Numerical Reasoning (fractions, decimals, place value)
Round 1,627, 187 to the nearest ten.
1,627,190
Find the next number in the pattern: 4, 10, 22, 46, 94, ___.
190
Multiply the previous number by 2, then add 2.
A triangle has angles measuring 42 degrees and 68 degrees. What is the measure of its third angle?
70 degrees
180-42-68=70
A ribbon measures 3 yards and 2 feet. How many inches long is the ribbon?
132 inches
3x36=108
2x12=24
108+24=132
The five quiz scores are 72, 85, 91, 78, and 94. What is the mean score?
84
72+85+91+78+94= 420
420/5=84
Calculate 4,536/18 using partial quotients.
252
Solve for x: 7x-15=48
x=9
A rectangle has vertices (1,2), (9,2), (9,7), and (1,7). What is the perimeter?
26 units
A rectangular garden has a perimeter of 54 feet and a width of 11 feet. What is its length?
16 feet
A bag contains 6 red, 9 blue, and 5 yellow marbles. What is the probability of selecting a marble that is not blue?
11/20
6+5=11 non blue marbles
Start at 3/4 on a number line. Move 2/3 unit to the right. At what number do you land?
1 5/12
Use an area model to solve 26x34.
884
A rectangular garden measures 18ft long and 13 feet wide. What is the area?
234 square feet
A rectangular prism has a volume of 360 cm cubed. Its length is 12 cm and width is 5 cm. What is the height
6 cm
The data set is 12, 18, 15, 21, 18, 24, 18. What is the difference between the mean and the median?
0
A tank is 3/5 full. After 24 gallons are added, it is 4/5 full. What is the tanks total capacity?
120 gallons
4/5-3/5=1/5
If 1/5 is 24 gallons, the whole tank holds 120 gallons.
A gym charges a $25 registration fee plus $18 per month. If the total cost is $169, how many months of membership were purchased?
8 Months
169-25-144
144/18=8
A triangle has angles measuring (2x +10) degrees, (3x-5) degrees, and 75 degrees. What is x?
2x + 10 + 3x - 5 + 75=180
A board measures 5 1/4 feet. A carpenter cuts off 2 2/3 feet. How much board remains? You can draw a number line to help you.
2 7/12 feet
The mean of five test scores is 86. Four scores are 78, 92, 85, and 90. What is the fifth score?
85
86 x 5=430
Known scores total 345
430-345 = 85
A ribbon measures 3 3/4 yards. Each piece must be 5/8 yards long. How many complete pieces can be cut?
6 pieces
A pattern follows the rule y=3x + 5.
If y = 47, what is x?
14
47-5 = 42
42/3 = 14
A square has vertices (-3, 2), (5,2), (5, 10), and (-3, 10). What is its area?
64 square units
A rectangular swimming pool measures 18 meters by 10 meters. A walkway 2 meters wide surrounds the entire pool. What is the area of the walkway only?
128 meters squared
A bag contains 4 red, 5 blue, and 3 green marbles. Two marbles are drawn without replacement. What is the probability that both are red?
1/11