Numbers and computation
Between which two whole numbers does the square root of 240 lies?
15 and 16
240 lies between the squared numbers of 225 and 324 so its square root will lie between their square roots.
Three angles in a paralellogram are 60,120 and 120 degrees. What is the measure of the next angle? Give a reason for your answer.
The next is 60 degrees because opposite angles in parallelograms are congruent. Additionally, the sum of degrees in all quadrilaterals is 360 degrees.
Which graph arranges data in intervals that are joined?
Histogram.
Given x = -3 and y = 4 calculate the sum of the squares of both x and y.
9 +16 = 25
sum means add
The Temperature in Lawrenceville was 20 degree Celsius in the winter. If it increase by 40% in the spring, give the absolute value of the new temperature.
28 degrees Celsius.
40% means to multiply by 0.4
then add the result to the original number
If 0.001 is written as 10 raised to an exponent, What would be the value of that exponent?
- 3
0.001 = 1 divided by 10 to the exponent of 3 or 1/10 times 1/10 times 1/10. The negative exponent tells how many times we divide 1 by 10.
Which quadrilateral is both a rectangle and a rhombus?
What is a square?
Given, 2,4,7,10,5,11, 8,3 and 4. Give the range, mode, median, and mean in the suggested order.
Range 9, mode 4, median 5 and mean 6.
When multiplying or dividing an inequality by a negative constant how does it affect the inequality sign?
The sign is reversed, changed to the opposite one.
Roderick buys a lunch for $45.00 . He pays sales tax of 8% and a tip of 12%. What will his total spending be?
$54.00
total of 20% = 0.2
0.2 times 45 = 9
45 +9 = 54
calculate 8 x (12 - 9) + 21÷ (-7) - 1
20
PEMDAS; 12-9 = 3, 8 x (3) = 24; 21÷ (-7)= -3,
and 24-3-1= 20
Calculate the volume and total surface area of a rectangular prism with dimensions 2 cm by 3cm by 5cm.
S.A. = 62 squared cm & Vol. = 30 cubic cm.
Which is easier to identify the modal median score on?
Stem and leaf plot, Histogram?
Stem and leaf plot.
Given the equation of a line Y = 4X + 3, Give
1: The slope
2: the Y-intercept
3: the value of y when X = - (1/2)
m = 4
b = 3
y = 1
If 2cm on a map represents 5 miles in actual terms, how many miles will 10 cm on the map represent?
25 miles.
use scale factor
5/2 = M/10
butterfly method
When a number is squared, then 1 is added to the result, we get the value of five times 10. What was the original number?
What is 7?
Reverse the process : 50 -1 = 49
square root of 49 = 7.
Calculate the Volume and total Surface Area of a cylinder with diameter = 14 cm and height = 3 cm. when Pi = 22/7 only.
Vol. = 462 cubic cm and S.A. = 440 squared cm.
There are 3 red balloons 4 blue balloons, 2 white balloons, and 1 yellow balloon in a decoration at a wedding. What is the probability that a balloon selected at random will be blue? Give your answer in the simplest terms as a decimal, fraction, or percentage.
4/10 = 2/5 or 0.4 or 40%
A line passes through the following points
( 0, 0) , ( 1, 3), ( 2, 6), ( 3, 9) and (4, Y)
A: Is this a proportional relationship?
B: If yes, What is the constant of proportionality?
C: What is the value of Y in the last ordered pair?
A: Yes
B: 3
C: 12
Travis has a box in the form of a cuboid with dimensions 8 ft by 4 ft by 3 ft. How much space does the box takes up?
96 cubic ft.
How much means to find the volume.
vol. = lwh
Two numbers are in the ratio 2:3. If the smaller number is 18, what is the value of the larger one and what is the sum of both numbers?
What is 27 and 45?
2/3 = 18/n ; use butterfly method Then add the answer to the 18.
The length of a rectangular prism is multiplied by a scale factor of 1/2, and the width is multiplied by a scale factor of 6. Will this cause the volume of the prism to be tripled?
Yes. True because 1/2 times 6 = 3.
1/2 L times 6W times H = 3LWH
A fair coin and a fair numbered cube are both tossed at the same time.What will be the sample space of this event?
2 times 6 = 12
probability = number of favorable /total number
Solve 15 - 2P > 1
list a value that P can be according to your answer.
P < 7
P = 0
first subtract 15 from each side , then divide each side by -2.
There is a large coordinate plane made on the basket ball court. The domain is X from - 5 to 5 and the range is Y from -4 to 8. Aimie stands at the origin with her face looking along the positive part of the Y -axis. She then moves 4 units to the right and two units downwards. What would be the image of her location if it is reflected through the Y -axis?
( -4, -2)
when reflect through y axis, the Y value remains but the X- coordiniate changes sign