Arithmetic
What is the product of 23 and 17?
391
Find the perimeter of a rectangle with a length of 8 cm and a width of 5 cm.
26 cm
If 5a−3b=7 and a=2, find the value of b.
b=1
John ate 2/5 of a pizza, and his friend ate 1/3 of the pizza. How much of the pizza did they eat together? (Express the answer as a fraction in simplest form.)
11/15
Simplify the fraction 18/24.
3/4
Two iced lattes cost $5. How much does it cost for seven iced lattes?
17.5
This shape has two pairs of parallel sides and opposite sides that are equal in length. The angles between the adjacent sides are not necessarily 90 degrees. What is the shape?
parallelogram
In a pet store there are 12 dogs and 10 cats. The ratio of dogs to cats is equal to the ratio of hamsters to guinea pigs. How many hamsters are there in the store if there are 15 guinea pigs?
18
If 5x+3=2x+12 what is the x ?
x=3
The average (arithmetic mean) of four consecutive even integers is 5. What is the median of these four numbers?
5
Maria bought 3 books priced at $15.75 each and 2 notebooks priced at $4.25 each. She used a 10% off coupon for the total purchase. How much did she spend after the discount?
50.175
This shape has two parallel circular bases connected by a curved surface. The bases are congruent, and the shape is often used to describe a can of soda. What is the shape?
cylinder
John has twice as many apples as Mary. Together, they have 36 apples. How many apples does John have?
24
40% of the students in a class are female. If there are 10 females in the class, how many males are there in the class?
15
Bob invested in a stock that increased in value by 17% to 25.74. What was the actual increase in the stock’s value?
3.74
150 is what percent of 30 ?
500
A cuboid has a length of 10 cm, a width of 4 cm, and a height of 3 cm. What is the volume of the cuboid? Provide the formula used.
120
How many integers n are there such that 1 < 5n + 5 < 25 ?
The mean score of 6 students is 85. If one more student joins the group and the new mean score becomes 86, what is the score of the new student?
92
A square has a side length of 4x cm. If the area of the square is 144 square centimeters, find the perimeter of the square.
48 cm
A glass was fi lled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
2 %
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the fi rst sandbox, what would be the capacity, in cubic feet, of the second sandbox?
80
A rectangular garden has a length of 3x meters and a width of x+2 meters. If the perimeter of the garden is 36 meters, find x.
4
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
1800
Solve the inequality: 4x+7≥3x+12
x≥5