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This question can be solved using The Singapore maths bar method
Kieron has 3 Cats
Each a different weight
The first and second cat weigh 9kh altogether The second and third cat weigh 10kg altogether The first and third cat weigh 13kg altogether
How much does each cat weigh?
Using the exact values for the sine and cosine of both 3π/4 and π/3, and the angle difference identity for cosine, find the exact value of cos(5π/12).
In this question take
A particle of mass 0.5 kg is suspended from a fixed point O by a light elastic string of natural length 1.5 m and modulus of elasticity 12 N. The particle is released from rest at O and next comes to rest at the point A. When the particle is at the point A, the extension in the string is x
metres. Show, using energy considerations, that 8x2 -10x-15=0
The diagram shows a light rod AB of length 4a rigidly joined at B to a light rod BC of length 2a so that the rods are perpendicular to each other and in the same vertical plane. The Centre O of AB is fixed and the rods can rotate freely about O in a vertical plane. A particle of mass 4m is attached at A and a particle of mass m is attached at C. The system rests in equilibrium with AB inclined at an acute angle θ to the vertical as shown. By taking moments about O, find the value of θ.
a small block is pulled along a rough horizontal surface at a constant speed of 3m/s by a constant force. The magnitude of the force is 30N and acts at an angle of 30 degrees to the horizontal. Calculate the work done by this force in 10 seconds
An insurance salesman sells policies to 5 men, all of identical age in good health. according to the actuarial tables, the probability that a man of this particular age will be alive 30years hence is 2/3, find the probability that in 30 years, a) all men will be alive b) at least 3 men will be alive c) only 2 men will be alive d) at least 1 man will be alive,