numbers
What is 0.046875 correct to 2 significant figures
0.047
solve: 5x-3y+7 when x=2 y=3
8
What is the Pythagorean theorem
a2+b2=c2
The probability that Kim wins a game is 0.72 .
In one year Kim will play 225 games.
Work out an estimate of the number of games Kim will win.
162
m=(5/7)
find 3m
(15/21)
work out: 2 2/3 +3 1/2
In simplest form
6 1/6
simplify the expression: 4x+3x−2 × 53
7x-250
what is the cosine rule
a2=b2+c2-(2bcCos(A))
Define the terms:
mean
median
mode
The average of a set of numbers..
The middle value when the numbers are in order.
The number that appears most often.
a=(-3/2) b= (5/4)
Find 3a −2b .
(-19/-2)
What is the highest odd number that is a factor of 60 and 90
15
expand and simplify:(x+2)(x−5)
x2−3x−10
what cos(45) - exact value
1/√2
The number of books read by 10 students over the summer are:
3, 5, 7, 2, 5, 8, 6, 5, 4, 9
Find the mean number of books read.
Find the median and mode.
5.4,5,5
find the magnitude of the vector
(10/-24)
26
The selling price of a shirt is $26.50
This includes a 6% tax
Calculate the price of the shirt before tax
$25
factorise:x2−2x−15
(x−5)(x+3)
find the area of a hexagon with the side length of 7.4cm
142cm2
The students in Class A and in Class B take the same examination.
The lowest score in Class A is 39
The range of scores for Class A is 57 The lowest score in Class B is 33
The range of scores for Class B is 60
Find the range of scores for all the students in both classes
63
Point A has coordinates (6, 4) and point B has coordinates (2, 7). Write AB as a column vector.
(-4/3)
a=(√8)+2
b=(√8)-2
t=a2-b2
work out the value of t
give your answer in the form of c√2
16√2
Solve this simultaneous equation:
y=x+2
x2+y=10
x = -4 or 2
y = -2 or 4
A person stands 50 m from the base of a tower and sees the top at an angle of 32°.
Later, they walk to a point 20 m closer and now see it at 41°.
Estimate the height of the tower.
30–31 m
A bag contains 7 red discs, 5 green discs and 2 pink discs.
Helen takes one disc at random, records the colour and replaces it in the bag. She does this 140 times.
Find how many times she expects to take a green disc.
50
P is the point (16, 9) and Q is the point (22, 24).
N is the point on PQ such that PN = 2NQ. Find the coordinates of N.
(20,19)