Numbers and Operations
Algebraic Thinking
Geometry/Measurement, Data, Statistics, and Probability
Numbers and Operations
100
For the number 42,103.68, the place value 4 is how many times larger than the place value of the 0?
A) 4
B) 100
C) 1,000
D) 40,000
C) 1,000
(The correct answer choice is C because the 4 is three places to the left of 0, which would be 10x10x10=1,000.)
100
Select all the choices that represent an expression.
A) 2x + 7 = 5
B) ab - 8
C) 2/5 + x squared
D) A= bh
E) 3( 4h + 3g)
F) y= 2x - 1
B) ab - 8
C) 2/5 + x squared
E) 3( 4h + 3g)
( The expressions are all the answer choices without an equal sign.)
100
Which statement best describes the relationship between parallel and perpendicular lines?
A) Parallel lines never intersect and are always at the same distance from each other. Perpendicular lines intersect at a right angle (90 degrees)
B) Parallel lines intersect at a right angle, while perpendicular lines never intersect.
C) Both parallel and perpendicular lines intersect at some angle other than 90 degrees.
D) Parallel lines can intersect if extended, whereas perpendicular lines always remain parallel.
A) Parallel lines never intersect and are always at the same distance from each other. Perpendicular lines intersect at a right angle (90 degrees)
100
Write the number 4,030,122 in expanded form:
4,000,000 + 30,000 + 100 + 20 + 2
To write in expanded form, think about the verbal form of the number. 4,030,122 is read, "Four million, thirty thousand, one hundred twenty-two."
** the hundred thousand place is zero**
200
Select all of the statements that are true about the number below:
23,401.07
A) The 2 is in the thousands place
B) The 4 is in the hundreds place
C) There are no 10s in this number
D) 7 is in the tenths place
E) There is a 0 in the oneths place
F) The 2 is in the ten-thousands place
B) The 4 is in the hundreds place
C) There are no 10s in this number
F) The 2 is in the ten-thousands place
200
Jarrod is using a verbal statement to represent the addition of two terms in an expression. Which word could he use to represent addition?
A) sum
B) product
C) difference
D) quotient
A) sum
200
The complement to angle A is 42 degrees. What is the measure of angle A?
A) 42 degrees
B) 48 degrees
C) 58 degrees
D) 138 degrees
B) 48 degrees
(complementary= 2 angles that add to 90 degrees)
(supplementary= 2 angles that add to 180 degrees)
200
Simplify the expression and write the solution in the box.
1 + 2(28 - 12) + 2 x 10
The solution is 53
PEMDAS
1 + 2(28-12) + 2 x 10
1 + 2( 16) + 2 x 10
1 + 32 + 20
53
300
A teacher asked the class to round the number 507,291 to the nearest ten-thousands. Of the responses she received below, which one is correct?
A) 507,000
B) 508,000
C) 510,000
D) 600,000
C) 510,000
(Remember: after rounding to the correct place value, all the numbers to the right of the place value rounded to become zeros.)
300
Solve: -2x + 3 < 5
Solution:
-2x + 3 < 5 (subtract 3 from each side)
-2x < 2 (5-3=2)
x > -1 (divide by -2 and flip < to > because you are dividing by a negative number
300
Which of the following could be used to construct a triangular prism?
A) 4 triangles
B) 3 triangles, 4 squares
C) 2 triangles, 3 rectangles
D) 2 triangles, 4 rectangles
C) 2 triangles, 3 rectangles
(A prism has an identical top and bottom, and the base shape is part of the name of the prism. In this case, a triangle is the shape of the top and bottom, or two bases. Thus, three rectangles would connect the triangles to form a triangular prism. )
300
Robert was at a friend's house for three and a half hours. He left his friend's home at 6:15p.m. What time did he arrive?
Solution: 2:45 p.m.
This a good problem for using the problem-solving strategy of working backwards. Starting with 6:15 and going back 30 minutes to account for the half hour puts the time at 5:45. Working backwards another 3 hours to address his remaining time Rober was at his friend's house, puts him arriving at 2:45p.m.
400
Find the least common multiple (LCM) of 12 and 15?
A) 3
B) 30
C) 60
D) 180
C) 60
(You are looking for the smallest common multiple)
400
How many circles would be in the 4th figure based on the pattern below?
A) 4
B) 16
C) 32
D) 64
D) 64
(The next number in the sequence would be 16 x 4 =64.)
400
Stacey wants to plant one row of bushes along the length of her front yard. The length of her front yard is 6 less than three times the width. If the perimeter of her yard is 284 feet, what is the length of the yard?
A) 37 feet
B) 74 feet
C) 105 feet
D) 210 feet
C) 105 feet
400
Which of the following is an example of applying the distributive property to the expression 4+14a?
A) 2(2 +7a)
B) 2 x 2 + 14a
C) 4 + (2 x 7a)
D) 18a x 1
A) 2(2 +7a)
If we apply the distributive property to the expression, we get 4 +14a= 2 x 2 + 2 x 7a = 2(2 + 7a) which is option A.
500
Which of the following is an example of the commutative property of addition?
A) (2 + x) + 3 = 2 + (x + 3)
B) 4 + ( y + w) = 4 + (w + y)
C) 5a + b + 1 = 5a + b
D) 2(3x +8) -1 = 6x + 16 - 1
B) 4 + ( y + w) = 4 + (w + y)
(The commutative property of addition changes the order of two addends in an addition statement.)
500
Jessica and Emily both collect coins. Emily has four less than twice as many coins as Jessica. If c represents the number of coins Jessica has, which expression represents the number of coins Emily has?
A) 4< 2c
B) 4- 2c
C) 2(4-c)
D) 2c - 4
D) 2c - 4
( c is Jessica; 2c is Emily having twice the number of coins; - 4 is the last step. )
500
Find the perimeter of a square with an area of 100 square feet.
A) 1,000 feet
B) 40 feet
C) 20 feet
D) 10 feet
B) 40 feet
( A= L x W) (10 x 10= 100)
( P= Side + Side + Side + Side)
10 +10+10+10=40
500
An artist made a scale drawing of a mural he is painting on the side of a building. The building is 10 feet tall and 80 feet wide. The scale of inches to feet used to make the drawing is 3:40. How wide is the scale drawing?
A) 6 inches
B) 0.75 inches
C) 24 inches
D) 5 inches
A) 6 inches
The scale, 3:40, is one fraction of the proportion. Although we have both the length and width of the building, the question is asking for the WIDTH of the scale drawing, so only the WIDTH of the actual building should be used in the second fraction of the proportion along with the unknown, x. The length of the building is EXTRA information.
3/40 = x/80
40x= 240
x= 6 inches