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# 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 10^{52} by 2 x 10^{60}. 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, x^{2} + 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 H_{2}SO_{4} are contained in 125 mL of a solution that has a density is 1.80 g/mL and contains 96.0 mass % H_{2}SO_{4}?

11. Copper has a density of 8.92 g/cm^{3}. 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

© Brock University, 2001

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