Algebraic Reasoning
Geometry
Fraction
Word Problems
100
Evaluate this expression for n=4
5 x n + 2
22
100
What is the perimeter of this rectangle?
6 + 3 + 6 + 3 = 18 cm
100
During a visit to an orchard, Debbie picked 1/5 of a bag of Gold Delicious apples, 1/5 of a bag of Macintosh apples, and 3/5 of a bag of Cortland apples. How many bags of fruits did Debbie pick in total?
What is 5/5 bags of fruit or 1 bag of fruit?
100
Mr. Dent had 32 markers in his classroom. He buys new boxes of markers that have 9 markers in each box. Now, he has 86 markers. How many new boxes did he buy?
6
200
Evaluate this expression when n=8.
15 x (n - 2)
15 x (8 - 2) = 15 x 6 = 90
200
If the perimeter of the square is 32 meters, what are the dimensions of the square?
A) Length = 1 meters, Width = 4 meters
B) Length = 2 meters, Width = 16 meters
C) Length = 8 meters, Width = 8 meters
D) Length = 8 meters, Width = 6 meters
C) Length = 8 meters, Width = 8 meters
200
At the beach, Gavin and his sister both built sandcastles and then measured their heights. Gavin's sandcastle was 3 7/8 feet tall and his sister's was 2 3/8 feet tall. How much taller was Gavin's sandcastle than his sister's?
1 1/2 feet
200
Catherine is trying to estimate how much fabric she will need to make a pillow. The directions say she needs 1 5/12 feet for the front and another 1 5/12 for the back. How much fabric did she buy all together?
2 10/12
300
Do (12 + 6) ÷ 2 and 12 + 6 ÷ 2 have the same answer? Show how you know.
No, the answers are different. In the first problem, you add 12 + 6 first. In the second problem, you divide 6 and 2 first.
(12 + 6) ÷ 2 = 18 ÷ 2 = 9
12 + 6 ÷ 2 = 12 + 3 = 15
300
Anna draws a triangle where all three sides are the same length. What type of triangle is it?
A) Equilateral
B) Isosceles
C) Scalene
D) Right
A) Equilateral
300
3/8 of the staff are male. What fraction of the staff is female?
1 − 3/8 = 5/8 of the staff are female.
300
Kristina had $60.33 in her checking account. Then, she spent $12.69 from the account. How much money is left in Kristina's checking account?
$47.64
400
Evaluate each expression when: n=5
2 x (10 x n) =
n ÷ 5 + 4 =
8 + 10 x n =
100, 5, 58
400
A binder is 9 inches wide, 12 inches long, and 2 inches thick. What is the maximum volume of documents the binder can hold?
9 x 12 x 2 = 216
The volume of the documents the binder can hold is 216 cubic inches.
400
Two kinds of fish can be found in a small tank that is 5 1/7 feet long. The blue fish is 2/15 feet long and the orange fish is 7/10 feet long. How much longer is the orange fish?
17/30
The orange fish is 17/30 feet longer than the blue fish.
400
Calvin paints pictures and sells them at art shows. He charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold two large paintings and one small paintings. How much did he make in all?
56.25 + 56.25 + 25.80 = 138.30
He made $138.30.
500
Tom is thinking of a number. When he multiplies the number by 4 and then subtracts 6, he gets 22. What number is Tom thinking of?
A. 4
B. 12
C. 10
D. 6
D.6
500
In a hotel room, there is a safe in the closet that is 40 cm wide, 20 cm deep and 30 cm tall. What is the total volume of space for hotel guests to put their valuables?
40 x 20 x 30 = 24,000
The total volume of space for hotel guests to put their valuables is 24,000 cubic centimeters.
500
A warehouse has 12 and nine-tenths meters of tape in one area of the building, and eight and three-fifths meters of tape in another part. How much tape does the warehouse have in all?
20 15/10 = 21 5/10 = 21 1/2
The warehouse has 21 and one-half meters of tape in all.
500
Mrs. Hilt read 21 books. Each book had exactly 2,010 words in it. She sold five of her books for $4.95 each. How many words did Mrs. Hilt read?
21 x 2,010 = 42,210
She read 42,210 words.