Number
Probability
Geometry
Statistics
Algebra
100

Round 1852 to the nearest thousand. 

2000

100

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

100

What do the interior angles in a triangle add up to?

180o

100

3   5   6   9   6   4   3   7   3   8   5

What is the mode from the above list?

Mode = most common = 3

100

Solve a + 17 = 25

a = 8

200

Calculate 2/5 of 400.

1/5 of 400 = 80

2/5 = 160

200

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

200

What is the area of a square with side length 11cm?

11 x 11 = 121cm2

200

18   11   15   22   19   20   14   25   15   12

What is the range from the above data?

Range = Biggest - Smallest

= 25 - 11

= 14

200

Simplify 5a x 7b

5a x 7b = 35ab

300

Write 6 as a % of 24

25%

300

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

300

How many millilitres in 1.75 litres?

1 litre = 1000ml

1.7 litres = 1700ml

1.75 litres = 1750ml

300

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 = 8

300

Expand 3c(7c + 4)

3c x 7c = 21c2

3c x 4 = 12c

Answer: 21c+ 12c

400

Calculate 17 x 22

10 x 22 = 220

7 x 22 = (140 + 14) = 154

17 x 22 = 374

400

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

400

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

400

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

400

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

500

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

500

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. 

500

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

500

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.

500

Substitute x=5 into 

(3x^2)/0.5

x2 = 52 = 25

25 x 3 = 75

75 / 0.5 = 750 / 5 = 150

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