Number Theory
Which type of numbers are used for counting objects?
Natural Numbers
Evaluate the following power: 23
8
Convert the fraction 1/2 to a decimal.
0.5
What is a set?
A well-defined collection of objects.
A store bought a bag for $30 and sold it for $45. What was the profit?
$15
True or False. Zero is a Whole number.
True
What is the index notation for 5 x 5 x 5 x 5
54
Convert the decimal 0.25 to a percentage.
25%
List the elements of the set:
A = {1, 3, 5, 7}
1, 3, 5, 7
A phone was bought for $80 and sold for $65.
Find the loss.
$15
What are the first five multiples of 7?
7, 14, 21, 28, 35
What is the square root of 36?
6
Simplify the ratio 8 : 4.
2 : 1
What does the symbol ∈ mean in set notation?
“Element of” or “belongs to”.
A shirt costs $50. It is on sale for 20% off. How much is the discount?
$10
List all the factors of 12.
1, 2, 3, 4, 6, 12
Evaluate the following expression using the correct order of operations: 8 + 6 ÷ 2
11
Calculate 30% of 50.
15
Given the sets: A = {1, 2, 3} and B = {3, 4, 5}. Find A ∪ B.
{1, 2, 3, 4, 5}
An item costs $40 and the sales tax is 10%.
How much is the sales tax?
$4
Which number is a prime number: 9, 15, 11, or 21? Explain your answer.
11 (because it has exactly two factors: 1 and 11)
Find the highest common factor (H.C.F.) of 12 and 18.
6
A class has 10 boys and 15 girls. Write the ratio of boys to girls in its simplest form.
2 : 3
Given the sets: A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. Find A ∩ B.
{3, 4}
A book cost $20 and was sold for $25. Calculate the percentage profit.
25%