WorksheetsMathematics Challenge for Grade 10
Total questions: 16
Worksheet time: 20mins
Define the union of two sets A and B.
A ∪ B = {x | x ∈ A or x ∈ B}
A - B = {x | x ∈ A but not in B}
A ∩ B = {x | x ∈ A and x ∈ B}
A ⊕ B = {x | x ∈ A or x ∈ B but not both}
What is the intersection of sets A = {1, 2, 3} and B = {2, 3, 4}?
{1, 2, 3, 4}
{2, 3, 4}
{1, 4}
{2, 3}
If A = {x | x is an even number} and B = {x | x is a prime number}, what is A ∩ B?
{6}
{3}
{4}
{2}
In a Venn diagram, what does the area outside both circles represent?
Elements not in either set.
The intersection of both sets.
Elements only in one set.
All possible elements in the universe.
How many elements are in the union of sets A = {1, 2} and B = {2, 3, 4}?
6
3
5
4
Draw a Venn diagram for the sets A = {1, 2, 3} and B = {3, 4, 5}.
A Venn diagram with A circle containing {3}, B circle containing {1, 2}, and the intersection containing {4, 5}.
A Venn diagram with A circle containing {2, 3}, B circle containing {3, 5}, and the intersection containing {1, 4}.
A Venn diagram with A circle containing {1, 2}, B circle containing {4, 5}, and the intersection containing {3}.
A Venn diagram with A circle containing {1, 4}, B circle containing {2, 5}, and the intersection containing {3}.
Using the property log_a(bc) = log_a(b) + log_a(c), simplify log_2(8) + log_2(4).
5
3
6
4
What is the value of log_10(1000)?
5
3
2
4
If log_b(27) = 3, what is the value of b?
9
6
3
12
Simplify √(50) into its simplest form.
5√2
2√25
10
5√5
What is the value of 3√(27)?
12
6
3
9
Express √(x^2) in simplest form.
-x
x
x^2
|x|
Find the 5th term of the arithmetic progression where the first term is 2 and the common difference is 3.
10
17
14
20
If the first term of a geometric progression is 5 and the common ratio is 2, what is the 4th term?
80
10
40
20
Determine the sum of the first 10 terms of the arithmetic progression 2, 5, 8, ...
145
160
155
150
If the 3rd term of a geometric progression is 24 and the common ratio is 2, what is the first term?
10
6
8
12
