1. Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $324 per week. How much does she earn in dollars per hour?

11

10

9

8

7

2. ABCD is a parallelogram. BD = 2. The angles of triangle BCD are all equal. What is the perimeter of the parallelogram?

12

9√ 3

9

8

3√ 3

3. If the product of 6 integers is negative, at most how many of the integers can be negative?

2

3

4

5

6

4. If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?

Select ALL such statements.

n is odd

n + 1 cannot be a prime number

(n + 2) divided by 7 has remainder 2

n + 3 is divisible by 5

5. A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?

30

24

12

8

6

6. The slope of the line passing through the point (5,5) is 5/6. All of the following points could be on the line except

(2.5, 2)

(11, 10)

(8, 7.5)

(-1, 0)

(-7, -5)

7. In the figure above the square has two sides which are tangent to the circle. If the area of the circle is 4a²π, what is the area of the square?

2a^{2}

4a

4a^{2}

16a^{2}

64a^{2}

8. A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

Select as many as are correct.

4

6

8

9. A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles?

60bm/c

bm/60c

bc/60m

60b/cm

b/60cm

10. Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

1 litre paint

1 litre water

1/2 litre water and one litre paint

1/2 litre paint and one litre water

1/2 litre paint

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