Arithmetic - PSAT Math
Card 1 of 4032
A sequence of numbers is as follows:
What is the sum of the first seven numbers in the sequence?
A sequence of numbers is as follows:
What is the sum of the first seven numbers in the sequence?
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The pattern of the sequence is (x+1) * 2.
We have the first 5 terms, so we need terms 6 and 7:
(78+1) * 2 = 158
(158+1) * 2 = 318
3 + 8 + 18 +38 + 78 + 158 + 318 = 621
The pattern of the sequence is (x+1) * 2.
We have the first 5 terms, so we need terms 6 and 7:
(78+1) * 2 = 158
(158+1) * 2 = 318
3 + 8 + 18 +38 + 78 + 158 + 318 = 621
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What is the next number in the following series: 0, 3, 8, 15, 24 . . . ?
What is the next number in the following series: 0, 3, 8, 15, 24 . . . ?
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The series is defined by n2 – 1 starting at n = 1. The sixth number in the series then equal to 62 – 1 = 35.
The series is defined by n2 – 1 starting at n = 1. The sixth number in the series then equal to 62 – 1 = 35.
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The Widget Company has annual revenues of $150,000. Their expenses over the same time frame was $75,000. What was the percent profit?
The Widget Company has annual revenues of $150,000. Their expenses over the same time frame was $75,000. What was the percent profit?
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Profit = Revenue – Expense
% Profit = $ Profit ÷ $ Total Revenue
% Profit = ($150,000 – $75,000) ÷ $150,000 = 50%
Profit = Revenue – Expense
% Profit = $ Profit ÷ $ Total Revenue
% Profit = ($150,000 – $75,000) ÷ $150,000 = 50%
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1 meter contains 100 centimeters.
Find the ratio of 1 meter and 40 centimeters to 1 meter:
1 meter contains 100 centimeters.
Find the ratio of 1 meter and 40 centimeters to 1 meter:
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1m 40cm = 140cm. 1m = 100cm. So the ratio is 140cm:100cm. This can be put as a fraction 140/100 and then reduced to 14/10 and further to 7/5. This, in turn, can be rewritten as a ratio as 7:5.
1m 40cm = 140cm. 1m = 100cm. So the ratio is 140cm:100cm. This can be put as a fraction 140/100 and then reduced to 14/10 and further to 7/5. This, in turn, can be rewritten as a ratio as 7:5.
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When television remotes are shipped from a certain factory, 1 out of every 200 is defective. What is the ratio of defective to nondefective remotes?
When television remotes are shipped from a certain factory, 1 out of every 200 is defective. What is the ratio of defective to nondefective remotes?
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One remote is defective for every 199 non-defective remotes.
One remote is defective for every 199 non-defective remotes.
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If the ratio of q to r is 3:5 and the ratio of r to s is 10:7, what is the ratio of q to s?
If the ratio of q to r is 3:5 and the ratio of r to s is 10:7, what is the ratio of q to s?
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Multiply the ratios. (q/r)(r/s)= q/s. (3/5) * (10/7)= 6:7.
Multiply the ratios. (q/r)(r/s)= q/s. (3/5) * (10/7)= 6:7.
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The first term in a sequence is m. If every term thereafter is 5 greater than 1/10 of the preceding term, and m≠0, what is the ratio of the second term to the first term?
The first term in a sequence is m. If every term thereafter is 5 greater than 1/10 of the preceding term, and m≠0, what is the ratio of the second term to the first term?
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The first term is m, so the second term is m/10+5 or (m+50)/10. When we take the ratio of the second term to the first term, we get (((m+50)/10))/m, which is ((m+50)/10)(1/m), or (m+50)/10m.
The first term is m, so the second term is m/10+5 or (m+50)/10. When we take the ratio of the second term to the first term, we get (((m+50)/10))/m, which is ((m+50)/10)(1/m), or (m+50)/10m.
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Two cars were traveling 630 miles. Car A traveled an average speed of 70 miles per hour. If car B traveled 90 miles an hour, how many miles had car A traveled when car B arrived at the destination?
Two cars were traveling 630 miles. Car A traveled an average speed of 70 miles per hour. If car B traveled 90 miles an hour, how many miles had car A traveled when car B arrived at the destination?
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We first divide 630 miles by 90 miles per hour to get the amount of time it took car B to reach the destination, giving us 7 hours. We then multiply 7 hours by car A’s average speed and we get 490 miles.
We first divide 630 miles by 90 miles per hour to get the amount of time it took car B to reach the destination, giving us 7 hours. We then multiply 7 hours by car A’s average speed and we get 490 miles.
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STUDENT ATHLETES WHO USE STEROIDS MEN WOMEN TOTAL BASKETBALL A B C SOCCER D E F TOTAL G H I
In the table above, each letter represents the number of students in each category. Which of the following must be equal to I?
| STUDENT ATHLETES WHO USE STEROIDS | |||
|---|---|---|---|
| MEN | WOMEN | TOTAL | |
| BASKETBALL | A | B | C |
| SOCCER | D | E | F |
| TOTAL | G | H | I |
In the table above, each letter represents the number of students in each category. Which of the following must be equal to I?
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Since G is the total number of male athletes that use steroids and H is the total number of female athletes that use steroids, the sum of the two is equal to I, which is the total number of all students using steroids.
Since G is the total number of male athletes that use steroids and H is the total number of female athletes that use steroids, the sum of the two is equal to I, which is the total number of all students using steroids.
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How many 
are in 
How many
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To solve this problem we can make proportions.
We know that 
and we can use 
as our unknown.
Next, we want to cross multiply and divide to isolate the on one side.
The 
will cancel and we are left with 
To solve this problem we can make proportions.
We know that
Next, we want to cross multiply and divide to isolate the on one side.
The
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How many 
are in 
How many
Tap to reveal answer
To solve this problem we can make proportions.
We know that 
and we can use 
as our unknown.
Next, we want to cross multiply and divide to isolate the on one side.
The 
will cancel and we are left with 
To solve this problem we can make proportions.
We know that
Next, we want to cross multiply and divide to isolate the on one side.
The
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A carpenter is making a model house and he buys 
of crown molding to use as accent pieces. He needs 
of the molding for the house. How many feet of the material does he need to finish the model?
A carpenter is making a model house and he buys
Tap to reveal answer
We can solve this problem using ratios. There are 
in 
. We can write this relationship as the following ratio:
We know that the carpenter needs 
of material to finish the house. We can write this as a ratio using the variable 
to substitute the amount of feet.
Now, we can solve for 
by creating a proportion using our two ratios.
Cross multiply and solve for 
.
Simplify.
Divide both sides by 
.
Solve.
The carpenter needs 
of material.
We can solve this problem using ratios. There are
We know that the carpenter needs
Now, we can solve for
Cross multiply and solve for
Simplify.
Divide both sides by
Solve.
The carpenter needs
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A carpenter is making a model house and he buys 
of crown moulding to use as accent pieces. He needs 
of the moulding for the house. How many feet of the material does he need to finish the model?
A carpenter is making a model house and he buys
Tap to reveal answer
We can solve this problem using ratios. There are 
in 
. We can write this relationship as the following ratio:
We know that the carpenter needs 
of material to finish the house. We can write this as a ratio using the variable 
to substitute the amount of feet.
Now, we can solve for 
by creating a proportion using our two ratios.
Cross multiply and solve for 
.
Simplify.
Divide both sides by 
.
Solve.
Reduce.
The carpenter needs 
of material.
We can solve this problem using ratios. There are
We know that the carpenter needs
Now, we can solve for
Cross multiply and solve for
Simplify.
Divide both sides by
Solve.
Reduce.
The carpenter needs
← Didn't Know|Knew It →
A carpenter is making a model house and he buys 
of crown moulding to use as accent pieces. He needs 
of the moulding for the house. How many feet of the material does he need to finish the model?
A carpenter is making a model house and he buys
Tap to reveal answer
We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:
We know that the carpenter needs 
of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
The carpenter needs 
of material.
We can solve this problem using ratios. There are
We know that the carpenter needs
Now, we can solve for
Cross multiply and solve for
Simplify.
Divide both sides by
Solve.
The carpenter needs
← Didn't Know|Knew It →
A carpenter is making a model house and he buys 
of crown moulding to use as accent pieces. He needs 
of the moulding for the house. How many feet of the material does he need to finish the model?
A carpenter is making a model house and he buys
Tap to reveal answer
We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:
We know that the carpenter needs 
of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
Reduce.
The carpenter needs 
of material.
We can solve this problem using ratios. There are
We know that the carpenter needs
Now, we can solve for
Cross multiply and solve for
Simplify.
Divide both sides by
Solve.
Reduce.
The carpenter needs
← Didn't Know|Knew It →
A carpenter is making a model house and he buys 
of crown moulding to use as accent pieces. He needs 
of the moulding for the house. How many feet of the material does he need to finish the model?
A carpenter is making a model house and he buys
Tap to reveal answer
We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:
We know that the carpenter needs 
of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
Reduce.
The carpenter needs 
of material.
We can solve this problem using ratios. There are
We know that the carpenter needs
Now, we can solve for
Cross multiply and solve for
Simplify.
Divide both sides by
Solve.
Reduce.
The carpenter needs
← Didn't Know|Knew It →
A carpenter is making a model house and he buys 
of crown moulding to use as accent pieces. He needs 
of the moulding for the house. How many feet of the material does he need to finish the model?
A carpenter is making a model house and he buys
Tap to reveal answer
We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:
We know that the carpenter needs 
of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
The carpenter needs 
of material.
We can solve this problem using ratios. There are
We know that the carpenter needs
Now, we can solve for
Cross multiply and solve for
Simplify.
Divide both sides by
Solve.
The carpenter needs
← Didn't Know|Knew It →
A carpenter is making a model house and he buys 
of crown moulding to use as accent pieces. He needs 
of the moulding for the house. How many feet of the material does he need to finish the model?
A carpenter is making a model house and he buys
Tap to reveal answer
We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:
We know that the carpenter needs 
of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
Reduce.
The carpenter needs 
of material.
We can solve this problem using ratios. There are
We know that the carpenter needs
Now, we can solve for
Cross multiply and solve for
Simplify.
Divide both sides by
Solve.
Reduce.
The carpenter needs
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Nicki sold 20 albums at $5 each. How many albums should Minaj sell at $4.50 to earn more than Nicki?
Nicki sold 20 albums at $5 each. How many albums should Minaj sell at $4.50 to earn more than Nicki?
Tap to reveal answer
The answer is 23. 23*$4.50 = $103.50, which is more than what Nicki earned.
The answer is 23. 23*$4.50 = $103.50, which is more than what Nicki earned.
← Didn't Know|Knew It →
A carpenter is making a model house and he buys 
of crown moulding to use as accent pieces. He needs 
of the moulding for the house. How many feet of the material does he need to finish the model?
A carpenter is making a model house and he buys
Tap to reveal answer
We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:
We know that the carpenter needs 
of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
Reduce.
The carpenter needs 
of material.
We can solve this problem using ratios. There are
We know that the carpenter needs
Now, we can solve for
Cross multiply and solve for
Simplify.
Divide both sides by
Solve.
Reduce.
The carpenter needs
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