(d) If the length of a rectangle is increased by 20% and its breadth is decreased by 10%, find the percentage change in its area. ...
1 (a) During the morning shift, a factory produces one phone every x minutes. Write down an expression, in terms of x, for the number of phones produced in an hour. (b) During the night shift, the factory takes two minutes longer than the morning shift to produce each...
1. A salesperson, Don, earns a basic annual salary of $66,000 in 2008. (a) Calculate his basic monthly salary. (b) The value of the sales that Don made in 2008 was $280,000. He was paid a commission of 3.5% of the value at the end of 2008. Find his total...
1 During a 7 km biathlon race, Amy started the race by jogging at a constant speed of x km/h for half the journey. Betty continued the remaining journey of the race by swimming at a constant speed of x – 6 km/h. (a) Write down the time,...
Find the gradient of the curve at the point x = 3.2 by drawing a suitable tangent to the curve....
1. The diagram shows the speed-time graphs of two motorists P and Q during the first 8 seconds of their journey. (a) Find the acceleration of motorist Q during the last 2 seconds of the journey. ...
The areas of the 3-room, 4-room and 5-room apartments are 75m², 95m² and 120m² respectively. ...
1. A bakery sells two types of cheesecakes, namely chocolates and oreo cheesecakes. Each type of cheesecakes is sold in three different sizes – small, medium and large. The prices and the sales of the cheese cakes on two consecutive days are given in...
1. A bowl of sweets contains 12 chocolate nuggets, 13 mints and 15 toffees. Mr Chan takes two sweets at random and eats them. (a) Draw a tree diagram to represent all the possible outcome. ...
1. ACF is a vertical wall. The angle of depression of a boy at B from the top of the wall, A, is 63˚. Calculate (a) the distance between the boy and the foot of the wall, F, (b) the angle of elevation of a point C on the wall,...
