Fractions
Geometry
Proportions and Ratios
Expressions and Equations
The Number System
100
A family ordered two pizzas for dinner. Both pizzas were the same size. Each slice of pizza was the same size.
This diagram shows the amount of pizza remaining after dinner.
Which of these equations shows how to find the fraction of a whole pizza that was
3/8 + 2/8 = 5/8
100
A sign is in the shape of a square. Each side of the sign has a length of 6 x 6 inches.
What is the area of the sign?
36 square inches
100
Members of a club are selling boxes of cookies. Each box of cookies costs the same amount. This table shows the total cost for different numbers of boxes of cookies.
Based on the data in the table, what would be the total cost, in dollars, of 10 boxes of cookies?
$35.00
100
At a carnival, only people taller than 48 inches are allowed to ride the roller coaster.
Which of the following inequalities best describes all the possible heights, h, in inches, of people who are allowed to ride the roller coaster?
- A.
h>49
- B.
h<
- C.
h>48
- D.
h<48
C. h > 48
100
In Fairbanks, Alaska, the average temperature in February is -3.6°F, and the average temperature in March is 11°F.
What is the difference in the average temperatures for February and March in Fairbanks, Alaska?
14.6°F
200
What value of c makes this equation true?
4/6 = 8/c
12
200
Anjali has the shape shown.
What is the total number of right angles Anjali’s shape appears to have?
1
200
In 1999, the U.S. Postal Service sold 15 stamps for $4.95. In 2018, the U.S. Postal Service sold 12 stamps for $6.00. What was the unit rate, in dollars, per stamp for each year?
$0.33 and $0.50
200
What is the value of this expression when n=5?
45/n + 10
19
200
What is the value of this expression?
(2−3)(4−5)
1
300
A student drinks
2/5
liter of water each morning.
What is the total amount of water, in liters, the student drinks over 4 mornings?
8/5
or
1 3/5
300
The location of point B on a coordinate plane is represented by the ordered pair (8,4).
Which of the following statements describes the location of point B on the coordinate plane?
- A.
Point B is 4 units to the right of the origin and 8 units up from the origin.
- B.
Point B is 8 units to the right of the origin and 4 units up from the origin.
- C.
Point B is 4 units to the left of the origin and 8 units down from the origin.
- D.
Point B is 8 units to the left of the origin and 4 units down from the origin.
B
300
A farmer is planting carrot seeds and pepper seeds in his garden. For every 60 carrot seeds the farmer plants, he plants 12 pepper seeds.
Based on this information, which of the following statements is true?
- A.
The ratio of pepper seeds to carrot seeds is 60:12 because 60 pepper seeds are planted for every 12 carrot seeds.
- B.
The ratio of pepper seeds to carrot seeds is 60:12 because there are always 48 fewer carrot seeds planted than pepper seeds.
- C.
The ratio of pepper seeds to carrot seeds is 12:60 because 12 pepper seeds are planted for every 60 carrot seeds.
- D.
The ratio of pepper seeds to carrot seeds is 12:60 because there are always 48 fewer pepper seeds planted than carrot seeds.
- C.
The ratio of pepper seeds to carrot seeds is 12:60 because 12 pepper seeds are planted for every 60 carrot seeds.
300
What is the value of this expression?
(5^2 - 7) + 4^3 ÷ 8
10.25
300
What is the value of this expression?
2.4÷0.12
20
400
Which of the following expressions is equivalent to
5 * 1/2
?
- A.
5×1÷2
- B.
5×2÷1
- C.
(5×1)÷(5×2)
- D.
(5×2)÷(5×1)
A. 5 x 1 ÷ 2
400
The radius of a circle is 6 ft. What is its circumference? Use 3.14 as an approximation of Pi.
37.68 ft
400
Charles bought a box of fruit that contained only oranges and tangerines.
- There were 5 oranges for every 3 tangerines in the box.
- There were 20 oranges in the box.
Which of the following proportions can be used to find x, the number of tangerines in the box?
- A.
5/8 = x/20
- B.
5/8 = 20/x
- C.
5/3 = x/20
- D.
5/3 = 20/x
D
400
A box has a mass of 50 grams. Marbles will be added to the box. Each marble has a mass of 3 grams.
If n represents any number of marbles in the box, which expression can be used to find the total mass, in grams, of the box and the marbles?
- A.
50n−3
- B.
50−3n
- C.
50n+3
- D.
50+3n
D. 50+3n
400
A teacher runs each morning before school.
- Last week, he ran a total of 5 3/4 miles.
- This week, he ran 4/5 of the total number of miles he ran last week.
What is the total number of miles that the teacher ran last week and this week?
10 7/20
500
Emilio has a bag of dog food. The bag contains
24 3/4
cups of dog food. Emilio feeds his dog
2 3/4
cups of dog food each day.
What is the total number of days Emilio can feed his dog from this bag of dog food?
9 days
500
The circumference of a circle is 94.2 inches. What is its diameter? Use 3.14 as an approximation for Pi.
30 inches
500
Brian read
8 1/4
pages of a book in
1/6
hour. At this rate, what is the total number of pages of the book he will read in 1 hour?
49 1/2
500
What value of x makes this equation true?
2x−1=9
x=5
500
Which of the following is equivalent to this expression?
40 ÷ 1/4
A. 1/4 x 40- B.
40 * 4
- C.
- 1/4 ÷ 40
- D.
40÷4
B. 40 x 4