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 2a - 13 = 57
57 + 13 = 70
70 / 2 = 35
a = 35
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
68 91 34 52 60 28 49 77
What is the range from the above data?
Range = Biggest - Smallest
= 91 - 28
= 63
Expand 3c(7c + 4)
3c x 7c = 21c2
3c x 4 = 12c
Answer: 21c2 + 12c
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
What is the median of the above list?
Median = middle of ordered data
Ordered data = 2 5 8 12 13 15
Middle value = 10
Simplify 6(4a -2b) + 10a + 18b
6(4a-2b) = 24a - 12b
24a + 10a = 34a
+18b - 12b = +6b
Answer: 34a + 6b
Calculate 1.7 x 22
10 x 22 = 220
7 x 22 = (140 + 14) = 154
17 x 22 = 374
1.7 x 22 = 37.4
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.
The ratio of blue marbles to yellow marbles is 3:1.
What is the probability that a blue marble is taken at random?
0.35 + 0.25 = 0.6
1 - 0.6 = 0.4
Blue:Yellow = 3:1
3 + 1 = 4 0.4 / 4 = 0.1
Blue's Ratio is 3 so 3 x 0.1 = 0.3
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.
What is the surface area of a cube with side length 7cm?
Surface Area is the total of the area of all 6 faces.
Each face is a square with side length 7cm.
Area of 1 square = 72 = 49cm2
Surface Area = 49 x 6 = 294cm2
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