Algebra
Suppose a=b/7, where b=22. What is the value of a, correct to three significant figures.
3.14
Faith measures the length of a window as 250cm correct to the nearest centimetre. What is the percentage error in her measurement?
0.2%
Grace invests $1000 for a term of 15 months.
Interest is paid at a flat rate of 3.75% per annum. How much will Graces's investment be worth at the end of the term?
$1046.88
A factory's quality control department has test every 50th item produced for possible defects.
What type of sampling has been used?
Systematic
Surprise Question:
What is your Math Teacher's favourite colour?
Pink
Surprise Question:
Name 2 people in Mrs S Tutor Group.
Various
If a machine that prints books can produce 500 books in 3 hours, how many hours will it take to produce 1800 books?
10.8 hours
A new phone was purchased for $725 which included 10% GST.
What was the price of the phone without GST, correct to the nearest cent?
$659.09
In a school of 1200 students, 120 of them were interviewed about their sport preferences. Suppose 15 students from Year 12 were surveyed using a stratified random sample. How many students are there in year 12?
150
An experiment has three distinct outcomes. A, B and C. Outcome A occurs 50% of the time. Outcome B occurs 23% of the time.
What is the expected number of times C would occur if the experiment is conducted 500 times?
135
If d=6t2 , what is a possible value of t when d=2400?
20
Surprise Question
How many male Maths teachers are there at LN?
4
Lucy's normal rate of pay is $24.80 per hour. In one week he worked 14 hours at the normal rate, 4 hours at time and a half, and 3.5 hours at double time. She was also paid a wet weather allowance of $50 for the week.
What was her pay for this week?
$719.60
For the set of scores:
3, 5, 9, 4, 7, 10, 4, 6, 5, 8, 6, 3
find the mean and standard deviation.
mean =5.82
SD = 2.19
Each time she throws a dart, the probability of that Mary hits the dart is 2/7.
She throws two darts, one after the other.
What is the probability that she hits the dartboard with both darts?
4/49
The total cost, $C, of a school excursion is given by C=2n+5, where n is the number of students.
If three extra students go on the excursion, by how much does the total cost increase?
$6
Calculate the surface area of a sphere with a radius of 5cm, correct to the nearest whole number.
314 cm2
A salesman earns $200 per week plus $40 commission for each item he sells.
How many items does he need to sell to earn a total of $2640 in two weeks?
56
Surprise Question
Which teacher sits next to Mrs S in the staffroom
Mrs Halmy
Two unbiased dice, each with faces numbered 1, 2, 3, 4,5 and 6 are rolled. What is the probability of obtaining a sum of 6?
5/36
The weight of an object on the moon varies directly with its weight on Earth. An astronaut who weighs 84kg on Earth weighs only 14kg on the moon.
A lunar landing craft weighs 2449kg when on the moon. Calculate the weight of this landing craft when on Earth.
14694kg
Singapore is located at 1oN 104oE and Sydney is located at 34oS 151oE.
What is the time difference between Singapore and Sydney? (Ignore Daylight Saving)
3 hours 8 minutes
Juliet has a gross salary of $56350. She has tax deductions of $350 for union fees, $2000 in work related expenses and $250 in donations to charities.
The medicare levy is 1.5% of her taxable income.
Calculate Juliet's Medicare levy.
$806.25
The mean of a set of ten scores is 14. Another two scores are included and the new mean is 16.
What is the mean of the two additional scores?
26
Two dice are rolled. What is the probability that only one of the dice shows a six?
10/36 = 5/18