FTCE General Knowledge Mathematics practice test 1
questions with complete solutions
The length of a deck is 5 less than twice the width with a perimeter of 62 feet. What is the width of the deck rounded to the nearest tenth? A. 12.0
B. 12.3
C. 12.8
D. 13.1 correct answer: A. 12.0 This question is asking you to find the perimeter. Perimeter is the result of ADDING all the sides
of the shape. In this case, we have a rectangular deck. The length is 5 less than twice the width, which is written 2w-5. And the width is just w. When you add up all the sides, you get; 2w-5 + 2w-5 + w +w=62 6w - 10 =62
Solve the equation by adding 10 to each side: 6w -10 =62 6w = 72 Divide each side by 6: w = 12
Left and right side of the rectangle- w
Top and bottom of the rectangle- 2w-5
A car salesperson makes 30% commission from all sales during the month. His base pay is $240 per month plus what he makes on sales commission. Which of the following inequalities represents his pay at the end of the month so that he makes no less than $640? A. .3x + 240 < 640 B. .3x + 240 > 640 C. .3x + 240 <_ 640 D. .3x + 240 >_ 640 correct answer: D. .3x + 240 >_ 640 In this equation, you are being asked to write an equation, not solve an equation. Pay attention to the very last line in the question, "..... he make NO LESS THAN $640?" Immediately eliminate any answer choice with a less than sign (<), so A and C are out. Then look at the greater than (>) signs in your answer choices. If he makes NO LESS than $640, that means he can make exactly $640 and he can make more than $640. So, the correct choice should be greater than or equal to (>_), and that makes D the correct choice.
Of the following, which number is greatest? -12, - 10, -21/2, -Square root 145
A. -12 B. -10 C. -21/2
D. - square root 145 correct answer: D. - square root 145
Pay attention to the negative numbers here. -10 is greater than any of the other numbers: -12, -
21/10 = -10.5, - square root 145 = -12.04
Put the following in order from least to greatest. 30%, 3/4, 1/3, .8 A. 1/3, 3/4, .8, 30% B. 1/3, .8, 3/4, 30% C. 30%, 1/3, .8, 3/4 D. 30%, 1/3, 3/4, .8 correct answer: D. 30%, 1/3, 3/4, .8 To put these numbers in order, convert them to decimals: 30% becomes .30, 3/4 becomes .75, 1/3 becomes .33 repeating, and .8 becomes .80 (same .8). The order should be .30 (30%), .33 (1/3), .75 (3/4), .80 (.8).
My husband was your cell phone plan were each responsible for half the bill. The monthly base charge for service is $82. On top of the base charge, their dirty chargers, which each person is responsible for individually. At the end of the month, the total bill comes to $120. If the husband is responsible for 60% of the data charges, how much does he owe for the month?
A. $41.00
B. $38.00
C. $63.80
D. $79.80 correct answer: C. $63.80
Each person responsible for half the base charge of $82. Therefore, the husband pays $41 of the base charge. He also pays 60% of the data charges. To find the data charges, subtract the beach charge from the whole bill $120 -$82 = $38.00. Doesn't pay 60% of $38, which is $22.80. Add $22.80 (his data) to the $41 for the base. The total is $63.80
Mrs. Kramer, a first grade teacher, keeps a treasure box full of treats for students who answers the daily trivia question correctly. Today, Mindy answered correctly, so she gets to choose from the box, which was filled 3 mints and 4 cookies. What is the probability she picks mint? A. 1/7
B. 4/7 C. 3/4 D. 3/7 correct answer: D. 3/7 Use fractions for probability. Put the selected over the total. Because there are 3 mints out of 7 items in the treasure chest, the fraction is 3/7
On a trip from Naples to Tallahassee, a car travels a total of 500 miles at a rate of 55 mph. If the car gets 22 miles per gallon, how many gallons of gas will be consumed in 5 hours? A. 7.0 gallons
questions with complete solutions
The length of a deck is 5 less than twice the width with a perimeter of 62 feet. What is the width of the deck rounded to the nearest tenth? A. 12.0
B. 12.3
C. 12.8
D. 13.1 correct answer: A. 12.0 This question is asking you to find the perimeter. Perimeter is the result of ADDING all the sides
of the shape. In this case, we have a rectangular deck. The length is 5 less than twice the width, which is written 2w-5. And the width is just w. When you add up all the sides, you get; 2w-5 + 2w-5 + w +w=62 6w - 10 =62
Solve the equation by adding 10 to each side: 6w -10 =62 6w = 72 Divide each side by 6: w = 12
Left and right side of the rectangle- w
Top and bottom of the rectangle- 2w-5
A car salesperson makes 30% commission from all sales during the month. His base pay is $240 per month plus what he makes on sales commission. Which of the following inequalities represents his pay at the end of the month so that he makes no less than $640? A. .3x + 240 < 640 B. .3x + 240 > 640 C. .3x + 240 <_ 640 D. .3x + 240 >_ 640 correct answer: D. .3x + 240 >_ 640 In this equation, you are being asked to write an equation, not solve an equation. Pay attention to the very last line in the question, "..... he make NO LESS THAN $640?" Immediately eliminate any answer choice with a less than sign (<), so A and C are out. Then look at the greater than (>) signs in your answer choices. If he makes NO LESS than $640, that means he can make exactly $640 and he can make more than $640. So, the correct choice should be greater than or equal to (>_), and that makes D the correct choice.
Of the following, which number is greatest? -12, - 10, -21/2, -Square root 145
A. -12 B. -10 C. -21/2
D. - square root 145 correct answer: D. - square root 145
Pay attention to the negative numbers here. -10 is greater than any of the other numbers: -12, -
21/10 = -10.5, - square root 145 = -12.04
Put the following in order from least to greatest. 30%, 3/4, 1/3, .8 A. 1/3, 3/4, .8, 30% B. 1/3, .8, 3/4, 30% C. 30%, 1/3, .8, 3/4 D. 30%, 1/3, 3/4, .8 correct answer: D. 30%, 1/3, 3/4, .8 To put these numbers in order, convert them to decimals: 30% becomes .30, 3/4 becomes .75, 1/3 becomes .33 repeating, and .8 becomes .80 (same .8). The order should be .30 (30%), .33 (1/3), .75 (3/4), .80 (.8).
My husband was your cell phone plan were each responsible for half the bill. The monthly base charge for service is $82. On top of the base charge, their dirty chargers, which each person is responsible for individually. At the end of the month, the total bill comes to $120. If the husband is responsible for 60% of the data charges, how much does he owe for the month?
A. $41.00
B. $38.00
C. $63.80
D. $79.80 correct answer: C. $63.80
Each person responsible for half the base charge of $82. Therefore, the husband pays $41 of the base charge. He also pays 60% of the data charges. To find the data charges, subtract the beach charge from the whole bill $120 -$82 = $38.00. Doesn't pay 60% of $38, which is $22.80. Add $22.80 (his data) to the $41 for the base. The total is $63.80
Mrs. Kramer, a first grade teacher, keeps a treasure box full of treats for students who answers the daily trivia question correctly. Today, Mindy answered correctly, so she gets to choose from the box, which was filled 3 mints and 4 cookies. What is the probability she picks mint? A. 1/7
B. 4/7 C. 3/4 D. 3/7 correct answer: D. 3/7 Use fractions for probability. Put the selected over the total. Because there are 3 mints out of 7 items in the treasure chest, the fraction is 3/7
On a trip from Naples to Tallahassee, a car travels a total of 500 miles at a rate of 55 mph. If the car gets 22 miles per gallon, how many gallons of gas will be consumed in 5 hours? A. 7.0 gallons
