1.
If a² = 12, then a^{4} = ?
2.
A dress on sale in a shop is marked at $D. During the discount sale its
price is reduced by 15%. Staff are allowed a further 10% reduction on
the discounted price. If a staff member buys the dress what will she
have to pay in terms of D?
3.
A certain animal in the zoo has consumed 39 pounds of food in six days.
If it continues to eat at the same rate, in how many more days will its
total consumption be 91 pounds?
4.
If n is even, which of the following cannot be odd?I n + 3II 3nIII n² - 1
5.
One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?I 24II 20III 5
6.
N is an integer chosen at random from the set{5, 7, 9, 11 }p is chosen at random from the set{2, 6, 10, 14, 18}What is the probability that n + p = 23 ?
7.
If the radius of the circle with centre O is 7 and the measure of angle
AOB is 100, what is the best approximation to the length of arc AB ?
8.
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6
hours per day on Tuesday and Thursday. She does not work on Saturday
and Sunday. She earns $324 per week. How much does she earn in dollars
per hour?
9.
If the product of 6 integers is negative, at most how many of the integers can be negative?
10.
If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?
I n is odd
II n + 1 cannot be a prime number
III (n + 2) divided by 7 has remainder 2
11.
A solid cube of side 6 is first painted pink and then cut into smaller
cubes of side 2. How many of the smaller cubes have paint on exactly 2
sides?
12.
Line l contains the points (3,1) and (4,4). If line m is a different line, parallel to line l in the same coordinate plane, which of the following could be the equation of line m?
13.
A triangle has a perimeter 13. The two shorter sides have integer
lengths equal to x and x + 1. Which of the following could be the
length of the other side?
14.
A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles?
15.
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts
water. The painter has by mistake added water so that he has 6 liters
of paint which is half water and half paint. What must he add to make
the proportions of the mixture correct?
A.
B.
C.
½ liter water and one liter paint
D.
½ liter paint and one liter water
E.
16.
6 pints of a 20 percent solution of alcohol in water are mixed with 4
pints of a 10 percent alcohol in water solution. The percentage alcohol
in the new solution is ___.