ $\displaystyle 16\ apples$

$32\ apples$ $\displaystyle 32\ apples$

$11\ apples$ $\displaystyle 11\ apples$

$3\ apples$ $\displaystyle 3\ apples$

$28\ apples$ $\displaystyle 28\ apples$

Correct answer:

$28\ apples$ $\displaystyle 28\ apples$

Explanation:

You multiply the number of apples he eats a day by the number of days. So it is

$7\cdot 4=28$ $\displaystyle 7\cdot 4=28$ apples.

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Example Question #5 : How To Multiply

$23\times17 =$ $\displaystyle 23\times17 =$

Possible Answers:

391 $\displaystyle 391$

381 $\displaystyle 381$

441 $\displaystyle 441$

321 $\displaystyle 321$

274 $\displaystyle 274$

Correct answer:

391 $\displaystyle 391$

Explanation:

When you multiply the two values, you get 391.

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Example Question #6 : How To Multiply

If Carol has to drive 60mph for 4 hours to reach her friend's house, how far is her friend's house?

Possible Answers:

$280\ miles$ $\displaystyle 280\ miles$

$64\ miles$ $\displaystyle 64\ miles$

$240\ miles$ $\displaystyle 240\ miles$

$320\ miles$ $\displaystyle 320\ miles$

$120\ miles$ $\displaystyle 120\ miles$

Correct answer:

$240\ miles$ $\displaystyle 240\ miles$

Explanation:

$Distance=rate\times time$ $\displaystyle Distance=rate\times time$

$60\ mph\times 4\ hours=240\ miles$ $\displaystyle 60\ mph\times 4\ hours=240\ miles$

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Example Question #8 : How To Multiply

$\displaystyle x = -0.5$

place the following in order from greatest to least:

$x, x^{2}, x^{3}, x^{4}$ $\displaystyle x, x^{2}, x^{3}, x^{4}$

Possible Answers:

$x^{2}, x^{4}, x^{3}, x$ $\displaystyle x^{2}, x^{4}, x^{3}, x$

$x, x^{2}, x^{3}, x^{4}$ $\displaystyle x, x^{2}, x^{3}, x^{4}$

$x^{2}, x^{4}, x, x^{3}$ $\displaystyle x^{2}, x^{4}, x, x^{3}$

$x, x^{2}, x^{4}, x^{3}$ $\displaystyle x, x^{2}, x^{4}, x^{3}$

$x^{4}, x^{2}, x, x^{3}$ $\displaystyle x^{4}, x^{2}, x, x^{3}$

Correct answer:

$x^{2}, x^{4}, x^{3}, x$ $\displaystyle x^{2}, x^{4}, x^{3}, x$

Explanation:

$\displaystyle x$ is negative, so $\displaystyle x$ will be smaller than $x^{2}$ $\displaystyle x^{2}$ and $x^{4}$ $\displaystyle x^{4}$ .

$\displaystyle x$ is a decimal, so it will have greater magnitude than $x^{3}$ $\displaystyle x^{3}$ (which will make it smaller, since they are both negative).

$\displaystyle x$ is a decimal so $x^{2}$ $\displaystyle x^{2}$ will have greater magnitude than $x^{4}$ $\displaystyle x^{4}$ (which will make it greater, since they are both positive).

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All SSAT Elementary Level Math Resources

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SSAT Elementary Level Math : Operations

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

All SSAT Elementary Level Math Resources

Example Questions

Example Question #6 : Understanding The Associative Property

Example Question #1 : How To Multiply

Example Question #2 : How To Multiply

Example Question #3 : How To Multiply

Example Question #4 : How To Multiply

Example Question #4 : How To Multiply

Example Question #4 : How To Multiply

Example Question #5 : How To Multiply

Example Question #6 : How To Multiply

Example Question #8 : How To Multiply

All SSAT Elementary Level Math Resources

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