What does UTC stand for?
Coordinate Universal Time
Write an expression for '4 is subtracted from m and the result is tripled' without using the times or divides symbols.
3(m-4)
What is the circumference of a circle with a radius of 5 cm? (leave your answer in the exact form)
(Bonus 100 points): Write the value of pi up to 12 decimal places
C=10π cm2 (pi)
pi = 3.1415926535 8979323846
What is the probability of getting a red 10 in a standard deck of cards? (leave your answer in simplest form)
1/26
How many equations are there?
2(x-1)=2, 2(x+1), 2=2, 2x+1, 2x+1=2,2=4,6
4
When is 7:15 a.m. in Sydney, what time is it in Northern Territory?
6:45 a.m
Simplify 4a2 x 3ab3 x 2bc5
24a3b4c5
There is a rhombus with dimensions of 5 cm. The two diagonals are 4cm and 7 cm. What is the area of this rhombus?
14 cm2
What is the probability of getting two 6s when you roll two dice at the same time?
1/36
Solve [-3(x-3)]/5 = -21
38
Assuming there are 365 days in a year and my birthday falls on a Sunday this year, on what day will my birthday fall in 2 years' time?
on a Monday
Work out the mystery number
1. I have three digits
2. I am odd and divisible by 5 and 9
3. The product of my digits is 180
4. The sum of my digits is less than 20
5. I am greater than 302
945
The diameters of the two circles on the target are 14 cm and 28 cm.
What fraction is the smaller circle on the large one?
(Miss will draw the circles on board, please remind her to do so)
The area of a circle is A=πr2
1/4 (A quarter)
If a person guesses all the answers on a 2-question true or false test, what is the probability that he/she will get them all right?
(1/2)2 =1/4
Write the equation and solve.
A number is tripled and then add 4, which gives a result of 19
3x + 4 = 19
3x=15
x=5
It takes tap A 2 minutes to fill up a pool, and tap B 3 minutes to fill up. If we open both taps to fill the pool, how long will it take? (leave your answer in minutes)
1.2 minutes
If 5@ = (5x1)+(4x2)+3, and 6@=(6x1)+(5x2)+(4x3), what does 10@ equal?
110
Darcy is ordering tiles to cover the surface area of a swimming pool with dimensions of 10m x 5m x 2m.
What is the total area of the tiled surfaces?
110 m2
If a person guesses all the answers on a 4-question true or false test, what is the probability that he/she will get them all wrong?
(1/2)4 = 1/16
The cost of hiring a hall for an event is $200 plus $40 per hour. How many hours was it hired if the cost of hiring the hall totals $880?
17
Bob is an experienced carpenter and can sand a block of wood in 3 minutes, twice as fast as his employees. If three employees helped Bob sand 30 pieces of wood rather than doing it alone, how much time did Bob save?
54 minutes
Town A and Town B are 20 kilometers apart. If train A departs from town A and train B departs from town B at the same time, but in opposite directions. The speed of train A is twice the speed of train B. After 3 hours, they are 56 kilometers apart. What are the speeds of both trains?
A:8km/h
B: 4km/h
I am building a big cube out of 27 identical smaller cubes. I want to paint some of the smaller cubes completely red. What is the maximum number of smaller cubes I can paint so that no painted cubes are beside one another when the big cube is assembled?
14
How many ways can you arrange 4 persons at a round table?
6
The sum of 2 numbers A and B is 45. The difference between A and B is 7. Given that A is the larger number. Find the values of A and B.
A = 26
B = 19