Numbers and Numbers & Operations
Coral recorded outdoor temperatures of -2°C, -11°C, and -5°C. Which of the following correctly compares the three temperatures?
a. -2°C < -11°C < -5°C
b. -11°C < -5°C < -2°C
c. -2°C < -5°C < -11°C
d. -5°C < -11°C < -2°C
The larger the negative number the smaller it is, so...
b. -11°C < -5°C < -2°C
Gerry drives 90 kilometers in one hour. If he drives at the same speed, how many kilometers can he drive in 2.25 hours?
a. 40 km
b. 77.75 km
c. 202.5 km
d. 86.25 km
90 kilometers/hour x 2.25 hours = 202.5 kilometers
c. 202.5 km
What is the value of the expression below?
211-(8-2)2÷3
a. 58 1/3
b. 66 1/3
c. 68 1/3
d. 199
211-(8-2)2÷3=211-(6)2÷3=211-36÷3=211-12=199
d. 199
A parallelogram has a base of 12 centimeters and a height of 4 centimeters. What is the area of the parallelogram? hint: A = b * h
a. 12 square centimeters
b. 24 square centimeters
c. 48 square centimeters
d. 96 square centimeters
12 centimeters x 4 centimeters = 48 square centimeters
c. 48 square centimeters
Given the following dataset {0,0,0,0,1,1,1,2,2,2,2,3,3}. What is the mode of the data?
a. There is no mode.
b. 1
c. 2
d. 3
No number appears more often than the others. So...
a. There is no mode.
Which number has the same absolute value as -3?
a. 1/3
b. 3
c. 0
d. -1/3
The number the same distance from zero is...
b. 3
Andrea’s budget is shown here. (Rent: 30%, Savings: 30%, Groceries: 25%, and Other: 15%) Her total monthly budget is $2,000. How much does Andrea spend on groceries?
a. $300
b. $500
c. $600
d. $800
25% = 0.25
$2000 x 0.25 = $500
b. $500
If there is a filled in circle on a number line and a ray to the right, how do you write the equivalent inequality?
a. X > 2
b. X ≥ 2
c. X < 2
d. X ≤ 2
If we draw the inequality out, we see that only the numbers at 2 or greater than 2 make the situation true.
b. X ≥ 2
Which equation expresses x in terms of y?
Hours, x 2 5 7
Charge, y ($) 180 450 630
a. x = y/90
b. x = y/180
c. y = x/90
d. y = x/2
180/90 = 2, 450/90 = 5, 630/90 = 7
a. x = y/90
Shannon bought a 12-ounce jar of strawberry jam for $3.60. What is the unit price?
a. $0.03/ounce
b. $0.30/ounce
c. $3.00/ounce
d. $43.20/ounce
$3.60/12ounces = $0.30/1ounce
b. $0.30/ounce
Shoshana divided a 10-pound bag of apples into 3 equal piles. How many pounds of apples are in each pile?
a. 1/3 lbs.
b. 3/10 lbs.
c. 3 1/3 lbs.
d. 3 3/1 lbs.
10 lbs. / 3 = 3 1/3 lbs.
c. 3 1/3 lbs.
In Ellen’s math class, there are 19 boys and 18 girls. Which of the following is the ratio of boys to girls in the class?
a. 18 to 19
b. 19 to 18
c. 19 to 37
d. 18 to 37
Remember that order matters, so...
b. 19 to 18
Evaluate the expression below for x = 5. 6 (x+7)
a. 30
b. 37
c. 42
d. 72
6 (x+7), where x = 5
6(5+7)
6(12)
72
d. 72
What is the area of a trapezoid with base 1 of 18m, base 2 of 23m, and height of 14m? Area=1/2 x h x (b1 + b2)
a. 287 square meters
b. 333 square meters
c. 368 square meters
d. 574 square meters
Area = 1/2 x (14m) x (18m+23m)
= 1/2 x (14m) x (41m)
= 7m x 41m
= 287 square meters
a. 287 square meters
If a histogram shows the number of hours per month students watch television, how would you determine how many students watched a given amount of television (ex:1-10 hours)?
example answer: Find the interval on the x-axis. Follow the column up to its top and over to the y-axis. The value on the y-axis is the answer.
Joy hit a golf ball 154.7 yards. Kay hit a golf ball 122.59 yards. How much farther did Joy hit a golf ball?
a. 32.11 yards
b. 32.10 yards
c. 31.11 yards
d. 32.12 yards
154.7 yards-122.59 yards = 32.11 yards
a. 32.11 yards
Zinnia is making a recipe that requires 1 cup of vinegar and 7 cups of water. Which of the following combinations shows the same ratio of vinegar to water?
a. 1/7
b. 7/1
c. 1/8
d. 8/1
Remember that order matters, so...
a. 1/7
If 4 of 10 shapes are shaded, what percent of the shapes are NOT shaded?
a. 20%
b. 40%
c. 60%
d. 80%
10-4 = 6
6/10 = 60%
c. 60%
A triangle has a height of 8cm and length of 10cm. A rectangle has a height of 10cm and length of 22cm. What is the area of a polygon made of both?
a. 62cm2
b. 260cm2
c. 300cm2
d. 396cm2
Area of the triangle = 1/2 x (10cm x 8cm) = 40cm2
Area of the rectangle = 10cm x 22cm = 220cm2
Area of the combined polygon = 40cm2 + 220cm2 = 260cm2
b. 260cm2
How do you graph a point? Explain.
example answer: Using the coordinate pair, the first number is the x-coordinate (horizontal component), and the second number is the y-coordinate (vertical component). Think left/right and then up/down. Also, you need to move the ladder or walk to an elevator, before you go up down.
What are all the factors of 24?
a. 1, 2, 3, 4
b. 2, 3, 4, 6, 8, 12
c. 1, 2, 3, 4, 6, 8, 12
d. 1, 2, 3, 4, 6, 8, 12, 24
What numbers can we multiply together to get 24?
d. 1, 2, 3, 4, 6, 8, 12, 24
The table below shows the number of books on shelves at a library. Which of the following represents the number of shelves?
Books: 42 63 105 147
Shelves: 2 3 5 7
a. Books ÷ 3
b. Books ÷ 21
c. Books - 40
d. Books - 42
42÷21=21, 63÷3=21, 105÷5=21, and 147÷7=21
b. Books ÷ 21
A student bought a book for $10.50 and a pen. The total cost was $12.50. Which of the following equations can be used to find the cost of the pen?
a. p = 10.5b
b. p = 12.5b
c. 10.5 + p = 12.5
d. 12.5 + p = 10.5
The total cost of 12.5 is probably on one side of the equation. Also, we know that the word "and" generally means addition. So...
c. 10.5 + p = 12.5
Charlotte is wrapping the box with sides 7in, 9in, and 5in. How much wrapping paper will she need?
Hint: Surface Area
a. 143 in2
b. 157.5 in2
c. 286 in2
d. 315 in2
SA = 2(7in x 9in) + 2(7in x 5in) + 2(9in x 5in) = 286in2
c. 286 in2