Algebraic Reasoning
A group of 191 students are going on a field trip. They are taking mini-vans that each hold 6 students. If they fill has many mini-vans as they can with 6 students each, how many students will be in the last mini-van?
5 students
How many times greater is the value of the 4 in 640,700 than the value of the 4 in 64,070?
10 times greater
A 70° angle is decomposed into two angles, one of which is 27°. What is the measure of the other angle?
43 degrees
A gallon contains 16 cups. How many cups are in 4½ gallons?
72 cups
An equation is shown.
8/10 + ___ = 93/100
What is the missing fraction?
13/100
Ronaldo has a measuring cup that holds 1/3-cup of sugar. He fills it 6 times, each time emptying it into a bowl for a bread recipe he is making. How much sugar is in the bread recipe?
2 cups
Write 6 x 10,000 + 5 x 1,000 + 2 x 100 + 3 x 1 as a number.
65,203
Mark each true statement below with an x in the corresponding box. Select all that apply.
□ All squares are rhombuses.
□ All rectangles are parallelograms.
□ Some right triangles are equilateral triangles.
□ All rectangles are squares.
□ All rhombuses are quadrilaterals.
□ All squares are rhombuses.
□ All rectangles are parallelograms.
□ Some right triangles are equilateral triangles.
□ All rhombuses are quadrilaterals.
In item at the store costs $3.88. You give the cashier $5.00. How much change should you receive?
$1.12
Create a fraction with a denominator of 100 that is equivalent to 7/10.
70/100
The first number in a pattern is 5. The pattern follows the rule “Add 8.” What are the fourth and fifth numbers in the pattern?
29 and 37
Emerson write the number 438,670 in expanded form. Which of the following was not part of what Emerson wrote?
A. (3 x 10,000)
B. (8 x 1,000)
C. (6 x 100)
D. (4 x 10,000)
D. (4 x 10,000)
Name the type of angle.
180°
30°
200°
90°
105°
Straight
Acute
Reflex
Right
Obtuse
Connor wants to know how cold it is outside this morning. The device he can use to measure how cold it is would be a
A. Thermometer
B. Scale
C. Yardstick
D. Measuring Cup
A. Thermometer
What is the value of 9/10−4/10?
5/10 or 1/2
Brian wants to buy the same number of hats for 3 of his friends. He has $57 dollars, and each hat costs $5. What is the greatest number of hats that Brian buys for each friend?
3 hats
Round 1,278 to the nearest hundred.
1,300
What is the area in square units of a 5 by 4 figure?
20 square units
Write the measurements below in order from least to greatest.
180 inches, 4 yards, 14 feet
4 yards, 14 feet, 180 inches
Which fractions are equivalent to 1/2?
□ 3/6
□ 4/9
3/6
102 – 25 = ? – 38
115
Select all the expressions that have a product of 420.
□ 35 x 12
□ (3 x 5) x (10 x 2)
□ (10 x 40) + (10 x 2)
□ 40 x 20
□ 14 x 30
□ 35 x 12
□ (10 x 40) + (10 x 2)
□ 14 x 30
What is the perimeter of a rectangle with one side 12 inches and the other side 4 inches?
32 inches
A centipede is crawling at a rate of 6 inches per minute. How long will it take the centipede to travel 1 yard?
36 minutes
Select all of the fractions that are equivalent to 0.8.
□ 8/10 □ 80/10
□ 8/100 □ 80/100
□ 10/8 □ 100/8
8/10
80/100