10 people can paint a building in 5 days.
**If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?**

7/5

5/7

7/10

10/7

**How many meters are there in 21 feet**?

Note:

In the metric system of units: 1 meter = 100 centimeters and 1 meter:1 foot = 3.25:1

6.4615

646.15

6825

68.25

1 foot = 1÷3.25 meters

21 feet = 21×1÷3.25 = 6.4615 meters

**What is the x value such that y =15 - 3x and y = 0?**

15

5

3

Hence 15 - 3x = 0

Hence 3x = 15 x = 5

**Put these four fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2**

1/4, 1/2, 4/7, 2/3

1/4, 1/2, 2/3, 4/7

1/2, 2/3, 1/4, 4/7

1/4, 4/7, 1/2, 2/3

or

If 1/4, 2/3, 4/7, 1/2 are converted to fractions with a common denominator 21/84, 56/84, 48/84, 42/84 then the correct order is obvious.

**On a number line what is the distance between -3/7 and -2/3 ?**

23/21

1/4

5/21

-23/21

The distance between these numbers is abs(-3/7 − -2/3 )

= abs(-(3/7 -2/3))

= abs(3/7 -2/3)

= abs(9/21 - 14/21)

= abs(-5/21 )

=5/21

An isosceles triangle has two equal sides.
**If two of the sides are 5 inches and 2 inches how long is the perimeter?**

19 inches

12 inches

10 inches

None of the above

**The cylinder below has r = 10 inches and a volume of 6283 cubic inches to the nearest cubic inch. Find the height of the cylinder to the nearest inch.**

25 inches

3 inches

10 inches

20 inches

(pi)r2h = 6283. h is the height. (pi) is 3.14...

h = 6283÷(pi)÷100 = 19.999.... h = 20 The height of the cylinder is 20 inches.

A rocket on a computer screen has a path modeled by the equation h=-t^{2}+3t+10 where t is time in seconds and h is the height above a platform and is in computer units. **Find how long the rocket takes to reach the platform.**

2 seconds

10 seconds

12 seconds

5 seconds

^{2}+3t+10. This can be rearranged to t2-3t-10 = 0. Hence (t - 5)( t + 2) = 0. Solving the equation gives t = 5 or -2. As t is a time it is not possible for t to be -2. The rocket takes 5 seconds to reach the platform.

**In the diagram below, which line has a positive slope?**

AB

AD

AC

DB

The coordinates of A are (1,2), the coordinates of D are (-2,4). The slope of AD is (4-2)/( -2-1) = -4/3

The coordinates of A are (1,2), the coordinates of C are (2,4). The slope of AB is (4-2)/( 2-1) = 2

The coordinates of D are (-2,4), the coordinates of B are (3,2). The slope of DB is (2-4)/( 3− -2) = -4/5

**In the diagram below, what are the coordinates of the mirror image of the point B in the x-axis?**

(3,-4)

(3,-2)

(-3,2)

(2,3)