Fun Quiz

A teacher earns an annual salary of 45 000 USD for the first year of her employment

Her annual salary increases by 1750 USD each year.

Calculate the annual salary for the fifth year of her employment.

• 52000

• 5200

• 510000

• 53000

A plumber in Australia charges 90 AUD per hour for work, plus a fixed cost. His total charge is represented by the cost function C = 60 + 90t, where t is in hours.

Steve received a bill for 510 AUD. Calculate the time it took the plumber to complete the job.

• 5

• 4

• 4.5

• 3

The graph of a quadratic function f (x) intersects the horizontal axis at (1, 0) and the equation of the axis of symmetry is x = −1.

Write down the x-coordinate of the other point where the graph of y = f (x) intersects the horizontal axis.

• -1

• -3

• 1

• 3

The mean of the ten numbers listed below is 6.8.

8, 5, 5, 10, 8, 4, 9, 7, p, q

Write down an equation in terms of p and q.

• p-q=8

• p+q=10

• p-q=5

• p+q=12

The mid-point, M, of the line joining A(s, 8) to B(−2, t) has coordinates M(2, 3).

Calculate the values of s and t.

• s=6, t=2

• s=-6, t=-2

• s=6, t=-2

• s=-6, t=2

U is the set of all the positive integers less than or equal to 12.
A, B and C are subsets of U.
A = {1, 2, 3, 4, 6,12}
B = {odd integers}
C = {5, 6, 8}
Write down the number of elements in A   $\cap$  B

• {1,3}

• {2.4.6}

• {1}

• {1,2,3,4,6,12}

In a group of fifteen students, three names begin with the letter B and four begin with a G. The remaining eight names begin with A, C, D, E, F, H, I and J respectively.

The 15 names are placed in a box. The box is shaken and two names are drawn out.

Find the probability that both names begin with any letter except G or B;

• 7/15

• 8/15

• 2/15

• 4/15

Consider the geometric sequence 16, 8, a, 2, b, …

Write down the common ratio.

• 2

• 1/2

• 8

• -8

The depth, in metres, of water in a harbour is given by the function d = 4 sin (0.5t°) + 7, where t is in minutes, 0 <t < 1440.

Write down the amplitude and period of d.

• Amplitude is 4 and Period is 12

• Amplitude is 4 and Period is 24

• Amplitude is 8 and Period is 12

• Amplitude is 0.5 and Period is 12

Please let us know one thing you like the most about Mathematics and one thing you like the least about it.