Number
Round 1852 to the nearest thousand.
2000
What descriptor would you use for the probability for rolling a 5 on a fair six-sided dice?
Impossible
Unlikely
Even Chance
Likely
Certain
Unlikely
What do the interior angles in a triangle add up to?
180o
3 5 6 9 6 4 3 7 3 8 5
What is the mode from the above list?
Mode = most common = 3
Solve a + 17 = 25
a = 8
Calculate 2/5 of 400.
1/5 of 400 = 80
2/5 = 160
In a classroom of 27 students, 10 of them are boys. What is the probability that a student picked at random from the class is a girl?
27 - 10 = 17
P(Girl) = 17/27
What is the area of a square with side length 11cm?
11 x 11 = 121cm2
18 11 15 22 19 20 14 25 15 12
What is the range from the above data?
Range = Biggest - Smallest
= 25 - 11
= 14
Simplify 5a x 7b
5a x 7b = 35ab
Write 5,870,000 into Standard Form
5,870,000 = 5.87 x 106
The probability that a London underground train arrives early is 0.13.
The probability that the same train arrives exactly on time 0.52.
What is the probability that this train arrives late?
0.13 + 0.52 = 0.65
1 - 0.65 = 0.35
How many millilitres in 1.75 litres?
1 litre = 1000ml
1.7 litres = 1700ml
1.75 litres = 1750ml
8 13 2 15 5 12 6
What is the median of the above list?
Median = middle of ordered data
Ordered data = 2 5 6 8 12 13 15
Middle value = 10
Expand 3c(7c + 4)
3c x 7c = 21c2
3c x 4 = 12c
Answer: 21c2 + 12c
Calculate 17 x 22
10 x 22 = 220
7 x 22 = (140 + 14) = 154
17 x 22 = 374
A bag contains red, blue, green and yellow marbles.
The probability that a red marble is taken at random is 0.35.
The probability that a green marble is taken at random is 0.25.
There an equal amount of blue and yellow marbles.
What is the probability that a blue marble is taken at random?
0.35 + 0.25 = 0.6
1 - 0.6 = 0.4
0.4 / 2 = 0.2
What is the volume of a cuboid with a base of 5cm, a length of 2cm and a height of 3.4cm?
Volume of a Cuboid = base x length x height
= 5 x 2 x 3.4
= 10 x 3.4
= 34cm3
5 8 6 9 10 7
Calculate the mean of the above data.
Mean = Total of all Values / Number of Values
5 + 8 + 6 + 9 + 10 + 7 = 45
45 / 6 = 7.5
What is the 10th term of the following sequence?
1,1,2,3,5,8,...
This is the Fibonnaci Sequence - add the two previous terms to get the next term:
1+1=2, 1+2=3, 2+3=5, ...
7th term = 5+8=13
8th term = 8+13=21
9th term = 13+21=34
10th term = 21+34=55
On the 4th January, 2011, VAT (value-added tax) increased from 17.5% to 20%.
Calculate the VAT that would be added onto a shirt that cost £40 in 2008.
In 2008, VAT = 17.5%
10% of £40 = £4
5% = half of 10% = £2
2.5% = half of 5% = £1
17.5% = 4 + 2 + 1 = £7
A dice was rolled 15 times and a '3' came up 4 times.
If the same dice was rolled 180 times, how many '3's would you expect to get?
Expected Number of 3's = P(3) x No. Rolls
No. Rolls = 180
P(3) = 4/15
4/15 x 180 = 4/15 of 180
1/15 = 12
4/15 = 48 -> You'd expect to roll 48 3's.
Angles ABC and BCE are interior angles on parallel lines. If angle ABC is 67o, how big is angle BCE?
Interior angles add up to 180o
Angle BCE = 180 - 67
Angle BCE = 113o
8 ? 7 ? 10
The mean of the 5 numbers above is 9
The mode of the 5 numbers above is 8
The range of the 5 numbers above is 5
Work out the missing two numbers.
Mean of 5 numbers is 9 -> 9 x 5 = 45 so they add up to 45
Mode is 8 so there needs to be at least one more 8 -> This gives 7,8,8,10,?
These 5 numbers add up to 33
45 - 33 = 12, which makes the range 5 as stated.
So the missing numbers are 8 and 12.
Substitute x=5 into
(3x^2)/0.5
x2 = 52 = 25
25 x 3 = 75
75 / 0.5 = 750 / 5 = 150