ARITHMETIC
30 days 22 hours X 3
90 days 66 hours
3* (5 + 4) = 3 * 5 + 3 *4 This is an e x ample of _________________ property.
Associative
What is the positive value of x if X2 = 169?
13
Sofia's science class weighed 2 identical balls on a scale. The combined weight of the balls was 0.62 kilograms. What was the weight of each ball?
0.31
What is the probability of flipping a fair coin and getting heads?
1/2 or 0.5
A class recorded the number of minutes spent reading each day:
20, 25, 30, 20, 35, 40, 20, 30, 25, 35
Find the Mean
Mean:
280÷10=28
What is the least common multiple (LCM) of 4 and 6?
12
What is the square of 15?
225
What is the perimeter of a square with a side length of 6cm?
24cm
An apple juice factory produced 655.98 gallons of apple juice in 8 days. How much apple juice, on average, did the factory produce each day?
81.9975
What is the probability of rolling a 4 on a standard 6-sided die?
1/6
A class recorded the number of minutes spent reading each day:
20, 25, 30, 20, 35, 40, 20, 30, 25, 35
Find the median.
Median:
(25+30)÷2=27.5
What is the value of 34?
81
What is the area of a triangle with base 10 and height 6?
A=
1/2(10)(6)=30
In a century how many months are there?
1200
Which is greater?
0.606 or 0.66
What is 0.66?
If a card is drawn from a standard 52-card deck, what is the probability that it is an Ace?
1/13 or 4/52
A class recorded the number of minutes spent reading each day:
20, 25, 30, 20, 35, 40, 20, 30, 25, 35
Find the mode.
Mode is 20
Express 3/8 as a percentage.
37.5%
What is the remainder of 21 divided by 7?
A. 21
B. 7
C. 1
D. None of these
D. None of these
If David’s age is 27 years old in 2011. What was his age in 2003?
19 years
Joe's grandma is making him a costume for a play. She has 5.25 yards of flannel fabric and needs strips that are 0.75 yards long. How many strips can she cut out of her flannel fabric?
7 strips
In how many different orders can 4 people sit in a row of 4 chairs?
24
(4! = 4 x 3 x 2 x 1)
A class recorded the number of minutes spent reading each day:
20, 25, 30, 20, 35, 40, 20, 30, 25, 35
Find the range.
Range:
40−20=20
What is the value of 5! (5 factorial)?
120
Expand (x + 3)(x - 3).
x2 - 9
What is the sum of the interior angles of a regular hexagon?
720o
Alexa transports flowers for Rolling Rosie's Garden Center. On her last route, she earned $450.80. If Alexa earned $0.40 for every mile, how far did she drive?
1,127 miles
What continuous probability distribution follows a symmetric, bell-shaped curve characterized by its mean and standard deviation?
The Normal Distribution
Three consecutive integers have a sum of 99. What is the largest integer?
32+33+34=99
Largest integer = 34
What is the sum of the prime factors of 60?
10
(The prime factors are 2, 3, and 5, and 2 + 3 + 5 = 10)
Factor completely:
x2 - 5x + 6.
(x - 2)(x - 3)
A video game originally costs $80 and is on sale for 25% off.
What is the sale price?
Discount: 80(0.25)=20
Sale price: 80−20=60
Answer: $60
Find the circumference of a circle with diameter 10. Use π=3.14.
Answer:
C=3.14(10)=31.4
A coin is flipped three times. What is the probability of getting exactly two heads?
3/8
The mean of five numbers is 24.
Four of the numbers are 18, 30, 26, and 20.
What is the fifth number?
Total sum needed: 24×5=120
Missing number: 120−94=26
Answer: 26
A school sold tickets to a dance. Student tickets cost $4 and adult tickets cost $6. The school sold 150 tickets and collected $720. If 90 student tickets were sold, how many adult tickets were sold?
Student revenue: 90×4=360
Money left: 720−360=360
Adult tickets: 360÷6=60
Answer: 60 adult tickets
Evaluate:
6+ 4(32) - 8
Answer: 32=9
4(9)=36
6+36−8=34
Answer: 34
A rectangular playground is 24 meters long and 18 meters wide.
What is its area and perimeter?
Area: 24×18=432
Perimeter: 2(24+18)=84
Answer: Area = 432 m²
Perimeter = 84 m
Henry is building an in-ground pool at his house. He is doing most of the work himself to save money. To dig the pool, he rents a small backhoe for $95.50 a day. If his total bill comes to $286.50, for how many days does he rent the backhoe?
3 days
The mean of six numbers is 18. Five of the numbers are 12, 15, 20, 24, and 17. What is the sixth number?
What is 20
18×6=108
108−(12+15+20+24+17)=20
The mean, median, and mode of a data set are all the same number.
The data set is:
12, 15, 18, 18, 18, 21, 24
What are the mean, median, and mode?
What are 18, 18, and 18?
Mean = 18
Median = 18
Mode = 18
The _____________ property says that, changing the GROUPING of numbers that are either being added or multiplied does NOT change the value of it.
Associative
Solve for p.
2(p − 8) = 12
P = 14
45 qt 72 pt X 3
Convert pints to quarts.
135 qt 216 pt
Converts to 243 qt
(18*2)*3 = 18*(2*3) This is an e x ample of __________________ property.
Associative
The mean of five numbers is 12. Four of the numbers are 8, 10, 15, and 17. What is the fifth number?
What is 10?
The data set is:
14, 15, 18, 19, x, 24, 30
The median is 20.
What is x?
What is 20
A school's student council sold tickets for a fundraiser. They sold 125 tickets on Friday and 178 tickets on Saturday. If each ticket cost $4, how much money did they raise?
What is $1,212
125 + 178 = 303 tickets
303 × $4 = $1,212
A number is decreased by 12 and the result is three times the number minus 44. Find the number.
What is 16?
5* (11 + 2) = 5 * 11 + 5*2
This is an e x ample of __________________ property.
Distributive
A recipe calls for 0.75 cups of sugar. You make the recipe 3.5 times.
How much sugar is needed?
What is 2.625 cups?
0.75×3.5=2.625
A survey found that 60% of students play a sport. If 40 students were surveyed, how many students do not play a sport?
What is 16?
60% of 40 = 24
40 − 24 = 16
The mean of 8 numbers is 36. Seven of the numbers are: 25, 30, 34, 38, 40, 42, 47
What is the eighth number?
What is 32?
36×8=288
288−256=32
A charity walk raised $2,340 from registrations. Adult registrations cost $15 and student registrations cost $9. There were 200 total participants. If 90 participants were adults, how much money came from student registrations?
What is $990?
Students = 200 − 90 = 110
Student revenue = 110 × $9 = $990
A number is increased by 20%, then decreased by 20%. The final result is 96. What was the original number?
What is 100?
A number is multiplied by 1.25 to get 18.75.
What is the original number?
What is 15?
18.75÷1.25=15
A game uses a spinner divided into 12 equal sections. Four sections are red, three are blue, and five are green. The spinner is spun twice. What is the probability that it lands on red both times?
What is
1/9
A data set contains 11 numbers. The median is 42. The mean is 45. The mode is 42. The range is 30. The smallest value is 25.
What is the greatest value?
What is 55?
25+30=55