Geometry
True or False:
All parallelograms are rectangles.
False.
Parallelograms do not need to have 4 right angles as rectangles do.
Which expression has a greater value?
(1,341 + 625) + 0
or
1/2 x (1,341 + 625)
(1,341 + 625) + 0
Both expressions have (1,341 + 625) in common so ignore that part and look at what's left: adding zero or multiplying something by one-half (aka diving something by 2)
Carla has packed a box with 60 centimeter cubes. What is the volume of the box?
60 centimeters cubed
1/4 x 3/5
3/20
True or false: If you multiply a number by a fraction that is less than 1, the answer will always be bigger than the original number.
False. The answer will always be smaller than the original number if you multiplied by a fraction less than 1. Ex: 4 x 1/2 = 2 -- 2 is smaller than the original number, 4.
Which ordered pair describes a point that is 8 units from the x-axis?
(4,8) or (4,4) or (8,4)
(4,8)
Write the equation and solve:
8 times the sum of 2 and 15
8 x (2 + 15) = 136
Carla's box has a volume of 60 cm cubed. The box has a height of 5 cm. What is the area of its base?
12 cm squared
find: two-thirds times 4
2/3 x 4
eight-thirds or 8/3
2 and 2/3
A rectangle has the dimensions 4/3 yards by 2/3 yards. What is its area?
8/9 square yard
Which ordered pair describes a point that is 3 units from the y-axis?
(0,3) or (3,0) or (6,3)
(3,0)
write the equation and solve:
18 plus the quotient of 36 and 9
18 + (36 / 9) = 22
/ = division sign
Which of these could be considered a statistical question?
How old is Joan's sister? OR On average, how many plants do the students in room 8 have at home? OR How many plants does Tom have at home?
On average, how many plants do the students in room 8 have at home?
There would be a variety of answers to account for in order to answer this question. ie. we would have to gather the data (how many plants each student has) then find the average amount (adding all quantities and dividing by number of students)
Is 2/3 x 4 equivalent to 2 x 4/3?
Yes. Both would give us the answer "8/3"
A rectangular plot has an area of 9/10 square miles. It has a length of 3/2 miles. What is the width?
3/5 mile
consider the coordinate points:
(0,0) (2,8) (4,16) (6,24)
Each X-coordinate is _____ the corresponding Y-coordinate.
one-fourth of
write the equation and solve:
the product of 12 and 2 minus the quotient of 45 and 5
(12 x 2) - (45 / 5) = 15
/ = division sign
Tanya has a jar of buttons. Is the following considered a statistical question about her collection:
How many buttons are in the jar?
No. To be a statistical question, data generated from the question should vary. "How many buttons" would have one answer. But, a question like "Which color would most likely be pulled?" would require knowing how many of each colored button there is and comparing the quantities of each.
1/4 divided by 8
1/32
It took Mark 1.75 hours to bike his local trail. He averaged 12.5 miles per hour. What is the best estimate for the length of the trail?
between 1 and 13 OR between 12 and 26 OR between 25 and 35?
between 12 and 26
think: estimate 1.75 x 12.5 -- find the boundaries by rounding both factors down and rounding both factors up
1 x 12 = 12
2 x 13 = 26
Joey used 2 patterns to create his coordinate pairs:
(0,0) (2,3) (4,6) (6,9) (8,12)
What rule did Joey use for his x-coordinates? What rule did he use for his y-coordinates?
The x-coordinates use the rule "add 2"
The y-coordinates use the rule "add 3"
which expression has a lesser value?
3 times the quotient of 81 and 9
or
the quotient of 81 and 9 times one-third
the quotient of 81 and 9 times one-third
When looking at data, such as in a dot plot, how do you find the median?
What is the median of these data points: 3, 4, 4, 2, 1
Put the data points in order: 1, 2, 3, 4, 4
Find what data point is in the middle: 3
The median is 3.
Zara is serving a pie. She starts by cutting the pie in half and then cuts each half into 4 equal pieces. What fraction of the whole pie is each slice?
1/8
victor bought 15.6 pounds of paintballs. All together, the balls cost $35.99. About how much did the paintballs cost per pound?
Around $20, $10, $1, or $2
around $2