In the United States, Thanksgiving is celebrated on the fourth Thursday in November. Which of the following statements is (are) true?

I. Thanksgiving is always the last Thursday in November.

II. Thanksgiving is never celebrated on November 22.

III. Thanksgiving can not be celebrated on the same date 2 years in a row

In the figure at the right, how many paths are there from A to X

if the only ways to move are up and to the right? 

(A) 4          (B) 5          (C) 6           (D) 8         (E) 9

If 0< a< b< 1. which of the following is (are) true?

I. a- b is negative

II.  \(\dfrac{1}{ab}\) is positive

III. \(\dfrac{1}{b}\) - \(\dfrac{1}{a}\) is positive

(A) I only           (B) II only           (C) III only           (D) I and II only          (E) I, II and III

Michael threw 8 darts at the dartboard shown.

All eight darts hit the dartboard. Which of the following could have been his total score?

  A.22                      B.37                C.42              D.69                 E.76

Alex placed 9 number cards and 8 addition symbol cards on the table as shown.

Keeping the cards in the same order he decided to remove one of the addition cards to form a 2-digit number. If his new total was 99, which 2-digit number did he form?

   A.32                 B.43                  C.54                D.65            E.76

Andrew has two children, David and Helen. The sum of their three ages is 49. David's age is three times that of  Helen. In 5 years time, Andrew's age will be three times David's age. What is the product of their ages now?

A rhombus-shaped tile is formed by joining two equilateral triangles together. Three of these tiles are combined edge to edge to form a variety of shapesas in the example given.

How many different shaped can be formed? (Shapes which are reflections or rotations of other shapes are not considered different.)

This cube has a different whole number on each face, and has the property that whichever pair of opposite faces is chosen, the two numbers multiply to give the same result.What is the smallest possible total of all 6 numbers on the cube?

Rani wrote down the numbers from 1 to 100 on a piece of paper and then correctly added up all the individual digits of the numbers. What sum did she obtain?

Traffic signals at each intersection on a main road all change on the same 2-minute cycle. A taxi driver khows that it is exactly 3.5 km from one intersection to the next. Without breaking the 50km/h speed limit, what is the highest average speed, in kilometres per hour, he can travel to get to each intersection as it just changs to green?

A 5 x 5 x 5 cube has a 1 x 1 x 5 hole cut through from one side to the opposite side a 3 x 1 x 5 hole through another and a 3 x 1 x 5 hole through the third.

   The number of 1 x 1 x 1 cubes removed in this process is:

A.25           B.29              C.36              D.48          E.92

Damian mkes a straight cut through a painted cube, dividing it into two parts. The unpainted face created by the cut could not be be which of the following?

A.an equilateral triangle                         B. a right-angled triangle

C. a trapezium                 D. a pentagon                      E. a hexagon

A rectangle tile has a perimeter of 24 cm. When Sally places four os these tiles in a row to create a langer rectangle, she finds the perimeter is double the perimeter of a singer tile. What would be the perimeter of the rectangle formed by adding another 46 tiles to make a row of 50 tiles?

          A.306              B.400                C.416             D.480               E.162

Jasdeep plays a game in which he has to write the numbers 1 to 6 on the faces of a cube. However, he loses a point if he puts two numbers which differ by 1 on faces which share a common edge. What is the least number of points he can lose?

      A.0               B.1                   C.2                 D.3                      E.4

I can walk at 4km/h and ride my bike at 20km/h. I take 24 minutes less when I ride my bike to the station than when I walk. How many kilometres do I live from the station?

There is a total of  $25 in $2, $1 and 50c coins on a table. Peter notices that there are 20 coins altogether and that there are two more $2 coins than $1 coins. How many 50c coins are there?

How many different isosceles triangles can be drawn with sides that can be only 2cm, 3cm, 7cm or 11cm in length? Note that equilateral triangles are isosceles triangles.

Following a recipe, Shane roasts a chicken for 20 minutes and then a further 30 minutes for each 500g. How many minutes does it take Shane to cook a 1.75 kg chicken?

A prime number is called a jillyprime when doubling it and adding 1 results in another prime. How many numbers lass than 15 are jillyprimes? (Note that 1 is not a prime.)

Lee's mobile phone gives him a warning that only 20% of the battery charge remains. If it is 48 hours since he last charged his phone and he uses the phone in thesame way, how much longer, in hours, can he expect to use the phone before it runs out of battery life?