All Questions

What number should be relaced the question mark ?

In an NBA basketball game, a player scores 44 points, 5 of which come from 5 foul shots (each shot scores 1 point). He makes more 2-point shots than 3-point shots. Of the following number, which cannot possibly be the total number of 2-point and 3-point shots made by this player?

（A）15  （B）16  （C）17    （D）18  （E）19 

A diagram shows a large cube formed of eight identical small cubes (imagine as a 2*2*2 cube). The surface area of the large cube is 216 square centimetres less than the total surface areas of the eight small cubes. What is the length, in centimetres, of a side of a small cube?

（A）2   （B）3   （C）4   （D）5   （E）6 

 The given diagram shows the calendar for the month of November, 2011. Three numbers from the same column are chosen. Of the following number, which can be the sum of three such numbers?

（A）21  （B）37  （C）38 （D）40  （E）54 

NOVEMBER 2011

The given diagram shows how a square ABCD with side length 40 may be dissected into six pieces by three straight cuts AC, BD and EF, where E and F are the respective midpoints of AB and BC. The pieces are then rearranged to form the given shape. What is the total area, in square centimetres, of the shaded part of the given shape? 
 （A）200  （B）400  （C）600  （D）800  （E）1000 

The given diagram shows a pocket knife. The shaded part is a rectangle. The two edges of the blade are parallel, forming angles 1 and 2 with the shaft as shown. What is the measure, in degrees, of  ∠1 +∠2 ?

（A）30  （B）45  （C）60 （D）90  （E）could not be determined 

The given diagram shows two overlapping   right triangles having a common vertex O.  If ∠AOD = 123°, what is the measure,  in degrees, of  ∠BOC?

（A）33    （B）53 （C）57    （D）60 （E）66 

A greengrocer is having an apple sale. The price is $6 per kilogram. If the total purchase exceeds 3 kilograms, a 20% discount is applied to the portion over 3 kilograms. There is no discount if the total purchase does not exceed 3 kilograms. If Leith buys 8 kilograms of apples from this greengrocer, how much does he pay? 

A rectangle is 6 cm by 8 cm. It is revolved about an axis on the rectangle itself. What is the number of different cylinders that may be obtained in this way?

（A）2   （B）4   （C）6   （D）8   （E）Infinity 

Around 550 BC, the Greek mathematician Pythagoras discovered and proved a theorem which now bears his name. To celebrate this achievement, he had 100 cows killed for a feast. Thus the result is also known as the One Hundred Cows Theorem. What is the anniversary of this result in 2011? (There is no Year 0.)

（A）2562  （B）2560  （C）2561  （D）1460  （E）1461