Instructions
Solve the following mixed mathematics problems. Show all your working for full credit.
1. Algebra
Solve for x in the equation: 3x + 7 = 25
Answer: _________________________________________________________
2. Geometry
Calculate the area of a triangle with a base of 10 cm and a height of 5 cm.
Answer: _________________________________________________________
3. Fractions
Simplify the following fraction: 12/36
Answer: _________________________________________________________
4. Percentage
If a jacket costs $80 and is on sale for 25% off, what is the sale price?
Answer: _________________________________________________________
5. Geometry
A rectangle has a length of 12 m and a width of 4 m. What is its perimeter?
Answer: _________________________________________________________
6. Order of Operations
Simplify the expression: 8 + 2 × (3 + 5)
Answer: _________________________________________________________
7. Statistics
The following are the ages of students in a class: 14, 15, 13, 14, 15, 16, 14. What is the mean age?
Answer: _________________________________________________________
8. Probability
If a bag contains 3 red balls, 2 blue balls, and 5 green balls, what is the probability of picking a blue ball?
Answer: _________________________________________________________
9. Ratio
A recipe calls for a ratio of 2:3 of sugar to flour. If you have 6 cups of flour, how much sugar do you need?
Answer: _________________________________________________________
10. Equations
Expand the expression: 2(x + 3)
Answer: _________________________________________________________