1. A function is given as f (x) = 2x -1. Find f-1 (x)
1. A function is given as f (x) = 2x -1. Find f-1 (x)
2. The ratio 3l (liter):45ml(milliliter) can be fully simplified as ______.
3. A fruit punch drink is to be made for a party. It consists of orange juice, pineapple juice and apple juice in the ratio 6:3:1. If we want to fill a 12litre bucket with the punch, how much orange juice will be needed?
4. Suppose that the value of the assets (in thousands of RM) of a company after t years is given by V(t) = k - 80e-0.3t (where k is a constant). Given that the initial value is 20. Find the value (in thousands of RM) after 10 years.
5. A spherical balloon has a volume of 1000 cm3. It is then inflated so that the diameter of the balloon is doubled. The volume of the balloon will now be __________.
6. The solution of the equation of 23x = 4x +1 is __________.
7. A bank pays simple interest at the rate of 8% per year for certain deposits. If a customer deposits RM2,000 and makes no withdrawal for 4 years, what is the interest earned at the end of 4 years?
8. Given the sequence, an = 3n + 2. Find the sum of the first 10 terms in the sequence.
9. In a class of 25 students, there are 15 boys and 10 girls. If a student is chosen at random from the class, the probability that the student is a boy is __________.
10. Postcodes in a country begin with either 1, 2, 3, 4, 5, 6, 7 or 8 followed by 2 more digits. How many of these postcodes can there be?
11. A die is cast. The probability that the number on the uppermost face is more than 3 is __________.
12. The probability of rolling at least one six is 11/36. What is the probability of the complementary event?
13. A cylindrical can without a top is made to contain V cm3
of liquid. Find the dimensions that will minimize the cost of the metal to make the can.
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