operations with fractions
What is 8/10 - 3/10 (in simplest terms!)
1/2
a rectangle has the dimensions 3 inches by 2 inches. Give the dimensions of a rectangle that is similar.
Answers vary. Examples: 6 by 4; 30 by 20
what is the theoretical probability of getting heads when you flip a coin?
50%
Not including negative numbers, how many factors of 12 are there?
6 factors
The dimensions of a rectangle are 9 by 7 inches. What is its area?
63 square inches
what is 1/3 +1/4?
7/12
A triangle has a height of 7 inches and a base of 4 inches, so its area is 14 square inches. What is the area of a triangle in which the dimensions given here are doubled?
56 square inches
A spinner is divided into 8 equal sections labeled green, red, blue, green, red, blue, green, red. What is the probability of landing on a blue section?
25%
What are all the factors of 36?
1,2,3,4,6,9,12,18,36
The sides of a parallelogram are 7 cm and 20 cm. What is its perimeter?
54 cm
what is 4/5 x 7/8?
28/40 = 14/20 = 7/10
The sides of triangle A are: 3 cm, 4.2 cm, and 5.6 cm. If triangle B is similar and has two sides that are 16.8 cm and 22.4 cm, what is the length of the shortest side?
12 cm
A family has 3 children. Assuming girls and boys are equally likely to be born, what is the theoretical probability of all 3 children being boys?
1 in 8, or 12.5%
What is the greatest common factor of 39 and 65?
13
A right triangle has the side lengths 6,8,10 feet. What is the area of the triangle?
24 square feet
what is 42/3 minus 29/10? (improper fraction or mixed number acceptable)
123/30 = 53/30
The edges of a cube are enlarged by a factor of k. How is the volume of the new cube related to the volume of the original?
It is k3 times greater
Two 6-sided dice are rolled and the sum is 7. What is the likelihood of this happening?
6 out of 36, or 1/6
Name three numbers with an odd number of factors
1,4,9, etc (all perfect squares)
A circle has a radius of four feet. What is its circumference (use 3 for pi)?
about 24 feet
what is 9 and 1/2 divided by 4/7? (improper fraction or mixed number acceptable)
133/8 = 165/8
define what it means for two mathematical figures to be similar.
similar figures have the same shape (or same angles) but are (usually) a different size -- different (or proportional) side lengths.
Julian has brown pants, blue pants, a white shirt, a red shirt and a pink shirt. He has striped socks and polka dot socks. How many different outfits can he make?
12
Define what an abundant number is.
A number whose factors, excluding the number itself, exceed that number when added together. Example: 12 because 1+2+3+4+6 = 16
What is the surface area of a cube with volume of 216 cubic feet?
216 square feet