Some schools insist on a Maths Aptitude Test before deciding upon accepting your application.  Have a go at the following questions for fun.  Click on the ANSWERS button at the end to check your score.

You should aim for 75% in 25 minutes.

Solve the following:

1)    x2 – 25 = 0

2)    x2 – 8 = 0

3)    m2 = 6m – 9

4)    3x + 2y = 7

x + y = 3

4)    4x – 3y = 1

x + 3y = 19

6)    Make ‘R’ the subject of P = I2R

7)    Make ‘C’the subject of F = 9 C +32

5

8)    Make ‘I’ the subject of E = IR + V

Simplify the following:

9)    a4 x a5

10)     y5 ¸ y2

Solve the following:

11)     t – 4 = 3

12)     2q = 4

13)     x – 8 = 12

14)     There are 30 boys and 10 girls in a class. How would this be expressed as a ratio of boys to girls?

15)     What prefix would be used to express 1,000,000 Hertz (Hz)? (i.e. ?Hz)

16)     How many milli-amps (mA) is 0.01Amperes?

Express the following as a percentage:

17)     1/5

18)     1/20

Express the following as vulgar fractions:

19)     20%

20)     2%

21)     If an aircraft lands after flying 20 nautical miles from commencing a descent on a 3° glide slope what height did the descent commence from? (1nm = 6000ft and give your answer to the nearest 100ft)

22)      A 4 sq cm piston has a force of 20N applied to it. What is the pressure inside the cylinder?

23)     An aircraft can carry 1500lbs of cargo and can fly at 240mph. How long will it take to deliver 3000lbs of supplies to a village which is 120 miles away and return home if there is a 20 mph headwind on the outward journey. (Assume the combined time for loading and unloading is 1 hour.)

24)     A 50 N load is placed on a plank 2 m from a pivot point. What load would need to be placed on a point 3 m the opposite side of the pivot for it to be in balance?

25)     If the volume in a sealed air tight container is increased two fold the density will:

26)     If it is seven weeks until Billy's fifth birthday and twelve weeks and 3 days until Sarah's sixth, how much older is Sarah than Billy?

27)     If train A is travelling at 100 mph and another train, B, is travelling at 60 mph how much sooner will train A arrive at a station 50 miles away which is exactly half way between the two trains at the outset?

Solve the following

28)     1/4 + 1/8 + 3/6

29)     4/5 + 1/4 - 1/3

30)     2/9 x 1/4 x 1/2