Number Sense
Arrange lowest to highest: -2, 0.5, 7 , 3/4 , -2/5 , 1
-2 < -2/5 < 0.5 < 3/4 < 1 < 7
Solve for x: 3+x=5
x =2
Find the mean of this data set:
9,7,8,7.5,4,9.25,5,6,6.5,7.5,8,8,8,10,5.5,7.5
Total: 113
Mean = 113/16 =7.06
Area of a rectangle: width = 3 inches, length = 15.93 inches.
3 x 15.93 = 47.79 squared inches
What is 10% of 345.89?
345.89 x 10 / 100 = 34.589
(-2) x 7 = -14
3+(-14) = -11
Solve for x: (-3) + x = 5
Add 3 both sides
(-3) + x +3 = 5+3
x = 8
Find the median of: 9,7,8,7.5,4,9.25,5,6,6.5,7.5,8,8,8,10,5.5,7.5
Rearrange:
4, 5, 5.5, 6, 6.5, 7, 7.5, 7.5, 7.5, 8, 8, 8, 8, 9, 9.25, 10
Median = (7.5+7.5)/2 = 7.5
Area of a normal pentagon, apothem = 3.09 cm, the side length = 4.5 cm
0.5 x 3.09 x 4.5 x 5 = 34.76 squared cm
A bag of marbles has 4 red, 7 blue, 8 green, 3 yellow. What is the percentage of red and blue marbles in this bag? Round 2 decimal places
Total: 4+7+8+3=22
(4+7)/22 *100 = 59.09%
45/270 = 5/30 = 1/6
Solve for x: 2x+6 = 9
Subtract 6 both sides: 2x+6-6 = 9-6
2x=3
Divide both sides by 2:
x=3/2 = 1.5
A bag of marbles has 4 red, 7 blue, 8 green, 3 yellow. What is the probability of picking 1 cool color marble? Round 2 decimal places.
Total=22, cool color marble = 15
Probabilities = 15/22 = 0.681 0r 68.1%
Volume of a pentagonal prism, side length = 4.5 cm, apothem = 3.09 cm, height = 8 cm
0.5 x 3.09 x 4.5 x 5 x 8 = 278.1 cubed cm
A car traveled 45 mph from the house to the grocery store. It took 15 minutes to get to the store. How far was the distance travel?
45 miles = 1 hour
? miles = 15 minutes = 0.25 hour
Distance = 45 X 0.25 = 11.25 miles
Calculate: -4-7 = ?
-4-7 = -13
Solve for x: 2x-4 = 3x+2
Subtract both sides by 2: 2x-2=3x
Subtract both sides by 2x: -2=x
What is the probability of getting the same number when rolling a D6 and D4 simultaneously? Example: both lands on 3. round to 2 decimal places
There are 6X4 = 32 total outcomes
There are 4 cases of rolling the same number
Thus, probability= 4/32 or 1/6 chances
Surface area of a rectangular prism, width = 2.45 cm, length = 3.8cm, height = 1.6 inches.
Height = 1.6 in = 4.064 cm
2x(2.45x3.8) + 2x(2.45x4.064) + 2x(3.8x4.064)
= 69.42 cm2 or 10.76 in2
A chocolate chip cookie is $2.50. If Jane has $20, and sale tax is 10.3%, how many cookies can Jane buy?
A cookie price after tax is $2.50 is $2.75
$20 / $2.75 = 7 cookies
Calculate (-7) + (-2)-(-3)
(-7)+(-2) = -9
(-9)-(-3) = -9+3 = -6
Solve for x: -3x-4=6x+2
Subtract both sides by 2: -3x-6=6x
Add both sides by 3x: -6=9x
Divide both sides by 9: -6/9 = -2/3 =x