How many two-digit numbers are there such that when 304 is divided by the two-digit number leaving the remainder 24 ?

On the table is a regular hexagon and a square. The side AB of the hexagon coincides with the side EF of the square. With the hexagon fixed, the square rotates about a common vertex until another side of the hexagon coincides with another side of the square. How many such rotations will it take to bring EF back to AB again ?

In a standard clock, the angle between two of its hands is the angle they form which is 180⁰ or less. In which of the following five times will the angle between the minute and second hands be greater than or equal between the hour and the second hand ?

A sack of 5 kg of rice costs 48 dollars. A sack of 10 kg costs 92 and a sack of 25 kg costs 210 dollars. If we want the average cost per kg of rice to be 9 dollars, how many sacks of rice do we have to buy ?

How many different rectangles ( including squares ) in different positions are there in the diagram below ?

In each of the five diagrams, there are four circles with respective radius 7, 6, 3 and 2 cm. For which diagram is the area of the non-overlapping part of the largest circle equal to the total area of the non-overlapping parts of the other three circles ?

Every student in a class is either in the mathematics club or the language club, and one third of them are in both. If there are 22 students in the language club, 4 less than the number of students in the mathematics club, how many students are there in this class?

The numbers 1 to 9 form a 3 by 3 table. The sum of every pair of adjacent numbers along a row or a column is computed. What is the largest total of these sums?

The diagram below shows a square of side length 20 cm, with three semicircle drawn inside it, with three of its sides as diameters. What is the area, in cm², of the shaded region ? ( Take $\pi =3.14$ )

When a three-digit number is increased by 1, the sum is divisible be 15. When it is decreased by 3, the difference is divisible by 8. The sum of it and the number obtained from it by reversing the order of the digits if divisible by 10. What is this number ?

What is the value of 2015 + 1520 + 5201 ?

The three numbers in each of the following groups are multiplied together. Which group yields 2014 as the product ?

A large bottle of apple juice costs 6.5 dollars while a small bottle of apple juice costs 2.8 dollars. How many dollars less is the cost of a large bottle compared to the total cost of three small bottles ?

Which of the following differences has the smallest value ?

The two stars in the diagram represent the same number. The sum of the three numbers in the second row is equal to twice the sum of the three numbers in the first row. What number does each star represent ?