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ACT Math : Arithmetic

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Example Questions

Example Question #143 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

What is 3.2-0.2 ?

Possible Answers:

1.2

2.0

3.4

1.0

3.0

Correct answer:

3.0

Explanation:

0.2 removed from 3.2 results in the whole integer 3.0 .

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Example Question #1 : How To Subtract Decimals

Subtract: 1-0.009

Possible Answers:

0.0991

0.0091

0.991

0.91

0.9991

Correct answer:

0.991

Explanation:

Rewrite 1-0.009 adding the correct number of placeholders and evaluate.

1.000-0.009=0.991

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Example Question #13 : Other Decimals

Gradechart

If Exam 1 is worth 25% of the total grade, Exam 2 is worth 25% and Exam 3 is worth 50%, what is Dave’s final grade?

Possible Answers:

85.75

83.5

Correct answer:

Explanation:

Final Grade = Exam1 * 0.25 + Exam 2 * 0.25 + Exam3 * 0.50 =

96*0.25 + 70*0.25 + 85*0.5 =

24 + 17.5 + 42.5 = 84

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Example Question #1 : How To Multiply Decimals

A chemistry students needs to dilute some acid. How much water should be added to 2 L of 80% acid solution to yield 50% acid solution?

Possible Answers:

2.0 L

1.5 L

1.2 L

1.0 L

0.8 L

Correct answer:

1.2 L

Explanation:

Pure water would be 0% solution and pure solution would be 100%

V₁P₁ + V₂P₂ = V_fP_f

Let x = amount of water to add

x(0) + 2(0.80) = (x + 2)(0.50) which when solved gives x = 1.2 L

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Example Question #7 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Kevin is looking at the blueprint of the house he is building. The scale is 1 inch = 5 feet. On paper, the master bedroom is 2.5 inches by 3 inches. What is the actual size of the bedroom?

Possible Answers:

15 ft x 25 ft

10 ft x 10 ft

7.5 ft x 9 ft

12.5 ft x 15 ft

20 ft x 30 ft

Correct answer:

12.5 ft x 15 ft

Explanation:

The given dimensions must be multiplied by 5, so 2.5 inches becomes 12.5 feet, and 3 inches becomes 15 feet.

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Example Question #301 : Arithmetic

If $2.54 \; cm = 1 \; in$ , approximately how many inches are in one meter?

Possible Answers:

$80\; in$

$60 \; in$

$20 \; in$

$100 \; in$

$40 \; in\;$

Correct answer:

$40 \; in\;$

Explanation:

$2.54 \; cm = 1 \; in$ and $100\ cm=1\ m$

Using the factor-label method we get the following equation.

$\frac{1\; meter}{1}*\frac{100 \; cm}{1 \; m}*\frac{1 \; in}{2.5\; cm} = 40 \; in$

We treat the units as if they are numbers, and can cancel the units from the fractions.

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Example Question #8 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

A car has gas mileage of 46 miles per gallon. Assume that gas costs $3.90 per gallon. What would be the total cost of gas if the car traveled 1,150 miles?

Possible Answers:

$100.00

$179.40

$97.50

$125.70

$115.60

Correct answer:

$97.50

Explanation:

First find out how many gallons of gas the car consumed while traveling 1150 miles. This can be found out like so:

1150 miles x ^gallons/_{46 miles}= 25 gallons

Multiplying 25 by $3.90 yields $97.50.

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Example Question #15 : Other Decimals

Evaluate

$0.5\ast0.05\ast1.5$

Possible Answers:

3.75

0.375

0.025

0.00375

0.0375

Correct answer:

0.0375

Explanation:

First, $0.5\ast0.05=0.025$

Then, $0.025\ast1.5=0.0375$

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Example Question #12 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

You bought a dozen eggs marked at $\$2.29$ and received $\$2.55$ change from $\$5.00$ . What is the percent of sales tax?

Possible Answers:

$8\%$

$5\%$

$6\%$

$7\%$

Correct answer:

$7\%$

Explanation:

Set the equation up as

(x)($2.29)= $2.45

Solve for , which equals $\frac{2.45}{2.29}$

x=1.0698

Therefore the percent sales tax is:

$(1.0698-1) \times 100=6.98\% \approx 7\%$

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Example Question #1 : How To Divide Decimals

What is $0.625\div0.25$ ?

Possible Answers:

2.5

0.0025

0.025

0.25

Correct answer:

2.5

Explanation:

0.625 is equal to $\frac{625}{1000}$ , while .25 is equal to $\frac{25}{100}$ . Dividing by fractions is the same as multiplying by the reciprocal of the divisor. Thus, $\frac{625}{1000}$ $\times \frac{100}{25}$ which equals $\frac{25}{10}$ , which simplifies to 2.5.

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ACT Math : Arithmetic

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #143 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Example Question #1 : How To Subtract Decimals

Example Question #13 : Other Decimals

Example Question #1 : How To Multiply Decimals

Example Question #7 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Example Question #301 : Arithmetic

Example Question #8 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Example Question #15 : Other Decimals

Example Question #12 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Example Question #1 : How To Divide Decimals

All ACT Math Resources

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