Show:
Numbers, Prime Factorization & Distributive Property
Factors and Multiples
Ratios & Unit Rates
Percents
Geometry
Math Olympiads Problem Solving
100
Name 4 square numbers.
1,4,9,16....
100
Name all factors of 30.
factors (1, 2,3,5,6,10,15, 30)
100
80% of the students at our school are right-handed. Write a ratio, in its simplest form, to represent this relationship.
What is 4:5? 80/100 = 8/10 = 4/5
100
What is the name of a triangle where all the sides are equivalent.
Equilateral Triangle
100
Kim stands in a line of people. She is the 25th person counting from the front of the line. She is the 12th person counting from the rear. How many people are in the line?
There are 24 people in front of Kim and 11 people behind her. Counting Kim herself, there are 24 + 11 + 1 or 36 people in the line.
200
List all the prime numbers between 0 and 20.
2,3,5,7,11,13,17,19
200
What is the least common multiple of 33 and 11
33
200
Currently the ratio of sixth grade students with iPads to total students is 3:5. If 120 students do not have iPads, how many total students are in the sixth grade?
300 students The ratio of students without iPads to total students is 2:5. This means 1 part = 60 students. 5 parts = 300 students.
200
What is the area of a triangle with a base of 10 and a height of 5 meters
25 sq. meters
200
A digital clock shows 2:35. This is the first time after midnight when all three digits are different prime numbers. What is the last time before noon when all three digits on the clock are different prime numbers?
7:53 The single-digit prime numbers are 2, 3, 5, and 7. Select the 3 greatest numbers from this list and write them from largest to smallest. The last time before noon when all 3 digits are prime is 7:53.
300
What is the prime number between 90-100?
97
300
During the summer months, one ice cream truck visits Jeannette's neighborhood every 4 days and another ice cream truck visits her neighborhood every 5 days. If they both come today, when is the next time both trucks will visit on the same day?
20 days
300
9 students in class have an iPhone. If 20% of the students have iPhones, how many total students are in the class?
45 students
300
What is the area of a rectangle with 12 cm by 8 cm.
96 sq ft
300
What is the sum of the first 10 integers.
55
400
Find the GCF of 64 and 104.
8
400
The Save Club is having a bake sale. They have 48 chocolate chip cookies and 64 vanilla wafer cookies to put in bags. What is the largest number of bags they can make with an equal number of chocolate chip cookies and an equal number of vanilla wafer cookies in each bag (assuming they use them all)? How many chocolate chip and how many vanilla wafers will be in each bag?
16 bags with 3 chocolate chip cookies and 4 vanilla wafers in each bag. (GCF)
400
The grocery store sells beans in bulk. The grocer's sign above the beans says, “5 pounds for $4.” How much per pound.
$0.80 per pound
400
What is the volume of this rectangular prism with a length of 4 meters, height of 3 meters, and a width of 2 meters?
24 cubic meters
400
A rectangle has a perimeter of 90 cm. The length of the rectangle is 25 cm more than its width. Find the number of sq cm in the area of the rectangle.
350 sq cm The perimeter of a rectangle, the sum of two lengths and two widths, is 90 cm. The sum of one length and one width, called the semiperimeter, is half as large, or 45 cm. The two numbers with a sum of 45 that differ by 25 are 10 and 35. The area is 10 × 35 or 350 sqcm.
500
Mr. Jones and Mr. Lee each own a piece of property adjacent to each other. Mr. Jones' property is 20 yds by 30 yds. Mr. Lee's property is 20 yds by 40 yds. What is the combined area of the two properties.
1,400 sq. yards
500
What is the greatest common factor of 51 and 85
17
500
A grocery store sign indicates that bananas are 6 for $1.50, and a sign by the oranges indicates that they are 5 for $3.00. Find the total cost of buying 2 bananas and 2 oranges.
$1.70 $0.25/banana x2 $0.60/orange x2
500
Find the surface area of a cube with a length of 5 meters.
150 sq. meters
500
At a fruit stand, an apple and a pear cost 25 cents, a pear and a banana cost 19 cents, and an apple and a banana cost 16 cents. Alex buys one apple, one pear, and one banana. How much does Alex spend?
30 cents Notice that each of the costs mentioned is for a different pair of fruits, and each type of fruit is mentioned twice. Suppose Alex buys an apple and a pear, then a pear and a banana, and then an apple and a banana. His purchase of two of each kind of fruit would cost 25 + 19 + 16 or 60¢. Then one of each would cost half as much, so Alex spends 30¢.