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SAT II Math II : Mathematical Relationships

Study concepts, example questions & explanations for SAT II Math II

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All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Mathematical Relationships

Add the following numbers: 137+189+774

Possible Answers:

1290

1180

1100

1190

1200

Correct answer:

1100

Explanation:

Add the ones digits.

7+9+4 = 20

Add the tens digits with the two as the carryover.

3+8+7+(2) = 20

Add the hundreds digits with the two as the carryover.

1+1+7+(2) = 11

Combine this number with the ones digits of the previous calculations.

The answer is: 1100

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Example Question #1 : Mathematical Relationships

Add the numbers: 256+781+64

Possible Answers:

1101

1011

1901

1111

901

Correct answer:

1101

Explanation:

Add the ones digits.

6+1+4 = 11

Carry the one, and add the tens digits.

5+8+6+(1) = 20

Carry the two, and add the hundreds digits.

2+7+0+(2) = 11

Combine this number with the ones digit of the other numbers.

The answer is: 1101

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Example Question #3 : Mathematical Relationships

Add the numbers: 34+497+89

Possible Answers:

550

520

510

650

620

Correct answer:

620

Explanation:

Add the ones digits.

4+7+9 = 20

Carry the two, and add the tens digits.

3+9+8+(2) = 22

Carry the two, and add the hundreds places.

0+4+0+(2) = 6

Combine all ones digits.

The answer is: 620

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Example Question #3 : Mathematical Relationships

Add the numbers: 64+67+88

Possible Answers:

129

229

209

109

219

Correct answer:

219

Explanation:

Add the ones digits.

4+7+8=19

Add the tens digits using the one as the carryover.

6+6+8 +(1)= 21

Combine this number with the ones digit of the first number solved.

The answer is: 219

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Example Question #1 : Mathematical Relationships

Add the numbers: 84+86+36

Possible Answers:

216

194

294

196

206

Correct answer:

206

Explanation:

Add the ones digits.

4+6+6 = 16

Carry the one and add the tens digits.

8+8+3+(1) = 20

Combine this number with the ones digit of the first number.

The answer is: 206

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Example Question #1 : Mathematical Relationships

Add the following numbers: 23+64+97

Possible Answers:

274

284

164

184

174

Correct answer:

184

Explanation:

Add the ones digits.

3+4+7= 14

Carry the one and add the tens digits.

2+6+9+(1) = 18

Combine this number with the ones digit of the first number.

The answer is: 184

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Example Question #1 : Mathematical Relationships

Add the numbers: 35+36+88

Possible Answers:

149

259

159

249

139

Correct answer:

159

Explanation:

Add the ones digits.

5+6+8 = 19

Add the tens digits with the one as the carryover.

3+3+8+(1)=15

The answer is: 159

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Example Question #2 : Mathematical Relationships

Add the numbers: 34+64+87

Possible Answers:

195

175

185

165

205

Correct answer:

185

Explanation:

Add the ones digits.

4+4+7= 15

Add the tens digit with the carryover.

3+6+8+(1) = 18

The answer is: 185

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Example Question #1 : Mathematical Relationships

Solve for :

$5^{x} = 432$

Give the solution to the nearest hundredth.

Possible Answers:

$x\approx 3.37$

$x \approx 3.77$

$x \approx 1.94$

$x \approx 2.44$

$x \approx 2.86$

Correct answer:

$x \approx 3.77$

Explanation:

One way is to take the common logarithm of both sides and solve:

$5^{x} = 432$

$\log \left (5^{x} \right )= \log 432$

$x \log 5= \log 432$

$x = \frac{\log 432}{\log 5} \approx \frac{2.6355}{0.6990} \approx 3.77$

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Example Question #3 : Mathematical Relationships

Solve for :

$\left (e+1 \right ) ^{k} = 100$

Give your answer to the nearest hundredth.

Possible Answers:

$k \approx 1.43$

$k \approx 1.69$

$k \approx 1.89$

$k \approx 3.51$ '

$k \approx 3.61$

Correct answer:

$k \approx 3.51$ '

Explanation:

Take the common logarithm of both sides and solve for :

$\left (e+1 \right ) ^{k} = 100$

$\log \left (e+1 \right ) ^{k} = \log 100$

$k \log \left (e+1 \right ) = 2$

$k= \frac{2}{ \log \left (e+1 \right ) }$

$k= \frac{2}{ \log \left (2.7183+1 \right ) } \approx \frac{2}{ \log 3.7183 } \approx \frac{2}{1.3133} \approx 3.51$

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All SAT II Math II Resources

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SAT II Math II : Mathematical Relationships

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #1 : Mathematical Relationships

Example Question #1 : Mathematical Relationships

Example Question #3 : Mathematical Relationships

Example Question #3 : Mathematical Relationships

Example Question #1 : Mathematical Relationships

Example Question #1 : Mathematical Relationships

Example Question #1 : Mathematical Relationships

Example Question #2 : Mathematical Relationships

Example Question #1 : Mathematical Relationships

Example Question #3 : Mathematical Relationships

All SAT II Math II Resources

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