# Sample Questions - Basic Math

## Department of Chemistry

### Sample Questions - Basic Math

FIRST YEAR CHEMISTRY

Assessment Test

Sample Questions, Basic Math

1. Round the following calculations to the proper number of significant figures:

2. Solve the following expression for f: m/c = w/f

3. Point D lies in the center of the equilateral triangle ABC. What is angle ADB (in degrees)?

4. Multiply 4 x 1052   by 2 x 1060. Express your answer in exponential form.

5.Given the following two equations with two unknowns, x and y. What is the value of x?

x + y = 1

3x + 5y = 4.2

6. The quadratic formula for the roots of x in a quadratic equation are

What are the values of x in the equation, x2   + 2 x - 3 = 0?

7. Use the quadratic formula in question 6 above, and determine the values of x in the following equation:

8. Use the quadratic formula in question 6 above, and determine the values of x in the following equation:

9. If 20.0 grams of sugar are dissolved in 80.0 grams of water, what is the mass percentage of sugar in the solution?

10. How many grams of H2SO4   are contained in 125 mL of a solution that has a density is 1.80 g/mL and contains 96.0 mass % H2SO4?

11. Copper has a density of 8.92 g/cm3. If copper wire has a radius of 0.0500 cm, how many centimeters of wire must be measured to obtain 2.00 g of copper?

12. How many square meters are there in an area of 72 square feet? (1 ft = 0.305 m)

13. The equation of a straight line is given by y = mx + b, where m is the slope and b is the intercept. What is the equation of the straight line below?

14. The graph below shows the vapor pressure of a certain liquid as a function of the temperature. Use the graph to answer the following questions:

• At what temperature is the vapor pressure 1000 torr?
• Estimate the vapor pressure when the temperature is 260 K.
• The normal boiling point of a liquid is the temperature at which the vapor pressure is equal to 1 atmosphere (760 torr). What is the normal boiling point of the liquid whose graph is shown below?

Last revised: 15 Aug, 2006 A. van der Est

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