Prior knowledge
What is the area of a trapezoid with bases 3 and 8 and height 6?
33
There are 5 blue tokens and 1 black token in a basket. Two tokens are selected from the basket without replacement.
What is the probability that both tokens will be black?
0
Find the mean of the data set below.
38, 6, 22, 17, 31, 2, 14, 42, 8, 34
21.4
Find the domain of the function y=√(x+3)
<-3,+∞ )
Find the 100th term of the sequence 1, 4, 7, ...
298
In a right-angled triangle, the shortest side has length 5 and the longest side has length 13. Find the length of the medium side.
12
P(A)=0.4 and P(A and B)=0.2. Find P(B) such that A and B are independent.
0.5
What is the name of the sampling method in which you select every nth entry?
Systematic sampling
Find the equation of the line with gradient -4 and going through the origin
y=-4x
Find the 20th term of the sequence 182, 91, 45.5, 22.75, ...
3.47*10-4
Find the solutions to the equation: x2-6x=-5
x=1 or x=5
The weight of bags of sugar is normally distributed with mean 0.975 kg and standard deviation 5g.
A bag that weights less than k kg is considered underweight. This happens with 5% of the bags of sugar.
Find the value of k.
0.967 kg
Consider a data set in which Q1 is 15 and Q3 is 20.
A certain integer is an outlier and smaller than 15.
Find the largest possible value of this number.
7
Find the equation of the linear function whose graph goes through points (-1,-6) and (4,4)
y=2x-4
Kathy invests 10 000 USD into a savings account with 2.1% interest, compounded quarterly.
Find the value of Kathy's investment after 7 years.
Give your answer correct to 2 decimal places.
11579.09 USD
Expand (x-3)2
x2-6x+9
Sandy tosses a biased coin 10 times. The coin is weighed is such a manner, that the probability of throwing tails is 0.57.
Find the probability that Sandy throws exactly 4 heads in her 10 throws.
0.246
What are the 5 values required to build a box-and-whisker plot?
Min, Q1, Med, Q3, Max
Find the range of the function f(x)=x+5, if -2<x<9
Roland took out to loan of $650 000 to buy a house.
The loan is for 20 years, at a 1.8% rate.
Find the value of Roland's monthly payments. Give your answer correct to the nearest dollar.
$3227
If Mr D. is driving with a speed of 90 km/h, it takes him x hours to go from town A to town B. If he drives 30 km/h slower, the journey will take him one hour longer. What is the distance between towns A and B?
180 km
Sally believes that the weighs of cats can be modelled with a normal distribution with mean 4kg and standard deviation 0.5 kg. She then selects 5 cats for weighing.
Assuming her belief is correct, find it the probability that exactly 2 cats that she weighed will be heavier than 4.38 kg.
0.234
The mean grade of 9 students is recorded to be 5.48.
A tenth student with grade 6 joins the group and a new mean is recorded.
Find the value of the new mean.
5.532
Find the intersection points of the functions f(x)=-2x+10 and f(x)=x2-4x+2
(-2,14) and (4,2)
Consider the arithmetic sequence 2, 6, 10, 14, ... , 250
Kelly decides to add every 3rd term of this sequence, starting with the first term. Find Kelly's result.
2562