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1.
What is the value of 2/5
+ 2/50
+ 2/500
2.
How many perfect squares have a 7 as their units digit?
3.
The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6.
What is the difference between the largest angle and the smallest angle?
4.
For what value of x is 64x equal to 5125?
5.
A water tank is 5/6
full. When 30 litres of water are removed from the tank, the tank is 4/5
full.
How much water does the tank hold when full?
6.
What is the only positive integer that has exactly 8 divisors including 6 and 15?
7.
How many numbers can be written as a sum of two different positive integers, each at most 100?
8.
How many weeks are there in 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 minutes?
9.
Suppose that 8n = 27. What is the value of 4n?
10.
The positive integers a, b and c are all different. None of them is a perfect square, but all the products ab, ac and bc are squares. What is the least value that a + b + c can be?
11.
What is a half of a third, plus a third of a quarter, plus a quarter of a fifth?
12.
What is the remainder when 22 x 33 x 55 x 77 is divided by 8?
13.
On a training ride, Laura averages speeds of 12 km/h for 5 minutes, then 15 km/h for 10 minutes and finally 18 km/h for 15 minutes.
What was her average speed over the whole ride?
14.
How many of the following four equations has a graph that does not pass through the origin?
y = x4 - x
y = x4 + 1
y = x4 + x
y = x4 + x2
15.
The following eleven integers are written in ascending order:
1, x, x, x, y, y, y, y, 8, 9, 12
The mean of these eleven integers is 7. What is the median?
PS
I'm sure you'll know already but the × HTML entity should render the multiplication sign okay i.e. × vs x
These here should all work as they're from c. 2001, maybe the minus one is of use too?! Thanks! :o)